The rectangle below has an area of 70y^8 + 30y^6. The width of the rectangle is equal to the greatest common monomial factor of 70y^8 and 30y^6. What is the length and width of the rectangle?​

Answers

Answer 1

Answer:

Length: 7y^2+3

Width: 10y^6

Step-by-step explanation:

Given that the rectangle has an area of 70y^8 + 30y^6.

The width of the rectangle is equal to the greatest common monomial factor of 70y^8 and 30y^6.

First let us get the width;

70y^8 = 7 * 10 * y^2 * y^6

30y^6 = 3 * 10 * y^6

Since 10y^6 is common to both factors, hence the width of the rectangle will be 10y^6

Given;

Area = Length * width

A(x) = W(x)*L(x)

A(x) = 70y^8 + 30y^6

A(x) =  10y^6(7y^2+3)

On comparison

L(x) = 7y^2+3

Hence length is 7y^2+3 and width is 10y^6


Related Questions

Consider the following question: How many years has each person played on the soccer team? Which best describes the question? It is a statistical question because the data may vary for each player. It is a statistical question because the data will all be the same. It is not a statistical question because the answers are all whole numbers. It is not a statistical question because there is only one answer per person.​

Answers

Answer:

Its the first one

Step-by-step explanation:

It is a statistical question because the data may vary for each player. :)

Find the area of the figure.
7 cm
4 cm
4 cm
10 cm
10 cm
8 cm
19 cm
area cm2

Answers

Answer:

3404800

Step-by-step explanation:

7 x 4 x 4 x 10 x 10 x 8 x 19 x 2 = 3404800

Hope this helps!!!

(PLZ HELP DUE IN 10 MIN)
Eber can mow 4 lawns in one hour. The equation l = 4h can be used to determine the number of lawns, 1. Eber can
mow in h hours. Create a graph to represent the number of lawns Eber can mow in 0 to 5 hours. Click on the
coordinate plane to place the points in the correct locations.

Answers

Answer:

See attachment for plot

Step-by-step explanation:

Given

[tex]l = 4h[/tex]

Required

Represent the scenario on a graph

When h = 0

[tex]l = 4h= 4 * 0 = 0[/tex]

When h = 1

[tex]l = 4 * 1 = 4[/tex]

When h = 2

[tex]l = 4 * 2 = 8[/tex]

When h = 3

[tex]l = 4 * 3 = 12[/tex]

When h = 4

[tex]l = 4 * 4 = 16[/tex]

When h = 5

[tex]l = 4 * 5 = 20[/tex]

So, we have:

[tex](h,l) = (0,0)[/tex]

[tex](h,l) = (1,4)[/tex]

[tex](h,l) = (2,8)[/tex]

[tex](h,l) = (3,12)[/tex]

[tex](h,l)= (4,16)[/tex]

[tex](h,l)= (5,20)[/tex]

See attachment for plot

How can you get a good credit score?
Pay credit card and loan payments late.
Don't apply for credit.
Pay your loan payments on time, every time.
Go above your credit limit.

Answers

Answer:

Pay your loan payments on time, every time.

Step-by-step explanation:

The other answers either hurt or have no effect on your credit score.

The option 2 and 3 is right get a good credit score. Avoid the options 1 and 4.

To get a good credit score, you should follow these steps:

Pay your loan payments on time, every time: Timely payments are one of the most crucial factors in building a good credit score. Consistently paying your bills and loans on or before the due date shows lenders that you are a responsible borrower.

Don't apply for credit excessively: Each time you apply for new credit, a hard inquiry is made on your credit report, which can temporarily lower your score. Applying for multiple credit accounts in a short period may signal financial instability to lenders.

Avoid options 1 and 4:

Paying credit card and loan payments late: Late payments negatively impact your credit score and show a lack of responsibility in managing credit.

Going above your credit limit: Maxing out your credit cards or going above the credit limit can harm your credit score as it indicates a higher risk of defaulting on your debts.

Hence, the option 2 and 3 is right get a good credit score. Avoid the options 1 and 4.

Learn more about Loan here:

https://brainly.com/question/11794123

#SPJ6

what's the slope for coordinates (-5,-5) (5,3)?

Answers

Answer:

4/5

Step-by-step explanation:

slope = (difference in y)/(difference in x)

slope = (-5 - 3)/(-5 - 5)

slope = -8/(-10)

slope = 4/5

A shopkeeper earns a profit of rupees 300 on Monday, a loss of rupees 150 on Tuesday, than a loss of rupees 200 on Wednesday and profit of rupees 50 and rupees 75 on thursday and friday respectively.Find his net profit or loss in 5 days.​

Answers

Answer:

75 rupees in net profit

Step-by-step explanation:

Loss indicates subtraction, and profit indicates addition

300-150-200+50+75=75

what is 15.9% of 261​

Answers

Answer:

41.499

Step-by-step explanation:

Answer:

41.499

Step-by-step explanation:

261x15.9%=261x159/100=41.499

Plz help me well mark brainliest if correct.....??

Answers

Answer:

C

Step-by-step explanation:

I think it’s C because under the numbers it says pets they own so the x has to be the fourth graders

Answer:

C

Step-by-step explanation:

It says it below the number line!! hoped this helped

Use the Law of Cosines to find the measure of ∠A. Round to the nearest degree.

a = 12, b = 5, c = 9

Use: a² = b² + c² – 2bc cos A

Answers

Answer:

Solution given:

a = 12, b = 5, c = 9

We have

: a² = b² + c² – 2bc cos A

12²=5²+9²-2×5×9 cos A

12²-25-81=-90 cos A

cos A=38/-90

A=cos -1(-19/45)

A=115°

is a required answer.

HELPP IF WRONG ILL REPROT
A store employee conducted a survey of 590 randomly selected customers. According to the survey, 177 of the customers often use coupons.

How many people would you expect to use a coupon if all 5,000 people in the community visited the store?

Question 7 options:

5,310 people


1,250 people


3,750 people


1,500 people

Answers

Answer:

Solution given

:total n[U]=590

customers using coupon n[C]=177

the percentage of all customers who often use coupons=177/590×100%=30%.

If n[U]=5000

no of customer using coupon be x

we have

30% of 5000=x

x=30/100×5000

x=1500

So1500 people would you expect to use a coupon if all 5,000 people in the community visited the store.

Reflect P (-5,10) over the x-axis. What are the coordinates of the reflected point? What quadrant is the reflected point in?

Answers

Answer:

I need the answer 2 QwQ....

Find the perimeter of a quadrilateral with vertices at C (-2, 1), D. (2, 4), E (5,0), and. F (1, -3)
12 units
O 16 units
O 20 units
O 24 units

Answers

It is 20 units and I think you should go with it

Daniel measures the growth of his tomato plant and records the results in the table.
What was the average rate of growth during this time period for his plant to thenearest tenth?

Answers

Answer:

1.2

Step-by-step explanation: it just is

A new car is purchased for $18,000 and over time its value depreciates by one half
every 4 years. What is the value of the car 17 years after it was purchased, to the
nearest hundred dollars?

Answers

Answer:

900

Step-by-step explanation:

THIS IS THE CORRECT ANSWER

What is the answer for 1/2 + 1/2?

Answers

Answer:

1 is the answer to 1/2+1/2

Answer:

1

Step-by-step explanation:

if you add 1/2 and 1/2, you get 2/2 which is also equal to 1.

what is the factored from of the polynomial function f(x)=x3-6x2+11x-6

Answers

Answer:

[tex]f(x) =(x-1)(x-2)(x-3)[/tex]

Step-by-step explanation:

Given

[tex]f(x) = x^3-6x^2+11x-6[/tex]

Required

The factored form

[tex]f(x) = x^3-6x^2+11x-6[/tex]

Split

[tex]f(x) =x^3 -3x^2- 3x^2 +2x +9x -6[/tex]

Rearrange as:

[tex]f(x) = x^3 -3x^2 +2x - 3x^2+9x -6[/tex]

Factorize

[tex]f(x) = x(x^2 - 3x + 2) - 3(x^2 - 3x + 2)[/tex]

Factor out [tex]x^2 - 3x + 2[/tex]

[tex]f(x) = (x^2 - 3x + 2)(x - 3)[/tex]

Expand

[tex]f(x) = (x^2 - 2x - x + 2)(x - 3)[/tex]

Factorize

[tex]f(x) = (x(x - 2) - 1(x - 2))(x - 3)[/tex]

Factor out [tex]x - 2[/tex]

[tex]f(x) = (x - 1) (x - 2)(x - 3)[/tex]

I need help with all 4 questions plz

Answers

2x is the highest common factor of the expression

The following two-way table describes student's
after school activities. Find the probability that a
randomly selected student works, given that it's a
senior.
Grade
Sports
Music/Drama
Work
Sophomore
20
7
3
Junior
20
13
2
Senior
25
5
5
P( Work | Senior) = [?]
Round to the nearest hundredth.

Answers

Answer:

[tex]P(Work | Senior) = 0.14[/tex]

Step-by-step explanation:

Given

The attached table

Required

[tex]P(Work | Senior)[/tex]

This is calculated using:

[tex]P(Work | Senior) = \frac{P(Work \ n\ Senior)}{P(Senior)}[/tex]

This gives:

[tex]P(Work | Senior) = \frac{n(Work \ n\ Senior)}{n(Senior)}[/tex]

From the table:

[tex]n(Work \ n\ Senior) = 5[/tex]

[tex]n(Senior) = 25 + 5+ 5 = 35[/tex]

So:

[tex]P(Work | Senior) = \frac{5}{35}[/tex]

[tex]P(Work | Senior) = 0.14[/tex]

Answer:

14%

Step-by-step explanation:

add 25+5+5 (because that is all the numbers in the 'Seniors' row) and then take the 5 that is in the 'Work' column and put that over 25. (5/25 fraction as a percent is 14).

I need help, please !

Answers

Answer: the answer is 8 because

Step-by-step explanation:

Someone please help me thank you

Answers

P = 20.6, I hope this helps you!!!!!

Using the sine rule, a/sin(A) = b/sin(B) = c/sin(C)

But we have to have at least two angles and two lengths to equate it to one another. We could find the third angle in this triangle to use as our second angle, but we do not know the value of x, so we have to find the second length.

To do that, we use Pythagoras theorem;

a^2 = b^2 + c^2

a^2 = 7^2 + 5^2

a^2 = 49 + 25

a^2 = 74

square root both sides to get rid of the square on a:

a = sqrt(74)

a ~ 8.60

Now we can apply our sine rule. Note that the lengths and angles are the ones opposite each other. For example, the corresponding angle of 8.60 is 90° and the one for 5 is x°.

So,

8.60/sin(90) = 5/sin(x)

8.60/1 = 5/sin(x), since sin(90) = 1

Make sin(x) the subject,

sin(x) = 5/8.60

sin(x) = 0.5814

x = sin^-1(0.5814)

x ~ 35.6°

Which set of three angles could represent the interior angles of a triangle?
O 19°, 70°, 91°
O 47°, 12°, 31°
O 50°, 20°, 20°
O 25°, 25°, 100°​

Answers

Answer:

19 degrees, 70 degrees, and 91 degrees.

Step-by-step explanation:

The interior angles of a triangle sum to 180 degrees. 19 plus 91 is equal to 110, add 70 to 110 and you'll get 180. :)

19 70 and 91 because that is the answer

.a) Imagine you and your friend get a new card with an 18% APR and a $10 minimum payment and use this card to purchase the same mobile phone. If the first friend pays the minimum each month, while the second friend pays $20, what will their balances be after one month?

Answers

Answer:

yes

Step-by-step explanation:

yes yes you need to do the thing yeah

Answer:

yes

Step-by-step explanation:

a) Imagine you and your friend get a new card with an 18% APR and a $10 minimum payment and use this card to purchase the same mobile phone. If the first friend pays the minimum each month, while the second friend pays $20, what will their balances be after one month?

Please help me solve this problem

Answers

Answer:

90°

Step-by-step explanation:

It's simple, the angle of a line is 180°

∠EFG=90°

Line GD-∠EFG=180°-90°=90°

Please mark brainliest!

Help please
(Worth 10 points)
Please respond with a actual answer
*No robots no bad links*

Answers

The dude typing gonna help u

Tammy has scored 82, 78, and 93 on her previous three tests. What score does she need on her next test so that her average (mean) is 81?

Answers

Answer:

She needs a grade of 71 on her next text.

Step-by-step explanation:

Mean of a data-set:

The mean of a data-set is the sum of all values in the data-set divided by the number of values.

Tammy has scored 82, 78, and 93 on her previous three tests.

Thus, her grades are 82, 78, 93 and x, in which x is her grade in the fourth test.

There are 4 tests.

What score does she need on her next test so that her average (mean) is 81?

We have to find x when the mean is 81. So

[tex]\frac{82 + 78 + 93 + x}{4} = 81[/tex]

[tex]253 + x = 324[/tex]

[tex]x = 324 - 253[/tex]

[tex]x = 71[/tex]

She needs a grade of 71 on her next text.

Trying to finish this test at 3:30 am plz help

Answers

Given:

The given sum is:

[tex]\sum _{k=4}^9(5k+3)[/tex]

To find:

The expanded form and find the sum.

Solution:

We have,

[tex]\sum _{k=4}^9(5k+3)[/tex]

The expanded form of given sum is:

[tex]\sum _{k=4}^9(5k+3)=(5(4)+3)+(5(5)+3)+(5(6)+3)+(5(7)+3)+(5(8)+3)+(5(9)+3)[/tex]

[tex]\sum _{k=4}^9(5k+3)=(20+3)+(25+3)+(30+3)+(35+3)+(4+3)+(45+3)[/tex]

[tex]\sum _{k=4}^9(5k+3)=23+28+33+38+43+48[/tex]

[tex]\sum _{k=4}^9(5k+3)=213[/tex]

Therefore, the correct option is C.

A section of a deck is shaped like a trapezoid. For this section, the length of one base is 41 feet, and the length of the other base is 36 feet. The height is 20 feet. What is the area of this section of the deck?

Answers

Answer:

Step-by-step explanation:

4.Kini ang gipasa-pasa nga kinaiya sa pamaagi sa pamuyo sa mga tawo sa
usa ka lugar.
A.Kultura B.Materyal C. Di-Materyal
D.Kinaiya
aano mag two dinhi​

Answers

Answer:

A

Step-by-step explanation:

The answer is A it is Aaaaaa aaaa

Phoenix and Stella found a box with a total of 216
books that needed to be shelved.Phoenix said he can
arrange all the books on 18 shelves with 12 books on
each shelf. Stella says she can arrange all the books
on 9 shelves with 24 books on each shelf. Who is?

Answers

Answer:

432

Step-by-step explanation:

216 + 216

= 432

Hope this helps!

Please mark me Brainliest!

Have a nice day

A study was conducted on students from a particular high school over the last 8 years. The following information was found regarding standardized tests used for college admitance. Scores on the SAT test are normally distributed with a mean of 1070 and a standard deviation of 204. Scores on the ACT test are normally distributed with a mean of 19.1 and a standard deviation of 5.2. It is assumed that the two tests measure the same aptitude, but use different scales.
(A) If a student gets an SAT score that is the 51-percentile, find the actual SAT score. Round answer to a whole number. SAT score =
(B) What would be the equivalent ACT score for this student? Round answer to 1 decimal place. ACT score =
(C) If a student gets an SAT score of 1417, find the equivalent ACT score. Round answer to 1 decimal place. ACT score =

Answers

Answer:

a) SAT score = 1075

b) ACT score = 19.2.

c) ACT score = 27.9.

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.

(A) If a student gets an SAT score that is the 51-percentile, find the actual SAT score

SAT scores have mean 1070 and standard deviation 204, so [tex]\mu = 1070, \sigma = 204[/tex]

51th percentile means that Z has a p-value of 0.51, so Z = 0.025. The score is X. So

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

[tex]0.025 = \frac{X - 1070}{204}[/tex]

[tex]X - 1070 = 0.025*204[/tex]

[tex]X = 1075[/tex]

SAT score = 1075.

(B) What would be the equivalent ACT score for this student?

ACT scores have mean of 19.1 and standard deviation of 5.2, which means that [tex]\mu = 19.1, \sigma = 5.2[/tex]. The equivalent score is X when Z = 0.025. So

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

[tex]0.025 = \frac{X - 19.1}{5.2}[/tex]

[tex]X - 19.1 = 0.025*5.2[/tex]

[tex]X = 19.2[/tex]

ACT score = 19.2.

(C) If a student gets an SAT score of 1417, find the equivalent ACT score.

Z-score for the SAT:

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

[tex]Z = \frac{1417 - 1070}{204}[/tex]

[tex]Z = 1.7[/tex]

Equivalent score on the ACT:

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

[tex]1.7 = \frac{X - 19.1}{5.2}[/tex]

[tex]X - 19.1 = 1.7*5.2[/tex]

[tex]X = 27.9[/tex]

ACT score = 27.9.

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u = 9i 6jv = 7i + 4jA) 63.43C) 173.66B) 109.48D) 101.31 Last year, an organization spent $500 on food for an event 100 people attendeThis year, they plan for 120 people to attend the event. Food costs the same perperson as it did last year. From last year to this year, what is the percent change inthe money the organization spends on food? Show your work. A circle has a radius of 3 feet. Use 3.14 for , and drag and drop the correct answers for each problem below.A. What is the area of the circle? B. What is the diameter of the circle? C. What is the circumference of the circle? What does a shaded square mean on a pedigree A bag contains 4 red marbles, 9 blue marbles, and 7 white marbles. What is the probability of picking neither a blue nor a white marble? What is the surface area of the figure? List the ways the Ming and Qing dynasties tried to limit contacts between Europeans and the Chinese people. Why did the British initially accept the restrictions Why would the volumes of the two figures be the same? Why have books, films, and plays been written about Vincent Chin and his mother Lily Chin? Be specific. my mother -------- coffee every day after lunchA.drinksB.drinkC.will drinksD.drank its a final help me ......................... 63aplease help me All four candidates were not on the ballot in every state. Using the data provided, cit evidence to support this information?Election of 186 questions 3. For each environment below, describe why you think it would have a high or lowrate of speciation.A rugged mountain terrain (1 points)wA large, open forest (1 points)An island in the ocean (1 points) Solve (4x 3) > 5 for x. Which of the following is not a combination? Question isWhen a cell needs to get rid of waste products and push them OUT OF THE CELL, which term best describe the process by whichcells release substances from the cell?A. endocytosisB. phagocytosisC. exocytosisD. pinocytosis 7 has been subtracted from the product of x and 7= Escoge la mejor respuesta , segn el contexto. 26.) No puedo estar tranquila si no. me llamabas me llamaras me llames me llamas You want to wrap a gift shaped like the regular triangle prism, how many square inches of wrapping paper do you need to completely cover the prism