Answer:
2k^2+12
Step-by-step explanation:
remove parentheses, simplify calculate
A rectangular garden is 5ft longer than it is wide. It’s area is 6800ft2. What are its dimensions
Answer:
Width = 80 ft and length = 85 ft.
Step-by-step explanation:
Let the width be x ft then the length is x+5 ft.
width * length = area, so
x * (x + 5) = 6800
x^2 + 5x - 6800 = 0
( x - 80)(x + 85) = 0
x = 80, -85
We ignore the negative so x = 80 ft.
Width = 80 and length = 80+5 = 85 ft.
Factor the GCF 7x^2+21x-35
Answer:
(7)(x² + 3x - 5)
Step-by-step explanation:
To Find the GCF : Prime factorize each term
7x² = 7 × x²21x = 7 × 3 × x-35 = 7 x -5As seen above, we can conclude the GCF is 7.
Therefore, by factoring using the GCF :
(7)(x² + 3x - 5)Has SETI detected any radio signals from extra-terrestrials?
A. No, they do not have proof radio signals can travel through space yet.
B. Yes, coming from the Andromeda galaxy.
C. Not yet, only interference signals from Jupiter.
D. Yes, coming from a nearby star, Alpha Centauri.
Answer:
C
Step-by-step explanation:
There are all types of radio signals traveling around us, just not the extra-terrestrial type!
The figure below shows a rectangular lawn. 23ft 14ft (a) Use the calculator to find the perimeter and area of the lawn. Make sure to include the correct units. Perimeter: Area: (b) The lawn will be mowed. Which measure would be used in finding how long it will take? Perimeter Area (c) The lawn will be surrounded by a rope. Which measure would be used in finding how much rope to buy? Perimeter Area
The area and perimeter of the lawn will be 322 square feet and 74 feet. If the lawn will be mowed. Then the area will be used. If the lawn will be surrounded by a rope. Then the perimeter will be used.
What is a rectangle?It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.
The figure below shows a rectangular lawn.
Then the area of the rectangle will be
Area = 23 × 14
Area = 322 square feet
Then the perimeter of the rectangle will be
Perimeter = 2 (23 + 14)
Perimeter = 2 × 37
Perimeter = 74 feet
If the lawn will be mowed. Then the area will be used.
If the lawn will be surrounded by a rope. Then the perimeter will be used.
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Which expression represents the perimeter, in units, of this trapezoid? (45 points)
Answer:
A. 7x + 3
Step-by-step explanation:
The perimeter of a 2D shape is the distance all the way around the outside.
⇒ perimeter = (2x + 1) + (x + 1) + (3x - 1) + (x + 2)
= 2x + 1 + x + 1 + 3x - 1 + x + 2
= 2x + x + 3x + x + 1 + 1 - 1 + 2
= 7x + 3
Your company obtains a score of 105 out of 115 on a customer satisfaction
survey. What was the percentage score obtained on the survey by the company?
(1) 94,25%;
(2) 109,52%;
(3) 91,30%;
(4) 95,24%.
Answer:
(3)
Step-by-step explanation:
Simply divide 105/115
Answer:
(3) 91.30%
Step-by-step explanation:
[tex]\sf Percentage=\left(\dfrac{Value}{Total\:value}\right) \times 100[/tex]
[tex]\begin{aligned}\implies \sf Percentage\:score & = \sf \left(\dfrac{105}{115}\right) \times 100\\& = \sf 0.91304347...\times 100\\& = \sf 91.30\%\:(nearest\:hundredth)\end{aligned}[/tex]
The volume of a cone is 735 pi cubic millimeters and the height is 5 millimeters. What is the radius of the cone.
Answer:
7 mm
Step-by-step explanation:
735pi=1/3*5*pi*r^2
735pi/1/3pi
147=5*r^2
49=r
If you have any questions please comment them!
Find the volume. Show work!!
Step-by-step explanation:
this is a combined object :
there is the basic block at the bottom (21×21×17), and there is a pyramid on top of it.
so, we need to calculate the volume of both parts and add them for the total volume.
the volume of the block is, as mentioned :
21 × 21 × 17 (length×width×height) = 7,497 ft³
the volume of a pyramid is
length×width×height/3
which is in our case
21 × 21 × 9 / 3 = 21 × 21 × 3 = 1,323 ft³
so, the total volume is
7,497 + 1,323 = 8,820 ft³
After four years of higher education, Danielle just graduated with a Bachelor's degree in Legal Studies from Georgetown where the annual cost of tuition was $26,000. She paid for college by earning $12,000 annually through the work study program and receiving an annual scholarship. She covered the remainder of the costs by taking out $0 in student loans. If she didn't fund her education with savings or grant money, what was the amount of Danielle's annual academic scholarship?
The amount of Danielle's annual scholarship is $14,000.
What is the value of the annual scholarship?
Subtraction is an arithmetic operation that is used to determine the difference between two or more numbers. The sign used to represent subtraction is -.
annual scholarship = annual tuition - annual earning
$26,000 - $12,000 = $14,000
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i need help with a math problem
Answer:
52 square meters
Step-by-step explanation:
» Concepts
The surface area of a rectangular prism is the area of all the faces on it. The formula to find the TSA (total surface area) is 2(wl + hl + hw), where w = width, l = length, and h = height.
» Application
We're given the length as 4m, the width as 3m, and the height as 2m. Now, we just have to apply these values into our formula!
» Solution
[tex]2(3*4+2*4+2*3)[/tex] [tex]2(12+8+6)[/tex] [tex]2(26)[/tex] [tex]52[/tex]Label the scatterplot correctly
Yesterday, Brad's Snack Shack went through 1 1/2 bottles of ketchup. If they used 1/2 as much mustard as ketchup, how many bottles of mustard did they go through? Write your answer as a fraction or as a whole or mixed number. bottles Submit
1 1/2 = 1.5
1/2 as much as 1.5 is .75 or 3/4 of a bottle of mustard.
Brad's Snack Shack used 3/4 of a bottle of mustard yesterday.
Hope this helps <3
Probability Math Question
Help would be appreciated:))
Answer:
Hi, your answer here would be based on reading this graph. For question a, there are a total of 12 people who like vanilla with sprinkles, which means that it is 12 out of 24 or 1/2 or 0.5 or 50 percent.
For b) there is a total of 9 for chocolate, so the probability is 9 out of 24 or 37.5 percent or 3/8 or 0.375
For c) there are a total of 6 with no sprinkles out of 24 so it is 1/4 or 0.25 or 25 percent.
Step-by-step explanation:
Please mark me as brainliest :)
The solution set for the equation of a circle is all the_____ on the circle.
what is the greatest common factor of 25,65 and 100
Answer:
5
Step-by-step explanation:
List out the factors of each number (25,65,100) and get the largest common number which is 5 in this case.
Answer:
Five
Step-by-step explanation:
Prime factorize the three of them to find the answer
25 = 5 x 5
65 = 5 x 13
100 = 5 x 5 x 2 x 2
A pot has3/10pound of soil. Rex adds some soil. Now it
has 9/10pound. How many pounds of soil did Rex add
PLEASE HELP
Write an equation for the function graphed above.
The equation of the graphed function is [tex]y = 3\sec(\frac{\pi}{3}x) + 2[/tex]
How to determine the equation of the graph?The graph is a secant graph, and it has the following form
[tex]y = a\sec(bx) + c[/tex]
From the graph, we have the following parameters:
The amplitude (a) is calculated using:
a = 0.5 *(Local minimum - Local maximum)
a = 0.5 *(5 + 1) = 3
The vertical shift (c) is calculated using:
a = 0.5 *(Local minimum + Local maximum)
a = 0.5 *(5 - 1) = 2
The period (b) is calculated using:
[tex]b = \frac{2\pi}{T}[/tex]
This gives
[tex]b = \frac{2\pi}{6}[/tex]
Evaluate
[tex]b = \frac{\pi}{3}[/tex]
Substitute the values of a, b and c in [tex]y = a\sec(bx) + c[/tex]
[tex]y = 3\sec(\frac{\pi}{3}x) + 2[/tex]
Hence, the equation of the graphed function is [tex]y = 3\sec(\frac{\pi}{3}x) + 2[/tex]
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what expression is equivalent to -7(y-2)
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Here we go ~
[tex] \sf - 7(y - 2)[/tex][tex] \sf - (7 \cdot y) -(7 \cdot 2)[/tex][tex] \sf - 7 y-( - 14)[/tex][tex] \sf - 7 y + 14[/tex]The equivalent expression will be ~
[tex] \boxed{ \sf - 7y + 14 \: \: }[/tex]
How is a change in the circumference of a circle related to the diameter of a circle
Answer:
let's use c as circumference, d for diameter
lets say c increases, d is related to c, d will also increase
if c decreases, d will too.
Let's put in this way.
Pretend you're at a store,
The more you spend, the more points you get in their loyalty program
C is going to be the amount you spend
D will be how many points you get
Spend more, more points
spend less, less points
P.S
C is the independent variable, D is the dependent variable. (I think that's the right way, if not ignore the postscript aka P.S)
Plsss I need it urgently!!!
Answer:
x = 7
y = 37
Step-by-step explanation:
congruent triangle LMN == PQR
Angle NLM = Angle RPQ
3x + 24 = 7x - 4
28 = 4x
x = 7
Angle LNM = Angle PRQ
2x + y = 180 - 84 - (7x - 4)
14 + y = 96 - (49 - 4)
14 + y = 51
y = 37
check answer
Angle LNM = 14 + 37 = 51
Angle NLM = 21 + 24 = 45
Angle LMN = 84
3 angles get a sum of 180
An art museum has 20 large cylindrical columns in its lobby. Each column has a height of 22 feet from
the floor to the ceiling and a diameter of 2.5 feet. If a gallon of paint covers 350 square feet, how
many gallons of paint must be purchased to paint the lateral surface area of all of the columns?
A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The amount of paint needed to paint 20 pillars is 9.874 gallons.
What is a cylinder?A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centers overlap each other to form a right cylinder.
The curved surface area of a single-cylinder with a diameter of 2.5 feet and a height of 22 feet will be,
Curved surface area = πDh = π × 2.5 × 22 = 172.7875 ft²
The total area of 20 pillar = 20 × 172.7875 ft² = 3,455.75191 ft²
Since a gallon of paint can cover only 350 ft², therefore, the amount of paint that will be needed to paint 3,455.75191 ft² can be written as,
[tex]\text{Amount of paint needed} = \dfrac{3,455.75191\rm\ ft^2}{350\rm\ ft^2} = 9.874\rm\ gallons[/tex]
Hence, the amount of paint needed to paint 20 pillars is 9.874 gallons.
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A small motorboat travels 8mph in still water. It takes 3 hours longer to travel 44 miles going upstream than it does going downstream. Find the rate of the current. (Hint: 8+x= rate going downstream and 8−x= rate going upstream.)(Round your answer to the nearest tenth.)
The rate of the current is 2.03 mph if the small motorboat travels 8mph in still water. It takes 3 hours longer to travel 44 miles going upstream than it does going downstream.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
Let's suppose the rate of the current = r
The time it takes to go downstream + 4 hours = time to go upstream
As we know the:
[tex]\rm Time = \dfrac{Distance}{ Rate }[/tex]
Now,
[tex]\rm \dfrac{44}{ (8 + r)} + 3 = \dfrac{44}{ (8 - r)}[/tex]
After solving:
[tex]\rm \dfrac{44}{ (8 - r)}-\dfrac{44}{ (8 + r)} =3[/tex]
After cross multiplication
44(8+r) - 44(8-r) = 3(8+r)(8-r)
88r = 3(64 - r²)
3r² + 88r - 192 = 0
After solving the above quadratic equation, we get:
r = 2.03 or
r=−31.37 (reject as it is negative)
So, the r =2.03 mph
Thus, the rate of the current is 2.03 mph if the small motorboat travels 8mph in still water. It takes 3 hours longer to travel 44 miles going upstream than it does going downstream.
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A box contains several of Mrs. Spencer's new pamphlets. The box weighs 2,000 grams. This chart shows the effect of
adding a pamphlet
Pamphlets Added to the box (x) Effect on the Box's Weight, in grams (1)
0
0
1
6
2
12
3
18
Which statement is true about a proportional relationship such as the one illustrated in this table?
o As the value of x decreases. Increases.
As the value of x increases, y increases
The unit rate that describes the relationship of y to x is 3.
Weight is the independent variable, and the number of pamphlets is the dependent variable
Answer: 20,042
Step-by-step explanation: addion
Is the sequence 2, 4, 8, 16, ... arithmetic? If so, find the common difference.
Answer:
First of all it's a geometric sequence and it is multiplying 2 every time
Step-by-step explanation:
2*2=4
4*2=8
8*2=16
Arun is caring for many yellow-spotted salamanders. He weighs each and
then counts the number of yellow spots on its back. Which trend line best fita
the data?
Answer:
The answer is B.
Step-by-step explanation:
Looking at the option, a trend line best fits the data within the plot. Seeing Answer B has the line that goes through the plot.
Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of 3000
(pie symbol) in3
. One day, her
3
sink clogged. She has to use one of two conical cups to scoop the water out of the sink. The sink is
completely full when Carissa begins scooping.
(a) One cup has a diameter of 5 in. and a height of 6 in. How many cups of water must Carissa scoop out
of the sink with this cup to empty it? Round the number of scoops to the nearest whole number.
Show all your work.
(b) One cup has a diameter of 6 in. and a height of 6 in. How many cups of water must she scoop out of
the sink with this cup to empty it? Round the number of scoops to the nearest whole number.
WORTH 20 POINTS
Answer:
a) 80
b) 56
Step-by-step explanation:
a) Calculate the volume of the the cup using volume of cylinder equation: [tex]V = \pi r^{2} h[/tex]
Where V = Volume, r=radius, and h=height. Your answer should be in cubic inches ([tex]in^3[/tex]).
You're given diameter, so use equation [tex]d/2 = r[/tex] to find radius.
Substituting these equations will give you: [tex]V = \pi (d/2)^2 h[/tex]
However, the given volume of the sink is 3000[tex]\pi[/tex], meaning that you should modify your results to match this value. Do not substitute [tex]\pi[/tex] for 3.14..., leave it as a symbolic value. Your final V of the cup should = 37.5 [tex]\pi[/tex]
Divide the volume of the sink by the volume of the cup. This number will be the amount of cups needed to empty it. In equation form:
[tex]Vsink / V cup =[/tex] # of cups.
Note the the [tex]\pi[/tex] will cancel each other out, so there's not need to factor that in.
b) Repeat the steps above with the new d (diameter) value.
only answer if you know!! no spams
Answer:
The answers would be D and C.
Hope this helps!
(21*3+8)-17+(85-12+9-45)
Answer:
91
Step-by-step explanation:
(21)(3)+8−17+85−12+9−45
=63+8−17+85−12+9−45
=71−17+85−12+9−45
=54+85−12+9−45
=54+73+9−45
=54+82−45
=54+37
=91
. A parcel delivery service lowered its A parcel delivery service lowered its prices and finds that it has delivered twice as many parcels this year as it did last year. To illustrate this fact, the manager draws a graph as shown below. The side length of the "parcel" on the right is twice the side length of the "parcel" on the left. Is this graph misleading? Yes, the cube on the right is more than twice as large as the cube on the left. No, the parcels sold can fit into the cubes displayed. Yes, cubes can never be used fairly to depict data. No, the proportions of the two cubes are accurate.prices and finds that it has delivered twice as many parcels this year as it did last year. To illustrate this fact, the manager draws a graph as shown below. The side length of the "parcel" on the right is twice the side length of the "parcel" on the left. Is this graph misleading? Yes, the cube on the right is more than twice as large as the cube on the left. No, the parcels sold can fit into the cubes displayed. Yes, cubes can never be used fairly to depict data. No, the proportions of the two cubes are accurate.
Answer:
Yes, the cube on the right is more than twice as the cube on the left.
Please calculate the size of Č please.
Edit: It seems you want to find the measure of the angle at vertex C.
Consider two vectors x and y, the first of which begins at vertex C and ends at B, and the other begins at C and ends at A. We want to find the angle between x and y. If γ (gamma) is the measure of this angle, then
x • y = ||x|| ||y|| cos(γ)
Translating these vectors so that they start at the origin O, we get
C to B : x = (-2, 2) - (6, -2) = (-8, 4)
C to A : y = (6, 4) - (6, -2) = (0, 6)
Compute the dot product of x and y :
x • y = (-8, 4) • (0, 6) = 24
Compute their magnitudes:
||x|| = √((-8)² + 4²) = 4√5
||y|| = √(0² + 6²) = 6
Solve for γ :
cos(γ) = (x • y) / (||x|| ||y||)
cos(γ) = 24/(24√5)
cos(γ) = 1/√5
γ = arccos(1/√5) ≈ 63.4349°