Line segment MN is the image of CD after a dilation by a factor k with a center at point A. Using your ruler, determine the value of k to the nearest hundredth. Show the work that leads to your answer.

Given:

Required:

Find the sum of the arithmetic series.

Explanation:

The sum of the arithmetic series when the first and the last term is given by the formula.

Substitute the given values in the formula.

Final Answer:

Option D is the correct answer.

Answer: (f o g)(-7) = 95

Step by step solution:

We have the two functions:

We need to find (f o g)(-7) or f(g(-7)), first we evaluate g(-7):

Now we evaluate f(48):

Answer: Total perimeter = 9, 962.01 feet

The figure is a composite structure

It contains a rectangle and triangle

The perimeter of a rectangle is given as

Perimeter = 2( length + width)

length of the rectangle = 1500ft

Width of the rectangle = 1390 ft

Perimeter = 2( 1500 + 1390)

Perimeter = 2(2890)

Perimeter = 5780 ft

To calculate the perimeter of a triangle

The total perimeter of the field = Perimeter of the rectangle + perimeter of the right triangle

Total perimeter = 5780 + 4182.01

Total perimeter = 9, 962.01 feet

Expanding 7(x - y) in the above expression gives

adding the like terms (2x+ 7x) and (-5y-7y) gives

The last expression is the simplest form we can convert our expression into.

We will solve all the systems by substitution method .

System 1.

By substituting the second equation into the first one, we get

which gives

this means that the given equations are the same. Then, the answer is B: infinite solutions.

System 2.

By substituting the first equation into the second one, we have

which gives

but this result is an absurd. This means that the equations represent parallel lines. Then, the answer is option A: no solution.

System 3.

By substituting the first equation into the second one, we obtain

by moving -3/4x to the left hand side and +1 to the right hand side, we get

By combining similar terms, we have

this leads to

then, x is given by

Now, we can substitute this result into the first equation and get

which leads to

then, the answer is option C: (-8/3, 5)

System 4.

By substituting the second equation into the first one, we get

By combing similar terms, we have

By substituting this result into the second equation, we have

then, the answer is option D

In this case the aswer is very simple. .

The congruent parts are the equal parts in the 2 triangles.

Therefore, the congruent parts would be:

1. side AB and side XY

2. ∠ A and ∠ X

3. side AC and side XZ

That is the solution. .

Hello!

First, let's rewrite the function:

Now, let's find each coefficient of it:

• a = -2

• b = 108

• c = 75

As we have a < 0, the concavity of the parabola will face downwards.

So, it will have a maximum point.

To find this maximum point, we must obtain the coordinates of the vertex, using the formulas below:

So, the coordinate x = 27.

The coordinate y = 1533.

Answer:

The maximum profit will be 1533 (value of y) when x = 27.

ANSWER

EXPLANATION

First, let us make a sketch of the problem:

To find the time it will take the airplane to be in the clouds, we first have to find the distance flown by the airplane in attaining that height, x.

To do this, apply trigonometric ratios SOHCAHTOA for right triangles:

Solve for x:

Now, that we have the distance, we can solve for the time by applying the relationship between speed and distance:

Substitute the given values into the formula above and solve for time:

That is the number of seconds that it will take.

The average rate of change from g(1) to g(3)

where

Hence the average rate of change is -6

The percent error of the house of the pizza would be 2.

The difference between the estimated and actual values in comparison to the actual value is expressed as a percentage. In other words, the relative error multiplied by 100 equals the percent error.

Percent errors indicate the magnitude of our errors when measuring something in an analysis process. Lower percentage errors indicate that we are getting close to the accepted or original value.

Suppose the actual value and the estimated values after the measurement are obtained. Then we have:

Error = Actual value - Estimated value

To determine the percent error, we will measure how much percent of the actual value, the error is, in the estimated value.

We have been given that House of Pizza says that their pizzas are 14 inches wide, but when measured, the pizza was 12 inches.

WE know that Error = Actual value - Estimated value

Then Error = 14 - 12 = 2

Therefore, the percent error would be 2.

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To solve this problem we have a formula at hand: the mean (m) number of credits cards is

Then,

Note : The use of comma as number separator represent point in this solution

Step 1: Let the number be x, thus, 2/7 parts of the number means

Step 2: Subtract 0,4 from 2/7 parts of x

Step 3: Equate the expression above to 3/5

Step 4: Simplify the equation above

Hence, the number is 3,5

Option C is correct

we have

four subtracted from the product of 10 and a number is at most-20

Let

n ----> the number

so

solve for n

the solution for n is the interval (-infinite, -1.6]

All real numbers less than or equal to negative 1.6

The given inequality is:

2 (x - 1

The width of the box is 12 inches

The formula for calculating the volume of a rectangular box is expressed as:

where:

• l is the ,length ,of the box

• w is the ,width, of the box

• h is the ,height ,of the box

Given the following parameters

• length = 18 inches

• heigh = 9 inches

• volume = 1,944 cubic inches

Substitute the given parameters into the formula to calculate the width of the box as shown:

Divide both sides by 162 to have:

Hence the width of the box is 12 inches

Answer:

All cubic function has domain (-∞,∞) and range (-∞,∞)

Step-by-step explanation:

The correct answer is Option A ( III Only). I . -16 sum cannot be negative, II. Not a G.P, III. Sum = 1/4, and IV. Not a G.P.

Given geometric series,

I. 4 +5 +25 /4 ….

The common ratio(r) is (5/1)/(4/1) = 5/4.

S∞ = a / ( 1 - r)

     = 4 / ( 1 - 5/4)

     = 4 / -1/4

S∞ = -16.

Since sum cannot be negative.

II . -7 + 7/3 - 7/9+ ....

  Here common ratio = -7 / (7/3) = -1/3

   but - 7/9 / 7 /3 = 7/9

Here there is no common ratio so this not a G.P.

iii. 1/2 -1 + 2.....

     Common ratio = -1 / (1/2) =  -2

     S∞ =  a / ( 1 - r)

           = 1/2 / (1 -(-2))

     S∞  = 1/4.

iv  4 - 8/5 +16/5.....

   Here there is no common ratio.

   So this is not a G.P.

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ANSWER:

The standard deviation is 7

STEP-BY-STEP EXPLANATION:

The standard deviation formula is as follows

The first thing is to calculate the average of the sample like this:

Replacing and calculate the standard deviation:

let f(x) = y

To find the inverse of f(x), we would interchange x and y:

Then we would make the subject of formula:

In interval notation:

Answer: ask ten students wearing football jerseys each day for a week

This sample wouldn't b representative because, the use of a footblla

Given the surface area of a cube as

Given Cubes A and B

Find the surface area of the cubes and compare them to know which one is larger

Hence, from the surface area gotten above, Cube B has a larger surface area than Cube A

ok

that is the rule

just identify a and b in your problem

a = x

b = 6

Substitute in the theorem, and simplify

The given decimal can be written as a quotient of 513/1000.

What is quotient?

In maths, the result of dividing a number by any divisor is known as the quotient. It refers to how many times the dividend contains the divisor. The statement of division, which identifies the dividend, quotient, and divisor, is shown in the accompanying figure. The dividend 12 contains the divisor 2 six times. The quotient is always less than the dividend, whether it is larger or smaller than the divisor.

we can write the decimal given 0.513 as a answer of of 513 divided by 1000.

I.e.

[tex]0.513 = \frac{513}{1000}[/tex]

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The percentage of discount is 37%

Here, we want to calculate the percentage of discount

The first thing we need to do here is to calculate the discount amount

Mathematically, we have this as;

Now, we find the percentage of 24.99 is this discount

We have this as;

The percentage of discount is approximately 37%

Explanation:

To find the value od 3-(-2), we will multiply the sign at the outer with the inner

SOLUTION

The following diagram will help us solve the problem

(a) From the diagram, the height of the parallelogram is given as TR, and it is 40 mm

Now we can use the area which is given to us as 3,600 square-mm to find the base of the parallelogram, which is PQ

So,

Hence PQ is 90 mm

(b) Now, note that the side

So, we will find QR

Also, since we have PQ, we can find TQ, that is

Note that triangle QRT is a right-angle triangle, and QR is the hypotenuse or the longest side

From pythagoras

So,

Now, since

Hence PS is 50 mm

Because x is continuous, we should use interval notation, the domain is:

D: [1, ∞)

For a function y = f(x), we define the domain as the set of possible inputs of the function (possible values of x).

To identify the domain, we need to look at the horizontal axis. The minimum value is the one we can see in the left side, and the maximum is the one we could see on the right side.

There we can see that the domain starts at x = 1 and extends to the left, so the notation we can use for the domain is:

D: x ≥ 1

We know that the value x =1 belongs because there is a closed dot there.

The correct option is A, because the domain is continuous (as we can see in the graph), we should use interval notation. In this case the domain can be written as:

D: [1, ∞)

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We are given the function that models a deer population:

Where x is the years since the study started. If we want to know the initial population, we want to find the population at x = 0 years.

Thus:

The correct answer is option b. 40

Since 2000 pounds = 907 kilograms, use the conversion factor:

To find out what 91 kg are equal to, measured in pounds:

Therefore, a baby elephant weighs about 200 lbs.

The two points given on the line are

The slope of line that passes through (x1,y1) and (x2,y2) is gotten using the formula below

By substituting the values, we will have

Therefore,

The slope of the line = -1