can someone please help with this!

Answer:

A.  A'(32, 16) B'(48, 16) C'(64, 48)

Step-by-step explanation:

Dilation is a transformation in geometry that changes the size of a figure while preserving its shape. It involves multiplying the coordinates of each point by a scale factor relative to a fixed center of dilation to create a new figure that is either larger or smaller than the original. The center of dilation serves as the fixed point around which the figure is expanded or contracted.

To dilate a figure where the center of dilation is the origin (0, 0), simply multiply each coordinate point by the scale factor.

In this case, as we have not been given a center of dilation, so we can assume it is the origin. The given scale factor is 4.

Given coordinates of the vertices of triangle ABC:

To find the new coordinates after dilation with the origin as the center of dilation, multiply each coordinate point by the scale factor of 4.

A' = (8 · 4, 4 · 4) = (32, 16)

B' = (12 · 4, 4 · 4) = (48, 16)

C' = (16 · 4, 12 · 4) = (64, 48)

Therefore, the new coordinates of the dilated triangle are:

Answer:  3.94 miles

Step-by-step explanation: To find the length of the mountain road, we use the tangent function. The opposite side is the altitude of the car (3,850 ft) and the adjacent side is the length of the mountain road. We solve for the adjacent side and convert from feet to miles.

Therefore, the length of the mountain road is approximately 3.94 miles.

Answer:

$12

Step-by-step explanation:

3 cars divide that by $18 and u get $6 per car. multiply that by two cars nd you get $12.

Answer:

A

Step-by-step explanation:

The statement which is true regarding the composition of F(G(x)) is :

The function F(G(x)) depends on G(x).

This is because only depending on G(x) the value of the whole function can change.

Answer:

its c beacuse when you divide a by 6 you get tbe value of gx

(a) The diver hit the water after 2.5 seconds

(b) The diver hit the water with a velocity of 80 ft/s

Since the cliff diver plunges from a height of 100 ft above the water surface and the distance the diver falls in seconds is given by the function d(t) = 16t². We can say d(t) = 100ft. So we have:

d(t) = 16t² = 100

t² = 100/16

t² = √(100/16)

t = 10/4

t = 2.5 seconds

The derivative of the distance will give us the velocity. That is:

v(t) = d'(t) = 32t

Substitute t =2.5  into v(t):

v(2.5) = 32(2.5)

v(2.5) = 80 ft/s

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The slope and the y-intercept of the line y = 4x + 5 are given as follows:

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:

The function for this problem is given as follows:

y = 4x + 5.

Hence the slope and the intercept are given as follows:

The problem asks for the slope and the intercept of y = 4x + 5.

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We can write k(x) as the composition of g(x) and f(x).

k(x) = g(f(x))

A composition of two functions means that we need to evaluate one function in the other one.

Here we have the functions:

f(x)=  x²

g(x) = √(x - 1)

h(x) = 2x + 3

And we know that:

k(x) = √(x² - 1)

So we have a square root, then we need to evaluate g(x), and the argument is a square, then we need to evaluate in f(x), the composition is:

k(x) = g(f(x))

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Answer:

The answer is B. they are congruent because they are a pair of corresponding angles.

Answer:

B)

Step-by-step explanation:

Angles 1 and two are corresponding angles, because if you were to move the top line down, the two angles would be in the exact same spot.

i think its answer is 7/8

Answer:

it is a linear function

Step-by-step explanation:

r = 8

See explanation below

a) -3(6 - r) = 6

To get the corect solution, we solve the expression

The first thing we do, is to expand the parenthesis:

-3 × 6 -3 × -r = 6

Multiplication of same sign gives positive number. Multiplication of opposite signs give negative number.

-18 + 3r = 6

collect like terms by adding 18 to both sides:

-18 + 18 + 3r = 6 + 18

3r = 24

divide both sides by 3:

3r/3 = 24/3

r = 8

b) The error was in the multiplication. When -3 was multiplied by -r, it was written as -3r instead of 3r. This affected the workings and the final answer.

Answer:

there are two numbers that are as twice as far from 13 as they are from 22. THose two numbers are give answer now

Answer:

53

Step-by-step explanation:

I said so

Answer:

40

Step-by-step explanation:

plugging in a and b will get us:

\(2^{2} + 6^{2} = c^{2}\)

4 + 36 = \(c^{2}\)

40 = \(c^{2}\)

c= \(\sqrt{40\\\)

Check the picture below.

\(\textit{volume of a pyramid}\\\\ V=\cfrac{Bh}{3} ~~ \begin{cases} B=\stackrel{base's}{area}\\ h=height\\[-0.5em] \hrulefill\\ B=\stackrel{7\times 7}{49}\\ V=82 \end{cases}\implies \begin{array}{llll} 82=\cfrac{49h}{3}\implies 246=49h\implies \cfrac{246}{49}=h \\\\\\ 5.02\approx h \end{array}\)

Answer: B

Step-by-step explanation: 14 1/5 - 2 5/6 =11 11/30

rounded is 11

The function given as f(x) = (x² - 16)/(6x - 24) is discontinuous at x = 4

We are given the function as;

f(x) = (x² - 16)/(6x - 24)

We have to find the discontinuities of the function.

Now, the denominator 6x - 24 becomes 0 when x = 4.

This means that when x = 4, the function now becomes undefined.

Therefore, we can say that there is a discontinuity at x=4

However, this discontinuity can be removed due to the fact that we have x = 4 in the numerator.

But despite the above, it is still discontinuous at that value of x.

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Answer: 26/3 or 8 2/3

Step-by-step explanation:

In the addition or subtraction of fraction, first, you have to convert all of them into improper fraction if they are mixed; then, you need to find the LCD (Least Common Denominator).

Converting fraction:

5 3/4=23/4

2 11/12=35/12

Finding LCD:

4 and 12 is 12

Converting fraction into common denominator:

23/4=69/12

35/12=35/12

Solve:

 5 3/4 + 2 11/12

=69/12 + 35/12

=104/12

Answer:

X is equal to or less than 2

X ≥ 2

Step-by-step explanation:

For the function  f(x) = 2x + 3 the third iterate x₃  is 37

To find the third iterate, x3, of the function f(x) = 2x + 3, given an initial value of x₀ = 2,

we can apply the function repeatedly.

Starting with x₀ = 2:

x₁ = f(x₀)

= 2(2) + 3

= 7

x₂ = f(x₁)

= 2(7) + 3 = 17

x₃ = f(x₂)

= 2(17) + 3

= 37

Therefore, the third iterate x₃  is 37.

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Answer:

x=11.34

Step-by-step explanation:

In the scenario described, the standard deviation would be 2.74.

A measurement of a data set's deviation from the mean is referred to as "standard deviation".

Whereas a high standard deviation indicates that the data are more spread, a low standard deviation suggests that the data are clustered around the mean.

It displays the standard deviation of each score with respect to the mean.

A high standard deviation in a normal distribution indicates that values are frequently outside of the mean, whereas a low standard deviation indicates that values are clustered closely around the mean.

The standard deviation formula is as follows:

standard deviation = √np(1-p)

Assuming that p = 0.75 and n = 40, the following is the standard deviation:

standard deviation = √np(1-p)

standard deviation = √(40)(0.75)(1-0.75)

standard deviation = 2.74

Therefore, in the scenario described, the standard deviation would be 2.74.

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Complete question:

Assume that hybridization experiments are conducted with peas having the property that for offspring, there is a 0.75 probability that a pea has green pods. Assume that the offspring peas are randomly selected in groups of 40.

What is the standard deviation?

Refer to the images attached. Now I am guessing when it says "use geometry" was to graph it? I wasn't completely sure. I attached how I would normally evaluate that problem and a graph of the piecewise function. It has been a while since I have dealt with integrating piecewise function, please let me know what process you were supposed to use if you figure it out. Hope this helps you a bit, have a good one!

Answer:Interquartile Range (IQR) ... IQR: Step 1: Put the data in order from least to greatest. ... If the number of data points is even, the median is the average of the middle two data points. ... The first quartile is the median of the data points to the left of the median in the ... Is it possible for the IQR to be less than the given data points?

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

68%

Step-by-step explanation:

Given that:

Mean speed (m) = 46

Standard deviation (s) = 13

Approximately what percentage of vehicle speeds were between 33 and 59 mph

Obtain the Zscore for P(Z < x) for both values and subtract :

For x = 33

Zscore :

Z = (x - m) / s

Z = (33 - 46) / 13 = - 1

p(Z < - 1) = 0.15866 ( Z probability calculator)

For x = 59

Zscore :

Z = (x - m) / s

Z = (59 - 46) / 13 = 1

p(Z < 1) = 0.84134 ( Z probability calculator)

Hence, 0.84134 - 0.15866 = 0.68268 = 0.68

0.68 * 100% = 68%

Account balance of Ginny after withdrawal = $ 20 .

Given : Ginny's account balance before withdrawal ie . $ 40

            Her withdrawal amount ie . $ 20

To find : account balance after withdrawal

Calculation : Opening balance = $ 40 ie . initially Ginny had $ 40 .

After withdrawal ( taking out ) of $ 20 ,

Ginny has 40 - 20 = $ 20 left .

After adjustment , final amount = $ 20 .

Therefore , account balance of Ginny after withdrawal = $ 20 .

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