100 POINTS

PLEASE PROVIDE STEPS.

THANK YOU!!!

100 POINTS PLEASE PROVIDE STEPS.THANK YOU!!!

Answers

Answer 1

Answer:

2/π

h(x) is concave up on the intervals (-∞, -1/√3) and (1/√3, ∞).

h(x) is concave down on the interval (-1/√3, 1/√3).

Step-by-step explanation:

f(x) = sin x

The average value of a function between x=a and x=b is:

avg = 1/(b−a) ∫ₐᵇ f(x) dx

avg = 1/(π−0) ∫₀ᵖⁱ sin x dx

avg = 1/π (-cos x) |₀ᵖⁱ

avg = 1/π (-cos π − (-cos 0))

avg = 1/π (1 + 1)

avg = 2/π

h(x) = x⁴/12 − x²/6

Find the second derivative.

h'(x) = x³/3 − x/3

h"(x) = x² − ⅓

Factor using difference of squares.

h"(x) = (x − 1/√3) (x + 1/√3)

h"(x) = 0 when x = ±1/√3.  Evaluate the sign of h"(x) in each interval.

-∞ < x < -1/√3, h"(x) > 0.

-1/√3 < x < 1/√3, h"(x) < 0.

1/√3 < x < ∞, h"(x) > 0.

h(x) is concave up on the intervals (-∞, -1/√3) and (1/√3, ∞).

h(x) is concave down on the interval (-1/√3, 1/√3).

Answer 2

Answer:

2/π

h(x) is concave up on the intervals (-∞, -1/√3) and (1/√3, ∞).

h(x) is concave down on the interval (-1/√3, 1/√3).

Step-by-step explanation:


Related Questions

What function has zeros at x=10 and x=2

Answers

Answer:

  f(x) = x^2 -12x +20

Step-by-step explanation:

There are an infinite number of functions with zeros at those values of x. One simple polynomial function with those zeros is ...

  f(x) = (x -10)(x -2) . . . . . each zero contributes a factor

  f(x) = x^2 -12x +20

A North American company manufactures rivets for use in car production. A sample of forty rivets from the production line had mean 6.803 and standard deviation 0.275 (both in 1/100 of an inch). On communicating these results to the company headquarters in Europe, a request is made for the summary statistics to be converted into millimeters. Given that one inch is 2.538 centimeters, find the mean and standard deviation of the sample in millimeters. What is the mean in millimeters

Answers

Answer:

Mean = 1.73 mm

Standard deviation = 0.0698 mm

Step-by-step explanation:

Given:

Sample size, n = 40

Mean, u = 6.803

Standard deviation = 0.275

a) Given that one inch is 2.538 centimeters, to find the mean in millimeters we have:

[tex] 6.803 * \frac{1}{100} [/tex]

Converting to cm, we have:

[tex] 6.803 * \frac{1}{100} * 2.538 = 0.173 cm[/tex]

Converting to mm, we know 1cm = 10 mm,

0.173 * 10 = 1.73 mm

b) Given that one inch is 2.538 centimeters, to find the standard deviation in millimeters we have:

[tex] 0.275 * \frac{1}{100} [/tex]

Converting to cm, we have:

[tex] 0.275 * \frac{1}{100} * 2.538 = 0.00698 cm[/tex]

Converting to mm, we know 1cm = 10 mm,

0.00698 * 10 = 0.0698mm

In this exercise we have to use the knowledge of statistics to calculate the car production, so we have to:

Mean: [tex]1.73mm[/tex]Standard deviation: [tex]0.0698 mm[/tex]

Given the following information, we have:

Sample size n = 40 Mean u = 6.803 Standard deviation = 0.275

A) Find the convertion to the mean in milimeters, will be:

[tex]6.803*(1/100)*2.538=0.173 cm\\=1.73 mm[/tex]

B) Find the convertion to the stardard deviation in milimeters, will be:

[tex]0.275*(1/100)*2.538=0.00698\\=0.0698 mm[/tex]

See more about statistics at brainly.com/question/10951564

The perimeter of a rectangle is 62 meters. The length is 4 more than 2 times the width. What is the length?

Answers

Answer:

4x+ 1 = 24 + 1 = 25 m.

Step-by-step explanation:

Given, perimeter = 62 m. Perimeter : 2 (L+W) = 62 m. hence, L+W = 31 m. x = 30/5

Answer:

Step-by-step explanation:

let width be x

length = 2x + 4

2(x + 2x + 4) = 62

6x + 8 = 62

6x = 54

x = 9

length = 2(9) + 4 = 22cm

9/4 - 4/3 plz help me

Answers

Answer:

11/12

Step-by-step explanation:

Find the common denominator.

4 and 3 both go into 12.

4 goes into twelve three times so multiply the denom and the num.

9/4 = 27/12

3 goes into twelve four times.

4/3 = 16/12

Subtract.

27/12-16/12

= 11/12

Answer: 11/12

Step-by-step explanation:

multiply 3 and 4 to get a common denominator.

multiply 3 by 9 and 4 by 4

this gets u 27/12 and 16/12

subtract.

11/12

A national organization has been working with utilities throughout the nation to find sites for large wind machines that generate electricity. Wind speeds must average more than 15 miles per hour (mph) for a site to be acceptable. Recently, the organization conducted wind speed tests at a particular site. Based on a sample of wind speed recordings (taken at random intervals), the wind speed at the site averaged with a standard deviation of To determine whether the site meets the organization's requirements, consider the test, where μ is the true mean wind speed at the site and Fill in the blanks. "A Type I error in the context of this problem is to conclude that the true mean wind speed at the site _____ 15 mph when it actually _____ 15 mph."

Answers

Answer:

"A Type I error in the context of this problem is to conclude that the true mean wind speed at the site is higher than 15 mph when it actually is not higher than 15 mph."

Step-by-step explanation:

A Type I error happens when a true null hypothesis is rejected.

In this case, as the claim that want to be tested is that the average wind speed is significantly higher than 15 mph, the null hypothesis has to state the opposite: the average wind speed is equal or less than 15 mph.

Then, with this null hypothesis, the Type I error implies a rejection of the hypothesis that the average wind speed is equal or less than 15 mph. This is equivalent to say that there is evidence that the average speed is significantly higher than 15 mph.

"A Type I error in the context of this problem is to conclude that the true mean wind speed at the site is higher than 15 mph when it actually is not higher than 15 mph."

As a reward for saving his daughter from pirates, the King has given you the opportunity to win treasures hidden inside two of three trunks. The trunk that does not hold any treasure is empty. To win, you must select the correct trunks. The inscriptions on Trunks 1, 2, and 3 are "This trunk is empty," "There is a treasure in Trunk 1," and "There is a treasure in Trunk 2." For each of the following statements, determine whether the Queen who never lies could state this, and if so, which two trunks contain the treasures.(a) The Queen can state, "All the inscriptions are false."If the Queen can state this, in which of the trunks are the treasures hidden?(b) The Queen can state, "Exactly one of the inscriptions is true."If the Queen can state this, in which of the trunks are the treasures hidden?(c) The Queen can state, "Exactly two of the inscriptions are true."If the Queen can state this, in which of the trunks are the treasures hidden?(d) The Queen can state, "All the three inscriptions are true."If the Queen can state this, in which of the trunks are the treasures hidden?

Answers

The following answers are obtained from HW, which it shows answers to.

Answer:

A. The Queen can state, "All the inscriptions are false."If the Queen can state this, in which of the trunks are the treasures hidden?

False, Cannot be determined

(b) The Queen can state, "Exactly one of the inscriptions is true."If the Queen can state this, in which of the trunks are the treasures hidden?

True, Trunk 1 and 3

(c) The Queen can state, "Exactly two of the inscriptions are true."If the Queen can state this, in which of the trunks are the treasures hidden?

True, Cannot be determined

d) The Queen can state, "All the three inscriptions are true."If the Queen can state this, in which of the trunks are the treasures hidden?

False, Cannot be determined

What is a Regression equation

Answers

Answer:

Regression equations can help you figure out if your data can be fit to an equation.This is extremely useful if you want to make predictions from your data- either future predictions or indications of past behavior.For example,you might want to know what your savings are going to be worth in the future.There are several types of regression equations,some of the more common include exponential and simoke linear regression.In elementary statistics,the regression equation you are most likely to come across is the linear form.

Cody paid $24.00 to join an online music service. If she purchases 15 songs each month at a cost of $1.25 per song, what will be the total amount she has spent after 6 months?

Answers

15 songs x 1.25 per song = $18.75 per month for songs.

18.75 per month x 6 months = $112.50

112.50 + 24.00 = $136.50 total

Simplifying products and quotients of powers

7^2•7^8/7^4=7^a/7^4=7^b

A=
b=

Answers

Answer:

a=10

b=6

Step-by-step explanation:

add 2 to 8, to get a, then subtract 4 from 10 to get b

Answer:

10 and 6

Step-by-step explanation:

what type of function has a common rate of change

Answers

Answer:

  linear

Step-by-step explanation:

A linear function has a constant rate of change.

_____

The word "common" is usually used to refer to a shared characteristic of two or more entities. It would not ordinarily be used to describe a characteristic of one function. We're not quite sure what you mean by "has a common rate of change."

Sara Bought a computer that was originally priced at $896.The computer was on sale for 12% off. When she bought the computer, a 7% tax was added to the sale price. How much did Sara spend on the computer. Round to the nearest cent!

Answers

Answer:

$733.29. Simply because you take $896•0.12 to find the 12% off and then you take that subtracted by the starting total. After you get the 12% off then you multiply that number by .07 to get the sales tax. After you find that then you add the number you got after multiplying to the number you got after taking off the 12%.

Step-by-step explanation:

Brainliest for anyone if they get this CORRECT.

Answers

hello

it is c

hehehehe hope it helps

Answer:

The option c. (x-6)(x-1)

Step-by-step explanation:

x^2 - 7x +6

S=-7

P=6

x^2-1x-6x+6

x(x-1)-6(x-1)

(x-6)(x-1)

I really need help!! HELP ASAP PLEASE!!!
Which figure has an area of 12 square units?


Answers

Answer:

Should be the bottom one

Step-by-step explanation:

You can find this by counting. It is the only one with 12 units.

Answer:

Step-by-step explanation:is number 4 i pick it and its correct

Find the arc length of the partial circle. with a radius of 1

Answers

Answer:

1/2π

Step-by-step explanation:

For khan, you HAVE to put the pi symbol. just type pi and itll work

Answer:

1/2 pi (Sorry i don't have the pi symbol)

Step-by-step explanation:

Can you work out this math puzzle?

Answers

Triangle=10
Circle=5
Square:3.5
Half square:1.75
Answer to ?:26.25

The value of the puzzle is 17

The value of the triangle :

30/3 = 10

Value of Circle :

10/2 = 5

Value of whole yellow square :

8/2 = 4

Value of half-yellow square :

4/2 = 2

Using the above information:

Triangle + Circle + half-square

10 + 5 + 2 = 17

Therefore, the solution to the puzzle is 17

Learn more on puzzles : https://brainly.com/question/31416634

#SPJ6

0.6666666……… as a percentage

Answers

Answer:

2/3

Step-by-step explanation:

Answer: 66.66%

Step-by-step explanation: You multiply 0.66666... by 100 and that gives you 66.66

Parallel lines s and t are cut by a transversal, r.

Parallel lines s and t are cut by transversal r. Clockwise from top left, the angles formed with r and s are 1, 2, 3, 4; the angles formed with r and t are 5, 6, 7, 8.

If the measure of angle 1 is 68°, what is the measure of angle 5?
22°
68°
112°
158°

Answers

Answer:

68°

Step-by-step explanation:

Angles 1 and 5 are corresponding angles on parallel lines, hence they are equal

Answer:

B.

Step-by-step explanation:

Write the perimeter of the floor plan shown as an algebraic expression in x.

Answers

Answer: 8+2x

Step-by-step explanation:

Hi, Perimeter is the distance around a two-dimensional shape.

To calculate it, we have to add all the side lengths of the figure. The missing side  is the ? side (right side). To obtain it we have to subtract the top right side length (2) to the left side length (12)

So, the expression is equal to:

P = 12+ (x-4) + (x-12) +2 +(12-2)

P = 12+ x - 4 +x -12+2 +10

P = 12-4-12+2+10+x+x

P =8+2x


There are 14 math teachers and 26 science teachers at
school today. What is the ratio of math teachers to math
and science teachers at school?​

Answers

Answer: 2.86

Step-by-step explanation:

14+26=40

40/14

Answer:

2.86

Step-by-step explanation:

KARLA has spent $33 on food. She bought milk, cheese, and meat. The milk cost half as much as the cheese and the meat cost four times as much as the cheese. Which equation will help you find the cost of the cheese?

Answers

C+.5c+4c=$33 is the correct equation

1567÷135

plz help 50 points ​

Answers

Answer:

11.60740741

Step-by-step explanation:

Answer:

11.6074074074

Step-by-step explanation:

3x+20=5x how many Solutions does it have

Answers

Answer:

one

Step-by-step explanation:

3x + 20 = 5x

20 = 5x - 3x

20 = 2x

x = 10

one solution

3x+20=5x only have one solution

6th grade math! Help me please :)

Answers

Answer:

50 pictures.

Step-by-step explanation:

It's lit just 35+15=50 pictures

Answer:50

Step-by-step explanation:

Meg took 35 pictures

Kim took 15 pictures

Total pictures =35+15

Total pictures =50

Erin built a wooden box to hold hay on her farm. The box is 3 m long, 1 m wide, and 1 m high. Hay costs $14 per cubic meter.

Answers

Answer:

It will cost 42 to completely fill the box with hay.

have a good day <3

Twenty words were randomly selected from two textbooks. Each set gives the number of letters in each of the twenty words for that textbook.




Briefly describe how the word lengths compare between textbook 2 and textbook 1.



Briefly describe the variability in the length of words in textbook 2 compared to textbook 1. PLEASE HURRY :(

Answers

Answer:

k = 13The smallest zero or root is x = -10

Step-by-step explanation:

you can write "x^2" to mean "x squared"

f(x) = x^2+3x-10

f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5

f(x+5) = (x^2+10x+25)+3(x+5)-10

f(x+5) = x^2+10x+25+3x+15-10

f(x+5) = x^2+13x+30

Compare this with x^2+kx+30 and we see that k = 13

Factor and solve the equation below

x^2+13x+30 = 0

(x+10)(x+3) = 0

x+10 = 0 or x+3 = 0

x = -10 or x = -3

The smallest zero is x = -10 as its the left-most value on a number line.

Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing! Show your work!

Answers

Answer:

P represents the population in year 0

Step-by-step explanation:

The exponential growth function is f(x) = a (1 + r)^t, where a is the initial

amount (at t = 0), (1 + r) is the factor of growth , r is the rate of growth

in decimal ant is the time of growth

the function C(t) = P(1 + r)^t represents the population of

centerville at year t, where P is the initial population and r is the

rate of increase

If your investment is increased 10% annually, then that means

each year, your total has multiplied itself by 110% (the growth factor

is 1 + 10/100 = 1.1)

(1 + r) is the factor grows each year

C(t) = P(1 + r)^t

C depends on P(starting population) , r(the increasing rate and

t(the time in year)

r is the rate of increase means the percentage of increasing , then

0 < r < 1

r is not less than 0

P is the initial amount when t = 0

P represents the population in year 0

Answer:

P represents the population in year 0

Step-by-step explanation:

Solve for c.
6c + 14 = -5c + 4 + 9c

Answers

the answer for this question is c= -5

Answer:

C equal -5

Step-by-step explanation:

Look at the attachment

What’s the correct answer for this?

Answers

Answer:

6 units

Step-by-step explanation:

We find the distance by subtracting the "ends"

=-4-2= -6 (ignoring the negative)

We get

=6

what’s the gcf of x^2 and 5x

Answers

Answer:

the GCF of x^2 and 5x is x

Find the prime factors of each term in order to find the greatest common factor (GCF).

A medical researcher is studying the spread of a virus in a population of 1000 laboratory mice. During any week, there is an 80% probability that an infected mouse will overcome the virus, and during the same week there is a 10% probability that a noninfected mouse will become infected. Three hundred mice are currently infected with the virus. How many will be infected next week and in 3 weeks

Answers

Answer:

The number of mice that will be infected next week are 130 while

The number of mice that will be infected in 3 weeks are 111

Step-by-step explanation:

From the information given , the researcher is studying the spread of a virus in a population of 1000 laboratory mice. i.e, n = 1000

Number of infected = 300

Non infected = 1000 - 300 = 700

Probability an infected mouse will overcome = 80% = 0.8

Probability a noninfected mouse becomes infected = 10% = 0.10

The number of infected that will overcome = 0.8 * 300 = 240

The number of non infected that will become infected = 0.1 * 700 = 70

The number that will be infected on the first week =

300 - 240 + 70

= 130

Number that will be healthy on the first week =

700 + 240 - 70

= 870

Calculating for week 2:

The number of infected that will overcome = 0.8 * 130 = 104

The number of non infected that will become infected = 0.10 * 870 = 87

The number that will be infected on the second week =

130 - 104 + 87

= 113

Number that will be healthy on the second week =

870 + 107 - 87

= 887

Calculating for week 3:

The number of infected that will overcome = 0.8 * 113 = 90.4

The number of non infected that will become infected = 0.10 * 887 = 88.7

The number that will be infected on the third week =

113 - 90.4 + 88.7

= 111.3 ≈ 111

Number that will be healthy on the third week =

887 + 90.4 - 88.7

= 888.7 ≈ 889

From our calculations, the number of mice that will be infected next week are 130

The number of mice that will be infected in 3 weeks are 111

Other Questions
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