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Answer:

B

Step-by-step explanation:

The image of the coordinates after a dilation of (9, −7) by a scale factor of 4 centered at the origin include the following: (36, -28).

In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

Next, we would have to dilate the coordinates of the preimage (9, -7) by using a scale factor of 4 centered at the origin as follows:

Coordinate A (9, -7) → Coordinate A' (9 × 4, -7 × 4) = Coordinate A' (36, -28).

In conclusion, the coordinates of the image after a dilation are  (36, -28).

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The samples of size n = 2 that can be drawn from this population is 28

From the question, we have the following parameters that can be used in our computation:

Population, N = 8

Sample, n = 2

The samples of size n = 2 that can be drawn from this population is calculated as

Sample = N!/(n! * (N - n)!)

substitute the known values in the above equation, so, we have the following representation

Sample = 8!/(2! * 6!)

Evaluate

Sample = 28

Hence, the number of samples is 28

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Complete question

A finite population consists of 8 elements.

10,10,10,10,10,12,18,40

How many samples of size n = 2 can be drawn this population?

Answer:

63 inches

Step-by-step explanation:

We can write a ratio to solve

7 inches        x inches

-------------  = -------------------

1 bracelet      9 bracelets

Using cross products

7*9 = 1x

63= x

63 inches

Answer:

Combine the like terms.

9m - 6 is your final answer.

Step-by-step explanation:

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Answer:

-3

Step-by-step explanation:

First, find out the answer to h(1).

h(1) = -3(1) + 2

     = -3 + 2

     = -1

Now plug in the answer in the other equation.

g(-1) = 4(-1) + 1

      = -4 + 1

      = -3

Step-by-step explanation:

\( \underline{ \underline{ \text{Given}} }: \)

\( \underline{ \underline{ \text{To \: find}}} : \)

Let E ( -3 , 2 ) be ( x₁ , y₁ ) & H ( 1 , -1 ) be ( x₂ , y₂ )

\( \underline{ \underline{ \text{Solution}}} : \)

\( \sf{Midpoint = ( \frac{x_{1} + x_{2}}{2} \: , \frac{ y_{1} + y_{2}}{2} )}\)

⟶ \( \sf{( \frac{-3 + 1}{2} \: , \frac{2 + ( - 1)}{2} )}\)

⟶ \( \sf{( \frac{-2}{2} \:, \frac{2 - 1}{2} )}\)

⟶ \( \sf{( -1 \: ,\frac{1}{2} )}\)

\( \pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt{(-1 \: , \: \frac{1}{2} )}}}}}}}\)

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☁️ Answer ☁️

annyeonghaseyo!

Your answer is:

-30 - 40x

Hope it helps.

Have a nice day noona/hyung!~￣▽￣❤️

Answer:

-30-40x

Step-by-step explanation:

its this because when you mutiply -5 x 6 that = -30 and -5 x 8x = -40 x

Step-by-step explanation:

<1 and <2 are adjacent, Supplementary and linear pair angles

The option that describes the graph of the inequality is:

"number line with open circle on point negative 5 and arrow shaded to the left"

Here we have the following inequality:

2.5 < -0.5*x

First, need to isolate the variable which is x, to do that we divide both sides by -0.5

Remember that because we divide by a negative number, we need to change the direction of the inequality.

2.5/-0.5 > -0.5*x/-0.5

-5 > x

The graph of this inequality will be a number line with an open circle at x = -5, and a line that extends to the left of it, because x is smaller than -5.

Thus the correct option is:

"number line with open circle on point negative 5 and arrow shaded to the left"

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Answer: B.

Step-by-step explanation: It's B, -5 with the arrow pointing to the left.

Answer:

she can make 48 cookies.

Answer:

48

Step-by-step explanation:

If you divide 42 by 7 you get 6 so thats how many cookies she baked with one scoop. So then you add 6

Answer:

The anwser is 6.01176470588

The circumference of the children's ball to the nearest centimeter is 52 centimeters.

If a regulation volleyball has a circumference of about 66 centimeters, solve for its radius using the formula for the circumference of a circle given by:

C = 2πr

66 centimeters = 2πr

r = 33/π centimeters

Then, solve for the surface area of this regulation volleyball using the formula given by:

A = 4πr^2

A = 4π(33/π centimeters)^2

A = 4356/π square centimeters

If the ratio of the surface area of that ball to the surface area of a children's ball is approximately 1.6 : 1, then

surface area of regulation volleyball : surface area of a children's ball = 1.6 : 1

surface area of a children's ball = 4356/π square centimeters/1.6

surface area of a children's ball = 2722.5/π square centimeters

If  the children's ball has a surface area of 2722.5/π square centimeters, solve for its radius using the formula for the surface area given by:

A = 4πr^2

2722.5/π square centimeters = 4πr^2

r = 26.0887907/π centimeters

Solving for the circumference:

C = 2πr

C = 2π(26.0887907/π centimeters)

C = 52.17758139 centimeters

Rounding off to the nearest centimeter.

C = 52 centimeters

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The standard form of the equation of the hyperbola with foci at (±5, 0) and asymptotes y = ±4/3x is (x^2 / 9) - (y^2 / 16) = 1.

To find the standard form of the equation of a hyperbola, we need to determine the distances and slopes associated with its foci and asymptotes.

The foci of the hyperbola are given as (±5, 0). The distance between the center (origin) and each focus is denoted by c. In this case, c = 5.

The asymptotes of the hyperbola are represented by the equations y = ±(a / b)x, where a and b are the lengths of the transverse and conjugate axes, respectively. The slopes of the asymptotes are given as ±4/3.

From the given information, we can determine the values of a and b. The distance between the center and each vertex is a, and since the transverse axis is horizontal, a = 5.

Using the relationship a^2 + b^2 = c^2, we can find b: (5^2) + b^2 = (5^2) + (4/3)^2. Solving this equation gives b = 4.

Finally, we can write the standard form of the equation of the hyperbola as (x^2 / a^2) - (y^2 / b^2) = 1. Substituting the values of a and b, we obtain (x^2 / 9) - (y^2 / 16) = 1.

Therefore, the standard form of the equation of the hyperbola is (x^2 / 9) - (y^2 / 16) = 1.

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Answer:

Yes it is a function. It passes the vertical line test. In other words, it is impossible to draw a single vertical line through more than one point on the V shaped graph. Any input leads to exactly one output.

The domain is the set of all real numbers. This is because we can plug in any x value leading to some specific y value. There are no holes or gaps or jumps to indicate we must restrict any given x value. The domain would not be the set of whole numbers only because values between the whole numbers (eg: decimal values like x = 2.75) work just fine.

The range is the set of y values such that y is either 0 or larger than 0. In short, the range is . Notice how any point on the V shaped graph has a y coordinate that is either 0 or larger than 0. It is impossible to get a y value that is negative.

Step-by-step explanation:

Answer:  22% of the pages are filled up

Step-by-step explanation: 900/9= 100 78% of 100 is 78

22+78=100 therefore reaching 100 percent. since 78% is empty that means 22% is being used.

The given statement is: "If a triangle is equiangular, then it is equilateral."

The converse of this statement is obtained by interchanging the hypothesis and the conclusion of the original statement. Therefore, the converse of the given statement is: "If a triangle is equilateral, then it is equiangular."

The contrapositive of the given statement is obtained by negating both the hypothesis and the conclusion of the original statement and then interchanging them. Therefore, the contrapositive of the given statement is: "If a triangle is not equilateral, then it is not equiangular."

In general, the converse of a conditional statement may or may not be true. In this case, the converse is not true because there are triangles that are equilateral but not equiangular.

On the other hand, the contrapositive of a conditional statement is always true when the original statement is true. In this case, the contrapositive is true because any triangle that is not equilateral will also not be equiangular.

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Answer:

6  1/ 4  inches

Step-by-step explanation:

3/4 inch / 3 miles    *   25 miles =   6 1/4 inches

Given:

Interest (I)= $716.67

Total amount = $200,000

Monthly Payment(d) :

Balance of the loan amount after one month:

Balance amount after the first month is $199628

The slope of a line perpendicular to the given line is -2.

The slope of a line parallel to the given line is 1/2.

To find the slopes of lines perpendicular and parallel to the given line, we first need to rewrite the equation in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.

Given equation: 4x - 8y = 5

Rearrange the equation to solve for y:

-8y = -4x + 5

y = (1/2)x - (5/8)

Now that the equation is in slope-intercept form, we can identify the slope of the given line:

m1 = 1/2

For a line to be parallel to the given line, it must have the same slope. So, the slope of a line parallel to this line is:

m_parallel = 1/2

For a line to be perpendicular to the given line, its slope must be the negative reciprocal of the slope of the given line. So, the slope of a line perpendicular to this line is:

m_perpendicular = -1/m1 = -1/(1/2) = -2

Answer:

-18

Step-by-step explanation:

-8 + 70/-7

-8 - 10

-18

The direction in which the maximum rate of change of f occurs at the point (5, 6, -1) is approximately (-0.17, -0.11, -0.98).

To find the maximum rate of change of the function f at the given point (5, 6, -1) and the direction in which it occurs, we can calculate the gradient of f at that point.

The gradient vector represents the direction of maximum increase of the function, and its magnitude represents the rate of change in that direction.

The gradient vector (∇f) of f(x, y, z) = (8x + 5y)/z can be found by taking the partial derivatives with respect to each variable:

∂f/∂x = 8/z

∂f/∂y = 5/z

∂f/∂z = -(8x + 5y)/z^2

Evaluated at the point (5, 6, -1), we have:

∂f/∂x = 8/(-1) = -8

∂f/∂y = 5/(-1) = -5

∂f/∂z = -((8(5) + 5(6))/(-1)^2) = -46

So, the gradient vector (∇f) at the point (5, 6, -1) is (-8, -5, -46).

The maximum rate of change of f at this point is given by the magnitude of the gradient vector:

|∇f| = √((-8)^2 + (-5)^2 + (-46)^2) = √(64 + 25 + 2116) = √2205 = 47.

Therefore, the maximum rate of change of f at the point (5, 6, -1) is 47.

To determine the direction in which this maximum rate of change occurs, we normalize the gradient vector by dividing it by its magnitude:

Direction vector = (∇f) / |∇f| = (-8/47, -5/47, -46/47).

Hence, the direction in which the maximum rate of change of f occurs at the point (5, 6, -1) is approximately (-0.17, -0.11, -0.98).

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Answer:

multiply the other kid's time by 3/4

Step-by-step explanation:

there's some info missing but hope this helps!

Answer:

hewo friend

Step-by-step explanation: