help please, i’ll mark brainliest

Help Please, Ill Mark Brainliest

Answers

Answer 1

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

The corresponding sides are proportional:

  (2x +1)/5 = (x +2)/3

  3(2x +1) = 5(x +2) . . . . . cross multiply

  6x +3 = 5x +10 . . . . . . . eliminate parentheses

  x = 7 . . . . . . . . . . . . . . . subtract 5x+3 from both sides


Related Questions

Please look at the pic and help!!

Please look at the pic and help!!

Answers

Answer:

4x² + 22x - 12

Step-by-step explanation:

A = bh/2

A = (4x - 2)(2x + 12)/2

A = (8x² + 48x - 4x - 24)/2

A = (8x² + 44x - 24)/2

A = 4x² + 22x - 12

How can u find the perimeter in a graph

Answers

Yeah you should try khan academy or Ytube

If the profits in your consulting business increase by 8​% one year and decrease by 2% the following​ year, your profits are up by ​6% over two years.

Answers

Answer:

not true....

assume $100 start.

in year 1 you are at $108 (up 8%)

in year 2  $108(.98) ... that is 2% down = 105.84...

thus your profit is up only 5.84% over the two years

Step-by-step explanation:


Can anyone help me find the correct angle for ZWP?

Can anyone help me find the correct angle for ZWP?

Answers

Answer:

56 degrees

Step-by-step explanation:

Here, I think you just accidentally put the value for the angle ZWX, which would be ZWP+PWX(56+56).

You actually already wrote it on the paper, so nothing wrong with your math here, just a thinking error :)

HELP!! URGENT!!
Find the perimeter of the triangle. Simplify your answer.

HELP!! URGENT!!Find the perimeter of the triangle. Simplify your answer.

Answers

The expression that represent the perimeter of the triangle is 3d² - 4d + 1.

What is the perimeter of the given triangle?

The perimeter of any two-dimensional figure is simply the distance around the figure.

Hence, the perimeter of the triangle is the sum of all its 3 side lengths.

From the diagram:

Side length 1 = ( d² + 3 )

Side length 2 = ( 4d² + 3d - 2 )

Side length 3 = ( -2d² - 7d )

Hence, the perimeter of the triangle will be:

Perimeter = side length 1 + side length 2 + side length 3

Plug in the expressions

Perimeter = ( d² + 3 ) + ( 4d² + 3d - 2 ) + ( -2d² - 7d )

Collect and add like terms:

Perimeter = d² + 3 + 4d² + 3d - 2 + -2d² - 7d

Perimeter = d² + 4d² - 2d² + 3d - 7d + 3 - 2

Perimeter = 3d² - 4d + 1

Therefore, the perimeter is 3d² - 4d + 1.

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Chose all the shapes that have opposite sides the same length

Answers

Where’s the shapes??

(x+4)/(x^(2)+5x+6)*(x+3)/(x^(2)-16) solve this show all your work

Answers

Answer:

1/(x^2-6x+8)

Step-by-step explanation:

1. x^2-16=(x-4)*(x+4)

2. x^2+5x+6=(x+2)*(x+3)

So (x+4)/(x^2+5*x+6) *(x+3)/(x^2-16)=

=(x+4)*(x+3)/((x+4)(x-4)(x+2)(x+3))=1/((x-4)(x-2))=1/(x^2-6x+8)

I’m am really confused on this question

Im am really confused on this question

Answers

Answer:

2x^7

Step-by-step explanation:

add the exponents because they both are x

2x^4*x^3=2x^7

Rick is going to buy donuts for his family. Each donut costs $1.25. If the number of donuts Rick buys is represented using the letter r, which expression represents the total cost?

Rick is going to buy donuts for his family. Each donut costs $1.25. If the number of donuts Rick buys

Answers

The algebraic expression that represents the total cost would be: A. 1.25r.

How to Write an Algebraic Expression?

Given that the number of donuts Rick buys for his family is represented by letter "r", and we also know that:

cost of each donut = $1.25.

Using an algebraic expression, we can create a mathematical expression that shows the total cost for Rick to by a given number of donuts for his family.

Thus:

1 donut = 1.25

r donuts would cost: 1.25 × r = 1.25r.

Therefore, the algebraic expression that represents the total cost would be: A. 1.25r.

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For which pair of triangles could the Angle-Side-Angle Postulate (ASA) be used to prove that △ABC≅△XYZ ? I only have an hour pls help.

For which pair of triangles could the Angle-Side-Angle Postulate (ASA) be used to prove that ABCXYZ ?

Answers

The pair that support Angle-Side-Angle Postulate (ASA) be used to prove that △ABC△XYZ is option B

What are congruent triangles?

Triangles are said to be congruent when the sides and angles equal in accordance to to the triangle congruency rules

examples of these rules are

Angle - Side - Angle = ASASide -  Side - Side = SSSSide - Angle - Side = SASAngle - Angle - Side = AASHypotenuse and one leg = HL

The problem requires the prove by Angle - Side- Angle = ASA to ensure that the the triangles are congruent

The Angle - Side - Angle = ASA have it that the two triangles being compared should have their two angles and the included side being equal

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For which pair of triangles could the Angle-Side-Angle Postulate (ASA) be used to prove that ABCXYZ ?

GIVING BRAINLIEST
What is the approximate distance between points A and B?


3.61
9.22
10.35
12.62

GIVING BRAINLIESTWhat is the approximate distance between points A and B? 3.619.2210.3512.62

Answers

Answer:

9.22

I really hope it helps

let me know am i right to be shure

Answer:

\(9.22\)

Step-by-step explanation:

You would need to use the distance formula to find the approximate distance between points A and B.

\(distance=\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^2}\)

\(\sqrt{((-2)-4)^{2} +((-4)-3)^2}\)

\(\sqrt{(-6)^{2} +(-7)^2}\\\)

\(\sqrt{36 +49}\)

\(\sqrt{85}\)

\(\sqrt{85}=9.219544457=9.22\)

Therefore, the approximate distance between points A and B is 9.22.

Will give brainliest if someone helps with this question

Will give brainliest if someone helps with this question

Answers

Answer:

y=-3x-6

Step-by-step explanation:

go down 3

over 1

rise over run 3/1

it's already on -6

in an experiment to learn whether substance m can help restore memory, the brains of 20 rats were treated to damage their memories. first, the rats were trained to run a maze. after a day, 10 rats (determined at random) were given substance m and 7 of them succeeded in the maze. only 2 of the 10 control rats were successful. the two-sample z test for the difference in the true proportions. Gives z= 2.25, P< 0.02

Answers

The z-value obtained from the test was 2.25, and the p-value was less than 0.02.

What is probability ?

Probability can be defined as ratio of number of favourable outcomes and total number of outcomes.

Based on the experiment described, a two-sample z-test for the difference in proportions was conducted to determine if there is a significant difference between the proportion of rats that succeeded in the maze after being given substance m and the proportion of rats in the control group that succeeded in the maze.

This suggests that the difference in proportions between the two groups is statistically significant at the 0.05 level of significance (since the p-value is less than 0.05).

In other words, the results of the experiment suggest that substance m may be effective in helping to restore memory, as a greater proportion of rats in the substance m group succeeded in the maze compared to the control group. However, it's important to note that further experiments and analyses would be necessary to confirm these findings and determine the extent of the effect of substance m on memory restoration.

Therefore, The z-value obtained from the test was 2.25, and the p-value was less than 0.02.

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Which expression is equivalent to 6(c+8)?

Answers

Answer:

Step-by-step explanation:

You haven't provide expressions to choose from.

6(c+8) = 6c+48

Answer:

6c + 48

Step-by-step explanation:

May you help me please with this homework for Math?

May you help me please with this homework for Math?

Answers

The the vertices of reflected square, Q'R'S'T are Q' = (3, 1), R' = (-8, -2), S' = (-7, -7) and T' = (-2, -6)

What is reflection?

A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.

Given that, a square QRST with vertices Q(-3, 1), R(8, -2), S(7, -7) and T(2, -6)

is reflected across y-axis, to form Q'R'S'T we need to find the vertices of reflected square.

We know that, rule of reflection over y-axis,

(x, y) → (-x, y)

Q' = (3, 1)

R' = (-8, -2)

S' = (-7, -7)

T' = (-2, -6)

Hence, the the vertices of reflected square, Q'R'S'T are Q' = (3, 1), R' = (-8, -2), S' = (-7, -7) and T' = (-2, -6)

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Jacob biked 10 miles in 45 minutes at this rate how far would he bike in 4.5 hours in hours how many hours would it take him to hike 90 miles create a proportion to represent these situation and solve

Answers

Answer:60, 6.75

Step-by-step explanation:

To solve the first prompt, we must create an equality statement.

\(\frac{10}{45}=\frac{x}{270}\) X being the distance he can go in 4.5 hours.

In order to have came up with 270, we needed to take 4.5 hours and turn it into a measure of minutes to correspond to the minute value of 45.

This is found by multiplying 4.5 by 60.

Now that we have this done, we can cross multiply the equality statement.

\(10\cdot270=45x\)

Simplify the first side

\(2700=45x\)

Divide both sides by 45

\(\frac{2700}{45}=\frac{45x}{45}\)

\(60=x\)

This means that Jacob can bike 60 miles in 4.5 hours.

For the second prompt, we need to find how long it would take for him to bike 90 miles given the amount of time it took for him to bike 10 miles.

We can use an equality statement like this:

\(\frac{45}{10}=\frac{x}{90}\)

Now we cross multiply:

\(45\cdot90=10\cdot x\)

Simplify:

\(4050=10x\)

Now we can divide both sides by 10.

\(\frac{4050}{10}=\frac{10x}{10}\)

\(405=x\)

This means that it would take Jacob 405 MINUTES to bike 90 miles.

To turn this into a measure of hours, we need to divide 405 by 60, which comes out to 6.75.

It would take Jacob 6.75 hours to bike 90 miles.

4x3 = -5x - 21 solve for x

Answers

To solve for x in the equation 4x3 = -5x - 21, we can follow these steps:

1. Move all the terms containing x to one side of the equation, and move the constant term to the other side. We can do this by adding 5x to both sides and then adding 21 to both sides:

   4x3 + 5x = -21

2. Factor out x from the left-hand side of the equation:

   x(4x2 + 5) = -21

3. Divide both sides by (4x2 + 5):

   x = -21 / (4x2 + 5)

So the solution for x is x = -21 / (4x2 + 5). Note that this is a rational function, which means that the value of x depends on the value of the variable x. This equation has no real solutions because the denominator is always positive, and the numerator is negative.

(40 Points) HURRY!
Games 'n' Mods is a large electronics company that builds and sells custom gaming computers. Research shows that customers pay more per computer when the company builds fewer computers. If the company builds q computers to sell, it can charge 800–5q dollars for each computer. This means its revenue will be q(800–5q) dollars. Each computer requires $300 in materials to build, and Games 'n' Mods has invested $8,000 in new equipment. This means the company's costs will be 300q+8,000 dollars. So, if the company builds and sells q computers, its profit will be q(800–5q)–(300q+8,000) dollars.
This expression can be simplified to 5q²+500q–8,000 and then written in factored form as 5(q–20)(q–80).
What do the numbers 20 and 80 represent in the expression?
Options are in the attachment.

(40 Points) HURRY!Games 'n' Mods is a large electronics company that builds and sells custom gaming computers.

Answers

Step-by-step explanation:

The expression in factored form is 5(q-20)(q-80).

The numbers 20 and 80 represent the values of q that make the expression equal to zero.

Setting the expression equal to zero, we get:

5(q-20)(q-80) = 0

This means that either (q-20) = 0 or (q-80) = 0, since the product of two factors is zero if and only if at least one of the factors is zero.

Solving for q in each case, we get:

q-20 = 0 -> q = 20

q-80 = 0 -> q = 80

Therefore, the numbers 20 and 80 represent the values of q that make the profit equal to zero (i.e., the break-even points). If Games 'n' Mods builds and sells fewer than 20 or more than 80 computers, it will operate at a loss. If it builds and sells between 20 and 80 computers, it will make a profit.

A specimen of connective tissue (collagen) can be obtained from a beef steak. The temperature at which the collagen shrinks can be determined. A tender piece of meat tends to have a low collagen shrinkage temperature. So, the lower shrinkage temperature, the more tender the meat. It is believed that electrical stimulation of a beef carcass could improve the tenderness of the meat. In one study of this effect, beef carcasses were split in half; one side (half) was subjected to a brief electrical current and the other side was an untreated control. For each side, a steak was cut and tested in various ways for tenderness. In one test, the experimenter obtained a specimen of the connective collagen tissue from the steak and determined the temperature at which the tissue would shrink. The experimenter wishes to prove that electrical stimulation tends to improve the tenderness of the meat. The raw data are found in the table below. Let = 0.02.

Answers

To draw a conclusion, a statistical analysis with a significance level (alpha) of 0.02 can be applied to compare the results.treated samples consistently show lower shrinkage temperatures compared to the control samples

In this study, the aim is to prove that electrical stimulation improves meat tenderness. Connective tissue (collagen) from beef steaks was examined, as lower collagen shrinkage temperature indicates higher tenderness.

The beef carcasses were split, with one side subjected to electrical current and the other side untreated as a control. Steak samples were cut from each side and tested for tenderness by determining the collagen shrinkage temperature.

I, it suggests that electrical stimulation does improve meat tenderness.

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IS THIS RIGHT? (28 points easy!!)

IS THIS RIGHT? (28 points easy!!)

Answers

Step-by-step explanation:

yes, the step is correct.

a² = cx | multiply by c

ca² = c²x

I am just not sure how that simplified the equation.

what do you want to achieve ? what's the goal here ?

to solve the equation for x it would be to divide both sides by c, which gives

a²/c = x

1
Given: - 2 x > 6.
Choose the solution set.
O{x|xER, x>-12}
{x|xER, x>-3}
{x|xER,x<-3}
(xxER, x < -12}

1Given: - 2 x &gt; 6.Choose the solution set.O{x|xER, x&gt;-12}{x|xER, x&gt;-3}{x|xER,x&lt;-3}(xxER,

Answers

Answer:

x< -12

Step-by-step explanation:

-1/2x>6
x-2.   x-2

x>-12

Since we multiply by we negative we flip the sign

x< -12

Hopes this helps

i will pos the question on the comment

Answers

The area of the shaded region

=

\(\begin{gathered} \pi R^2\text{ - }\pi r^2 \\ =\text{ }\pi(14)^2\text{ - }\pi(7)^2 \\ =\text{ 196 }\pi\text{ - 49 }\pi \\ =\text{1}47\text{ }\pi \\ =\text{ 461.58 square millmetres} \end{gathered}\)

1
ir fx) =
x+ 2, what is f(3+h)
(3+h)
O A. (x + 2)
1
O B. 3+h
1
c. (x+2)(3+h)
1
D. h+ 5

1ir fx) =x+ 2, what is f(3+h)(3+h)O A. (x + 2)1O B. 3+h1c. (x+2)(3+h)1D. h+ 5

Answers

The correct answer to your question is d

Research in March 2019 suggests that 40% of U.S. adults approve of way President Trump is running the country. We randomly sample 50 U.S. adults and find that 35% approve of way President Trump is running the country. What is the probability that a random sample of 50 U.S. adults has less than 35% with this opinion

Answers

Answer:

0.235

Step-by-step explanation:

Define S as

S = the event that a randomly selected adult in the U.S. approves of President Trump.

Define ~S as the negation of S, i.e.,

~S = the event that a randomly selected adult in the U.S. does not approve of President Trump

Then,

P(S) = 40% = 0.4

P(~S) = 1 - 0.4 = 0.6

35% of 50 = 0.35 * 50 = 17.5.

We want to compute:

P(a random selection of 50 adults has less than 17.5 of them approving of President Trump) =

P(17 of the 50 approve) + P(16 of the 50 approve) + P(15 of the 50 approve) + . . . + P(none of the 50 approve).  

We approximately compute this by approximating the summation (which is from a binomial distribution) by a normal distribution with

mean = 0.4(50) = 20,

and

standard deviation = sqrt( .4 * .6 * 50) = sqrt( 12 ) = 3.464 rounded to the nearest 1000th.  

So, for normal random variable X with mean = 20 and std = 3.464, the probability that we want is approximately equal to P(X < 17.5), where we note that X is a real random variable.  

So, the Z value = (17.5 - 20)/3.464 = -0.722, rounded to the nearest 1000th.  

Using the normal random variable online calculator, https://stattrek.com/online-calculator/normal.aspx,

we get that

P(z < -0.722) = 0.235, which is the answer to the question.  

solve the system of two linear inequalities graphically.
y≤−5x−10
y>x+2

Answers

y≤−5x−10 and y>x+2 The shaded region satisfies both inequalities and represents the solution to the system of linear inequalities.

To graphically solve this system of linear inequalities, we can start by graphing each inequality on the same coordinate system:

First, let's graph the inequality y ≤ -5x - 10. We can start by graphing the line y = -5x - 10, which is the boundary line of the inequality. We can plot two points on this line, say (-2,0) and (0,-10), and draw a straight line passing through them.

Next, we need to determine which side of the line satisfies the inequality y ≤ -5x - 10. We can choose any point on one side of the line, say (0,0), and test it in the inequality. If y ≤ -5x - 10 is true for (0,0), then that side of the line satisfies the inequality. Otherwise, the other side satisfies the inequality. Testing (0,0), we have:

0 ≤ -5(0) - 10

0 ≤ -10

This is false, so the side of the line containing the origin does not satisfy the inequality. The other side of the line does.

Now, let's graph the inequality y > x + 2. We can start by graphing the line y = x + 2, which is the boundary line of the inequality. We can plot two points on this line, say (-2,0) and (0,2), and draw a straight line passing through them.

Next, we need to determine which side of the line satisfies the inequality y > x + 2. We can choose any point on one side of the line, say (0,0), and test it in the inequality. If y > x + 2 is true for (0,0), then that side of the line satisfies the inequality. Otherwise, the other side satisfies the inequality. Testing (0,0), we have:

0 > 0 + 2

This is false, so the side of the line containing the origin does not satisfy the inequality. The other side of the line does.

Now, we can shade the region that satisfies both inequalities. The shaded region is the region that is below the line y = -5x - 10 (including the line itself) and above the line y = x + 2 (excluding the line itself).

The shaded region is shown below:

Graph of y≤−5x−10 and y>x+2

The shaded region satisfies both inequalities and represents the solution to the system of linear inequalities.

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solve the system of two linear inequalities graphically.y5x10y&gt;x+2

Write the given statement using symbols type any Quetion do not simplify The sum of X and eight is the product of seven and 10

Answers

Answer:

\(x+8=7*10\)

Step-by-step explanation:

Sum of X and 8: \(x+8\)

Product of seven and 10: \(7*10\)

Put them together:

\(x+8=7*10\)

Gregory rode his scooter 2 miles in 30 minutes. At this rate, how far would he ride in
45 minutes?

Answers

It would be 3 miles.

find the value of each variable in the parallelogram. 50 points

find the value of each variable in the parallelogram. 50 points

Answers

The value of n is 108°

The value of m is 36°

Sum of angles in a quadrilateral.

A quadrilateral is a plane figure that has four sides or edges, and also has four corners or vertices. The angles are present at the four vertices or corners of the quadrilateral.

It is formed by joining four non-collinear points. The sum of interior angles of quadrilaterals is always equal to 360 degrees.

How to find the angles.

We can find the value of n using the principle

72° + n = 180°

Collect like terms

n = 180° - 72°

n = 108°

Knowing that the sum of the angles n and angles 2m is equal to 180°, this will give us

2m + 108 = 180°

We collect like terms from here.

2m = 180° - 108

2m = 72°

m = 72/2

m = 36°

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How many real solutions does the equation √2x + 4 = 1/2x + 1 have?
A. 0
B. 1
C. 2
D.cannot be determined from the graph

How many real solutions does the equation 2x + 4 = 1/2x + 1 have?A. 0B. 1 C. 2D.cannot be determined

Answers

There is exactly one real solution to the equation. Option B.

To determine the number of real solutions for the equation √(2x + 4) = 1/(2x + 1), we can start by setting up the equation and solving it.

√(2x + 4) = 1/(2x + 1)

To eliminate the square root, we can square both sides of the equation:

(√(2x + 4))^2 = (1/(2x + 1))^2

2x + 4 = 1/(2x + 1)^2

Now we can cross-multiply to get rid of the fraction:

(2x + 4)(2x + 1)^2 = 1

Expanding and simplifying:

4x^3 + 12x^2 + 10x + 4 = 1

4x^3 + 12x^2 + 10x + 3 = 0

Now, we have a cubic equation. To determine the number of real solutions, we can analyze the equation or plot its graph. However, it is not immediately clear from the equation alone how many real solutions there are.

To obtain a more precise answer, we can use numerical methods or graphing technology to analyze the equation. By plotting the graph of the equation or using numerical methods such as Newton's method or the bisection method, we can find that there is exactly one real solution to the equation. Option B is correct.

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I'm having trouble understanding this..​

I'm having trouble understanding this..

Answers

The fraction you just divide the top from bottom the v thing is 2.236 so just turn all of them into decimals and put it from least to greatest
here is a drawing explanation
I'm having trouble understanding this..
Other Questions
if sea level continues to rise, it could cover the city of miami, florida. this is an example of a(n) Christopher Columbus arrives in the New World Cabeza de Vaca crash lands in Texas Alonso Pineda maps the coast of Texas Robert La Salle set up Fort St. Louis Spanish Missions are built as a reaction to Fort St. Louis - 1690 Francisco Coronado searches for Cibola Hernan Cortes defeats the Aztec Empire Is this in order right the labia minora join at the top of the vulva to form the Which transition word is also used to indicate a summary?alsolastlyafterinstead How is the president able to limit, or check, the power of the legislativebranch? MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Consumers allocate their budgets among bundles because 1) A) consumers face choices and tradeoffs. B) they want to minimize trips to the store. C) more is not always better. D) bundles are the most efficient way to package goods and services. 2) If a consumer prefers apples to bananas and prefers bananas to citrus fruit, in order to satisfy assumptions about preferences she has to prefer 2) A) citrus fruit to apples. B) apples to citrus fruit. C) bananas to apples. D) citrus fruit to bananas. 3) An indifference curve represents bundles of goods that a consumer 3) A) ranks from most preferred to least preferred. B) views as equally desirable. C) refers to any other bundle of goods. D) All of the above. 4) Indifference curves close to the origin are, those farther from the origin because of A) better than; transitivity B) worse than; transitivity C) worse than; nonsatiation D) better than; completeness 5) Measuring "y" on the vertical axis and "x" on the horizontal axis, convexity of indifference curves implies that the b of "y" for "x" 5) A) is constant as "x" increases. B) is decreasing as "x" increases. C) is increasing as "x" increases. D) cannot be calculated for large levels of "x." 6) For which of the following pairs of goods would most people likely have convex indifference curves? 6). A) nickels and dimes B) movie tickets and concert tickets C) left shoes and right shoes D) None of the above. Perfect substitutes 7). A) have horizontal indifference curves. B) always have indifference curves with slopes of -1. C) always have indifference curves with slopes of 1. D) have fixed rates of trading off one good for another. For the following, please answer "True" or "False" and explain why. ESSAY. Write your answer in the space provided or on a separate sheet of paper. 8) Indifference curves cannot intersect. 9) If two bundles are on the same indifference curve, then MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 9) B) no comparison can be made between the two bundles since utility cannot really be measured. A) the consumer derives the same level of ordinal utility from each but not the same level of cardinal utility. C) the MRS between the two bundles equals one. D) the consumer derives the same level of utility from each. 10) If Fred's marginal rate of substitution of salad for pizza equals 5, then 10). - A) he will eat five times as much salad as pizza. B) he would give up 5 pizzas to get the next salad. he will eat five times as much pizza as salad. D) he would give up 5 salads to get the next pizza. 11) Joe's income is $500, the price of food (F, y-axis) is $2 per unit, and the price of shelter (S, x-axis) is $100. Wh following represents his marginal rate of transformation of food for shelter? 11) A)-50 B)-5 C)-.02 D) None of the above. 12) The marginal rate of transformation of y for x represents 12) A)-Px/Py- B) the slope of the budget constraint. C) the rate at which the consumer must give up y to get one more x. D) All of the above. 13) 13) Lisa eats both pizzas and burritos. If the price of a pizza increases, Lisa's opportunity set A) is unchanged. B) becomes smaller.. C) becomes larger. D) cannot be determined without more information. 14) Economists assume consumers select a bundle of goods that maximizes their well-being subject to A) their wealth. B) relative prices. C) their marginal rate of substitution. D) their budget constraint. 15) 15) By selecting a bundle where MRS-MRT, the consumer is A) reaching the highest possible indifference curve she can afford. B) not behaving in an optimal way. C) achieving a corner solution. D) All of the above. Mark borrowed $7400 at an interest rate of 10.5% for 1/4 of a year how much interest will he pay when his loan is paid off True or false: During the filtering step of listening, some information might be categorized as useless. Do you think mouse offspring will always look like their parents Question 12 (2 points) Which of the following does not secrete hormones as a part of the endocrine system? O A) pancreas B) ovaries and testes C) muscles and bones D) brain O E) kidneys w varies directly as the square of x and inversely as p and q. If w = 12 when x = 4, p = 2 and q = 20, find w when x = 3, p= 8 and q = 5. b. 9 d. 5 21. 2. A car traveling 300 miles in 5 hours is an example ofa) Speedb) VelocityDC) Accelerationd) Direction 11. Which expression has the least value?B 81 - 25C 64 + 25D 64 - 31 ANSWER QUICK HANKS I WILL GIVE BRAINLIEST Primus Corp. is planning to convert an existing warehouse into a new plant that will increase its production capacity by 45%. The cost of this project will be $7,125,000. It will result in additional cash flows of $1,875,000 for the next eight years. The company uses a discount rate of 12%. 1. What is the payback period? 2. What is the NPV for this project? 3. What is the IRR?Annual Cash Flows Is this how I do a sign analysis table? Im not sure if I should include the x^2 In problems 1-3, use properties of exponents to determine which functions (if any) are the same. Show work to justify your answer. This is not a calculator activity. You must explain or justify algebraically.1. f(x) = 3x-2 2. g(x) = 3* - 9. h(x) = *2. f(x) = 4x + 12. g(x) = 2*. h(x) = 64(4*)3. f(x) = 5x + 3. g(x) = 5*. h(x) = -5* What kinds of economies do the United States and Canada have? A plumber charges $55.00 for a service call plus $35.00 per hour. If the total bill was $160.00 . Select an equation , with x representing the number of hours that can be use to determine how many hours the plumber was there. A) 55x + 35 = 160B) 35x + 160 = 55C) 35x + 55 = 160D) 160x +55 = 35.00 __________ is the study of descriptive materials about a single society at more than one point in time.