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
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]
(c) [tex]4x\left(x-20\right)^2=4x^3-160x^2+1600x[/tex]
It is a cubic polynomial. Its degree is 3.
Related Questions
If anyone could help it would be great
Answers
Answer:
See the pictureStep-by-step explanation:
Solved, green filled arrows in the pictureThe 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
Hi
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
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!
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
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%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
Read more about radius at:
https://brainly.com/question/9554871
#SPJ2
PLS help
Which of the following statements are true about the solids shown above
Answers
Answer:
kkkkkk
Step-by-step explanation:
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!
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!
Which factorization is equivalent to this expression?
−20x − 5y
Answers
Answer:
[tex] - 20x - 5y \\ - (20x + 5y) \\ = - 5(4x + y)[/tex]
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)
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
Help plz:)))I’ll mark u Brainliest
Answers
Answer:
[tex]sin^{-1}(\frac{51}{53})\\=74.21\\[/tex]
≈74
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:
No
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.
Round 893.38 to the nearest tenth
Answers
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:
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]
pls help!! Need the answer asap!!
Answers
Step-by-step explanation:
19+k=90°
k=90-17
k=71°
stay safe healthy and happy .If you know how to solve this, Please answer it. Thank You
The first one to answer the question right, will get Brainlist!
I PROMISE!!!!!
Answers
y = ( x + 9 )^2 - 2
................................
................................
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
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
Answer:
I believe Option 1, 2 and 4 are all irrational numbers Hope this helps
Step-by-step explanation:
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
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
Help I need this answer ASAP
Answers
Answer: c
Step-by-step explanation: because yes
Answer:
d po answer
yan po sinagot ko
hehe
Help me on this question please. Thx
Answers
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
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
I can Multiply a 4x4 matrix by a 4x3 matrix. The resulting matrix will be a?
Answers
Answer:
21
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