On the interval [−4,4] we know that x and x2 are orthogonal. Let p=x+ax2+bx3. Then


⟨p,x⟩=




⟨p,x2⟩=



So if we want p to be orthogonal to both x and x2 we have to solve the system of equations



=0



=0




Which gives us


p=

Answers

Answer 1

The value of p is x-5/48x³ On the interval [−4,4] we know that x and x² are orthogonal.

The p-value, under the assumption that the null hypothesis is true, is the likelihood of receiving findings from a statistical hypothesis test that are at least as severe as the observed results. The p-value provides the minimal level of significance at which the null hypothesis would be rejected as an alternative to rejection points. The alternative hypothesis is more likely to be supported by greater evidence when the p-value is lower.

P-value is frequently employed by government organisations to increase the credibility of their research or findings. The U.S. Census Bureau, for instance, mandates that any analysis with a p-value higher than 0.10 be accompanied by a statement stating that the difference is not statistically significant from zero. The Census Bureau has also established guidelines that specify which p-values are acceptable.

<p, x> = [tex]\int\limits^2_{-2} {x(x+ax^2+bx^3)} \, dx[/tex]

[tex]= \int\limits^2_{-2} {x^2} \, dx +a\int\limits^2_{-2} {x^3} \, dx +b\int\limits^2_{-2} {x^4} \, dx[/tex]

Right so the middle integral is zero already since you said x and x² are orthogonal,

= 2([tex]\int\limits^2_0 {x^2} \, dx +b\int\limits^2_0 {x^4} \, dx[/tex])

[tex]=2(\frac{x^3}{3} +\frac{bx^5}{5} )^2_0[/tex]

b = -5/12.

Learn more about Orthogonal:

https://brainly.com/question/28453791

#SPJ4


Related Questions

Please I need your help!
Select each equation that the number 10 to the 3rd power makes true.
6.01 × ⬜ = 601
0.305 × ⬜ = 305
0.54 × ⬜ = 540
0.097 × ⬜ = 970
0.97 × ⬜ = 97

Answers

That answer are 2, 3, and 5

Write the equation for the circle graphed below. Center = (-5, -5) Radius= 4

Answers

Answer:

(x + 5)^2 + (y + 5)^2 = 16.

Step-by-step explanation:

(x - a)^2 + (y - b)^2 = r^2    where (a, b) is the centre and r =- the radius.

Here (a, b) = (-5, -5) and r = 4, so:

(x - (-5))^2 + (y - (-5))^2 = 4^2

(x + 5)^2 + (y + 5)^2 = 16

During their team meeting, both managers shared their findings. Complete the statement describing their combined results.



Select the correct answer from each drop-down menu.



The initial number of video views was ____ the initial number of site visits, and the number of video views grew by _____ the number of site visits.



The difference between the total number of site visits and the video views after 5 weeks is _____.



More than


the same as


fewer than



a smaller factor than


the same factor as


a larger factor than



20,825


52,075


15,625


36,450

Answers

The initial number of video views was fewer than the initial number of site visits, and the number of video views grew by a larger factor than the number of site visits. The difference between the total number of site visits and the video views after 5 weeks is 20,825.

During their team meeting, both managers shared their findings. Complete the statement describing their combined results.

The initial number of video views was fewer than the initial number of site visits, and the number of video views grew by a larger factor than the number of site visits.

The difference between the total number of site visits and the video views after 5 weeks is 20,825.

Therefore the correct answer are fewer, larger factor than and 20,825.

Read more about video.

https://brainly.com/question/15245269

#SPJ11

The sixth-graders at Ayana's school got to choose between a field trip to a museum and a field trip to a factory. 39 sixth-graders picked the museum. If there are 50 sixth-graders in all at Ayana's school, what percentage of the sixth-graders picked the museum?

Answers

As a fraction this is 39/50
So the ANSWER IS 78%

Answer:

78% of sixth-graders picked a field trip to a museum.

Step-by-step explanation:

39 out of 50 kids picked the museum field trip. This is 39/50. We can change this like so:

39/50 × 2/2

= 78/100

78/100 is 78% (because percent literally means "per hundred)

Another way is to just divide. 39/50 means 39 ÷ 50.

39 ÷ 50 is .78 then times by 100 to change to a percent. This works for all kinds of fractions.

78% of sixth graders at Ayana's school selected the museum field trip.

To the nearest cubic​ centimeter, what is the volume of the regular hexagonal​ prism?

a hexagonal prism has a height of 7 centimeters and a base with a side length of 3 centimeters. a line segment of length 2.6 centimeters connects a point at the center of the base to the midpoint of one of its sides, forming a right angle.


the volume of the regular hexagonal prism is about ___ cm3

Answers

Rounded to the nearest cubic centimeter, the volume of the regular hexagonal prism is approximately 82 [tex]cm^3.[/tex]

To calculate the volume of the regular hexagonal prism, we need to find the area of the base and multiply it by the height.

The base of the prism is a regular hexagon with side length 3 centimeters. The formula for the area of a regular hexagon is:

[tex]Area = (3√3/2) * (side length)^2.[/tex]

Substituting the given side length of 3 centimeters:

[tex]Area = (3√3/2) * 3^2[/tex]

= (3√3/2) * 9

= (27√3/2).

Now, let's calculate the volume by multiplying the base area by the height:

Volume = Area * height

= (27√3/2) * 7

≈ 81.729[tex]cm^3[/tex].

To know more about regular hexagonal prism, refer here:

https://brainly.com/question/23646357

#SPJ11

Elena is trying to figure out how many movies she can download to her hard


drive. The hard drive is supposed to hold 500 gigabytes of data, but 58


gigabytes are already taken up by other files. Each movie is 8 gigabytes. Elena


wrote the inequality 8x + 58 ≥ 500 and solved it to find the solution x ≥ 55. 25.



4a) Explain how you know Elena made a mistake based on her solution.



4b) Fix Elena's inequality and explain what each part of the inequality represent.

Answers

Based on Elena's solution, x represents the number of movies that can be downloaded. However, her inequality is incorrect as it states that the total amount of downloaded data (8x + 58) is greater than or equal to the total capacity of the hard drive (500 gigabytes).

This means that Elena is considering the amount of data taken up by other files in addition to the movies she wants to download. Therefore, her solution of x ≥ 55.25 is incorrect as it would allow Elena to download more movies than the remaining capacity of the hard drive.

The corrected inequality should be 8x ≤ 442, as the remaining capacity of the hard drive is 500 - 58 = 442 gigabytes. This means that Elena can download a maximum of 55 movies (8 x 55 = 440), leaving 2 gigabytes of space remaining on the hard drive. Therefore, each part of the inequality represents the total amount of data used by the movies downloaded (8x) and the remaining capacity of the hard drive (442).

To know more about gigabytes refer here

https://brainly.com/question/28309620#

#SPJ11

1) Amy deposits $2,300 in an account that pays 8.5% interest. How much money will Amy have after 4 years?

2)Andres deposits $10,000 in an account that pays 8% interest. How much money will Andres have after 4 years?

a
$ 13,604.89
b
$ 604.90
c
$ 20,004.98

3) Kara deposits $500 in an account that pays 5% interest. How much money will Kara have after 2 years?
a
$ 1,009.34
b
$ 13.97
c
$ 551.25

Answers

1) If Amy deposits $2,300 in an account that pays 8.5% interest, after 4 years, the future value will be $3,187.48.

2) If Andres deposits $10,000 in an account that pays 8% interest, after 4 years, the future value will be A. $13,604.89.

3) If Kara deposits $500 in an account that pays 5% interest, after 2 years, the future value will be C. $551.25.

How the future values are determined:

The future values represent the present investment compounded at an interest rate.

The future values can be determined using an online finance calculator as follows:

1) N (# of periods) = 4 years

I/Y (Interest per year) = =8.5%

PV (Present Value) = $2,300

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $3,187.48

Total Interest = $887.48

2) N (# of periods) = 4 years

I/Y (Interest per year) = =8%

PV (Present Value) = $10,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $13,604.89

Total Interest = $3,604.89

3) N (# of periods) = 2 years

I/Y (Interest per year) = 5%

PV (Present Value) = $500

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $551.25

Total Interest = $51.25

Learn more about the future value at https://brainly.com/question/27979326.

#SPJ1

Jason borrowed $5000 to go with the money he'd saved to buy a tractor. The finance charge on the loan was $55 and the term on the loan was 360 days. What was the APR for Jason's loan?
O 0. 011%
O 1. 116%
O 4. 015%
O 1. 527%​

Answers

The answer is option B: 1.116%.

To find the APR(Annual Percentage Rate) for Jason's loan, we first need to calculate the total amount of interest he paid.

The finance charge of $55 is the interest paid for the 360-day term.

To find the total interest, we can use the formula:

Total interest = (finance charge / loan amount) x (days in a year / loan term in days)

Plugging in the values, we get:

Total interest = (55 / 5000) x (365 / 360)

Total interest = 0.011 x 1.01389

Total interest = 0.01116 or 1.116%

Therefore, the APR for Jason's loan is 1.116%.

The answer is option B: 1.116%.

To know more about APR(Annual Percentage Rate) refer here:

https://brainly.com/question/28968795?#

SPJ11

A study reports that in 20102010 the population of the United States was 308,745,538308,745,538 people and the land area was approximately 3,531,9053,531,905 square miles. ​Based on the study, what was the population density, in people per square mile, of the United States in 20102010? ​Round your answer to the nearest tenth. ​

Answers

The population density is 87.4, under the condition that a study report shows that in 2010 the population of the United States was counted to be  308,745,538 people and the land area is approximately 3,531,905 square miles.

Now to evaluate  the population density of the United States in 2010, here we have to use the principles of division
Population density = Population / Land area

Staging  the values from the study
Population density = 308,745,538 / 3,531,905
The evaluated Population density = 87.4 people per square mile

Then, the United State's population density in 2010 was  evaluated as 87.4 people per square mile.

To learn more about population density
https://brainly.com/question/13902749
#SPJ4
The complete question is
A study reports that in 2010 the population of the United States was 308,745,538 people and the land area was approximately 3,531,905 square miles. ​Based on the study, what was the population density, in people per square mile, of the United States in 2010? ​Round your answer to the nearest tenth. ​

Ryann is filing Chapter 7 bankruptcy. She will be able to include $10,148.22 of her total debt of $112,758.00Calculate what percent of Ryann's total debt is included in the bankrup

Answers

Answer:

Step-by-step explanation:

To calculate the percentage of Ryann’s total debt that is included in the bankruptcy, you can divide the amount of debt included in the bankruptcy by the total debt and then multiply by 100.

So, the calculation would be: ($10,148.22 / $112,758.00) * 100 = 9%.

This means that 9% of Ryann’s total debt is included in the bankruptcy.

Which term can be put in the blank to make the statement below true?
3,000,000=30________________
A. Thousands
B.Ten-Thousands
C.Hundred-Thousands
D.Millions

Answers

The correct answer is D. Millions.

If we add "millions" to the blank, the statement becomes "3,000,000 = 30 millions," which is a true statement.

Karmen is buying a new car. For the car's exterior, she can choose from three colors-black, gray, or white. For the interior, she can choose between


belge and gray. She can also choose between a manual and an automatic transmission


if Karmen picks a car at random, what is the probability of picking a car that has a black exterior and a belge interior?


What is the probability of picking a car with a belge interior and an automatic transmission?


The probability of Karmen picking a car with a black exterior and a belge interior is


The probability of Karmen picking a car with a belge interior and an automatic transmission is

Answers

The probability of Karmen picking a car with a belge interior and an automatic transmission is 1/6

How to find the probability?

To find the probability, we need to start by identifying the event or situation for which we want to calculate the probability.

Since Karmen has three choices for the exterior color, two choices for the interior color, and two choices for the transmission, the total number of possible car configurations is:

3 x 2 x 2 = 12

This means there are 12 different cars to choose from.

To find the probability of picking a car that has a black exterior and a belge interior, we need to determine how many cars meet these criteria. There is only one car that has a black exterior and a belge interior, so the probability of picking this car is:

1/12

Therefore, the probability of Karmen picking a car with a black exterior and a belge interior is 1/12.

To find the probability of picking a car with a belge interior and an automatic transmission, we need to determine how many cars meet these criteria. There are two cars that have a belge interior and an automatic transmission, so the probability of picking one of these cars is:

2/12

Simplifying this fraction gives:

1/6

Therefore, the probability of Karmen picking a car with a belge interior and an automatic transmission is 1/6.

Learn more about probability

brainly.com/question/11234923

#SPJ11

A golfer at G wishes to hit a shot between two trees P and Q, as shown in the
diagram to the right. The trees are 31 metres apart, and the golfer is 74 metres
from P and 88 metres from P. Find the angle within which the golfer must play
the shot, correct to the nearest degree.

Answers

Answer:

  20°

Step-by-step explanation:

You want the measure of angle G in triangle GPQ with side lengths GP=74, PQ=31, QG=88 meters.

Law of cosines

The law of cosines tells you the relevant relationship is ...

  PQ² = GP² +GQ² -2·GP·GQ·cos(G)

Solving for angle G gives ...

  G = arccos((GP² +GQ² -PQ²)/(2·GP·GQ))

  G = arccos((74² +88² -31²)/(2·74·88)) = arccos(12259/13024)

  G ≈ 19.735° ≈ 20°

The golfer must play the shot within an angle of about 20°.

Mrs.lane makes a 22% commission on commercial advertising sales for the local newspaper plus $8.25/hr. working 40hrs/week. her average bi-weekly commercial sales are $5,625. how much would her average gross monthly income be?​

Answers

Mrs. Lane's average gross monthly income would be $3,135.

How to find the income?

To find the monthly income of  Mrs. Lane's,

First, we need to find Mrs. Lane's commission for her bi-weekly commercial sales:

Commission = 22% of $5,625 = 0.22 x $5,625 = $1,237.50

Next, we need to find her hourly wage for a week:

Hourly wage = $8.25 x 40 = $330

Her gross bi-weekly income is the sum of her commission and hourly wage:

Gross bi-weekly income = Commission + Hourly wage

= $1,237.50 + $330

= $1,567.50

To find her gross monthly income, we can multiply her gross bi-weekly income by the number of bi-weekly pay periods in a month:

Gross monthly income = Gross bi-weekly income x Number of bi-weekly pay periods in a month

= $1,567.50 x 2

= $3,135

Therefore, Mrs. Lane's average gross monthly income would be $3,135.

Learn more about Income

brainly.com/question/14732695

#SPJ11

At the Royal Dragon Chinese restaurant, a slip in the fortune cookies indicates a dollar amount that will be subtracted from your total bill. A bag of 10 fortune cookies is given to you from which you will select one. If six fortune cookies contain "1$ off," three contain "$3 off," and one contains "$8 off," determine the expectation of a selection.

Answers

Answer:

im sorry this makes absolutely no sense

Step-by-step explanation:

Para el periódico mural, los alumnos decidieron representar un pino por medio de un triángulo que tiene una superficie de 1. 5m si la base mide 1. 5 m ¿cuanto mide la altura? 

Answers

The height of the triangle is 2 meters.

How tall is triangle?

Para encontrar la altura del triángulo, podemos utilizar la fórmula para calcular el área de un triángulo:

Área = (base x altura) / 2

Sabemos que el área es de 1.5 m² y que la base mide 1.5 m, por lo que podemos despejar la altura de la siguiente manera:

1.5 m² = (1.5 m x altura) / 2

Multiplicando ambos lados por 2:

3 m² = 1.5 m x altura

Despejando la altura:

altura = 3 m² / 1.5 m

altura = 2 m

Por lo tanto, la altura del triángulo que representa al pino en el periódico mural es de 2 metros.

Learn more about triángulo

brainly.com/question/27901271

#SPJ11

Write the product 5x2/3 as the product of a whole number and a unit fraction

Answers

The product 5x^(2/3) can be written as the product of the whole number 5 and the unit fraction 1/x^(-2/3), which simplifies to x^(2/3)/1 or just x^(2/3). So, we have:

5x^(2/3) = 5 * (1/x^(-2/3)) = 5x^(2/3) = 5 * (x^(2/3) / 1) = 5x^(2/3) = 5x^(2/3)

To write the product 5x^(2/3) as the product of a whole number and a unit fraction, we need to express x^(2/3) as a unit fraction.

Recall that a unit fraction is a fraction with a numerator of 1, so we need to find a fraction that has 1 as the numerator and x^(2/3) as the denominator. We can do this by using the reciprocal property of exponents:

x^(2/3) = 1 / x^(-2/3)

Now we can substitute this expression into the original product:

5x^(2/3) = 5 * (1 / x^(-2/3))

Simplifying the right-hand side of the equation, we can write it as:

5 / x^(-2/3) = 5x^(2/3)

To know more about unit fraction refer to

https://brainly.com/question/30860953

#SPJ11

Morris shovels driveways during a big snowstorm. He charges $25 to shovel a drive way. He can shovel a drive way in a half hour assuming that he worked back to back how much could he make in 5 hours

Answers

Answer:

250

Step-by-step explanation:

5 x 2= 10

25 x 10= 250

Terri is beginning a science experiment in the lab. The instructions call for 227 milligrams of potassium. Calculate the difference between this amount and 1 gram

Answers

The difference between the amount of potassium called for in the experiment (0.227 grams) and 1 gram is 0.773 grams.

The amount of potassium called for in the experiment is 227 milligrams. To convert milligrams to grams, we divide by 1000: 227/1000 = 0.227 grams.

The amount of 1 gram is larger than 0.227 grams. To find the difference between the two amounts, we subtract the smaller amount from the larger amount:

1 gram - 0.227 grams = 0.773 grams

Therefore, the difference between the amount of potassium called for in the experiment (0.227 grams) and 1 gram is 0.773 grams.

Learn more about "difference ":

https://brainly.com/question/17695139

#SPJ11

pls show work its due tomorrow

Answers

Answer:  325

Step-by-step explanation:

15*30-5*5-20*5=325

Answer: 875 square feet.

Step-by-step explanation: (25x30)+(5x20)+25

100 points Please help asap!

Answers

The solution of the system of equations is given by the ordered pair (-2, 2).

Based on the table, a x-value that is a solution to the equation is -2.

The solution to the equations are (-6, 3) and (-4, -5).

An ordered pair which is the best estimate for the solution of the system is: A. (-0.5, -1.75).

How to graphically solve this system of equations?

In order to graph the solution to the given system of equations on a coordinate plane, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection;

8x - 4y = -24    ......equation 1.

4x - 12y = -32  ......equation 2.

Based on the graph shown in the image attached above, we can logically deduce that the solution to this system of equations is the point of intersection of the lines on the graph representing each of them, which lies in Quadrant II, and it is given by the ordered pairs (-2, 2).

Read more on solution and equation here: brainly.com/question/25858757

#SPJ1

600 is writtena s 2^a x b x c^d
where a , b, c and d are all prime numbers
Find the value of a,b,c and d

Answers

Answer:

a = 3

b = 1

c = 5

d = 2

Step-by-step explanation:

To find the prime factorization of 600, we can use trial division by dividing by the smallest prime numbers until we reach a prime factor:

600 ÷ 2 = 300

300 ÷ 2 = 150

150 ÷ 2 = 75

75 ÷ 3 = 25

25 ÷ 5 = 5

Therefore, the prime factorization of 600 is:

600 = 2^3 × 3^1 × 5^2

So, a = 3, b = 1, c = 5, and d = 2.

If Mikal uses all his money to buy one type of flour, he has exactly enough money to buy either 12 pounds of wheat flour, or 6 pounds of rice flour, or 4 pounds of almond flour. If Mikal uses all his money to buy an equal number of pounds of all three types of flour, what is the total number of pounds of flour that he can buy?

Answers

The total number of pounds of flour he can buy is 7 pounds of flour

Let's assume that Mikal has $1 to spend on flour. According to the problem, he can buy:

- 12 pounds of wheat flour for $1, which means that the price of wheat flour is 1/12 = $0.0833 per pound.

- 6 pounds of rice flour for $1, which means that the price of rice flour is 1/6 = $0.1667 per pound.

- 4 pounds of almond flour for $1, which means that the price of almond flour is 1/4 = $0.25 per pound.

If Mikal spends $1 on an equal amount of all three types of flour, he will spend $1/3 = $0.3333 on each type of flour. To determine how many pounds of each type of flour he can buy, we need to divide $0.3333 by the respective price per pound of each type of flour:

- Wheat flour: $0.3333 / $0.0833 per pound = 3.9996 pounds (rounded to 4 pounds)

- Rice flour: $0.3333 / $0.1667 per pound = 1.9998 pounds (rounded to 2 pounds)

- Almond flour: $0.3333 / $0.25 per pound = 1.3332 pounds (rounded to 1 pound)

Therefore, Mikal can buy 4 pounds of wheat flour, 2 pounds of rice flour, and 1 pound of almond flour with $1. The total number of pounds of flour he can buy is:

4 + 2 + 1 = 7 pounds of flour.

To know more about pounds, visit:

https://brainly.com/question/29181271#

#SPJ11

Find the length of the midsegment of the trapezoid

2n-2
N+12
4n+6

Answers

Answer: To find the length of the midsegment of a trapezoid, you need to add the lengths of the two bases together and divide by 2.

The length of the top base is 2n-2 and the length of the bottom base is 4n+6.

Adding the two bases together gives:

(2n-2) + (4n+6) = 6n + 4

Dividing by 2 gives:

(6n + 4) / 2 = 3n + 2

Therefore, the length of the midsegment of the trapezoid is 3n + 2.

What is the value of 200 + 3 (8 3/4) + 63.25

Answers

Answer:

289.5

Step-by-step explanation:

200+26.25+63.25

289.5

Simplify the expression

Answers

The answer is 6

You have to do -4x9= - 36
Then -36 / -6=6. Minus / Minus = plus

Suppose that the future price p(t) of a certain item is given by the following exponential function. In this function, p(t) is measured in dollars and r is the


number of years from today.


pt) = 2000(1. 039)'


QD


Find the initial price of the item.


SU


Does the function represent growth or decay?


O growth O decay


By what percent does the price change each year?

Answers

The price of the item increases by approximately 3.93% each year.

Find out what is the initial price of the item and what percentage of the price changes each year?

The initial price of the item is the value of p(0), which can be obtained by setting r=0 in the given function. Therefore:

p(0) = 2000(1.039)^0 = 2000

So the initial price of the item is $2000.

To determine whether the function represents growth or decay, we need to look at the value of the base of the exponential function, which is 1.039 in this case. Since this value is greater than 1, the function represents growth.

To find the percentage change in price each year, we can calculate the percentage increase from the initial price to the price after one year (r=1):

p(1) = 2000(1.039)^1 = 2078.60

The percentage increase from $2000 to $2078.60 is:

((2078.60 - 2000)/2000) x 100% ≈ 3.93%

Therefore, the price of the item increases by approximately 3.93% each year.

Learn more about Percentage.

brainly.com/question/14267101

#SPJ11

Write the equation in factored form:

so x= what values?

What do the solutions for x mean?

x2−4x−21=0

Answers

x2 - 4x -21=0
For factorising first split the middle
term - 4x as - 7x and + 3x as -7x + 3x
- 4x and (-7x) (3x) = - 21 x2
=×2-7× +3x -21=0
= x (x-7) + 3(x -7) = 0
= (x + 3) (x - 7) = 0
Hence. the factors of x2 - 4x - 21 =
O are (x + 3) and (x - 7).

A manufacturer makes aluminum cups with a volume of 10 cubic centimetres cach, in the form of right circular cylinders open at the top. Find the dimensions that would require the least amount of material.

Answers

The dimensions that require the least amount of material are r = (10/π)^(1/3) cm for the radius and h = (10/π)^(1/3) cm for the height.

To minimize the amount of material used for making aluminum cups with a volume of 10 cubic centimeters, you will need to optimize the dimensions of the right circular cylinders.

Given the volume (V) is 10 cm³, the formula for the volume of a right circular cylinder is V = πr²h, where r is the radius and h is the height.

10 = πr²h

To minimize the material used, we want to minimize the surface area (SA) of the open cylinder, which is given by the formula SA = 2πrh + πr² (the first term represents the lateral surface and the second term the base).

Using the volume formula, we can find a relationship between r and h:

h = 10 / (πr²)

Now substitute this expression for h in the surface area formula:

SA(r) = 2πr(10 / (πr²)) + πr²
SA(r) = 20/r + πr²

To find the minimum surface area, differentiate SA(r) with respect to r and set the result equal to zero:

d(SA)/dr = -20/r² + 2πr

Now solve for r:

0 = -20/r² + 2πr
20/r² = 2πr
r³ = 10/π

Now take the cube root of both sides:

r = (10/π)^(1/3)

To find the height, substitute this value of r back into the expression for h:

h = 10 / (π((10/π)^(1/3))²)
h = (10/π)^(1/3)

The dimensions that require the least amount of material are r = (10/π)^(1/3) cm for the radius and h = (10/π)^(1/3) cm for the height.

To learn more about surface area, refer below:

https://brainly.com/question/29298005

#SPJ11

A window in the shape of a parallelogram has a base of 36 inches, and a height of 45 inches. What is the area?

Answers

The area of a parallelogram is given by the formula:

$\sf\implies{\boxed{A = bh}}$

where $b$ is the length of the base and $h$ is the height.

In this case, the base is 36 inches and the height is 45 inches, so the area of the parallelogram is:

$\sf\implies\:A = bh = 36 \cdot 45 = 1620$

Therefore, the area of the parallelogram-shaped window is 1620 square inches.

[tex]\begin{align}\colorbox{black}{\textcolor{white}{\underline{\underline{\sf{Please\: mark\: as\: brillinest !}}}}}\end{align}[/tex]

[tex]\textcolor{lime}{\small\textit{If you have any further questions, feel free to ask!}}[/tex]

[tex]{\bigstar{\underline{\boxed{\sf{\color{red}{Sumit\:Roy}}}}}}\\[/tex]

Answer:

1620 inches ^2

Step-by-step explanation:

The area of a parallelogram is simply put as:

A=bh

where b is base and h is height

Given b is 36 and 45 is our h, we can now solve for the area.

A=(36)(45)

A=1620

Friendly reminder:

When multiplying two of the same units, remember to square them to have the correct labeling, so in conclusion, our answer is:

1620 inch.^2

Other Questions
In this problem you will only find the models. But make sure that you show all work to supportyour answers. Use function notation in your final answers.Suppose two types of wire will be used to form the edges of a rectangle. The wire usedfor the width costs $2.50 per foot and the wire used for the height costs $4.25 per foot. Express the total cost of building the rectangle out of wire as a function of the with if theenclosed area must be 500 square feet. how did immigration impact the North? Question 2 of 10When gathering information, which of the following tasks might you need toperform?OA. Seek out ideas from others and share your own ideasOB. Study objects, conduct tests, research written materials, and askquestionsC. Fill out forms, follow procedures, and apply math and scienceO D. Apply standards, such as measures of quality, beauty, usefulness,or ethics Painting titled landscape with the fall of icarus which statement most clearly summarizes the conclusion drawn from analyzing landscape with the fall of icarus? the painting shows the tragedy of one man's death. the painting shows the insignificance of one man's death. the painting shows the influence of nature on humans. Find the curve in the xy plane that passes through the point (9,8) and whose slope at each point is 6 sqrt x As a new medical assistant in what ways can u reduce confusion and be sure physicians receive the proper medical records Which statement most clearly describes an imperialistic attitude? Problem 68 An outdoor adventure club has 35 members, who are all either rock climbers or skiers. There are 3 more rock climbers thanthere are skiers. How many climbers are there?WHOEVER ANSWERS FIRST GETS BRAINLIEST AND ANSWER FAST FOR WHOEVER GOTS THE HIGHEST BRAILIEST I WILL GIVE THEM THE BRAINLIEST POINT if a zero order reaction has a rate constant of 0.0119mhr and an initial concentration of 5.19 m, what will be its concentration after precisely two days? your answer should have three significant figures (round your answer to two decimal places) Why does the narrator decide to cross under the state road?in the story The snapping turtle Harrison Bergeron" is written from the third person perspective. Rewrite or continue the story from the 1st person point of view. From the perspective of one of the characters, describe what it is like to wear the handicaps described in the story. you are caring for a patient on the memory care unit who experiences Sundowning Syndrome. Which of the statement is true? A student wants to compare the amount of money that two local movie theaters make over a two-week period for the last nightly showing of a particular movie. The following box plots show the data for the amount of money each theater makes over the period. Compare the median of each box plot. What happened to the sound wave when it encountered air of a different temperature?(A) The sound wave changes speed and direction, bending away from the denser air and towards less dense air. (B) The sound wave changes speed and direction, bending away from the less dense air and towards more dense air(C) The sound wave changes direction but not speed, bending away from the less dense air and towards more dense air. (D) The sound wave changes direction but not speed, bending away from the denser air and towards less dense air Most state workers' compensation statutes exempt each of thefollowing exceptMultiple Choicea full-time custodial worker employed at a local store. a housekeeper who injures her back while vacuu When making a camera exposure the method for controlling precise exposure and tone placement is to :point and praymeter highlights and open up 5 stopsmeter shadows with detail and stop down 2 stopsalways trust the camera the expression x^2-8x+6 can be written in the form (x-p)^2+q WILL GIVE BRAINLYES, 5 STARS, AND A THANKSChoose an amount between $50.00 and $60.00 to represent the cost of a meal for a family. Be sure to include dollars and cents.Part A: If the family has a 15%-off coupon, calculate the new price of the meal. Show all work or explain your steps. (2 points)Part B: Calculate a 20% tip using the new price. What is the final cost of the meal? Show all work or explain your steps. (2 points) A particle (q = -4. 0 C, m = 5. 0 mg) moves in a uniform magnetic with a velocity having a magnitude of 2. 0 km/s. And a direction that is 50 away from that of the magnetic field. The particle is observed to have an acceleration with a magnitude of 5. 8 m/s2. What is the magnitude of the magnetic field? E-Eyes just issued some new 20/20 preferred stock. The issue will pay an annual dividend of $11 in perpetuity, beginning 16 years from now. If the market requires a return of 4. 1 percent on this investment, how much does a share of preferred stock cost today