Answers
Answer:
341.8801
Step-by-step explanation:
Related Questions
Which table of ordered pairs represents a proportional relationship?
Answers
Answer:
The second table
Step-by-step explanation:
A proportional relationship is a relationship in which the ratio of two variables is equivalent.
2:10, 4:20, and 6:30 are all equivalent ratios that can all be simplified and written as 1:5, thus the second table is the correct answer
A group of fitness club members lose a combined total of 28 kilograms in 1 week. There are approximately 2.2 pounds in 1 kilogram. Assuming the weight loss happened at a constant rate, about how many pounds did the group lose each day?
Answers
Answer:8.8 pounds a day
Step-by-step explanation:
7 days in a week
28/7=4 kg a day
2.2*4=8.8
8.8 pounds
Match each expression with its value 2,-9,-1, or undefined
G(-0.0001)
G(0)
G(0.0001)
G(9)
Answers
By looking at the graph of the piecewise function, we can see that:
G(-0.001) = -9G(0) = -1G(0.0001) = -1G(9) is not defined.How to evaluate the piecewise function?
On the graph, we have a piecewise function, which we want to evaluate in some different values.
First we have x = -0.0001
This value belongs to the interval (-5, 0), and by looking at the graph, you can see that the function on that interval is equal to -9, then:
G(-0.0001) = -9
x = 0
x = 0 belongs to the interval [0, 9). On that interval the function values -1. (x = 0 belongs to that interval because we have a closed dot). Then we conclude
G(0) = -1
x = 0.0001
This value also belongs to the interval [0, 9)
Then G(0.0001) = -1
Finally, x = 9.
If you look at the domain of the function, you can see that there is an open dot at x = 9.
This means that x = 9 does not belong to that domain, so:
G(9) is not defined.
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2x²-5x-12=0 (simplify solution set)
Answers
Answer:
x = 4 or x = -3/2
Step-by-step explanation:
To simplify and solve this, let's use the quadratic formula.
So the format of a quadratic equation is supposed look like this:
[tex]ax^2+bx+c=0[/tex]
Let's find a, b, c:
a is the coefficient of x^2b is the coefficient of xc is the constant termNow let's solve the equation.
Let's solve your equation step-by-step.
2x^2−5x−12=0
For this equation: a=2, b=-5, c=-12
2x^2+−5x+−12=0
Step 1: Use quadratic formula with a=2, b=-5, c=-12.
[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
[tex]x=\frac{-(-5)\pm\sqrt{(-5)^2-4(2)(-12)} }{2(2)}[/tex]
[tex]x=\frac{5\pm\sqrt{121} }{4}[/tex]
[tex]x=4[/tex] or [tex]x=\frac{-3}{2}[/tex]
Answer:
x = 4 or x = -3/2
What is the scale factor of a drawing if the scale is 1 inch equals 4 feet
Answers
Answer:
the scale factor of a drawing=1:4
find the surface area of the pyramid
Answers
Answer:
145
Step-by-step explanation:
mutiply each 6 and 7 twice and add 7x7 from the bottom
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
Answers
Answer:
c = 37 mi
Step-by-step explanation:
Pythagorean theorem:To find 'c' use Pythagorean theorem.
[tex]\sf \boxed{\bf hypotenuse^2 = base^2 + altitude^2}[/tex]
c² = 35² + 12²
=1225 + 144
= 1369
[tex]\sf c = \sqrt{1369}\\\\ c = \sqrt{37*37}\\\\ \boxed{\bf c = 37 \ mi}[/tex]
A bakery has a sale on cookies. If a customer buys a dozen cookies for $15, each additional single cookie is $0.75. What is an equation that shows how the total cost depends on the number of single cookies purchased? (Assume that the order starts with a dozen cookies.) How much would a dozen cookies plus six single cookies cost?
Answers
Answer:
T = 15 + 0.75c
T = $19.5
Step-by-step explanation:
Assume that T stands for total cost and c stands for number of single cookies purchased, the equation would be:
T = 15 + 0.75c
Therefore, a dozen cookies plus six single cookies would cost:
T = 15 + 0.75(6)
T = 15 + 4.5
T = $19.5
Which graph represent f of x equals square root of the quantity x plus 2 end quantity minus 3? The graph shows a curve with an end point at 2 comma 3 that increasing to the right The graph shows a curve with an end point at 3 comma 2 that increasing to the right The graph shows a curve with an end point at negative 3 comma negative 2 that increasing to the right The graph shows a curve with an end point at negative 2 comma negative 3 that increasing to the right
Answers
The graph of the function:
[tex]f(x) = \sqrt{x + 2} - 3[/tex]
Is the last graph (bottom graph of the second image).
Which graph represents the given function?
Here we have the function:
[tex]f(x) = \sqrt{x + 2} - 3[/tex]
Remember that the argument of a square root must be zero or larger, then the minimum of the domain is the value of x such that:
x + 2 = 0
x = -2
Then the function starts at:
[tex]f(-2) = \sqrt{-2 + 2} - 3 = -3[/tex]
Then the graph should start at (-3, 2).
We can also identify another point by evaluating in x = 2.
[tex]f(2) = \sqrt{2 + 2} - 3 =2 - 3 = -1[/tex]
So the function also passes through (2, - 1).
Notice that the only graph that contains these two points is the last graph (the bottom graph on the second image), so that is the correct option.
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Answer:
D
Step-by-step explanation:
did the test got it right
Please help!!!!
A triangular patch of grass in a park is bordered by walking paths. The longest path bordering the patch of grass measures 135 feet. The smallest path bordering the patch of grass measures 60 feet. The smallest angle formed by the paths measures 26°. What is the measure of the largest angle of the triangular patch of grass? Round your answer to the nearest degree. Show all your work.
Answers
The measure of the largest angle of the triangular patch of grass is 81 degrees
Application of sine ruleIn order to determine the measure of the largest angle, we will use the expression below;
[tex]\frac{60}{sin26^0} =\frac{135}{sinx^0}[/tex]
Cross multiply
135sin26 = 60sinx
sinx = 135sin26/60
sinx = 59.18/60
sinx = 0.986
x = 80.5 degrees
Hence the measure of the largest angle of the triangular patch of grass is 81 degrees
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An amusement park prices tickets at $55 and sells an average if 500 tickets daily. The management finds, over multiple increases in ticket pricing that a $2 increase in the price of a ticket leads to an average of 20 fewer tickets being sold in a day.
Management uses the combined function P to model the daily earning of the amusement part, where x is the number of $2 increases in the price of a ticket.
P(x) = -40x^2- 100x + 27,500
Use the given Information to complete the sentences.
The constant of the polynomial expression represents the
___ in the price of a ticket.
The binomial (500 - 20x) is a factor of the polynomial expression and represents the ___ in the price of a ticket.
Answers
The complete sentence is as follows:
The constant of the polynomial expression represents the daily earnings of the amusement park before any $2 increase in the price of a ticket.
The binomial (500 - 20x) is a factor of the polynomial expression and represents the number of tickets sold after x increases of $2 in the price of a ticket.
Given, An amusement park prices tickets at $55 and sells an average of 500 tickets daily. The management finds, over multiple increases in ticket pricing that a $2 increase in the price of a ticket leads to an average of 20 fewer tickets being sold in a day.
Management uses the combined function P to model the daily earning of the amusement part, where x is the number of $2 increases in the price of a ticket.
[tex]P(x) = -40x^2- 100x + 27,500[/tex].
What is the combined function?In mathematics, function composition is an operation ∘ that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g. In this operation, the function g is applied to the result of applying the function f to x.
We need to use the given information to complete the sentences.
The complete sentence is as follows:
The constant of the polynomial expression represents the daily earnings of the amusement park before any $2 increase in the price of a ticket.
The binomial (500 - 20x) is a factor of the polynomial expression and represents the number of tickets sold after x increases of $2 in the price of a ticket.
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The constant of the polynomial expression represents the daily earning of the amusement park before any $2 increase in the price of a ticket, and (500 - 20x) represents the number of tickets sold after x increases by $2.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
An amusement park prices tickets at $55 and sells an average if 500 tickets daily.
The function P(x) represents the daily earning of the amusement part, where x is the number of $2 increases in the price of a ticket.
Plug x = 0
P(0) = 27500
The above value is the constant of the polynomial function.
The constant of the polynomial expression represents the daily earning of the amusement park before any $2 increases in the price of a ticket.
As the x is the number of $2 increases in the price of a ticket.
Then,
= (500 - 20x) is the binomial that represents the number of tickets sold after x increases by $2
Thus, the constant of the polynomial expression represents the daily earning of the amusement park before any $2 increase in the price of a ticket, and (500 - 20x) represents the number of tickets sold after x increases by $2.
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Which of the following is a secant on the circle below?
A. SU
B. RT
C. SU
D. UT
Answers
The secant of circle is SU and RT.
What is Secant of the Circle?A straight line that intersects a circle in two points is called a secant line.
From the given diagram,
The line which intersects the circle at two points or an extended chord is SU and RT.
Hence, secant is SU and RT.
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if l and m are parallel,which pair of angles are supplementary?
Answers
Answer:
Option (1)
Step-by-step explanation:
Angles 2 and 5 are supplementary by the same-side interior angles theorem.
Gerald is constructing a line parallel to line l through point P. He begins by drawing line m through points P and Q. He then draws a circle centered at Q, which intersects line l at point N and line m at point S. Keeping the compass measure, he draws a congruent circle centered at point P, which intersects line m at point T.
Which next step will create point R, such that when a line is drawn through points P and R, the line will be parallel to line l?
Lines m and n intersect at point Q. A circle is drawn around point Q and forms point S on line m and forms point N on line l. Point P is also on line m. A circle is drawn around point P and forms point T on line m.
Use the compass to construct a circle centered at Q through point P.
Using the compass measure between points S and N, draw an arc to the right of line m, centered at T, intersecting the edge of circle P.
Using the compass measure between points S and N, draw an arc above line l, centered at N, intersecting the edge of circle Q.
Use the compass to construct a circle centered at P through point Q.
Mark this and return
Answers
Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope. The correct option is C.
How are parallel straight lines related?Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.
Since the given parallel line has equation y = 2x + 2 , thus its slope is 2 and thus, the slope of the needed line is 2 too.
The next step that Gerald should take is Using the compass measure between points S and N, draw an arc to the right of line m, centered at T, intersecting the edge of circle P.
Hence, the correct option is C.
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What is the solution (a+b) to this system of linear equations
3a+6b=45
2a-2b=12
Answers
The value of the equation a + b is 12
How to determine the solution?The system of equations is given as:
3a + 6b = 45
2a - 2b = 12
Multiply the second equation by 1.5
3a - 3b = 18
Subtract this equation from the first equation to eliminate a
9b = 27
Divide by 9
b = 3
Substitute b = 3 in 2a - 2b = 12
2a - 2*3 = 12
Divide through by 2
a - 3 = 6
Add 3 to both sides
a = 9
So, we have:
a + b = 9 + 3
Evaluate
a + b = 12
Hence, the value of the equation a + b is 12
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Which of the following appear in the diagram below?
Answers
Answer:
Step-by-step explanation:
Comment
The one you can pick out that is true is D. The others you have to be careful with. C is a line and it has two arrowheads in the symbol above the two letters which makes it correct as well. A is not correctly marked, so it is not there the way it is marked. One would think ZX is a ray the way it is marked.
Answer: C and D
sin2pheta/sinpheta + 1+cos2pheta/cospheta =
4sinpheta
4cospheta
2cospheta
2sinpheta
Answers
Answer:
4cos(θ)
{4cospheta}
Answer:
4cos(θ)
{4cospheta}
Step-by-step explanation:
[note, brainly doesn't allow pheta to be entered as a symbol when writing an equation, so I had to write it out, my apologies]
[tex]\frac{\sin \left(2pheta \right)}{\sin \left(pheta\right)}+\frac{1+\cos \left(2pheta\right)}{\cos \left(pheta\right)}\\[/tex]
[tex]\frac{1+\cos \left(2pheta\right)}{\cos \left(pheta\right)}\ = 2\cos \left(pheta\right)[/tex]
[tex]\frac{\sin \left(2pheta \right)}{\sin \left(pheta\right)}=2\cos \left(pheta\right)[/tex]
2cos(θ) + 2cos(θ) = 4cos(θ)
so, 4cos(θ) is your answer
(4cospheta)
hope this helps!! :)
Which inequality defines the shaded region graphed below?
Answers
Answer:
Every ordered pair within this region will satisfy the inequality y ≥ x. Incorrect. The boundary line here is y = x, and the correct region is shaded, but remember that a dotted line is used for < and >. The inequality you are graphing is y ≥ x, so the boundary line should be solid.
What is the value of x?
(See attached image for details.)
Enter your answer in the box.
x = ...°
Answers
Answer:
x = 55°
Step-by-step explanation:
Hello!
The sum of angles in a triangle is 180°.
To solve for x, we have to subtract the given angles from 180°.
Solve for x180° = ∠1 + ∠2 + ∠x180° = 75° + 50° + x°180° - 75° - 50° = x°55° = x°The value of x is 55°.
Angle sum property of a triangle
Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.∠A + ∠B + ∠C = 180°
∠A = ?∠B = 75°∠C = 50°We need to find the value of ∠A
According to the angle sum property of a triangle
⇢∠A + ∠B + ∠C = 180°
⇢∠A + 75° + 50° = 180°
⇢∠A + 125° = 180°
⇢∠A = 180° - 125°
⇢∠A = 55°
A carton of one dozen eggs costs $1.92. What is the unit price of each egg?
Answers
Answer:
$0.16
Step-by-step explanation:
unit price = price of carton / number of eggs
unit price = $1.92/12
unit price = $0.16
what is the value when 18times of the difference of 15 and 12 divided by 6
Answers
If m || k and m || , then
k
m
3
2
Please help
Answers
Answer: [tex]k \parallel l[/tex]
Step-by-step explanation:
Lines that are parallel to the same line are parallel.
Which expression represents the product of negative three-fourths x and –8x? negative 35 over 4 x 6x negative 35 over 4 x squared 6x2
Answers
The expression that represents the product of negative three-fourths x and –8x is 6x^2
How to determine the equivalent expression?The statement is given as:
the product of negative three-fourths x and –8x
Rewrite properly as:
-3x/4 * -8x
Divide 4 and 8 by 4
-3x * -2x
Multiply -3 and -2
6x * x
Multiply x and x
6x^2
Hence, the expression that represents the product of negative three-fourths x and –8x is 6x^2
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Answer:
answer is 6x2 or D
Step-by-step explanation:
Pls give me answer
Initially, a box contains three white and five red balls. Balls
are drawn at random from the box. Whenever a red ball is drawn, it is placed
back into the box together with one extra red ball. Whenever a white ball is
drawn, it is placed back into the box together with two extra white balls. What
is the probability that the first three balls are drawn out of the box alternated
in colour?
Answers
Using it's concept, it is found that the probability that the first three balls are drawn out of the box alternated in colour is of 0.1541 = 15.41%.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Considering the situation described, the ways that alternate colored balls can be taken, and their probabilities, are given as follows:
R(5/8) - W(3/9) - R(5/11).W(3/8) - R(5/10) - W(5/11).Hence the probability is given by:
[tex]p = \frac{5}{11} \times \frac{3}{9} \times \frac{5}{11} + \frac{3}{8} \times \frac{5}{10} \times \frac{5}{11} = 0.0689 + 0.0852 = 0.1541[/tex]
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Who wants to solve a question
Answers
70 packages can be filled from a jar that contains 7/8pounds of the leaves
Ratio and proportionsFractions are written as a ratio of two integers. If each bad contains 1/80 pound peppermint leaves, then;
1/80pounds = 1 package
To determine the total package for 7/8 pounds of leaves
7/8 pounds = x
Take the ratios
1/80 * 8/7 = 1/x
8/560 = 1/x
x = 560/8
x = 70
70 packages can be filled from a jar that contains 7/8pounds of the leaves
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Describe the correlation in terms of strength (weak or strong) and direction positive or negative).
Answers
The description of the correlation in terms of strength (weak or strong) and direction positive or negative) is as explained below.
How to Interpret Correlation Problems?
A correlation coefficient, is expressed as r and it indicates a measure of the direction and strength of a relationship between two variables.
Now, in terms of strength, Correlation strength ranges from -1 to +1. Thus, The closer the correlation is to 0, the weaker it is while the closer it is to ±1, the stronger it is.
Now, in terms of direction;
A correlation of +1 indicates a perfect positive correlation which tells us that both variables move in the same direction together. A correlation of –1 indicates a perfect negative correlation, which tells us that as one variable goes up, the other goes down.A zero correlation suggests that the correlation statistic does not indicate a relationship between the two variables.Read more about Correlation at; https://brainly.com/question/4219149
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Jackson took 8 fewer pictures on Saturday than he did on Friday. If he took 11 pictures on Friday, how many pictures did he take on Saturday?
Answers
Friday =11
Saturday =?
But, we know that the pictures he took on Saturday are eight times fewer than those he took on Friday.
Saturday = 11-8
= 3
∴ He took 3 pictures on Saturday.
Hope this helps >3
A solid right pyramid has a square base with an edge
length of x cm and a height of y cm.
X
Which expression represents the volume of the
pyramid?
O1/3 xy cm³
O1/3 x²y cm³
O1/2 xy² cm³
O1/2 x²y cm³
Answers
The correct answer is option D which is the volume of the square pyramid will be [tex]V = \dfrac{1}{2}x^2y\ cm^3[/tex].
What is a square pyramid?A solid made up of a square base and four triangles connected side by side and meet at the same edge is called a square pyramid.
Given that:-
The side of the square base is x cmThe height of the pyramid is y cm.The volume of the pyramid will be calculated as:-
Volume = [tex]\dfrac{1}{2}[/tex] x Length of square pyramid x Height
Volume = [tex]\dfrac{1}{2}[/tex] x (x)² x y
Volume = [tex]\dfrac{1}{2}[/tex] x²y
Therefore the correct answer is option D which is the volume of the square pyramid will be [tex]V = \dfrac{1}{2}x^2y\ cm^3[/tex].
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From the top of a cliff 90 m high, the angle of depression of a boat on the sea is 26.2°. Calculate how far the boat is
a from the foot of the cliff,
b from the top of the cliff.
Answers
Answer:
a) 182.90 m
b) 203.85 m
Step-by-step explanation:
The relations between trig functions and measures in a right triangle are summarized in the mnemonic SOH CAH TOA. Here, we are given an angle and the side opposite, and we are asked to find the adjacent side and the hypotenuse.
__
a)The foot of the cliff to the boat is the adjacent side of the angle in our model. So, we can use the relation ...
Tan = Opposite/Adjacent
Solving for the adjacent side, we have ...
BF = (90 m)/tan(26.2°) ≈ 182.90 m
The boat is about 182.90 meters from the foot of the cliff.
__
b)The top of the cliff to the boat is the hypotenuse of the triangle we're using to model the situation. This means the applicable relation is ...
Sin = Opposite/Hypotenuse
BC = (90 m)/sin(26.2°) ≈ 203.85 m
The boat is about 203.85 meters from the top of the cliff.
Jaime adds equations A and B to solve this system of equations. Why is this method
generally valid for solving a system of equations?
Answers
The elimination method is valid for the system of equation because the y term cancels.
How to solve a system of equation using elimination method?The system of equation can be solved using elimination methods.
Therefore,
x - 2y = 3
3x + 2y = 17
Hence,
x + 3x = 4x
-2y + 2y = 0
3 + 17 = 20
Therefore,
4x = 20
The y term cancels. Therefore, we can solve for x and later solve for y.
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Answer:
Adding a quantity like x – 2y to one side of an equation and another quantity like 3 to the other side maintains the equality if the two quantities are equal.