The graph represents the data cost for monthly Internet service for a cell phone.

On a coordinate plane, a graph titled Cell Phone Internet Service shows Gigabytes Used on the x-axis and Monthly Cost in dollars on the y-axis. A piecewise function has 3 lines. The 1st line has a closed circle at (0, 15), continues horizontally at y = 15, then has a closed circle at (2, 15). The 2nd line has an open circle at (2, 20) and then continues up to a closed circle at (6, 40). The 3rd line has an open circle at (6, 50) and then continues horizontally at y = 50.
Which function, C(x), represents the monthly cost in dollars in terms of x, the number of gigabytes used in a month?

C(x) = StartLayout enlarged left-brace 1st Row 1st column 15, 2nd column 0 less-than-or-equal-to x less-than-or-equal-to 2 2nd Row 1st column 5 x + 10, 2nd column 2 less-than x less-than-or-equal-to 6 3rd Row 1st column 50, 2nd column 6 less-than x EndLayout
C(x) = StartLayout enlarged left-brace 1st Row 1st column 15, 2nd column 0 less-than-or-equal-to x less-than 2 2nd Row 1st column 5 x + 20, 2nd column 2 less-than-or-equal-to x less-than 6 3rd Row 1st column 50, 2nd column 6 less-than-or-equal-to x EndLayout
C(x) = StartLayout enlarged left-brace 1st Row 1st column 15x, 2nd column 0 less-than-or-equal-to x less-than-or-equal-to 2 2nd Row 1st column 20 x + 5, 2nd column 2 less-than x less-than-or-equal-to 6 3rd Row 1st column 50 x, 2nd column 6 less-than x EndLayout
C(x) = StartLayout enlarged left-brace 1st Row 1st column 15x, 2nd column 0 less-than-or-equal-to x less-than 2 2nd Row 1st column 5 x + 10, 2nd column 2 less-than-or-equal-to x less-than 6 3rd Row 1st column 50 x, 2nd column 6 less-than-or-equal-to x EndLayout

4.

A slope is the steepness of the line, rise over run, change in y over change in x

A translation is a type of transformation that moves each point in a figure the same distance in the same direction (up, down, left right).

5. reflection on y-axis

6. vertical translation & horizontal translation

7. horizontal translation & vertical stretch

8. vertical translation & Horizontal stretch

9. vertical translation & horizontal translation & reflection over the x-axis & horizontal translation

10. vertical translation & horizontal stretch

HOPE THIS HELPS!

Answer: CDB

Step-by-step explanation: Congruent angles are angles that are identical to each other. For a more in-depth explanation, Congruent angles are basically when two angles "have the same shape and size, or if one has the same shape and size as the mirror image of the other". Out of the choices given, CDB is the most identical to BAC. If you rotate CDB with your mind, you'll notice that you get BAC.

True, perpendicular lines have slopes that are negative reciprocals of one another.

Perpendicular lines are lines that intersect at an angle of 90°. The slopes of two perpendicular lines are negative reciprocals of one another. This implies that if two lines have slopes m1 and m2 and are perpendicular, then the relationship between m1 and m2 is:

m1 × m2 = -1.

A reciprocal is a number that can be divided into one. In the case of a slope, the reciprocal is calculated by flipping the fraction upside down, thus changing the numerator and denominator. Therefore, for two perpendicular lines with slopes m1 and m2:

m2 = -1/m1.

Thus, the slopes of two perpendicular lines are negative reciprocals of one another.

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Answer:

the answer is 107.4

More info

20 percent off

You will pay $71.4 for a item with original price of $89.25 when discounted 20%. In this example, if you buy an item at $89.25 with 20% discount, you will pay 89.25 - 17.85 = 71.4 dollars.

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Step-by-step explanation:

The time taken for Mel to finish mowing the yard if they have 80 minutes is 53 minutes.

It should be noted that this represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.

Given that,

Michael mows = 1/3 of the yards

Mel will cut: 1 - 1/3 = 2/3

Therefore, the time taken for Mel to mow the yard will be:

= 80 × 2/3

= 53 minutes

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After Michael mows ⅓ of the yard, Write a fraction division problem that you can use to find out how long it will take Mel to finish mowing the yard if they have 80 minutes.

The equation to model the data in the table is:

y = 5x

To determine whether the data in the table represents a direct variation or an inverse variation, we need to check if the ratio of y to x is constant.

y/x = 5/1 = 15/3 = 20/4 = 35/7 = 5

Since the ratio of y to x is constant (equal to 5), we can conclude that the data represents a direct variation.

To write an equation to model the data in the table, we can use the general form of a direct variation equation, which is y = kx, where k is the constant of variation.

To find k, we can use any of the given data pairs. Let's use the first pair (x = 1, y = 5):

5 = k(1)

k = 5

Therefore, the equation to model the data in the table is:

y = 5x

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Answer:

C. The radius is 16 feet and the area is 804 square feet

Step-by-step explanation:

In A, it doesn't use the correct unit because it is supposed to say 804 feet square. In B, the diameter would be 50 I think, and again it doesn't say feet square for area. In C, the radius is 16 feet and the area is 804 square feet, so that is correct. In D, it says the diameter is 16 feet, but it had the correct area.

Answer:

-44

Step-by-step explanation:

Answer: -44

Step-by-step explanation: same as 36 + 8 and make the answer negative.

9514 1404 393

Answer:

  $24,164,000

Step-by-step explanation:

The yearly salaries form an arithmetic sequence with a first term of 1700000 and a common difference of 4000.

The sum of n terms of an arithmetic sequence with first term a1 and common difference d is ...

  Sn = (2a1 +d(n -1))(n/2)

For the given numbers, the sum of 14 years' salaries will be ...

  S14 = (2·1,700,000 +4,000(14 -1))(14/2) = 24,164,000

The officer will earn $24,164,000 in a 14-year period.

Clearly, we can see that salary of the officer is in form of Arithmetic progession, where :

And we have to find total salary i.e. \( \tt s_{n} = ?\)

Now, we know that :

\( \large \underline{\boxed{\bf{S_n = \dfrac{n}{2} \Bigg(2a + (n-1) d\Bigg)}}}\)

By substituting values :

\( \tt : \implies S_n = \dfrac{14}{2} \Bigg(2(1700000) + (14-1) (4000)\Bigg)\)

\( \tt : \implies S_n = \cancel{\dfrac{14}{2}} \Bigg(2\times 1700000 + 13 \times 4000\Bigg)\)

\( \tt : \implies S_n = 7 \Bigg(3400000 + 52000\Bigg)\)

\( \tt : \implies S_n = 7 \Bigg(3452000\Bigg)\)

\( \tt : \implies S_n = 7 \times 3452000\)

\( \tt : \implies S_n = 24164000\)

\( \large \underline{\boxed{\bf{S_n = \$ 24,164,000}}}\)

Hence, the total amount of money the officer will earn in 14 years is $ 24,164,000.

Answer:

20

Step-by-step explanation:

5+0.65t=10+0.45t

0.25t=5

t=20

Answer:

35 yards above sea level

Step-by-step explanation:

12 + 38 - 15

50 - 15

35

Answer:

40

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Answer:

The sample means for three samples of 20 are shown in the table.

A 3-column table with 3 rows. Column 1 is labeled Sample with entries Sample 1, Sample 2, Sample 3. Column 2 is labeled Sample Mean with entries 12, 8, 16. Column 3 is labeled Actual mean with entries 10.5, 10.5, 10.5.

Compute the variation of each predicted population mean from the sample means in the tabl

Step-by-step explanation:

Answer:

3x + 5y ≤ 480

Step-by-step explanation:

Let x = number of 15-inch laptops.

Let y = number of 17-inch laptops.

3x + 5y ≤ 480

The answer is 231 inches.

To understand how we arrive at this answer, let's break down the given measurement step by step. We have 6 yards, 3 feet, and 7 inches.

Starting with yards, we know that 1 yard is equal to 3 feet, so 6 yards would be equivalent to 6 * 3 = 18 feet. Adding the 3 feet given, we have a total of 18 + 3 = 21 feet.

Moving on to inches, we know that 1 foot is equal to 12 inches. So, the 21 feet we calculated earlier would be equal to 21 * 12 = 252 inches. Finally, adding the 7 inches given, we get a total of 252 + 7 = 259 inches.

Therefore, 6 yards 3 feet 7 inches is equal to 259 inches.

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Answer is 35cm hope it will help you .

EXPLAINATION: π.r² = 3850 cm²  

⇒ r² = 3850/π = 3850/3,14 ≈ 1225.5

⇒ r = √ 1225.5 ≈ 35 cm

P/s: π ≈ 3.14

ANSWER: r = 35 cm

Ok done. Thank to me :>

In thsi question, the confidence coefficient when the level of significance is 0.03 is C. 0.9700.

In statistics, the confidence coefficient is the complement of the level of significance (α) used in hypothesis testing. The confidence coefficient represents the confidence level or the degree of certainty associated with a confidence interval.

The level of significance, denoted by α, is the probability of rejecting the null hypothesis when it is true. It is typically chosen before conducting a statistical test and determines the critical value or the cutoff point for decision-making.

To find the confidence coefficient, we subtract the level of significance from 1. In this case, the level of significance is 0.03. Subtracting 0.03 from 1 gives us a confidence coefficient of 0.97, which can be written as 0.9700 when rounded to four decimal places.

Therefore, the correct answer is C. 0.9700, which represents the confidence coefficient when the level of significance is 0.03.

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Answer:

1 inch to 20 miles

Step-by-step explanation:

We can conclude that gcd(a, b) divides 15 if and only if there exist integers s and t such that as + bt = 15.

If there are integers s and t such that as + bt = 15, then we can conclude that gcd(a, b) divides 15. This is known as Bézout's identity, which states that for any two integers a and b, there exist integers s and t such that as + bt = gcd(a, b).

To see why this is true, consider the set of all linear combinations of a and b, that is, the set {ax + by : x, y are integers}. This set contains all multiples of gcd(a, b) since gcd(a, b) divides both a and b.

Therefore, gcd(a, b) is the smallest positive integer that can be expressed as a linear combination of a and b.

Now, if as + bt = 15, then 15 is a linear combination of a and b, which means that gcd(a, b) divides 15.

Conversely, if gcd(a, b) divides 15, then we can find integers s and t such that as + bt = gcd(a, b), and we can scale this equation to obtain as' + bt' = 15, where s' = (15/gcd(a, b))s and t' = (15/gcd(a, b))t.

Therefore, we can conclude that gcd(a, b) divides 15 if and only if there exist integers s and t such that as + bt = 15.

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The statement that ,"distribution of sample​ mean(μ) will be normally distributed if sample is obtained from population that is normally​ distributed, regardless of sample size(n)" is True .

What is Normal Distribution ?

A Normal Distribution is a distribution that describes a symmetrical plot of data around the mean value, where width of curve is defined by standard deviation.

the Central Limit Theorem states that , for a normally distributed random variable "X" , with mean "μ" and standard deviation "σ" , the sampling distribution of the sample means with size "n" can be approximated to a normal distribution with mean  and standard deviation  is s = σ/√n   .

So , sample size restriction is only for non normal underlying distribution,

Therefore , by Central Limit Theorem the given statement is True .

The given question is incomplete , the complete question is

The distribution of the sample​ mean (μ), will be normally distributed if the sample is obtained from a population that is normally​ distributed, regardless of the sample size . Is the statement True or False ?

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The equation for split times is 4x= 198.608  and the value of x is 49.652

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

Let x be the split time

all 4 of the split times were the same.

4x= 198.608

=> x= 198.608/4 = 49.652

The equation for split times is 4x= 198.608  and the value of x is 49.652

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Answer:

Divide by 7 on both sides

Step-by-step explanation:

7x is a coefficient so you divide by 7

Let's call our first integer x and our second integer, x + 1.

Sine there sum is 41, that means that x + (x + 1) = 41.

Simplifying on the left, we have 2x + 1 = 41.

Now subtract 1 from both sides to get 2x = 40.

Now divide both sides by 2 and x = 20.

So our first integer is 20 and our second

integer is x + 1  or 20 + 1 which is 21.

The integers are 20 and 21.

Answer:

20 and 21

Step-by-step explanation:

X is the first integer, and let Y be the second.
X + Y must be 41, but Y must also be X + 1.
2x has to equal 40 if that's the case

Therefore X must be 20.
And Y must be 20 + 1 which is 21.
20 + 21 = 41.

There are approximately 11.25 cups of granulated sugar in a 5 pound bag.

To determine the number of cups of granulated sugar in a 5 pound bag, we can use the conversion factor of 2.25 cups per pound.

First, we multiply the number of pounds (5) by the conversion factor:

5 pounds * 2.25 cups/pound = 11.25 cups

Therefore, there are approximately 11.25 cups of granulated sugar in a 5 pound bag.

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Answer: −50x2+2

Step-by-step explanation:

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Answer:

don't forget to give me brainest

star, like.

this is the correct solution.

When conducting a t-test for independent means, the best way to reduce variance is to use a control group.

When conducting a t-test for independent means, the best way to reduce variance is to use a control group. Control groups can help reduce variance by ensuring that both groups are exposed to the same conditions, except for the variable being tested. By controlling for all other factors, researchers can isolate the impact of the variable under investigation, which in turn can reduce the variance in the results.

When conducting a t-test for independent means, a control group is typically used to test the effect of a particular treatment or intervention. The control group is exposed to the same conditions as the experimental group, except for the variable being tested. By ensuring that both groups are exposed to the same conditions, researchers can control for other factors that could affect the results of the test.

In conclusion, when conducting a t-test for independent means, the best way to reduce variance is to use a control group. The control group can help control for all other factors except for the variable being tested, which in turn can reduce variance in the results.

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For the given problem, the integral of \(\frac{1}{\sqrt{a^2-x^2}}\)  is  \($\sin^{-1}\frac{x}{a} + C$.\)

A mathematical notion that depicts the area under a curve or the accumulation of a quantity over an interval is known as an integral. Integrals are used in calculus to calculate the total amount of a quantity given its rate of change.

The process of locating an integral is known as integration. Finding an antiderivative (also known as an indefinite integral) of a function, which is a function whose derivative is the original function, is what integration is all about. The antiderivative of a function is not unique since it might differ by an integration constant.

For given problem,

\($\int \frac{1}{\sqrt{a^2-x^2}} dx$\)

Let \($x = a \sin\theta$\) , then \($dx = a \cos\theta d\theta$\)

\($= \int \frac{1}{\sqrt{a^2-a^2\sin^2\theta}} a\cos\theta d\theta$\)

\($= \int \frac{1}{\sqrt{a^2\cos^2\theta}} a\cos\theta d\theta$\)

\($= \int d\theta$\)

\($= \theta + C$\)

Substituting back for\($x = a\sin\theta$:\)

\($= \sin^{-1}\frac{x}{a} + C$\)

Therefore, the integral of \(\frac{1}{\sqrt{a^2-x^2}}\) is \($\sin^{-1}\frac{x}{a} + C$.\)

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