Find the area of the SHAPE™

Answer:A

Step-by-step explanation:

The approximate rate of change of this function on the interval [-2, 2] is Option A; -9/8.

Suppose that we have to measure the rate of change of y as x changes, then we have:

[tex]Rate = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

where we have

[tex]\rm when \: x=x_1, y = y_1\\when\: x = x_2, y= y_2[/tex]

Remember that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.

The interval given as:  -2 ≤ x ≤ 2

Let (x_1,y_1) = (-2, 2)  and  (x_2,y_2) = (2, -2.5)

The rate of change

[tex]\dfrac{y_2-y_1}{x_2-x_1}\\\\\\=\dfrac{-2.5-2}{2+2} \\\\=\dfrac{-4.5}{4}\\\\=-\dfrac{9}{8}[/tex]

Therefore, the approximate rate of change of this function on the interval [-2, 2] is Option A; -9/8.

Learn more about rate of change here:

https://brainly.com/question/19167959

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Answer:

$19,500 - $1000

Step-by-step explanation:

the amount Brianna earns in excess of the amount Lisa earns can be determined by subtracting the amount Brianna earns from that Lisa earns

$19,500 - $1000 = $18,500

Answer:

-4x, 1y, -14

Step-by-step explanation:

Hope this helps :)

Answer:

x = -9

Step-by-step explanation:

Given:

BC = x + 19

ST = x + 29

Required:

Value of x

Solution:

Midsegment theorem states that the midsegment of a triangle = ½ of the length of its third side

Thus:

BC = ½(ST)

Substitute

x + 19 = ½(x + 29)

Multiply both sides by 2

2(x + 19) = x + 29

2x + 38 = x + 29

Collect like terms

2x - x = -38 + 29

x = -9

Answer:

d

Step-by-step explanation:

Answer: D

Step-by-step explanation:

The probability of picking a brown pencil greater than the probability as NOT picking a brown pencil because there more brown pencils than purple so there is a higher chance you will get a brown than NOT get a brown.

Answer:

The calculated value Z = 1.5950 < 1.96 at 0.05 level of significance

The null hypothesis is accepted at a 0.05 level of significance

The proportion of cell phone owners in that country who have a smartphone has not increased over time

Step-by-step explanation:

Step(i):-

Given that the random sample size 'n' = 934

Given that the population proportion P = 0.51

                                                            Q= 1-P

                                                           Q = 1- 0.51 = 0.49

The sample proportion

                                   [tex]p = \frac{x}{n} = \frac{501}{934} = 0.5364[/tex]

Level of significance = 0.05

Critical value Z₀.₀₅ = 1.96

Step(ii):-

Null hypothesis:  P < 0.51

Alternative Hypothesis : P > 0.51

  Test statistic

                    [tex]Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }[/tex]

                   [tex]Z = \frac{0.536-0.51}{\sqrt{\frac{0.51 x 0.49}{934} } }[/tex]

                  Z =  1.5950

Final answer:-

Given that P-value 0. 0532

P-value > 0.05

Rejected Alternative Hypothesis and accepted null hypothesis

               ( OR)

The calculated value Z = 1.5950 < 1.96 at 0.05 level of significance

The null hypothesis is accepted at a 0.05 level of significance

The proportion of cell phone owners in that country who have a smartphone has not increased over time

Answer:

$1125000

Step-by-step explanation:

45,000 x 25 = 1125000

Since the question didn't specify what values to calculate, I will assume that it is how much money was issued in total.

Answer:

B

Step-by-step explanation:

Anything to the 0 power is 1

Most of the numbers are in the 50’s and 60’s so the outlier would be 98

Answer:

18 inches

Step-by-step explanation:

54*1/3=18(inches)

Answer: B

Step-by-step explanation:

negative correlation so as x increases y decreases,

as population rises houses should rise, not A

as buildings rise, need more space and less trees, B is the answer

as cars rise population should rise, not C

no correlation, not D

Answer:

The null hypothesis is: [tex]H_{0}: \mu = 100[/tex]

The alternative hypothesis is: [tex]H_{a}: \mu > 100[/tex]

Step-by-step explanation:

At the null hypothesis, we test if the mean is equal to a certain value.

At the alternate hypothesis, we test if the mean is less than, more than, or different from the value tested at the null hypothesis.

The tuft bind strength of a synthetic material used to make carpets is known to have a mean of 100 lb and standard deviation of 20 lb.

This means that the null hypothesis is: [tex]H_{0}: \mu = 100[/tex]

Could it be that the average tuft strength is above 100 lb?

The world above means that the appropriate alternative hypothesis is: [tex]H_{a}: \mu > 100[/tex]

Answer:

Don't click the site its a scam and will give your phone a virus

Answer:

Step-by-step explanation:

6

Answer:

11 Doesn't belong because there are a 3 and 33, 6 and 66, but no 1 before 11.

Answer:

It’s C

Step-by-step explanation:

Why because it’s is

Dream should do a facial revile

Answer:

a,d,e

Step-by-step explanation:

In this question, we apply limit concepts to get the desired limit, finding that the correct options are: A, D and E, leading to the result of the limit being [tex]\frac{1}{6}[/tex].

Limit:

The limit given is:

[tex]\lim_{x \rightarrow 7} \frac{\sqrt{x+2}-3}{x-7}[/tex]

If we apply the usual thing, of just replacing x by 7, the denominator will be 0, so this is not possible.

When we have a term with roots, we rationalize it, multiplying both the denominator and the denominator by the conjugate.

Multiplication by the conjugate:

The term with the root is:

[tex]\sqrt{x+2} - 3[/tex]

It's conjugate is:

[tex]\sqrt{x+2}+3[/tex]

Multiplying numerator and denominator by the conjugate, meaning option A is correct:

[tex]\lim_{x \rightarrow 7} \frac{\sqrt{x+2}-3}{x-7} \times \frac{\sqrt{x+2}+3}{\sqrt{x+2}+3}[/tex]

We do this because at the numerator we can apply:

[tex](a+b)(a-b) = a^2 - b^2[/tex]

Thus

[tex]\lim_{x \rightarrow 7} \frac{\sqrt{x+2}-3}{x-7} \times \frac{\sqrt{x+2}+3}{\sqrt{x+2}+3} = \lim_{x \rightarrow 7} \frac{(\sqrt{x+2})^2 - 3^2}{(x-7)(\sqrt{x+2}+3)} = \lim_{x \rightarrow 7}\frac{x+2-9}{(x-7)(\sqrt{x+2}+3)} = \lim_{x \rightarrow 7}\frac{x-7}{(x-7)(\sqrt{x+2}+3)}[/tex]

Thus, we can simplify the factors of x - 7, meaning that option D is correct, and we get:

[tex]\lim_{x \rightarrow 7} \frac{1}{\sqrt{x+2}+3}[/tex]

Now, we just calculate the limit:

[tex]\lim_{x \rightarrow 7} \frac{1}{\sqrt{x+2}+3} = \frac{1}{\sqrt{7+2}+3} = \frac{1}{3+3} = \frac{1}{6}[/tex]

Thus, option E is also correct.

Using a limit calculator, as given by the image below, we have that 1/6 is the correct answer.

For more on limits, you can check https://brainly.com/question/12207599

Answer:

-3

Step-by-step explanation:

The slope should be -3 since the rise is -3 and the run is 1 it would be -3/1.

The plane was flying long so it's true!

Answer:

Okay

Step-by-step explanation:

I'll see if I know the answer

Answer:

6

i think the - was meant to be an = instead of -

Step-by-step explanation:

rate of change is the same as slope

that is slope-intercept form.

y=mx+b

m is slope

slope= 6

Answer:

The rate of change is 6

Step-by-step explanation:

Set the equation equal to 0:

y-6x+3=0

Now solve for y because we want the equation in y=mx+b form where m is the rate

Subtract 3:

y-6x=-3

add 6x

y=6x-3

Now in y=mx+b form

m would equal 6

Answer:

Hello!

Distributive property: a(b+c)=ab+ac

Minus and plus sign.

Then multiply by the numbers.

Hope this helps!

Thanks!

Have a great day!

Step-by-step explanation:

Answer:

x=70

Step-by-step explanation:

To solve this problem, you set up the equation 45+(2x-5)=180

Next, subtract 45 from 180 to get the equation 2x-5=135

After that, add 5 to 135 to get 2x=140

Divide 140 by 2 to get X=70

Answer:

[tex]\sqrt{-25} = 5i[/tex]

Step-by-step explanation:

Given

[tex]\sqrt{-25[/tex]

Required

An equivalent

We have:

[tex]\sqrt{-25[/tex]

Express -25 as -1 * 25

[tex]\sqrt{-25} = \sqrt{-1 * 25}[/tex]

Split

[tex]\sqrt{-25} = \sqrt{-1} * \sqrt{25}[/tex]

[tex]\sqrt{25} = 5[/tex], so:

[tex]\sqrt{-25} = \sqrt{-1} * 5[/tex]

[tex]\sqrt{-1} = i[/tex] --- complex numbers

So:

[tex]\sqrt{-25} = i * 5[/tex]

[tex]\sqrt{-25} = 5i[/tex]

Hence, the equivalent is (D)

Answer:

A sample of 2084 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In an earlier study, the population proportion was estimated to be 0.19.

This means that [tex]\pi = 0.19[/tex]

98% confidence level

So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].

How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 98% confidence level with an error of at most 0.02?

This is n for which M = 0.02. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.02 = 2.327\sqrt{\frac{0.19*0.81}{n}}[/tex]

[tex]0.02\sqrt{n} = 2.327\sqrt{0.19*0.81}[/tex]

[tex]\sqrt{n} = \frac{2.327\sqrt{0.19*0.81}}{0.02}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.327\sqrt{0.19*0.81}}{0.02})^2[/tex]

[tex]n = 2083.4[/tex]

Rounding up:

A sample of 2084 is needed.

Answer:

16

Step-by-step explanation:

Answer:

16 feet is the length.

Step-by-step explanation:

The area of a rectangle is A = L x W

If we know the area then:

208 = L x 13

208/13 = L

L= 16 feet

Answer:

5

Step-by-step explanation:

f(x) = |x – 2|

f(3) = |-3 - 2| = |-5| = 5

Answer:

18x+15

Step-by-step explanation:

This is basically asking you to simplify the expression.

5(4x+3)-2x

Distribute the 5

20x+15-2x

Combine like terms (x values)

18x+15

Answer:

C. 140, 40

Step-by-step explanation:

Supplementary angles are two angles that add up to a sum of 180°.

140+40 = 180