a box is created from a sheet of cardboard 40in. on a side by cutting a square from each corner and folding up the sides. let x represent the lenght pf the sides of squares removed from each corner.
What are the factors of this polynomial?

Answers

Answer 1

Step-by-step explanation:

Given that,

A box is created from a sheet of cardboard 40in. on a side by cutting a square from each corner and folding up the sides.

Let x represent the length of the sides of squares removed from each corner.

(a) The volume of a cuboid is given by :

V = lbh

Put values,

V = x(40-2x)(40-2x)

(b) (40-2x) = -2(x-20)

So,

V = x(40-2x)(40-2x)

= [tex]4x\left(x-20\right)^2[/tex]

It is a cubic polynomial. Its degree is 3.

Related Questions

pls help!! Need the answer asap!!

Answers

Step-by-step explanation:

19+k=90°

k=90-17

k=71°

stay safe healthy and happy .

As you can see, that Angle AOC is 90°,19°+k = 90°k = 90°-19°k = 71°,Option (B) is correct. HOPE IT HELPS YOU!!!

In the figure CE=34 cm and DE=30 cm. What is the radius of the circle?

Answers

The radius divides the diameter into 2, and the radius of the circle is 16 units

How to determine the radius?

The radius of the circle and the tangent line meet at a right angle.

This means that:

CE² = r² + DE² ------ Pythagoras theorem

So, we have:

34² = r² + 30²

Evaluate the squares

1156 = r² + 900

Rewrite as:

r² = 1156 - 900

Evaluate

r² = 256

Take the square root of both sides

r = 16

Hence, the radius of the circle is 16 units

Answers

y = ( x + 9 )^2 - 2

................................

The weight of laboratory grasshoppers follows a Normal distribution, with a mean of 90 grams and a standard deviation of 2 grams. What percentage of the grasshoppers weigh between 86 grams and 94 grams

Answers

Answer:

95.44% of the grasshoppers weigh between 86 grams and 94 grams.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 90 grams and a standard deviation of 2 grams.

This means that [tex]\mu = 90, \sigma = 2[/tex]

What percentage of the grasshoppers weigh between 86 grams and 94 grams?

The proportion is the p-value of Z when X = 94 subtracted by the p-value of Z when X = 86. So

X = 94

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{94 - 90}{2}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a p-value of 0.9772.

X = 86

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{86 - 90}{2}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a p-value of 0.0228.

0.9772 - 0.0228 = 0.9544

0.9544*100% = 95.44%

95.44% of the grasshoppers weigh between 86 grams and 94 grams.

15 POINTS. Ronna is estimating the amount of a 15% tip for a $20.36 bill. Her friend Suri said that $2 is a good estimate. Do you agree? Explain.

Answers

It's not a good estimation. 2 is 10% of 20, so 5% is 1 dollar.

As the bill is above 20, and 15 = 10+5 , so 15% is at least more than 3.

So 3 would be a better estimation.

In fact, 15% of 20.36 is : 20.36 *0.15 = 3.054

PLS help

Which of the following statements are true about the solids shown above

Answers

Answer:

kkkkkk

Step-by-step explanation:

Kristy had a piece of fabric that she cut into 8 equal squares. Each square has area 0.625 ft2. What is the area of Kristy's original piece of fabric?

ft2

PLS HELPPP

Answers

Answer:

5[tex]ft^2[/tex] is the area of the original piece of fabric.

Step-by-step explanation:

0.625 x 8 = 5

y is directly proportional ( x+2)²
when x = 8 y= 250
find y when x = 4

Answers

Answer:

y=90 when x=4

Step-by-step explanation:

We are given that

[tex]y\propto (x+2)^2[/tex]

When x=8 and y=250

We have to find the value of y when x=4

[tex]y=k(x+2)^2[/tex]

Where k= Proportionality constant

Substitute the values

[tex]250=k(8+2)^2[/tex]

[tex]250=100k[/tex]

[tex]k=\frac{250}{100}[/tex]

[tex]k=5/2[/tex]

Now, substitute x=4 and k=5/2

Then, we get

[tex]y=\frac{5}{2}(4+2)^2[/tex]

[tex]y=\frac{5}{2}\times 36[/tex]

[tex]y=90[/tex]

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

[tex]sin^{-1}(\frac{51}{53})\\=74.21\\[/tex]

≈74

Round 893.38 to the nearest tenth

Answers

The answer would be 893.4

Find the simple interest on an investment of $3500 for 2.5 years at
5.5% per annum.
$428.52
$482.52
$418.25
$481.25

Answers

Answer:

$481.25

Step-by-step explanation:

The formula for simple interest is i = p*r*t, in which p is the principal, r is the interest rate as a decimal fraction, and t is the time in years.

Here p = $3500, r = 0.055 and t =2.5 yrs, and so the simple interest is

i = ($3500.00)(0.055)(2.5 yr), or

i = $481.25

louis makes a$15 [er hour working at the mall. which equation represents the total amout of money, d, louis makes in h hours?

Answers

Answer:

15H = D

Step-by-step explanation:

Given that Louis makes $ 15 per hour working at the mall, to determine which equation represents the total amout of money, D, Louis makes in H hours, the following calculation must be performed:

15H = D

So, for example, if Louis worked 10 hours, the equation would operate as follows:

15 x 10 = D

150 = D

If anyone could help it would be great

Answers

Answer:

See the picture

Step-by-step explanation:

Solved, green filled arrows in the picture

In a math class with 20 students, a test was given the same day that an assignment was due. There were 11 students who passed the test and 15 students who completed the assignment. There were 9 students who passed the test and also completed the assignment. What is the probability that a student chosen randomly from the class failed the test and did not complete the homework?

Answers

Answer: 3/20 or .15

Step-by-step explanation:

how to find the vat on 14% of 1800

Answers

Answer:

14/100*1800

25200/100

252

Step-by-step explanation:

therefore vat=252

Which factorization is equivalent to this expression?
−20x − 5y

Answers

Answer:

[tex] - 20x - 5y \\ - (20x + 5y) \\ = - 5(4x + y)[/tex]

-5(4x+y) is the answer ahfjdndickdndndjdjsnsndndnd

Help I need this answer ASAP

Answers

Answer: c

Step-by-step explanation: because yes

Answer:

d po answer

yan po sinagot ko

hehe

Please help meeeeeeee

Answers

Answer:

5040

Step-by-step explanation:

This is a problem of permutation where one has to arrange all the letters of the word taken all at a time. Since in N lettered word if all the letters are different then it can be arranged in N! ways i.e factorial N ways.

In the problem mentioned given

Word : Musical

number of words = 7 (all the words are different)

Number of ways to arrange it = 7!

7*6*5*4*3*2*1 = 5040

Hence 5040 is the answer!

5,040. This is the only logical answer because it has to do with probability.

In this case, you would do 7x6x5x4x3x2x1. all positive numbers after 7. So your answer in that comes out to 5,040.

Hope this helps!

A desktop is shaped like a semicircle with a diameter of 28 what is the area of the desktop?

Answers

Answer:

307.72

Step-by-step explanation:

if the diameter is 28 then the radius is 14 (half of the diameter)

A line passes through the point (2, 10) and has a y-intercept of 4. What is the equation of the line? Help me please

Answers

Step-by-step explanation:

If it's a straight line the use formula

[tex]y = mx + c[/tex]

m= gradient of line

c = y-intercept

we know that y-intercept is 4 so coordinate is

(0,4)

Equation also passes (2,10)

Use both coordinate to find gradient

m= vertical distance / horizontal distance

= (10-4) / (2-0)

= 3

y = 3x + 4

The distance from Kevin's home to his school is 2 kilometers. Adrian lives 750
meters from the same school. How much closer does Adrian live to school than
Kevin?
1>) 250 meters
1>) 550 meters
» 1,250 meters
2,750 meters

Answers

Answer:

see my explanation!!

Step-by-step explanation:

2000-750=1250m

A teacher is interested in performing a hypothesis test to compare the mean math score of the girls and the mean math score of the boys. She randomly selects 10 girls from the class and then randomly selects 10 boys. She arranges the girls' names alphabetically and uses this list to assign each girl a number between 1 and 10. She does the same thing for the boys. She pairs each girl with the boy having the same number. She then performs a paired Do you think that in this situation a paired is the most appropriate procedure?

Answers

Answer:

Step-by-step explanation:

A matched pair design is used when we have two different observation about a certain experiment for each subject such that there is a natural pairing between the two population.

In the scenario described above, we have 20 subjects of which 10 are boys and 10 are girls.

Matching boys and girls having similar numbers does not depict natural pairing and thus using a matched paired test would be inappropriate. The test to use for such experiment is the two population t test.

Of the men in the survey, what percent of them prefer movies? Write your answer as a percent and round to one decimal place.

Answers

Answer:

40%

Step-by-step explanation:

There are 20 men and 8 of them prefer movies.

P = 8/20 = 0.4 = 40%

PLEASEEEEEE IM BEGGING SOMEONE PLEASEEEE HELPPPP PLEASEEEEE PLEASEEEEE SOEMONE HELPPPP PLEASEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

8 nachos and 5 hot dogs

Step-by-step explanation:

Let x equal number of nachos

let y equal number of how dogs

1.5x + 2y = 22

x + y = 13

y = 13 - x

1.5x + 2(13 - x) = 22

1.5x + 26 - 2x = 22

1.5x - 2x = 22 - 26

-0.5x = - 4

x = -4/-0.5

x = 8

y = 13 - x

y = 13 - 8

y = 5

Which numbers are irrational? Select all that apply.

Answers

option 1, 2, & 4 are irrational numbers

Answer:

I believe Option 1, 2 and 4 are all irrational numbers Hope this helps

Step-by-step explanation:

I can Multiply a 4x4 matrix by a 4x3 matrix. The resulting matrix will be a?

Answers

Answer:

Step-by-step explanation:

Help me on this question please. Thx

Answers

The trapezoid was translated Right 6 ,down 5

In ΔDEF, the measure of ∠F=90°, DF = 3, ED = 5, and FE = 4. What is the value of the tangent of ∠E to the nearest hundredth?

Answers

Answer:0.75

Step-by-step explanation:

trust me

Can someone please help and explain how to use the Pythagorean Theorem to prove a triangle is a right triangle.

Answers

Hi there!

For the Pythagorean Theorem, basically you just need to apply this formula: a^2 + b^2 = c^2

And then find the root of the hypotenuse.

For example,

15^2 + 8^2 = the hypotenuse^2

Which equals, 225 + 64 = 289

Square root of 289 = 17

Please mark me brainliest if this helps!

Have a wonderful day!

The diameter of a cone-shaped storage tank is 14 feet and it's height is 9 feet. Find the volume of liquid the tank can hold. Round your answer to the integer, if necessary. Use the approximate of value of /pi , that is 3.14.

Answers

Answer:

461.6 ft³

Step-by-step explanation:

V(cone) = 1/3πr²h

= 1/3π(7²)(9)

= 49·3π

= 147(3.14)

= 461.6 ft³

Other Questions

which of the following is an inherited trait that increases an organism's chance of survival and reproductionA:selective breedingB: adaptationC:mutationD:natural selection Which effects would many organisms likely experience if global warming occurs? Check all that apply.disrupted food websincreased competitionincreased number of glaciersdisrupted life-cycle events forced relocationand any MHA fan to Jenny bought 3 CDs that were each the same price. Including sales tax, she paid a total of $45.30 Of that total, $1.50 was tax. What was the price of each CD before tax?I need the right answer give brainliest A dogsled race had 6 teams with 7 dogs each and 8 teams with 9dogs each.How many dogs raced? Lana earns $7.95 per hour . How much does she earn in 8 ? The passage was most likely written in response to thea. considerable home front opposition faced by the Confederacy to waging the war.b. the initiative and daring shown by the North early in the war.c. the wartime destruction of the Souths infrastructure.d. the greater resources possessed by the North. How have young adults and students played a role in activism or change? Summary on homophobias problems? The Heating Division of Kobe International produces a heating element that it sells to its customers for $42 per unit. Its variable cost per unit is $21, and its fixed cost per unit is $9. Top management of Kobe International would like the Heating Division to transfer 14,500 heating units to another division within the company at a price of $30. Assume that the Heating Division has sufficient excess capacity to provide the 14,500 heating units to the other division. What is the minimum transfer price that the Heating Division should accept John is going to use a rope to pull his sister Laura across the ground in a sled through the snow. The rope makes an angle of 25 with the ground He is pulling horizontally with a constant force of 400 N. John and manages to get the sled going from 0 to 4 m/s in 5 s. The force due to friction on the sled is 310 N. What is the mass of Laura and the sled combined Solve for m. m + 4 3 = 2 what is mHELP MEEEEE!!!!!!!!!!!that is not 43 it is a division sign An opaque bag contains 5 blu marbles, 4 green marbles, and 3 red marbles. If two consecutive marbles are drawn without replacement what is the probability that the first one will be red and the second one will be blue? : For airlines that sell flights from New York City to Boston, Amtrak trains are primarily a __________ Group of answer choices Potential entrant Buyer Supplier Rival Substitute product 1. Which of the following is a newgeneration optical storage device?CDDVDBlu-ray discPen drive Can someone answer these 2 questions?? ill give brainliest!! Which of the following sentences uses pronouns correctly?Brianna assigned extra yard duty to Lucas and me.Brianna assigned extra yard duty to Lucas and I.Brianna assigned extra yard duty to Lucas and mine.All of the choices According to the chart below, which ethnic group has the most deaths as a result of the holocaustDisabled citizens Polish Jews Soviet prisoners of warRomanian jews Professor King finds out that the results of her study on visual and auditory stimuli and activity in the right hemisphere of the brain are statistically significant. What does it mean when the results of a study are statistically significant?A) The results are important.B) There is an operational definition.C) The outcome is not due to chance.D) The results are unreliable.E) The result has been replicated. is "earth's rescue" correct?

a box is created from a sheet of cardboard 40in. on a side by cutting a square from each corner and folding up the sides. let x represent the lenght pf the sides of squares removed from each corner. What are the factors of this polynomial?

Answers

Related Questions

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

a box is created from a sheet of cardboard 40in. on a side by cutting a square from each corner and folding up the sides. let x represent the lenght pf the sides of squares removed from each corner.
What are the factors of this polynomial?