What is the effect on the graph of f(x) = x² when it is transformed to
h(x) = 5x² + 10?

A. The graph of f(x) is vertically stretched by a factor of 5 and shifted 10 units up.

B. The graph of f(x) is horizontally compressed by a factor of 5 and
shifted 10 units to the left.

C. The graph of f(x) is horizontally stretched by a factor of 5 and
shifted 10 units up.

D. The graph of f(x) is vertically stretched by a factor of 5 and shifted 10 units to the left.

Answer:

a 49/64

Step-by-step explanation:

7/8 multiply 7 ×7 = 49 then 8×8 is 64 so yeah a

For  Sky View School mean is 7.933, median is 6, mode is 5

For Riverside School  mean is 8, median is 6.5, mode is 5

To calculate the measures of center, we can find the mean, median, and mode of each set of data.

For Sky View School:

Mean=119/15 = 7.933

Median: To find the median, we need to put the class sizes in order from smallest to largest.

0, 0, 1, 2, 3, 4, 5, 5, 5, 6, 6, 7, 8, 9, 9

The median is the middle value, which is 6.

Mode: The mode is the most common class size. In this case, the mode is 5.

For Riverside School:

Mean =120/15

= 8

Median:

0, 0, 1, 2, 2, 3, 4, 5, 5, 6, 7, 7, 8, 8, 10

The median is the average of the two middle values, which is 6.5

Mode: The mode is 5.

Part B:

To calculate the measures of variability, we can find the range and interquartile range (IQR) for each set of data.

For Sky View School:

Range: The range is the difference between the largest and smallest values.

$Range = 9 - 0 = 9$

IQR: To find the IQR, we first need to find the first quartile (Q1) and third quartile (Q3)

0, 0, 1, 2, 3, 4, 5, 5, 5 | 6, 6, 7, 8, 9, 9

Q1 is the median of the lower half, which is 3.

Q3 is the median of the upper half, which is 8.

IQR = Q3 - Q1 = 8 - 3 = 5

For Riverside School:

Range = 10 - 2 = 8$

IQR

Q1 is the median of the lower half, which is 2.

Q3 is the median of the upper half, which is 8.

IQR = Q3 - Q1 = 8 - 2 = 6

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Answer:

1

Step-by-step explanation:

The slope of the perpendicular is the negative inverse of the slope of the line.

m = -1 / (-⅓)

m = 3

The slope between the two points is 3, so:

3 = (15 − 6) / (4 − n)

3 (4 − n) = 9

4 − n = 3

n = 1

Answer:

1. 5 times

2. 10 times

Step-by-step explanation:

1. Here, we want to know the number of times the population of town B is greater than the population of town A

The simple thing to do here is to divide the population of town B by the population of town A

From the question; population of town B is 2 * 10^5 while the population of town A is 4 * 10^4

So the number of times greater will be;

(2 * 10^5) / (4 * 10^4) = 5

So population of town B is 5 times greater

2. Just like the first question, to know the number of times, we simply divide the mass of object A by the mass of object B

That will be;

(4 * 10^-3) / (4 * 10^-4) = 10 times

So therefore object A is 10 times larger than object B

The entire trip will take 6 days.

(Encircle this answer, as said on the directions)

Step-by-step explanation:

We know that the first three days of the trip, we traveled 1380 miles.

Find the UNIT RATE of MILES PER day:

1380/3 = 460

Unit rate = 460 miles per day

If we were to drive at this (460 mi per day) rate EACH day and the whole journey takes 2760 miles across the country.

FInd the NUMBER of DAYS of the ENTIRE TRIP:

2760/460 = 6

It will take us 6 days to drive to the destination.

It should be noted that mathematics is multicultural. This implies that mathematics applies to different cultures.

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Answer:

z = -8

Step-by-step explanation:

I'm guessing you want to find out what z is equal to, so here you go.

2z - 1 = -9 + z

2z = -8 + z

z = -8

Answer:

z = -8

Step-by-step explanation:

let's simplify the equation by getting the like terms together.

2z-1 = -9+z

first get the z's on the same side:

2z-z-1 = -9

z-1 = 9

then the constants:

z = -9+1

z = -8

Answer:

2^4 = 16miles

2^8 = 256hrs

Step-by-step explanation:

16*256=4096

2^12=4096

so you answer is 2^12

Answer:

56

Step-by-step explanation:

its common sense

Answer:

E) (6)

Step-by-step explanation:

If you used rule of x^2/x^3 x cosh = x/100

You would contine this by using radionuklider thereom, you would obtain x/100=600. If this is further simplified tou would find the x=6, therefore y=18 accordingly.

The statements that are TRUE regarding the box plots are:

A, D, and E.

The box plots are given in the image attached below.

The values displayed by a box plot for a given data are:

Interquartile range = Third Quartile - First Quartile.

Thus, shelter's A median is 21, shelter B's 18.

Interquartile range for shelter A = 28 - 8 = 20

Interquartile range for shelter B = 28 - 10 = 18

Therefore, the statements that are TRUE regarding the box plots are:

A, D, and E.

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Answer:

x = 500/81

Step-by-step explanation:

Answer:

x:(-1,0),(5,0)

y:(0,-2)

Answer:

see explanation

Step-by-step explanation:

The x- intercepts are where the graph crosses the x- axis

The graph crosses the x- axis at x = - 1 and x = 5 ← x- intercepts

The y- intercept is where the graph crosses the y- axis

The graph crosses the y- axis at - 2 ← y- intercept

Step-by-step explanation:

-5x+2y= 4         <==== Multiply entire equation by -3 to get:

15x-6y = -12  

2x+3y= 6          <====  Multiply entire equation by 2 to get :

4x+6y = 12    Add the two underlined equations to eliminate 'y'

19x = 0     so x = 0

sub in x = 0 into any of the equations to find:  y = 2

(0,2)

Answer:

110

Step-by-step explanation:

Rate or proportion shows the relationship between the variation in the  number of two variables.

Given that the ratio of alternative songs to total songs is 9:14.

Total songs = 308

Since the to every 14 total songs, there is 9 alternative songs.

Thus,

Number of alternative songs = \(\frac{9}{14}\) x 308

                                                = 198

There are 198 alternative songs in the music library.

The number of songs that are NOT alternative songs = 308 - 198

                                                                                         = 110

Thus, there are 110 songs that are NOT alternative songs.

Answer:

Hence the expression \($$(3r-8)(11r+1)=33r^2-85r-8$$\).

Step-by-step explanation:

Explanation

\($$\frac{\begin{matrix}{} & {} & 3r & - & 8 \\ \times & {} & 11r & + & 1 \\ \end{matrix}}\)

___________

\({\frac{\begin{matrix}{} & {} & 3r & - & 8 \\ 33{{r}^2} & - & 88r & {} & {} \\ \end{matrix}}{\begin{matrix}33{{r}^2} & - & 85r & - & 8 \\ \end{matrix}}}$$\)

Answer:

(# - 5) x 2

or

(# - 5) 2

I think it should look Iike this but I might be wrong.

The probability of selecting two kings, a king and a queen (order does not matter), or two queens is 14/663.

Given that a deck of cards is used, with replacement.

Therefore, the probability of selecting any card is the same for all the cards. Also, we need to find the probability of selecting two kings, a king and a queen (order does not matter), or two queens.

Let us consider each case separately.

Case 1:

Two Kings Two kings can be selected from a deck of cards in C(4, 2) ways.

The total number of ways of selecting two cards is C(52, 2). Hence, the probability of selecting two kings is:

P(King and King) = C(4, 2) / C(52, 2)

                            = (6 x 1) / (52 x 51)

                            = 6 / 1326.

Case 2:

A King and a Queen.

A king and a queen can be selected in 4 x 4 = 16 ways. The total number of ways of selecting two cards is C(52, 2).

Hence, the probability of selecting a king and a queen is:

P(King and Queen) = 16 / C(52, 2)

                                = (16 x 1) / (52 x 51)

                                = 16 / 1326.

Case 3:

Two Queens Two queens can be selected in C(4, 2) ways. The total number of ways of selecting two cards is C(52, 2).

Hence, the probability of selecting two queens is:

P(Queen and Queen) = C(4, 2) / C(52, 2)

                                    = (6 x 1) / (52 x 51)

                                    = 6 / 1326.

Therefore, the probability of selecting two kings, a king and a queen (order does not matter), or two queens is:

P(Two Kings or King and Queen or Two Queens)

= 6 / 1326 + 16 / 1326 + 6 / 1326

= 28 / 1326

= 14 / 663.

Hence, the probability of selecting two kings, a king and a queen (order does not matter), or two queens is 14/663.

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Answer:

Step-by-step explanation:

1/2b×h

Answer:

L x w / 2 or L x w x 1/2

Step-by-step explanation:

Btw the area to that problem is 15 I think

Answer:

28(27)(26) assuming that nobody can get multiple designations.

Step-by-step explanation:

Answer: Unclear

Step-by-step explanation: I can't see your image/sentence, so I can't help u

The first step to solve the equation 3x/5 + 5 = 20,

3x/5 + 5 - 5 = 20 - 5

3x/5 (5/3) = 15 (5/3)

is known as Subtraction property of equality, So option B is correct.

It is a property of mathematics, in which we subtract the same number on both the sides of any equation.

for example, ax+b = c  ⇒ ax+b-5 = c-5

Given math equation,

3x/5 + 5  = 20

here we apply, Subtraction property of equality

So, we are subtracting -5 both the sides

3x/5 + 5 - 5 = 20 - 5

Hence, Used property is subtraction property of equality

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Answer:

yuuu7

Step-by-step explanation:

you know what to do with a different person and you know what to do with a different person 3³333 you know what to do with a different person and you know what to do

The area of the region enclosed by one loop of the curve r = sin(10θ) is π/40.

We have to find the area of the region enclosed by one loop of the curve.

The given curve is:

r = sin(10θ)

Consider the region r = sin(10θ)

The area of region bounded by the curve r = f(θ) in the sector a ≤ θ ≤ b is

A = \(\int^{b}_{a}\frac{1}{2}r^2d\theta\)

Now to find the area of the region enclosed by one loop of the curve, we have to find the limit by setting r=0.

sin(10θ) = 0

sin(10θ) = sin0   or    sin(10θ) = sinπ

So θ = 0             or      θ = π/10

Hence, the limit of θ is 0 ≤ θ ≤ π/10.

Now the area of the required region is

A = \(\int^{\pi/10}_{0}\frac{1}{2}(\sin10\theta)^2d\theta\)

A = \(\frac{1}{2}\int^{\pi/10}_{0}\sin^{2}10\theta d\theta\)

A = \(\frac{1}{2}\int^{\pi/10}_{0}\frac{(1-\cos20\theta)}{2}d\theta\)

A = \(\frac{1}{4}\int^{\pi/10}_{0}(1-\cos20\theta)d\theta\)

A = \(\frac{1}{4}\left[(\theta-\frac{1}{20}\sin20\theta)\right]^{\pi/10}_{0}\)

A = \(\frac{1}{4}\left[(\frac{\pi}{10}-\frac{1}{20}\sin20\frac{\pi}{10})-(0-\frac{1}{20}\sin20\cdot0)\right]\)

A = \(\frac{1}{4}\left[(\frac{\pi}{10}-\frac{1}{20}\sin2\pi)-(0-\sin0)\right]\)

A = 1/4[(π/10-0)-(0-0)]

A = 1/4(π/10)

A = π/40

Hence, the area of the region enclosed by one loop of the curve r = sin(10θ) is π/40.

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Answer:

The probability that the individual has the disease is 1/500

Step-by-step explanation:

i found the fraction of 1 in 500 which is 1/500, hope this helps :)

The 100 containers that the quality control division of Rothschild's Blueberry Farm randomly inspects.

Population: The containers of blueberries that are being sent to Stop and Shop.

Sample: The 100 containers that the quality control division of Rothschild's Blueberry Farm randomly inspects.

Therefore, the 100 containers that the quality control division of Rothschild's Blueberry Farm randomly inspects.

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John is likely to choose a root beer from the cooler 5/27 times, or 18.5% of the time.

p(root beer)=5/27=18.5%

John is likely to choose a root beer from the cooler 5/27 times, or 18.5% of the time. Divide the number of root beers in the cooler (five) by the total number of things in the cooler to arrive at this calculation (27). In this instance, the cooler is filled with 12 Coke cans, 10 water bottles, and 5 root beers. Hence, there are 27 things in the cooler, and the likelihood that John will choose a root beer is 5/27. By dividing the fraction by 100, this figure can be stated as a percentage, giving the answer of 18.5%.Hence, John has an 18.5% chance of grabbing a root beer from the cooler.

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If you still need help just respond, I'll type it out

The local maximum and minimum values of the function are as follows: maximum at (smaller x value), minimum at (larger x value), and there are no saddle points.

To find the local maximum and minimum values of the function, we need to analyze its critical points, which occur where the partial derivatives are equal to zero or do not exist.

Let's denote the function as f(x, y) = -8 - 2x + 4y - x^2 - 4y^2. Taking the partial derivatives with respect to x and y, we have:

∂f/∂x = -2 - 2x

∂f/∂y = 4 - 8y

To find critical points, we set both partial derivatives to zero and solve the resulting system of equations. From ∂f/∂x = -2 - 2x = 0, we obtain x = -1. From ∂f/∂y = 4 - 8y = 0, we find y = 1/2.

Substituting these values back into the function, we get f(-1, 1/2) = -9/2. Thus, we have a local minimum at (x, y) = (-1, 1/2).

There are no other critical points, which means there are no local maximums or saddle points. Therefore, the function has a local minimum at (x, y) = (-1, 1/2) but does not have any local maximums or saddle points.

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The lines y = 2 and x = 4 are neither parallel nor perpendicular.

The given lines are y = 2 and x = 4.

The line y = 2 is a horizontal line because the value of y remains constant at 2, regardless of the value of x. This means that all points on the line have the same y-coordinate.

On the other hand, the line x = 4 is a vertical line because the value of x remains constant at 4, regardless of the value of y. This means that all points on the line have the same x-coordinate.

Since the slope of a horizontal line is 0 and the slope of a vertical line is undefined, we can determine that the slopes of these lines are not equal. Therefore, the lines y = 2 and x = 4 are neither parallel nor perpendicular.

Parallel lines have the same slope, indicating that they maintain a consistent distance from each other and never intersect. Perpendicular lines have slopes that are negative reciprocals of each other, forming right angles when they intersect.

In this case, the line y = 2 is parallel to the x-axis and the line x = 4 is parallel to the y-axis. Since the x-axis and y-axis are perpendicular to each other, we might intuitively think that these lines are perpendicular. However, perpendicularity is based on the slopes of the lines, and in this case, the slopes are undefined and 0, which are not negative reciprocals.

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Answer:

Srue what's your question

Step-by-step explanation:

Answer: 3rd answer, 3rd ten, adding was wrong.

Step-by-step explanation:

Just look at it, do the problem, and go back and forth. The answer choices weren't hard.