A paving company is paving the rectangular student parking lot at hamilton high school. the length of the parking lot can be represented as (5 − 7) and the width as (3 + 4) . which expression represents the area of the parking lot?

Answers

Answer 1

The expression that represents the area of the parking lot is (5 - 7) * (3 + 4).

How to express the area of the parking lot?

The length of the parking lot can be represented as (5 - 7), which simplifies to -2. The width of the parking lot can be represented as (3 + 4), which simplifies to 7. To find the area of a rectangle, we multiply the length by the width.

Therefore, the expression that represents the area of the parking lot is (-2) * 7. Multiplying -2 by 7 gives us -14. So, the area of the parking lot is -14 square units.

However, it is important to note that negative areas do not have practical meaning in this context, as areas are typically positive values. Therefore, the area of the parking lot would be considered 14 square units.

Learn more about length
brainly.com/question/16531141

#SPJ11


Related Questions

An oil tank is the shape of a right rectangular prism. The inside of the tank is 36. 5 cm long, 52 cm wide, and 29 cm


high. If 45 liters of oil have been removed from the tank since it was full, what is the current depth of oil left in the


tank?

Answers

The current depth of oil left in the tank is approximately 4.64 cm.

The volume of the oil tank can be found by multiplying its length, width, and height:

Volume of the oil tank = length x width x height

= 36.5 cm x 52 cm x 29 cm

= 53,854 cubic cm

If 45 liters of oil have been removed from the tank, the current volume of oil in the tank is:

Current volume of oil = Total volume of tank - Volume of oil removed

= 53,854 cubic cm - 45,000 cubic cm (1 liter = 1000 cubic cm)

= 8,854 cubic cm

Let's assume that the depth of oil left in the tank is x cm. Then the volume of oil left in the tank can be found by multiplying the length, width, and depth of oil:

Volume of oil left in tank = length x width x depth of oil

= 36.5 cm x 52 cm x x cm

= 1906x cubic cm

Now we can set up an equation to find the value of x:

1906x = 8,854

Dividing both sides by 1906, we get:

x = 4.64 cm

Therefore, the current depth of oil left in the tank is approximately 4.64 cm.

To know more about depth of tank , refer here :

https://brainly.com/question/15008863#

#SPJ11

Tina is selling tickets for a fundraiser.


She wants to sell more than $300 worth


of tickets. The inequality 12t> 300 can


be used to determine the number of


tickets, t, she must sell in order to meet


her goal. Which number line represents


the solution to this inequality? (6. 9B |


6. 1A, 6. 1B, 6. 10, 6. 1F)


10


20


30


B


to


10


20


30


+


С


+o


+


10


20


30


D


+


10


O


20


30

Answers

The number line that represents the solution to this inequality is 6.10, with an open circle at 25 and shading to the right.

To solve the inequality 12t > 300, we need to isolate t on one side of the inequality. We can do this by dividing both sides by 12:

12t/12 > 300/12

t > 25

This means that Tina must sell more than 25 tickets in order to meet her goal of selling more than $300 worth of tickets.

To represent this solution on a number line, we can start by plotting a point at 25. Since the inequality is greater than (>) and not greater than or equal to (≥), we use an open circle at 25.

Then, we need to shade the area to the right of 25 to represent all the possible values of t that satisfy the inequality. This is because any value of t greater than 25 will make 12t greater than 300.

Out of the answer choices given, the number line that represents the solution to this inequality is 6.10, with an open circle at 25 and shading to the right.

To know more about inequality, refer to the link below:

https://brainly.com/question/22010462#

#SPJ11

(1 point) Consider a piece of wire with uniform density. It is the quarter of a circle in the first quadrant. The circle is centered at the origin and has radius 5. Find the centroid (cy) of the wire. =y= (1 point) Compute the total mass of a wire bent in a quarter circle with parametric equations: 2 = 9 cost, y=9 sint, 0

Answers

The total mass of the wire is [tex]M = 9\rho * (\pi/2).[/tex]

How to find the total mass of the wire?

Using the formula for finding the centroid of a two-dimensional object with uniform density:

cy = (1/Area) * ∫(y*dA)

The equation of the circle is [tex]x^2 + y^2 = 25[/tex]. Solving for y, we get:

[tex]y = \sqrt(25 - x^2)[/tex]

Since the wire is in the first quadrant, the limits of integration are 0 ≤ x ≤ 5 and 0 ≤ y ≤ [tex]\sqrt(25 - x^2).[/tex]

To find the area of the wire, we integrate:

[tex]Area = \int \int dA = \int 0^5 \int 0^{\sqrt(25-x^2)}dy dx[/tex]

[tex]= \int 0^{5 (sqrt(25-x^2))}dx[/tex]

[tex]= (1/2) * [25sin^{(-1)(x/5)} + x\sqrt(25-x^2)] from 0 to 5[/tex]

[tex]= (1/2) * [25\pi/2] = 25\pi/4[/tex]

To find the centroid (cy), we integrate:

[tex]cy = (1/Area) * \int(ydA) = (1/(25\pi/4)) * \int0^5 \int0^{\sqrt(25-x^2)} y dy dx[/tex]

[tex]= (4/25*\pi) * \int0^5 [(1/2)*y^2]_0^{\sqrt(25-x^2)} dx[/tex]

[tex]= (4/25\pi) * \int 0^5 [(1/2)(25-x^2)] dx[/tex]

[tex]= (4/25\pi) * [(25x - (1/3)*x^3)/2]_0^5[/tex]

[tex]= (4/25\pi) * [(255 - (1/3)*5^3)/2][/tex]

[tex]= 50/3[/tex]

Therefore, the centroid of the wire is cy = 50/3.

Now use the formula for the mass of a thin wire for total mass:

M = ∫ρ ds

Since the wire has uniform density, the linear density is constant and can be factored out of the integral:

M = ρ * ∫ds

The differential element of arc length is:

[tex]ds = \sqrt(dx^2 + dy^2) = \sqrt((-9sin t)^2 + (9cos t)^2) dt[/tex]

[tex]= 9\sqrt(sin^2 t + cos^2 t) dt = 9 dt[/tex]

Integrating from 0 to pi/2, we get:

[tex]M = \rho * \int ds = \rho * \int 0^{(\pi/2)} 9 dt[/tex]

[tex]= 9\rho * [t]_0^{(\pi/2)} = 9\rho * (\pi/2)[/tex]

Therefore, the total mass of the wire is [tex]M = 9\rho * (\pi/2).[/tex]

Learn more about centroid and mass of a wire

brainly.com/question/30887628

#SPJ11

HA Leonardo le compraron 3 libros por su cumpleaños. Si por dos se pagaron 760 y la cuenta fue de 1125 cuanto costó el tercer libro​

Answers

Sure, I'd be happy to help you with that. Based on the information provided, we know that HA Leonardo received three books for his birthday and two of them cost a total of 760. To find out the cost of the third book, we need to subtract the cost of the two books from the total amount paid, which is 1125.

To do this, we can use a simple equation:

Total cost of three books - Total cost of two books = Cost of third book

So, we can plug in the values we know:

1125 - 760 = Cost of third book

Solving for the cost of the third book:

365 = Cost of third book

Therefore, the third book cost 365.

In summary, HA Leonardo received three books for his birthday and two of them cost 760. The total amount paid was 1125, so the cost of the third book was 365.

To know more about volume of a rectangle refer here

https://brainly.com/question/12845053#

#SPJ11

what the size of angle g 82,104,76

Answers

Answer:

angle g is 98 degrees.

Step-by-step explanation:

assuming the figure is a quadrilateral,

angle g + 82 + 104 + 76 = 360 ( Property of Quadrilateral)

262 + angle g = 360

angle g = 98 degrees

There are 30 chocolates in a box, all identically shaped. There are 5 filled with coconut and 10 filled with caramel. The other 15 are solid chocolate. You randomly select one piece, eat it, and then select a second piece. What is the probability of selecting a caramel chocolate both times? Are the events of selecting a caramel chocolate on your first pick and selecting a caramel chocolate on your second pick indipendent or dependent? Round to three decimal places

Answers

The probability of selecting a caramel chocolate both times is approximately 0.103.

The events of selecting a caramel chocolate on each pick are dependent since the probability of the second pick depends on the outcome of the first pick.

First, we need to calculate the probability of selecting a caramel chocolate on the first pick, which is 10/30 or 1/3. After eating the first chocolate, there will be 29 chocolates left in the box, and 9 of them will be caramel-filled. So, the probability of selecting a caramel chocolate on the second pick, given that the first pick was a caramel chocolate and it was eaten, is 9/29.

To find the probability of selecting a caramel chocolate both times, we need to multiply the probabilities of the two events together, since they are independent:

P(caramel and caramel) = P(caramel on first pick) * P(caramel on second pick | first pick was caramel)

= (1/3) * (9/29)

= 0.103 or 0.1034 rounded to four decimal places.

Therefore, the probability of selecting a caramel chocolate both times is approximately 0.103.

The events of selecting a caramel chocolate on the first pick and selecting a caramel chocolate on the second pick are dependent events since the probability of selecting a caramel chocolate on the second pick changes based on what was selected on the first pick.

To know more about probabilities, refer here :

https://brainly.com/question/30034780#

#SPJ11

Your team arrived to the scene at 9:30 am and found the temperature of the body at 85 degrees. The team


continued to help collect evidence and noted that the thermostat was set at 72 degrees. After collecting


evidence for one hour, your team checked the body temperature again and found it to now be at 83. 3


degrees


Your team must figure out what time the murder took place.

Answers

The murder took place approximately 1.17 hours before the team arrived, which is 8:13 am.

Assuming that the body follows Newton's law of cooling, we can use the formula:

T(t) = Tm + (Ta - Tm) * e^(-kt),

where T(t) is the body temperature at time t, Tm is the temperature of the surrounding medium (in this case, the room), Ta is the initial temperature of the body, and k is a constant that depends on the properties of the body and the surrounding medium.

We can use the information given to find k:

At t = 0 (when the murder took place), T(0) = Ta = unknown

At t = 0.5 hours (30 minutes after the murder), T(0.5) = 85 degrees

At t = 1.5 hours (90 minutes after the murder), T(1.5) = 83.3 degrees

Using the formula above, we can write two equations:

85 = Ta + (72 - Ta) * e^(-0.5k)

83.3 = Ta + (72 - Ta) * e^(-1.5k)

Solving for Ta in the first equation, we get:

Ta = 72 + (85 - 72) / e^(-0.5k) = 72 + 13 / e^(-0.5k)

Substituting this expression for Ta into the second equation, we get:

83.3 = (72 + 13 / e^(-0.5k)) + (72 - (72 + 13 / e^(-0.5k))) * e^(-1.5k)

Simplifying and solving for e^(-0.5k), we get:

e^(-0.5k) = 0.979

the natural logarithm of both sides, we get:

-0.5k = ln(0.979)

Solving for k, we get:

k = -2 * ln(0.979) / 1 = 0.0427

Now we can use the formula again to find Ta:

Ta = 72 + (85 - 72) / e^(-0.5k) = 72 + 13 / e^(-0.5*0.0427) = 78.1 degrees

So the initial temperature of the body was 78.1 degrees.

To find the time of death, we can use the formula again and solve for t when T(t) = 78.1:

78.1 = 72 + (Ta - 72) * e^(-0.0427t)

Substituting Ta = 85 (the initial temperature of the body) and solving for t, we get:

t = -ln((85 - 72) / (78.1 - 72)) / 0.0427 = 1.17 hours

Therefore, the murder took place approximately 1.17 hours before the team arrived, which is 8:13 am.

To know more about collect evidences refer here:

https://brainly.com/question/28767044

#SPJ11

7 2 14 3 8 11 5 each time a card is picked it is replaced estimate the expected number of even numbers picked in 35 picks

Answers

We can estimate that the expected number of even numbers picked in 35 picks is 15.

To estimate the expected number of even numbers picked in 35 picks, we need to first understand the probability of picking an even number in one pick. Out of the seven given numbers, there are three even numbers (2, 14, 8) and four odd numbers (7, 3, 11, 5). Therefore, the probability of picking an even number in one pick is 3/7.

To find the expected number of even numbers picked in 35 picks, we can multiply the probability of picking an even number in one pick (3/7) by the number of picks (35).

Expected number of even numbers picked = (3/7) x 35 = 15

Therefore, we can estimate that the expected number of even numbers picked in 35 picks is 15. This means that if we were to repeat the process of picking a card and replacing it 35 times, we would expect to pick 15 even numbers on average.

It is important to note that this is an estimate and the actual number of even numbers picked may vary. However, this estimation gives us a good idea of what to expect on average.

To know more about expected, visit:

https://brainly.com/question/30456668#

#SPJ11

A scientist recorded the movement of a pendulum for 12 s. The scientist began recording when the pendulum was at its resting position. The pendulum then moved right (positive displacement) and left (negative displacement) several times. The pendulum took 6 s to swing to the right and the left and then return to its resting position. The pendulum’s furthest distance to either side was 7 in. Graph the function that represents the pendulum’s displacement as a function of time. (a) Write an equation to represent the displacement of the pendulum as a function of time. (B) Graph the function. (Please help me answer this for my friend. I am so baffled)

Answers

The equation for the displacement of the pendulum as a function of time is: displacement = 7 sin(π/3 t)

How to explain the equation

The motion of a pendulum can be modeled using a sine function:

displacement = A sin(ωt + φ)

where A is the amplitude (the furthest distance from the equilibrium point), ω is the angular frequency (related to the period T by ω = 2π/T), t is time, and φ is the phase angle (determines the starting point of the oscillation).

In this case, the pendulum has an amplitude of 7 inches and a period of 6 seconds (since it takes 6 seconds to swing to one side and then back to the other). Therefore, the angular frequency is:

ω = 2π/T = 2π/6 = π/3

The phase angle is 0, since the pendulum starts at its equilibrium position.

So, the equation for the displacement of the pendulum as a function of time is:

displacement = 7 sin(π/3 t)

where t is measured in seconds and the displacement is measured in inches.

Learn more about equations on;

https://brainly.com/question/2972832

#SPJ1

A favorite activity at LNHS is throwing paper


balls into the trashcan while the teacher isn't


looking. Suppose a paper ball is shot from 5 feet


off the ground, and the paper ball reaches a


height of 10 feet after 3 seconds.


*Write the equation that models the height (h)


of the paper ball at any given second (t).



Help me!!

Answers

The equation that models the height (h) of the paper ball at any given second (t) is: [tex]h = -16t^2 + 49.67t + 5.[/tex]

To write the equation that models the height (h) of the paper ball at any given second (t), we can use the formula:

[tex]h = -16t^2 + vt + s[/tex]

where v is the initial velocity (in feet per second), s is the initial height (in feet), and t is the time (in seconds).

In this case, we know that the paper ball was shot from 5 feet off the ground, so s = 5. We also know that the paper ball reached a height of 10 feet after 3 seconds, so we can use this information to find the initial velocity:

[tex]h = -16t^2 + vt + s[/tex]
[tex]10 = -16(3)^2 + v(3) + 5[/tex]
10 = -144 + 3v + 5
149 = 3v
v = 49.67 (rounded to two decimal places)

Now we can substitute the values for v and s into the equation:

[tex]h = -16t^2 + vt + s\\h = -16t^2 + 49.67t + 5[/tex]

Therefore, the equation that models the height (h) of the paper ball at any given second (t) is:

[tex]h = -16t^2 + 49.67t + 5.[/tex]

To know more about models of the height refer here:

https://brainly.com/question/2817428

#SPJ11

A baker has small and large bags of sugar for making cakes. The large bag contains 30 cups of sugar and it's 2. 5 times larger than the small bag. The small bag contains enough sugar to make nine cakes and have. 75 cups of sugar remaining



How many cakes can be made with a large bag of sugar?

Answers

The number of cakes that can be made with a large bag of sugar, we first need to determine the amount of sugar in a small bag and then calculate the amount of sugar needed for one cake.

1. Find the amount of sugar in a small bag:
Since the large bag contains 30 cups of sugar and is 2.5 times larger than the small bag, we can write the equation:
Small bag = Large bag / 2.5
Small bag = 30 cups / 2.5
Small bag = 12 cups of sugar

2. Determine the amount of sugar needed for one cake:
The small bag contains enough sugar to make 9 cakes and have 0.75 cups of sugar remaining. So, we can subtract the remaining sugar from the total amount in the small bag:
Sugar used for 9 cakes = 12 cups - 0.75 cups
Sugar used for 9 cakes = 11.25 cups

Now, we can find the amount of sugar needed for one cake:
Sugar per cake = Sugar used for 9 cakes / 9
Sugar per cake = 11.25 cups / 9
Sugar per cake = 1.25 cups

3. Calculate the number of cakes that can be made with a large bag of sugar:
Cakes from large bag = Large bag sugar / Sugar per cake
Cakes from large bag = 30 cups / 1.25 cups
Cakes from large bag = 24

Therefore, a baker can make 24 cakes with a large bag of sugar.

Learn more about cakes at https://brainly.com/question/5587893

#SPJ11

If the area of the top of a cylinder is 16 square cm and the height is 8 cm, what is the volume of the cylinder?
Answers:
A. 128 cm cubed
B. 512 cm cubed
C. 256 cm cubed
D. 64 cm cubed

Answers

The answer is A. 128 because 16x8=128

A. 128CM CUBED

Step-by-step explanation:

THE FORMULLA : it's v(volume) =AB (BAZE AREA OR TOP AREA ) × HEIGHT SO

16 SQUARE CM ×8CM

=128CM CUBED

The ratio of m angle wxz to m angle zxy is 11:25. what is m angle zxy

Answers

The measure of angle zxy is 125 degrees.

To solve the problem, we can use the fact that the sum of the measures of two adjacent angles is 180 degrees. Let's call the measure of angle zxy "x".

We know that the ratio of m angle wxz to m angle zxy is 11:25, which means that:

m angle wxz : m angle zxy = 11 : 25

We can write this as an equation:

m angle wxz / m angle zxy = 11/25

We also know that the two angles are adjacent, so their measures add up to 180 degrees:

m angle wxz + m angle zxy = 180

Now we can use these two equations to solve for x:

m angle wxz / x = 11/25

m angle wxz = (11/25)x

Substituting this into the second equation:

(11/25)x + x = 180

(36/25)x = 180

x = (25/36) * 180

x = 125

Therefore, the measure of angle zxy is 125 degrees.

Learn more about adjacent angles,

https://brainly.com/question/28394984

#SPJ11

Find 30% of 70. HELPPP

Answers

Answer:

21

Step-by-step explanation:

70 · .30 = 21

In ΔUVW, the measure of ∠W=90°, UV = 4. 7 feet, and WU = 2. 2 feet. Find the measure of ∠U to the nearest degree

Answers

The measure of angle U in triangle UVW is approximately 28 degrees. This is found by using the inverse tangent function to solve for angle U given the lengths of two sides and the fact that angle W is a right angle.

To find the measure of ∠U in ΔUVW, we can use trigonometry. We know that sin(∠U) = opposite/hypotenuse, which is equal to UW/VW. Therefore, we can plug in the given values and solve for sin(∠U)

sin(∠U) = UW/VW = 2.2/4.7 = 0.4681

Next, we can use the inverse sine function (sin⁻¹) to find the measure of ∠U

∠U = sin⁻¹(0.4681) = 28.34 degrees (rounded to the nearest degree)

Therefore, the measure of ∠U in ΔUVW is approximately 28 degrees.

To know more about Triangle:

https://brainly.com/question/19976619

#SPJ4

Stephen has a counter that is orange on one side and brown on the other. The counter is shown below: A circular counter is shown. The top surface of the counter is shaded in a lighter shade of gray and Orange is written across this section. The bottom section of the counter is shaded in darker shade of gray and Brown is written across it. Stephen flips this counter 24 times. What is the probability that the 25th flip will result in the counter landing on orange side up? fraction 24 over 25 fraction 1 over 24 fraction 1 over 4 fraction 1 over 2

Answers

The probability that the 25th flip will result in the counter landing on orange side up is fraction 1 over 2. The correct answer is D.

The probability of an event occurring is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. In this case, Stephen has flipped the counter 24 times and he wants to know the probability of getting an orange side up on the 25th flip.

Since the counter has two sides - orange and brown, the probability of landing on the orange side is 1/2 or 0.5.

Each flip of the counter is independent of the others, so the previous flips do not affect the outcome of the 25th flip. Therefore, the probability of the 25th flip landing on the orange side up is still 1/2 or 0.5. The correct answer is D.

Learn more about probability at https://brainly.com/question/9870709

#SPJ11

In ΔVWX, w = 600 cm, mm∠V=26° and mm∠W=80°. Find the length of v, to the nearest 10th of a centimeter.

Answers

According to the given information in the question to find the length of side v in triangle VWX, we can use the Law of Sines. the length of side v is approximately [tex]281.8[/tex] cm.

What do mathematicians mean by centimetres?

image for "define centimeters in high-level mathematics." A centimeter is a metric unit used to quantify small distances and the object's length. Cm is used to represent it in writing.

It can also be described as the measure of length in the current metric system, referred to as the International System of Units (SI). It is equal to one-hundredth of a meter.

which states that:

[tex]a/sin(A) = b/sin(B) = c/sin(C)[/tex]

where a, b, and c are the lengths of the sides of the triangle, and A, B, and C are the opposite angles.

In this case, we know the length of side w (600 cm), and the measures of angles V and W.

To find the length of side v, we can use the Law of Sines with sides v and w and angle V:

[tex]v/sin(V) = w/sin(W)[/tex]

[tex]v/sin(26^\circ) = 600/sin(80^\circ)[/tex]

[tex]v = (600 \times sin(26^\circ))/sin(80^\circ)[/tex]

[tex]v \approx 281.8 cm[/tex] (rounded to the nearest 10th of a centimeter)

Therefore, the length of side v is approximately [tex]281.8 cm[/tex].

Learn more about centimetres here:

https://brainly.com/question/23366076

#SPJ1

Mary creates a stack of 10 of piece am and a stack of 8 of piece N. Both stacks have equal volumes. Create an equation relating h and k

Answers

Let's assume that the pieces am and N have heights of h_am and h_N respectively, and let k be the number of times the height of piece N fits into the height of piece am (i.e., k is the ratio of the height of piece am to the height of piece N).

We know that the volume of each stack is equal. Let's use the following variables:
- h for the height of each piece of A
- k for the height of each piece of N
- 10 for the number of pieces in stack A
- 8 for the number of pieces in stack N

The equation for the volume of each stack is:
Volume of stack A = h x 10
Volume of stack N = k x 8

Since we know the volumes are equal, we can set the two equations equal to each other:
h x 10 = k x 8

To create an equation relating h and k, we can solve for one variable in terms of the other:
h = (8/10)k
or
k = (10/8)h

Either equation shows how h and k are related to each other. For example, if we know the value of h, we can use the first equation to find k.

Learn more about equation at https://brainly.com/question/26170143

#SPJ11

Which statement is true about the streets? Select all that apply. A. First Street intersects with Second Street and Third Street. B. Second Street is perpendicular to Third Street. C. First Street and Third Street are parallel. D. Second Street and Third Street are parallel. E. First Street is perpendicular to Second Street and Third Street. 6 /

Answers

The correct options are: A and D

Streets 2 and 3 are parallel and Street 1 is intersecting it

What is a Parallel Line and Intersections?

Parallel lines are two or more straight lines that continue indefinitely without ever crossing each other, despite their extended lengths. They have an equal inclination and remain the same distance apart at all times. Consequently, intersections will never occur between them.  

On the contrary, if non-parallel lines exist, they intersect to create one point, famously known as the 'point of intersection'. This specific point supplies the solution to the system of equations formed by the two lines.

Hence, we can see from the given image that Streets 2 and 3 are parallel and Street 1 is intersecting it


Read more about parallel lines here:

https://brainly.com/question/16742265

#SPJ1

Find all solutions of the equation in the interval [0, 2π). Show formula and steps used, not a calculator problem. (8 csc x - 16)(4 cos x - 4) = 0

Answers

The solutions for the equation in the interval [0, 2π) are x = 0, x = π/6, and x = 5π/6.

To find all solutions of the equation (8 csc x - 16)(4 cos x - 4) = 0 in the interval [0, 2π), we can set each factor equal to zero and solve for x separately.

1) 8 csc x - 16 = 0
8 csc x = 16
csc x = 2

Recall that csc x = 1/sin x, so:

1/sin x = 2
sin x = 1/2

In the interval [0, 2π), sin x = 1/2 at x = π/6 and x = 5π/6. So, the solutions for this part are x = π/6 and x = 5π/6.

2) 4 cos x - 4 = 0
4 cos x = 4
cos x = 1

In the interval [0, 2π), cos x = 1 at x = 0 and x = 2π. However, since 2π is not included in the interval, we only have x = 0 as a solution for this part.

Combining both parts, the solutions for the equation in the interval [0, 2π) are x = 0, x = π/6, and x = 5π/6.

To learn more about interval, refer below:

https://brainly.com/question/13708942

#SPJ11

Please hurry I need it ASAP

Answers

Answer: d=2√13  

Step-by-step explanation:

You need to use the distance formula or pythagorean.  Pythagorean is simpler. Let's use that.

c²=a²+b²

c= distance

a = how far point went in x direction =4

b=how far went in y direction =6

plug in:

d²=4²+6²

d²=16+36

d²=52                     take square root of both sides

d=√52                    

d=√(4*13                4 and 13 are factors of 52

d=2√13                   take square root of 4

Lindsey wears a different outfit every day. Her outfit consists of one top, one bottom, and one scarf.
How many different outfits can Lindsey put together if she has 3 tops, 3 bottoms, and 3 scarves from which to choose? (hint: the
counting principle)
A)3 outfits
B )9 outfits
C)24 outfits
D )27 outfits

Answers

Lindsey can put together 27 different outfits if she has 3 tops, 3 bottoms, and 3 scarves to choose from. The answer is (D) 27 outfits.

How to determine How many different outfits can Lindsey put together

To find the number of different outfits that Lindsey can put together, we need to use the counting principle, which states that if there are m ways to do one thing and n ways to do another thing, then there are m x n ways to do both things together.

In this case, there are 3 ways for Lindsey to choose a top, 3 ways to choose a bottom, and 3 ways to choose a scarf. To find the total number of outfits, we multiply these numbers together:

Total number of outfits = number of tops x number of bottoms x number of scarves

Total number of outfits = 3 x 3 x 3

Total number of outfits = 27

Therefore, Lindsey can put together 27 different outfits if she has 3 tops, 3 bottoms, and 3 scarves to choose from. The answer is (D) 27 outfits.

Learn more about word problems at https://brainly.com/question/21405634

#SPJ1

Clayton leased an SUV for his business. The lease cost $421.38 per month for 48 months. He paid a $2,500 deposit, an $85 title fee, and a $235 license fee. Find the total lease cost.

Answers

The total lease cost for Clayton's SUV is $23,056.24.

To solve this problem

Before any additional fees or deposits, the total lease cost is $421.38 per month for 48 months, which equals:

Total cost of the lease  = $421.38/month x 48 months = $20,236.24

Clayton also paid a $2,500 down payment, a $85 title charge, and a $235 license cost in addition to the monthly lease payments.

The entire cost of the lease is $20,236.24 + $2,500 + $85 + $235 = $23,056.24 in total.

Therefore, the total lease cost for Clayton's SUV is $23,056.24.

Learn more about multiply here : brainly.com/question/28773316

#SPJ1



describe the likelihood of the next elk caught being unmarked

Answers

The probability of the next elk caught being unmarked is 0.96 when the total number of elks is 5625 and the number of elks marked is 225.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Total number of elks = 5625

Number of elks marked = 225

We need to find the total number of elks not marked or  unmarked we can find it by,

= 5625 - 225

= 5500

Therefore, the total number of elks unmarked is 5500.

We can determine determined the likelihood of the next elk caught being unmarked by using probability. The probability is given by:

P = 5500/5625

= 44 / 45

= 0.96

Therefore, The total number of elks unmarked is 0.96.

To learn more about probability:

https://brainly.com/question/30390037

#SPJ4

The complete question is,

Describe the likelihood of the next elk caught being unmarked.

tomas earns 0.5% commision on the sale price of a new car. On wednesday, he sells a new car for $24,500. How much commison does tomas earn on this sale

Answers

Tomas earns a commission of $122.50 on the sale of the new car.

Tomas earns a 0.5% commission on the sale price of a new car. On Wednesday, he sells a new car for $24,500. To determine the commission Tomas earns, we need to multiply the sale price by the commission rate. The commission rate is given as 0.5%, which can be expressed as a decimal by dividing by 100. So, 0.5% is equal to 0.005 as a decimal.

Now, we can calculate Tomas's commission by multiplying the sale price by the commission rate. In this case, we multiply $24,500 by 0.005:

$24,500 x 0.005 = $122.50

To know more about commission, refer to the link below:

https://brainly.com/question/29636558#

#SPJ11

A publisher reports that 30% of their readers own a laptop. a marketing executive wants to test the claim that the percentage is actually different from the reported percentage. a random sample of 130 found that 20% of the readers owned a laptop. find the value of the test statistic. round your answer to two decimal places.

Answers

The value of the test statistic is approximately -2.49

To find the value of the test statistic for the marketing executive's claim that the percentage of laptop owners is different from the reported 30%, we will use the following formula for a proportion hypothesis test:

[tex]Test Statistic (Z) =\frac{ (Sample Proportion - Hypothesized Proportion)}{Standard Error}[/tex]


Here are the given values:
- Hypothesized proportion (p) = 0.30
- Sample size (n) = 130
- Sample proportion (p-hat) = 0.20

First, we need to calculate the standard error (SE) using this formula:
[tex]SE+\frac{\sqrt{p(1-p)} }{n}[/tex]
[tex]SE+\frac{\sqrt{0.30(1-0.30)} }{130}[/tex]
[tex]SE=\sqrt{\frac{0.21}{130} }[/tex]
[tex]SE=\sqrt{0.0016153846}[/tex]
[tex]SE = 0.04019[/tex]

Now, we can calculate the test statistic (Z) using the given formula:
[tex]Z=\frac{ (0.20 - 0.30)}{0.04019}[/tex]
[tex]Z=\frac{-0.10}{ 0.04019}[/tex]
[tex]Z = -2.49[/tex]

So, the value of the test statistic is approximately -2.49, rounded to two decimal places.

To know more about "Standard error" refer here:

https://brainly.com/question/30667112#

#SPJ11

The slant height if the cone is 13 cm. What is the volume of a cone having a radius of 5 cm and a slant height of 13 cm.

Answers

The formula for the volume of a cone is:

V = (1/3)πr^2h

where r is the radius of the base of the cone and h is the height of the cone.

We are given that the radius of the cone is 5 cm and the slant height is 13 cm. We can use the Pythagorean theorem to find the height of the cone:

h^2 = l^2 - r^2

where l is the slant height of the cone. Substituting the given values, we get:

h^2 = 13^2 - 5^2

h^2 = 144

h = 12

Now we can substitute the values of r and h into the formula for the volume of the cone:

V = (1/3)πr^2h

V = (1/3)π(5^2)(12)

V = (1/3)π(25)(12)

V = (1/3)π(300)

V = 100π

Therefore, the volume of the cone is 100π cubic centimeters.

Quadratic function for (1,-3) in vertex form

Answers

The quadratic function in vertex form that passes through the point (1, -3) is: f(x) = (x - 1)²  - 3

What is vertex form?

Vertex form is a way of expressing a quadratic function of the form:

f(x) = a(x - h)² + k

where (h, k) is the vertex of the parabola, and a is a constant that determines the shape and direction of the parabola.

The quadratic function in vertex form is given by:

f(x) = a(x - h)²  + k

where (h, k) is the vertex of the parabola.

We are given the point (1, -3), which lies on the parabola. This means that:

f(1) = -3

Substituting x = 1 into the vertex form of the equation, we get:

f(1) = a(1 - h)²  + k

-3 = a(1 - h)²  + k

Since we don't know the value of h or a, we can't solve for k directly. However, we can use the vertex form of the equation to find the values of h and k.

The vertex of the parabola is the point (h, k). Since the parabola passes through the point (1, -3), we know that the vertex lies on the axis of symmetry, which is the vertical line x = 1.

Therefore, the x-coordinate of the vertex is h = 1. Substituting this into the equation above, we get:

-3 = a(1 - 1)²  + k

-3 = a(0) + k

k = -3

Now that we know the value of k, we can substitute it back into the equation above and solve for a:

-3 = a(1 - h)²  + k

-3 = a(1 - 1)²  + (-3)

-3 = a(0) - 3

a = 1

Therefore, the quadratic function in vertex form that passes through the point (1, -3) is:

f(x) = (x - 1)²  - 3

To learn more about vertex form visit the link:

https://brainly.com/question/30339547

#SPJ9

A parallelogram has an area of


25. 2



c


m


2


25. 2 cm


2


and a height of


4



c


m


4 cm. Use paper to write an equation that relates the height, base, and area of the parallelogram. Solve the equation to find the length of the base then what is the length of the base? (Can someone help me out please)

Answers

If the parallelogram has an area of 25.2 cm² and the height is 4 cm, the length of the base is 6.3 cm.

To start, we know that the area of a parallelogram is given by the formula:

A = bh

where A is the area, b is the length of the base, and h is the height. We also know that the area of the parallelogram in this case is 25.2 cm² and the height is 4 cm.

Substituting these values into the formula, we get:

25.2 = b(4)

To solve for b, we can divide both sides by 4:

b = 25.2/4

b = 6.3

So the length of the base is 6.3 cm.

More on parallelogram: https://brainly.com/question/17092823

#SPJ11

Emma is making a scale drawing of her farm using the scale 1 centimeter to 2. 5 feet. In the drawing, she drew a well with a diameter of 0. 5 ccentimeter. Which is the closest to the actual circumference of the well?

Answers

The circumference of the well is 3.93 ft.

Given, Emma is making a scale drawing of her farm using the scale 1 cm=2.5 ft

Diameter of the well she drew = 0.5 cm

We need to convert the diameter of the well from centimeters to feet, using the given scale.

i.e. 0.5cm = 2.5/2 = 1.25 ft

We know the radius is half of the diameter.

So, r = 1.25/2 = 0.625

We know that the formula for the circumference of a circle is C = 2πr

C = 2*3.14*0.625

= 3.93 ft

Hence, the circumference of the well is 3.93 ft.

Learn more about circumference of circle here

https://brainly.com/question/9647202

#SPJ4

Other Questions
A 50. 0-kg box is being pulled along a horizontal surface by means of a rope that exerts a force of 250 n at an angle of 32. 0 above the horizontal. The coefficient of kinetic friction between the box and the surface is 0. 350. What is the acceleration of the box?. Explain how environmental changes can improve the quality of life for the people of London. (6 marks)Need answering this is due in 1 hour need answering asap In a survey, 54.5% of respondents have portable earbuds and 30% of the respondents who have portable earbuds also have a smart speaker. What is the probability that a respondent has both portable earbuds and a smart speaker? If necessary, round to the nearest hundredth of a percent. how did motley's artwork affect smith?it is making him think about a career as an art curator at the museum of fine arts.it helped him recognize the breadth of black culture in the united states.it inspired him to work on his own art as a way to express himself to others.it helped him discover other artists whose work could be displayed in "black histories, blackfutures." 3/4+(1/3 divided by 1/6) - (-1/2) one reason for unemployment is that: a. it takes time to match workers and jobs. b. all jobs are identical. c. the labor market is always in equilibrium. d. a laid-off worker can immediately find a new job at the market wage. 1) What economic values does the rainforest offer other than its worth as timber?2) Based on this talk, why are people failing to preserve such assets as the rainforest?3) How are forests comparable to other forms of natural resources?4) How does Pavan believe we should think about the value of a mangrove tree?5) What are some potential solutions to the problems Pavan identifies? Question 20 of 20Two numbers have a sum of 2 and a difference of 8. Write a system and solve it to identify the two numbers.5 and 3O 11 and -9-5 and 7O5 and-3 7. The most important part of the letter is B. Date A. The heading 8. Telephonic conversation is a C. Post script D. Body of the letter Creative Writing!!!Answer: B (A journal is a place to record anything that could inspire your writing.)Cyril wants to include in his journal quotes from his favorite writers, but his friend Maxim is saying that a journal is onlymeant to hold your personal thoughts. Why is Maxim wrong?Quotes can be included if they are from writers or about writing.A journal is a place to record anything that could inspire your writing.A journal can include quotes if they are directly related to personal thoughts.Maxim is not wrong-a journal can contain only original writing. There is a limit of 15 slides that PowerPoint will allow you to have for any presentation:O TrueO False Alice and bob wish to securely communicate (ensure confidentiality) using the public key (asymmetric key) system. what's the minimum number of keys they would need added together (i.e. total number of keys needed for alice and bob combined) One combine harvester can cut a 2450 square meters field in 5 hours. Another combines harvester can do the same job in 7 hours. What area can the two combines cut in 9 hours? A woman bought 130kg of tomatoes for 52. 0. She sold half of them at a profit of 30%. The rest of the tomatoes started to go bad. She then reduced the selling price per kg by 12%. Calculatei. The new selling price per kgii. The percentage profit on the whole transaction if she threw away 5kg of bad tomatoes Briefly describe how landform butte will change into landform Pointed butte Assume that a hypothetical economy with an MPC of 0. 8 is experiencing a severe recession. Instructions: In part a, round your answers to 1 decimal place. Enter your answers as a positive number. In part b, enter your answers as a whole number. A. By how much would government spending have to rise to shift the aggregate demand curve rightward by $50 billion Mrs. Dominguez has $9,400 to deposit into two different investment accounts. Mrs. Dominguez will deposit $3,500 into Account I, which earns 6. 5% annual simple interest She will deposit $5,900 into Account II, which earns 6% interest compounded annually. Mrs. Dominguez will not make any additional deposits or withdrawals. What is the total balance of these two accounts at the end of ten years? DE 10 PJ conducts an experimental study on the effects of soft music during high stakes science testing. He randomly assigns students at the school. In one condition he does not provide music for testing while in the other group he does provide the music. He administers a pretest at the beginning of the year and a posttest at the end of the year. PJ's design is best described as a: Complete the statements by selecting the correct answer from each-down menu. Carl's transactions for a year are given in the table. His broker charged him $5 per trade. How much does Carl pay his broker? Assistance needed pls and thanks