69
% of
102.16
m
Give your answer rounded to 2 DP.

The new function g(x) which is equal to f(2x) will be stretched or compressed by the factor 2.

It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function f(x) shown in the coordinate plane.

The function g(x) = f(2x)

As we can see in the new function g(x) it is the transformation of the f(x).

Transformation is applied as below:

x → 2x   (x is replaced by the twice of it)

= f(x)

= f(2x)

= g(x)

When the function is multiplied by a positive number it will be stretched or compressed according to that factor vertically and in the given function the factor is 2 which means the g(x) will be stretched or compressed according to that factor.

Thus, the new function g(x) which is equal to f(2x) will be stretched or compressed by the factor 2.

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Step-by-step explanation:

7! = 5040 ways

Answer:

x=7

z=79

Step-by-step explanation:

13x+10=101

13x=91

x=7

180-101=79

Answer:

40 is 250% of 16.

Step-by-step explanation:

Let x be the unknown number.

Then we can write the proportion:

40 / x = 250 / 100

To solve for x, we can cross-multiply and simplify:

40 * 100 = 250 * x

4000 = 250x

x = 4000 / 250

x = 16

Therefore, 40 is 250% of 16.

well, that number is really "x", which oddly enough is the 100%, now, we also know that 40 is 250% of "x", hmmm

\(\begin{array}{ccll} Amount&\%\\ \cline{1-2} x & 100\\ 40& 250 \end{array} \implies \cfrac{x}{40}~~=~~\cfrac{100}{250} \\\\\\ \cfrac{ x }{ 40 } ~~=~~ \cfrac{ 2 }{ 5 }\implies 5x=80\implies x=\cfrac{80}{5}\implies x=16\)

Answer:

0.245

Step-by-step explanation:

24/1/2%=24.5%

=0.245

Answer:

Hi,

In a square, all sides are equal.

The area is obtained by multiplying one side by another side.

So, A = L^2

A = Area

L = length of a side

24ft^2 = L^2

L = square root(24) = 4.9

L = 4.9

We can say x^2 = 24

And the length of one side is therefore 4.9

Answer:

The answer is A.

Step-by-step explanation:

For this graph, you are using the linear equation formula: y = mx + b

Answer:

first and third expressions

Step-by-step explanation:

using the rule of exponents

\(\frac{a^{m} }{a^{n} }\) = \(a^{m-n}\)

then

\(\frac{3^{\frac{4}{9} } }{3^{\frac{2}{9} } }\)

= \(3^{\frac{4}{9}-\frac{2}{9} }\) ← first expression

= \(3^{\frac{2}{9} }\) ← third expression

The present value needed to get $110 after 1 1/4 years at 4% compounded continuously is about $102.79.

We will use the continuous compound interest formula:

\(A = Pe^{(rt)\)

Wherein

Substituting the given values, we've got:

\(110 = Pe^{(0.04*1.25)\)

Simplifying, we get:

\(110 = Pe^{0.05\)

Dividing each sides by using \(e^{0.05\), we've got:

\(P = 110/e^{0.05\)

Using a calculator, we get:

\(P \approx $102.79\)

consequently, the present value needed to get $110 after 1 1/4 years at 4% compounded continuously is about $102.79.

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The 7th term of an Arithmetic Progression 50+45+40 is 20

The Arithmetic Progression is given as:

50+45+40

In the above Arithmetic Progression, we have

First term, a= 50

Common difference, d = 45 - 50 = -5

The nth term of the Arithmetic Progression is calculated as:

Tn = a + (n - 1)d

Substitute the known values in the above equation

Tn = 50 + (n - 1) * -5

Substitute 7 for n in the above equation

Tn = 50 + (7 - 1) * -5

Evaluate the product

Tn = 50 - 30

Evaluate the difference

T7 = 20

Hence, the 7th term of an Arithmetic Progression 50+45+40 is 20

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Answer:

t=28

Step-by-step explanation:

20=4(t/4-2)

open bracket

20=t-8

20+8=t

28=t

Answer:49 miles per hour

Step-by-step explanation: 14 miles times 35 miles = 490

but the 0 will not matter so steve was going 49 miles per hour

HOPE THIS HELPS YOU:)

1. Andy's oldest daughter ate the most pizza. She ate the entire personal pizza, which is 10 inches in diameter

2. If the company offered an extra large pizza, you could find out how much of it a person ate if they cut their own piece with a central angle of M°

Andy's oldest daughter ate the most pizza. She ate the entire personal pizza, which is 10 inches in diameter. This means that she ate 100% of the pizza. Andy's wife ate 2/6 of the small pizza, which is 12 inches in diameter. This means that she ate 1/3 of the pizza. Andy's younger daughter ate 1/8 of the medium pizza, which is 14 inches in diameter.

This means that she ate 12.5% of the pizza. Andy cut himself a piece that had a central angle of 180° from the large pizza, which is 16 inches in diameter. This means that he ate 50% of the pizza.

The least amount of pizza was eaten by Andy's younger daughter. She only ate 1/8 of the medium pizza.

2. If the company offered an extra large pizza, you could find out how much of it a person ate if they cut their own piece with a central angle of M° by using the following formula:

Percentage of pizza eaten = (M° / 360°) * 100%

For example, if a person cut themselves a piece of an extra large pizza with a central angle of 180°, they would have eaten 50% of the pizza.

Percentage of pizza eaten = (180° / 360°) * 100% = 50%

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Answer:

I thin its b.

Step-by-step explanation:

Solve the following inequality:

As a first step we are going to add 3 to both sides:

Then, we need to solve absolute value:

Now, for the first inequality:

For the second inequality:

The solution set would be, x≤4 and x≥−3, to represent on the number line:

We can integrate this S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

We have,

To find the surface area of the revolution about the x-axis of the function f(x) = 5√x over the interval (1.1 to 4.4), we can use the formula for the surface area of revolution:

S = ∫(a to b) 2πy√(1 + (f'(x))²) dx

In this case,

f(x) = 5√x, so f'(x) = (d/dx)(5√x) = 5/(2√x).

Let's calculate the surface area:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + (5/(2√x)²) dx

Simplifying the expression inside the integral:

S = ∫(1.1 to 4.4) x 2π(5√x)√(1 + 25/(4x)) dx

Next, we can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

To find the surface area of revolution about the x-axis of the function

f(x) = 5√x over the interval (1.1 to 4.4), we need to evaluate the integral:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + 25/(4x)) dx

Let's calculate the integral:

S = 2π ∫(1.1 to 4.4) (5√x)√(1 + 25/(4x)) dx

To simplify the calculation, let's simplify the expression inside the integral first:

S = 2π ∫(1.1 to 4.4) (5√x)√((4x + 25)/(4x)) dx

Next, we can distribute the square root and simplify further:

S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx

Thus,

We can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

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Answer:

9-3m

Step-by-step explanation:

m and -4m are like terms, combining them yields (1m-4m) which is -3m. The 9 is a constant.

Answer:

7x is monomial according to question.

Answer: im sorry you got scamed :(  but heres the answer the answer is C! Min: 30, Q1: 44, Median: 60, Q3: 70, Max: 82

Step-by-step explanation:

How do i know this? well if you look at the box plot it shows you that! it shows a tick on 30, 44, 60, 70 and 82 to its corresponding quartiles. and answer C is the only one that shows this. therefore the answer is C!

Answer:

one solution

x= 4.8

Answer:

520 feet

Step-by-step explanation:

The easiest way to visualize this problem is to sketch a quick diagram.

For this problem, you are given an angle and the length of the side of a triangle. If you look at the diagram, you'll see that the length given is the opposite side of the angle given. For this situation, that means you will use the sine function (refer to SOH-CAH-TOA acronym). Then you plug in the given values and solve for x.

Hope this helps!

Answer:

6 months per books it's the answer

Answer:

210

Step-by-step explanation:

Just plug in for X and Y and solve the equation.

2(2+1)-7(-3-2)=k

2(3)-7(-5)=k

(6)(35)=k

210=k

The probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213 is approximately 0.9702.

To find the probability that a single randomly selected value is between 189.7 and 213, we can use the standard normal distribution.

Step 1: Calculate the z-scores for the given values using the formula:

  z = (x - μ) / σ

  For 189.7:

  z1 = (189.7 - 189.7) / 96.7 = 0

  For 213:

  z2 = (213 - 189.7) / 96.7 ≈ 0.2417

Step 2: Utilize a standard typical conveyance table or number cruncher to find the probabilities comparing to the z-scores.

  P(189.7 < X < 213) = P(0 < Z < 0.2417) ≈ 0.0939

Therefore, the probability that a single randomly selected value is between 189.7 and 213 is approximately 0.0939.

To find the probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213, we use the central limit theorem. Under specific circumstances, the testing dispersion of the example mean methodologies a typical conveyance

Step 1: Calculate the standard error of the mean (σ_m) using the formula:

  σ_m = σ / sqrt(n)

  σ_m = 96.7 / sqrt(62) ≈ 12.2878

Step 2: Convert the given qualities to z-scores utilizing the equation:

  z = (x - μ) / σ_m

  For 189.7:

  z1 = (189.7 - 189.7) / 12.2878 = 0

  For 213:

  z2 = (213 - 189.7) / 12.2878 ≈ 1.8967

Step 3: Utilize a standard typical conveyance table or mini-computer to find the probabilities relating to the z-scores.

  P(189.7 < M < 213) = P(0 < Z < 1.8967) ≈ 0.9702

Therefore, the probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213 is approximately 0.9702.

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here is ur answer seeee now

Answer: the answer is C

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

You can easily graph this in desmos for a visual understanding.

The slope of a line is received by (y2-y1)/(x2-x1). Assuming that Days is X and the cost is Y, we get (160-90)/(4-2), and it makes 70/2, which equates out to 35. Because the prices become more and more expensive, the slope is positive 35.

Answer:

do you need it for both sides

Step-by-step explanation:

Therefore , the solution of the given problem of test statistics comes out to be Since the p-value is less than the level of significance of 0.01, we reject the null hypothesis.

The Z-statistic, which demonstrates that the ordinary normal balanced hypothesis is true, has been used as the statistic for anything resembling a Z-test. Let's say you run two separate X-y tests with a 0.05 level of significance, and the results show that you got a 2.5 R t. (also a Z-value). The p-value variable for this Z-value is 0.0124.

Here,

a) State the null hypothesis \(H_{0}\) and the alternative hypothesis H1.

\(H_{0}\): p = 0.70 (proportion has not changed)

H1: p ≠ 0.70 (proportion has changed)

(b)

Since we are testing for a proportion and have sample size n = 250, we can use the normal distribution to approximate the sampling distribution of the sample proportion. Therefore, we will use the z-test statistic.

(c)

z = (p' - p) / √(p(1-p)/n)

p' = 154/250 = 0.616

z = (0.616 - 0.70) / √(0.70(1-0.70)/250)

z = -2.759

(d)

The p-value is the probability of observing a z-score as extreme as -2.759 or more extreme under the null hypothesis. Since this is a two-tailed test, we need to find the area in both tails of the standard normal distribution.

p-value = P(Z ≤ -2.759) + P(Z ≥ 2.759)

p-value = 0.0058 + 0.0058

p-value = 0.0116

(e)

Since the p-value is less than the level of significance of 0.01, we reject the null hypothesis. We can conclude that there is sufficient evidence to suggest that the proportion of high school seniors who believe that "getting rich" is an important goal has changed.

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Answer:

88

Step-by-step explanation: