Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x) = x , [0, 16]

Answers

Answer 1

Answer:

C = 4

Step-by-step explanation:

solution:

f(x) can be differentiated on (0,16)

By mean value theorem

= f(16) = 4

= f(0) = 0

= f(b) - f(a)/b - a

= f(4) - f(0)/ f(16) - f(0)

= f'(c) = 1/2√C

= 1/2√C = 4/16

= 1/2√C = 1/4

= 4 = 2√C

= √C = 4/2

we make c the subject of the formula and also eliminate the square root

= √C = 2

= C = 2²

= C = 4


Related Questions

what is square root of 49 over square root of 1250 simplified

Answers

im pretty sure its 0.19 because the sqyare root of 49 is 7. the square root of 1250 is 35.35

7/35.35=0.19

Look at photo, the app I used is called calculator plus if you want to get it!

PLEASE HELP

-1/2m=-9

Show your work in details if you can, I have a hard time understanding this.

Answers

Answer:

m=18

Step-by-step explanation:

-1/2m=-9

-m=-18

m=18

[tex] \begin{cases} \\ \\ \large\bf{\green{ \implies}} \tt \: - \: \frac{1}{2} \: m \: = \: - 9 \\ \\ \large\bf{\green{ \implies}} \tt \: - \frac{1 \: m}{2} \: = \: - 9 \\ \\ \large\bf{\green{ \implies}} \tt \: - 1m \: = \: - 9 \: \times \: 2 \\ \\ \large\bf{\green{ \implies}} \tt \: - 1m \: = \: - 18 \\ \\ \large\bf{\green{ \implies}} \tt \: m \: = \: \frac{ \cancel- 18}{ \cancel - 1} \\ \\ \large\bf{\green{ \implies}} \tt \: m \: = \: \frac{18}{1} \\ \\ \large\bf{\green{ \implies}} \tt \: m = \: 18 \: \\ \\ \end{cases}[/tex]

If $ 10000 is deposited at an "interest rate" of 4% per year, annually compounded, what amount will depositors get after 5 years?

Answers

Answer:

PTR upon hundreds .by putting these formulas you can solve ti and is 2000

Point g is located at (3,6) on the coordinate plane. Point G is reflected over the x-axis to create point G'. Point G' is then reflected over the y-axis to create point G''. What ordered pair describes the location of G''.

Answers

-Answer:

(-3. -6)

Step-by-step explanation:

G (3,6)

x axis reflect

G' (3, -6)

y axis reflect

G'' (-3. -6)

Suppose you are conducting a study about how the average US worker spends time over the course of a workday. You are interested in how much time workers spend per day on personal calls, emails, and social networking websites, as well as how much time they spend socializing with coworkers versus actually working.

The most recent census provides data for the entire population Of U.S. workers on variables such as travel time to work, time spent at work, and break time at work. The census, however, does not include data on the variables you are interested in, so you obtain a random sample of 82 full-time workers in the United States and ask about personal calls, e-mails, and so forth. You are curious about how your sample compares with the census, so you also ask the workers the same questions about work that are asked in the census.

Suppose the mean break time per day from the most recent census is 29.6 minutes, with a standard deviation of 16.0 minutes. Your sample of 82 U.S. workers provides a mean break time per day of 31.9 minutes with a sample standard deviation of 22.4 minutes.

Organize this information by completing the following table.

μ = _________ M= __________
σ= _________ s= ___________
σM = _______ sM = _________

Answers

Answer:

lol

Step-by-step explanation:

Now don't get us wrong – not all of these answers raise this excellent question

The value of [tex]\mu[/tex] = 29.6, M = 31.9, [tex]\sigma[/tex] = 16 , s = 22.4, [tex]\sigma_m[/tex] = 3.121, and [tex]\rm S_m[/tex] = 2.473.

It is given that the mean break time per day from the most recent census is 29.6 minutes with a standard deviation of 16 minutes.

It is required to organize the information in a table if the sample size is 82.

What is the margin of error(MOE)?

It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.

The formula for finding the MOE:

[tex]\rm MOE = Z_{score}\frac{s}{\sqrt[]{n} }[/tex]

Where    is the z score at the confidence interval

            s is the standard deviation

            n is the number of samples.

We know:

[tex]\rm \sigma_m= \frac{\sigma^2}{n}[/tex]

We have,

[tex]\rm \sigma = 16 \ and \ n = 82[/tex]

[tex]\rm \sigma_m= \frac{16^2}{82}[/tex]

[tex]\rm \sigma_m= 3.121[/tex]

For [tex]\rm S_m[/tex]

[tex]\rm S_m = \frac{s}{\sqrt{n} }[/tex]

We have,

s = 22.4 and n = 82

[tex]\rm S_m = \frac{22.4}{\sqrt{82} }[/tex]

[tex]\rm S_m = 2.473[/tex]

Thus, the value of [tex]\mu[/tex] = 29.6, M = 31.9, [tex]\sigma[/tex] = 16 , s = 22.4, [tex]\sigma_m[/tex] = 3.121, and [tex]\rm S_m[/tex] = 2.473.

Learn more about the Margin of error here:

brainly.com/question/13990500

last week a worm was 10 millimeters long. This week it is 13 millimeters long. What is the percent of increase of the worm's length from last week to this week?

Answers

Answer:

23% increase

Step-by-step explanation:

13 - 10 = 3

3/13 = 0.2307 = 23%

Hope that helped!!! k

% change = Difference/Original Value*100
= 13-10/10*100
= 3/10*100
= 30%

I need step by step solution.

Answers

Answer: it is an exponential decay function

Step-by-step explanation:

Since 0.3 is less than 1 then increasing the value of the x will lead to the decrease of the value function y

It always travels at 3×108 m/s.

Answers

Answer:

it's electromagnetic radiatum

What is a categorical variable

Answers

It's a variable that deals with various labels, rather than the usual type of numeric variable you may be used to.

One example of a categorical variable is color. You could have red, green, blue, yellow, and orange as the five choices for your categorical variable. Each color is a label or category.

This is an example of a qualitative variable. We don't have any numeric data attached to color. They're simply names or labels. In contrast, a quantitative variable is something like a person's height since a number is attached here (more specifically its a continuous quantitative variable).

any equations that equal three?

Answers

0+3=3 so I hope that helps
1•3=3 or 4-1=3 try those equations

14 80 tiles of side 30cm were used to cover a counter top. Calculate the area of the counter top in square metres.​

Answers

Answer:

Step-by-step explanation:

1,480 is a lot of tiles. Did you mean 80 tiles?

30 cm = 0.3 m

Area of one tile = 0.3² m² = 0.09 m²

Multiply the number of tiles by 0.09 m².

There is only 3/4 cup of ice cream left. If 3 friends share the ice cream equally, how much ice cream will they each get?

Answers

Answer:

1/4 cup each

Step-by-step explanation:

Take the amount of ice cream and divide by 3

3/4÷ 3

Copy dot flip

3/4 * 1/3

Rewriting

3/3 * 1/4

1/4 cup each

50. Carrie is running for mayor in her local city election. In order to win, she must earn over 50% of the votes. ecides to hire a couple of Statistics students to help her measure the progress in her campaign through polling. She is hoping to find sufficient evidence (a=0.05) that she will in fact win the election with more than 50% of the vote. The Statistics students test the following hypotheses, where p represents the proportion of all voters who will vote for Jemmy. which of the following statements would be true if a Type I error is made? (Select all that apply.)
a. Carrie ends up winning the election.
b. The students find a p-value less than 0.05 .
c. Carrie ends up losing the election.
d. The students find a p-value greater than 0.05
e. The students make the conclusion that Carrie does not have more than 50% of the vote.
f. The students make the conclusion that Carrie will have more than 50% of the vote. e.

Answers

Answer:

b. The students find a p-value less than 0.05

c. Carrie ends up losing the election.

e. The students make the conclusion that Carrie does not have more than 50% of the vote.

Step-by-step explanation:

Null hypothesis is a statement that is to be tested against the alternative hypothesis and then decision is taken whether to accept or reject the null hypothesis.

Type I error is one in which we reject a true null hypothesis.

In the given scenario Type I error will be the one where students incorrectly estimates the p value and reject the null hypothesis when it was true. This error will result in losing the elections.

4. Eric has 54 yards of fencing to use for a flowerbed. Some possible measurements are
shown below. For which flowerbeds does Eric have enough fencing? Color in all the
possible answers.
A.
length = 30 yards
area = 300 square yards
B.
length = 20 yards
width = 5 yards
C.
width = 12 yards
perimeter = 48 yards
D.
length = 26 yards
width = 22 yards
E.
length = 16 yards
width = 14 yards
F.
width = 9 yards
area = 162 square yard

Answers

Answer:

B,C,F

Step-by-step explanation:

A=L*W

P=2L+2W

P≤54

for A, 2L is already greater than 60

B works as 2W+2L in this case is 50

C states that perimeter is less than 54

D doesn't work, as 2L+2W=96

E doesn't work, see above, P=60

F, area=W*L

162/9=18

L=18

2L+2W=48, so F works

Answer:

trả lời:

B,C,F

Giải thích từng bước:

A = L * W

P = 2L + 2W

Trang ≤54

đối với A, 2L đã lớn hơn 60

B hoạt động như 2W + 2L trong trường hợp này là 50

C nói rằng chu vi nhỏ hơn 54

D không hoạt động, vì 2L + 2W = 96

E không hoạt động, xem ở trên, P = 60

F, diện tích =W*L

162/9=18

L =18

2L + 2W = 48, vì vậy F hoạt động

I need to know the answer and explaining how to do it please

Answers

Answer:

Its 0.11

Step-by-step explanation:

When you divide any number by 10, you just move the decimal place one to the left, as for this number 1.1, you move it one place to the left which makes it 0.11. Mathmatically, to check your work you can do 0.11 x 10 to get 1.1

Mark brainliest and helpful

can any one give me answer plz?

Answers

Answer:

D

Step-by-step explanation:

since

cos(2x) = 1 - 2×sin²(x)

and for x near 0, sin(x) is very similar to x.

Power Function:
Analyze and model the power function: Exercise 2

Answers

Answer:

Given function:

f(x) = 2.8x²

A. The domain is all positive integers (number of people can't be negative), so as the range.

B. x = 19.2

f(19.2) = 2.8(19.2)² = 1032.192 tons

C. f(x) = 655432

2.8x² = 655432 x² = 655432 /2.8x² = 234082.857143x = √234082.857143x = 483.821100349 million

D. x = 7530

f(7530) = 2.8(7530)² = 158762520 tons

Find the perimeter of the image below

Answers

Permittee image below find of

Suppose a newspaper wants to conduct a survey on heating oil consumption in Iowa. For the survey, the newspaper randomly picks 26 households. What is the sample distribution of the sample sum

Answers

Answer:

noent einda  pergnta poudsesrmaesspeeciicofl

Step-by-step explanation:

A letter is chosen from the word 'brilliant'. Determine the probability that it will be: Give your answers in their lowest terms.

Answers

Answer:

Step-by-step explanation:

brilliant has 9 letters

brilliant has 1 B (1/9)

brilliant has 1 R (1/9)

brilliant has 2 I's (2/9)

brilliant has 2 L's (2/9)

brilliant has 1 A (1/9)

brilliant has 1 N (1/9)

brilliant has 1 T (1/9)

Find the area of a triangle with legs that are: 12 m, 15 m, and 9 m.

Answers

Answer:

108 meters squared or m^2

Step-by-step explanation:

* means multiply

15 is probably hypotenuse because its the longest

12 and 9 are probably base and height

area = base * height

area = 12 * 9

area = 108

Answer:

54m^2

Step-by-step explanation:

2 less than five times a number.

Answers

Answer:

X will be the number.  

5 times that number X is 5X

2 less than 5 times the number is 5X - 2

Hope this helps! Plz mark brainliest! (づ ̄3 ̄)づ╭❤~

Answer

5x + 2

Step-by-step explanation:

5x + 2 or 5x - 2

A ladder 10 ft long leans against a vertical wall. If the lower end is being moved away from the wall at the rate of 6 ​ft/sec, how fast is the height of the top changing​ (this will be a negative​ rate) when the lower end is 6 feet from the​ wall?

Answers

Answer:

-4.5ft per sec

Step-by-step explanation:

Assume that vertical wall has a distance of y and the horizontal floor is x (6 ft).

This forms a triangle with the ladder as the hypothenus of length 10ft

We have dy/dt = 6ft per sec

According to Pythagoras law the relationship between x and y is

(x^2) + (y^2) = (hypothenus ^2) = 10^2

When we differentiate both sides of the equation

2x(dx/dt) + 2y(dy/dt) = 0

dy/dt = (x/y) * (dx/dt)

y= √(10^2) - (6^2) = 8ft

So dy/dt = (6/8)* (6/1)= -4.5 ft per sec

It is a negative rate

CHứng minh rằng trong hệ g - phân với 2

Answers

Jejejwjehejjejekekekeke

Translate the sentence into an equation.

Four times the sum of a number and 7 equals 3

Answers

Answer:

[tex]4(x+7)=3[/tex]

Step-by-step explanation:

Since the sum is being multiplied 4 different times, it's best to write the equation of the sum and the number 4 being in the outside. and since it's saying it equals 3, just add the equal sign

Hope this helps!

- doomdabomb

5/2 divided7 ( please dont report, i just can't figure it out! )

Answers

Answer:

5/14

Step-by-step explanation:

You multiply the recripricoal in division problems:

5/2  ÷ 7/1 =

5/2 × 1/7 =

5/14

Answer:

5 / 14

Step-by-step explanation:

will make it simple... the technique is to flip the either 5/2 or 7/1

then multiply.

5/2 x 1/7 = 5 / 14

Y * 3 = 81 please i need it for today

Answers

Answer:

Y = 27

Step-by-step explanation:

Y * 3 = 81

Divide each side by 3

Y * 3/3 = 81/3

Y = 27

PLEASE HELP!! (3/5) - 50 POINTS -

Answers

Answer:

infinite number of solutions

Step-by-step explanation:

A dependent system is where the two equations are the same line has has an infinite number of solutions

Answer:

[tex]\boxed{\sf D) \ an\ infinite \ number \ of \ solutions}[/tex]

Step-by-step explanation:

A dependent system of equations has an infinite number of solutions.

When you graph the system of equations, both the equations represent the same line and have an infinite number of solutions.

When a number is doubled and the
result is decreased by 4 the answer
is 19. Find the number.

Answers

Answer:

7.5

Step-by-step explanation:

Guys, can you help me out? I would really appreciate it! GIVING OUT BRAINLIEST!!

Answers

Answer:

C:750$

Step-by-step explanation:

The food expense is 15% of total income 5000$

=> food expense: (15/100) x 5000 = 750$

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