Which expression is equivalent to (-3m-2n³)²(4mn²p-4)?

Answers

Answer 1

Answer:

Step-by-step explanation:

(-3m-2n³)²(4mn²p-4)

= (-3m-2n³)(-3m-2n³)(4mn²p-4)

= (9m^2 +6mn^3 + 6mn^3 + 4n^6)(4mn²p-4)

= (9m^2 + 12mn^3 + 4n^6)(4mn²p-4)

= 36m^3n^2 p + 48m^2n^5 p - 36m^2 + 16mn^8 p - 48mn^3 -16 n^6


Related Questions

A man holds a note of ​$6,000 that has an interest rate of 11​% annually. The note was made on March 17 and is due November 14. He sells the note to a bank on June 13 at a discount rate of 10​% annually. Find the proceeds on the​ third-party discount note.​ (Use the​ banker's rule.)

Answers

The value of the proceeds on the third party discount note for the specified condition is $5968.28

How to calculate proceeds?

Proceeds is the difference between maturity value of the original rate and the third party discounts. Or,

Proceeds = Maturity value of the original rate - Third party discounts

How to calculate the maturity value of the original rate?

Let we take:

P = principal amount on which interest will be applied.R = interest rateT= time period for which interest will be applied,

Then we get:

Maturity value = P(1 + RT) (use decimal value of R instead of percent. For that, divide the percentage value by 100 to convert it to decimal (if its in percent) ).

How to calculate the third party discounts?

Third party discount is the multiplication result of the maturity value of the original rate to the rate of interest and time period.

Thus, we get:

Third party discount = Maturity value × R × T (R in decimal form).

For this case, we're specified that:

P = principal amount on which interest will be applied = $6000Rate of interest = R = 11% = 0.11 (in decimal form) (annually)Time = from 17th march till 14th november.

Using banker's rule (which assumes 360 day year with 30 day months), we get:

Number of days from 17th march till 14th november = number of days from 17th march till 16th november - 2 = [tex]8 \times 30 - 2 = 238[/tex] (as there are 8 months in between, all of assumingly 30 days)

Converting this to year, we get:

[tex]T = \dfrac{238}{360} \approx 0.661[/tex] years.

Thus, we get:

Maturity value = [tex]P(1 + RT) \approx 6000 (1 + 0.11 \times 0.661) = 6436.26 \: \rm dollars[/tex]

And therefore, we get:

Third party discount =  Maturity value × R × T = [tex]6436.26 \times 0.11 \times 0.661 \approx 467.98 \: \rm dollars[/tex]

Thus, the value of the proceeds on the third-party discount is:

maturity value - third party proceeds = [tex]6436.26 - 467.98 = 5968.28 \: \rm dollars[/tex]

Thus, the value of the proceeds on the third party discount note for the specified condition is $5968.28


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What is answer?

Not really good. At this

Answers

J
Because 15 - 13 is 2 x (8 + 4 = 24 and divided by 6 is 4

PLEASE HELP WILL MARK BRAINLIEST THANK YOU

Answers

Answer:

y = -1/4x + 8

Step-by-step explanation:

original line is y - 4x = 4

y = 4x + 4

dy/dx = 4

gradient of line perpendicular to the original line

= -1/4

thus answer is y = -1/4x + 8

hope this helps!

If a tax of $6.75 is charged on an $84.37 purchase, what is the sales tax rate?

Answers

Answer:

8%

Step-by-step explanation:

[tex] \frac{6.75}{84.37} = .08[/tex]

solve the given equation state the number and type of roots x^2-5x-36=0

Answers

We can solve this quadratic equation using factorisation method as follows

:x2−5x−36=0

x2+4x−9x−36=0

x(x+4)−9(x+4)=0

(x+4)×(x−9)=0

x+4=0orx−9=0

x=−4orx=9

What is 3,235 divided by 20?

Answers

Answer:

161.75

(You can use a calculator to calculate this)

Answer:

161.75

Step-by-step explanation:

Topic: Labor Economics.

Need solution for tasks 4 4.1 4.2 4.3

Answers

The curves of the labor market are illustrations of demand and supply, and the curves are all linear functions

4.1: The graph of the curves of the labor market

The equations are given as:

D = 36 - 2W

S₁ = 9 + W ---- domestic (i.e. without immigrants)

S₂ = 10 + 2W ---- total (i.e. including immigrants)

See attachment for the graph

4.2: The equilibrium wage rate before immigration

This is the point of intersection between the curves of S₁ and D.

From the graph, we have:

(W, D) = (9,18)

Hence, the equilibrium wage rate before immigration is $9, and the number of workers that would be hired is 18

4.3: The equilibrium wage rate after immigration

This is the point of intersection between the curves of S₂ and D.

From the graph, we have:

(W, D) = (6.5,23)

Hence, the equilibrium wage rate after immigration is $6.5, and the number of workers that would be hired is 23

4.3.1: Number of domestic workers hired

Substitute 6.5 for W in S₁ = 9 + W

S₁ = 9 + 6.5

S₁ = 15.5

Remove decimal

S₁ = 16

Hence, the number of domestic workers that would be hired is 16

4.3.1: Number of immigrants hired

Substitute 6.5 for W in S₂ = 10 + 2W

S₂ = 10 + 2 * 6.5

S₂ = 23

Subtract S₁ = 16 from S₂ = 23

Immigrants = 23 - 16

Immigrants = 7

Hence, the number of immigrants that would be hired is 7

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what is the raidus of the cone in the diagram. height = 12 units Volume = 201.06 cubic unit

Answers

Answer:

4 units (nearest whole number)

Step-by-step explanation:

Formula

[tex]\textsf{volume of a cone}=\dfrac13 \pi r^2h[/tex]

Solution

Given:

volume = 201.06 units³height = 12 units

[tex]\implies 201.06=\dfrac13 \pi r^2(12)[/tex]

[tex]\implies 201.06=4 \pi r^2[/tex]

[tex]\implies r^2=\dfrac{201.06}{4 \pi}[/tex]

[tex]\implies r=\sqrt{\dfrac{201.06}{4 \pi}}[/tex]

[tex]\implies r=3.999980804...[/tex]

Therefore, the radius of the cone is 4 units (nearest whole number)

5.
6.) Mrs. Allison is making a blanket for her horse. She has 16 feet of fabric. Mrs. Allison cut
three pieces of fabric and each piece is 4 feet. How much fabric is left?

Answers

3•4=12
16-12=4

She has 4feet left

Given points​ P, Q,​ R, and​ S, decide whether PQ and RS are​ parallel, perpendicular, or neither.
P​ (9,10) Q(10,3) R (-9,4) S (-2,5)

Answers

Answer:

Opposite Sides of Parallelogram are equal

If All opposite sides are equal , it is Parallelogram

For this You need to use distance formula that is

√(x2-x1)2+(y2-y1) 2

Joe read 140 pages of his 300- page book. What percent of the book has he read?

Answers

Answer:

47 percent

Step-by-step explanation:

140/300divide by 347/100percentages are out of 100 so it is 47

What is the total cost of 8 loaves of bread at £1.38 each?

Answers

Answer:

£11.04

Step-by-step explanation:

1.38 x 8 = 11.04

Justin recently drove to visit his parents who live 720 miles awayOn his way there his average speed was 11 miles per hour faster than on his way home (he ran into some bad weather)If Justin spent a total of 24 hours drivingfind the two rates

Answers

Answer:

48hours drivinh from two rates

number 9 and 10, please

Answers

Answer:9 is g and b

Step-by-step explanation:

because they all involved the answer

In the similar quadrilaterals below, what angle corresponds to ∠C? ∠H ∠G ∠F ∠E

Answers

we need to see the shapes

Find the Product and Combine similar terms.
1. -1(7+4b) =
2. x(x²–2xy+y²) =
3. -5x(-3+x) =​

Answers

-1(7+4b) - distribute the -1 to the expression
(-1 * 7) + (-1 * 4b) — ( + and - = - )when it is multiplied
= -7 - 4b — there is no like term to added to subtracted so it will stay as like

x(x^2 - 2xy+y^2) distribute x to all
= x(x^2) - x(2xy) + x(y^2)
= x^3 - 2x^2y + xy^2 in multiplication exponent add to similar variable
No like term to connect

-5x(-3+x)
= -5x(-3) -5x(+x). (- and - is +)
= 15x -5x. similar variable x so connect the like connect like term by subtracting them
= 10x


Hover– High helicopters manufacturers radio – control toy helicopters. They have their quality control down to a point we’re only one in 100 built could be defective and returns for repair at a cost to the company of $50. At a profit margin of $10 per unit, what would their profit be per unit after selling 200 copters?

Answers

If a profit margin is $10 per unit, what would their profit be per unit after selling 200 copters is $9.40.

Profit per unit

First step

There are 2 defectives in 200 copters

Total profit=[(200-2)×$10]-($50×2)

Total profit=(198×$10)-$100

Total profit=$1,980-$100

Total profit=$1,880

Second step

Profit per unit=$1,880/200

Profit per unit=$9.40

Therefore their profit be per unit after selling 200 copters is $9.40.

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Help please thank u!! ​

Answers

Answer:

E={1,2,3}

Step-by-step explanation:

First one is the correct answer

The model n(T)= 2^t represents the number of bacteria in a petri dish after c hours
where t= 0 represents the time when the bacteria were first put into the dish.
What is the correct value and interpretation of n (10)

Answers

Answer:

1024

Step-by-step explanation:

n(10) =2^10

n(10) = 1024

A box of 25 munchkins cost $5.46 what is the unit rate per munchkin

Answers

The unit rate per munchkin is $0.22.

What is Division?

Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

The cost of 25 munchkins cost $5.46, therefore, the unit rate of each munchkin can be written as,

[tex]\text{Cost of unit munchkin} = \dfrac{\text{Total cost of munchkins}}{\text{Number of munchkins}}\\\\\text{Cost of unit munchkin} = \dfrac{\$5.46}{25}=\$0.2184 \approx \$0.22[/tex]

Hence, the unit rate per munchkin is $0.22.

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Express q(x)=12x^5+40x^4-32x^3 in the form described in the Linear Factorization Theorem. List each zero and its multiplicity.

Answers

Polynomial is an expression that consists of indeterminates(variable) and coefficients. The multiplicity of 0 is 3, 2/3 is 1 and -4 is 1.

What are polynomials?

Polynomial is an expression that consists of indeterminates(variable) and coefficients, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

Given polynomial equation q(x)=12x⁵+40x⁴-32x³, therefore, the factorised form of the equation will be,

[tex]q(x)=12x^5+40x^4-32x^3\\\\q(x)=4x^3(3x^2+10x-8)\\\\q(x)=(4x^3-0)(3x^2+12x-2x-8)\\\\q(x)=(4x^3-0)[3x(x+4)-2(x+4)]\\\\q(x) = (4x^3-0)(3x-2)(x+4)[/tex]

Therefore, the multiplicity of 0 is 3, 2/3 is 1 and -4 is 1.

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Your annual salary is $60,000. What is your semimonthly salary? What is your biweekly salary?​

Answers

Answer:

2,307.69 per biweekly paycheck and 2,500 per semi monthly paycheck

Step-by-step explanation:

If you didn't already know, monthly pay has 12 paychecks, semi-monthly pay has 24 paychecks, biweekly pay has 26 paychecks, and weekly pay has 52 paychecks. If you break down 60k into these paychecks, here are the results: $60,000/12 equals $5,000 (monthly pay) $60,000/24 equals $2,500 (semi-monthly pay)

hope this helps

Solve for an angle in right triangles. Round to the nearest hundredth

Answers

[tex]\bold{ANSWER:}[/tex]
39.81

[tex]\bold{EXPLANATIONS:}[/tex]

Answer:

39.8°

Step-by-step explanation:

Soh Cah Toa

Soh: sine = opposite / hyp

Cah: cos = adj / hyp

Toa: tan = opp / adj

You have 2 sides so you would use tangent

tan θ = 5/6

tan^-1 (5/6)

= 39.8°

Part A Using opposite operations, rewrite the equation so s2 is on one side of the equation by itself. Part B What is the opposite operation of squaring? Using this opposite operation, rewrite the equation from question 1 so s is by itself on one side of the equation. Part C The pyramid of Khufu, also known as the Great Pyramid of Giza, is one of the Seven Wonders of the World. Its volume is about 2,433,400 cubic meters, and its height is about 138 meters. Substitute these values into the equation from Part B, and solve the equation. Part D Search the Internet to find the length of each side of the base of Khufu’s pyramid. Does this length match your calculation? Part E Khafre was a son of Khufu. He also had a pyramid built, but it was not as big as his father’s. The volume of the Pyramid of Khafre is about 2,115,072 cubic meters, and its height is about 136 meters. Approximate the length of each side of the base. Part F Search the Internet to find the length of each side of the base of Khafre’s pyramid. Does this match your calculation? Part G About how much longer are the side lengths of the base of Khufu’s pyramid than Khafre’s?

Answers

Answer:

Part A: S^2= 3V/H

Part B: S =\sqrt{3\frac{v}{h} }

Part C: s=√3* 2,433,400 /138=230 metres

Part D: This website says that the length of Khufu’s Pyramid is about 230 meters. My calculation was correct.

Part E: S = √3*2,115,072/ 136 =216 metres

Part F: The length of Khafre’s pyramid is about 215.5 My calculation was a little off, but not by much.

Part G: 14 meters longer

Step-by-step explanation:

Part A:

I am going to solve:

So,

V=1/3 HS^{2}

Then, multiply both sides by 3:

V x 3= 1/3 HS^{2} x 3

So,

3V=HS^{2}

Then, we divide by H:

\frac{3V}{H}=\frac{HSs^{2} }{H}

So,

\frac{3V}{H}= s^{2}

Then switch sides:

s^{2}= \frac{3V}{H}

I hope this helps

Step-by-step explanation:

MARK A BRAIN LESS

Answer:

Part A: Inverse operations are operations that undo each other that is they result to the original number or variable.  s2 = 3V / H.

Part B: opposite operation of squaring is taking a square root. S = 3 v/h

Part C: s=√3 2,433,400 /138=230

Step-by-step explanation:

Im sorry thats all I know

What is one disadvantage of a trade school education over a four-year college?
A. The cost will be higher.
B. Your courses will not be as diverse.
C. You will have to study longer.
D. You will be less prepared to work.​

Answers

Answer: B. Your courses will not be as diverse.

Step-by-step explanation:

      A four-year college will have many different classes and courses you can take in different areas. Trade school courses focus on a specific skill, such as being a dentist or an electrician. This means the answer to your question is;

         B. Your courses will not be as diverse.

Answer: B: Your courses will not be as diverse

Step-by-step explanation: Trade schools focus on preparing you for a specific trade rather than general studies

A small shipping crate can hold up to 500 pounds. Kelly needs to ship two machine parts that are 255 pounds and 321 pounds. She wants to estimate to see if she can ship both machine parts in the same crate. Complete the statements.

Answers

Answer: no they don't both fit in one box.

Step-by-step explanation: first off, 200 plus 300 is 500, and both numbers are bigger. Then if you wanted to round it to the nearest 10, you would get 580. 580>500 so yeah. that won't work.

What number would you divide by to calculate the mean of 2, 5, 4, and 3?

Answers

To determine the number that you would divide by to calculate the mean:

   ⇒ must determine the definition of the mean

Definition of Mean: a single number taken as representative of a list of numbers, usually the sum of the numbers divided by how many numbers are in the list

Since there are 4 numbers:

 ⇒ the number would you divide by to calculate the mean is 4

Hope that helps!

Answer:

answer is either 1 or 3.5

Step-by-step explanation:

first you need to add all of the numbers together then divide by the amount of numbers ( in this case there are 4 numbers)

2+5+4+3=14

14/4=3.5 which gets you the mean

but sometimes it will want you to go a step further and do this-

finding the distance from each number from the mean found like this!

3.5-2=1.5

5-3.5=1.5

4-3.5=.5

3.5-3=.5

then add these together

1.5+1.5+.5+.5=4

then 4 divided by tghe amount of numbers which is 4

4/4=1 so that is taken a step further but the answer is either

HELP ME WITH THIS IF U PLEASE​

Answers

PART A

WT = 30

30 = 3HF + 2FA

30 = 3x + 2y

2y = 30 - 3x

y = 15 - 3/2x

0 = 15 - 3/2x

3/2x = 15

x or EH = 10

y = 15 - 3/2(10)

y = 15 - 15

y or FA = 0

Okay so this problem doesn't make sense because FA cannot = 0. I know I did the first part right - change of variables. I'm just not sure if we can use the information in part b to answer part a... Anyway, I hope this helps!


A pair of flip flops is labeled $9 on the price tag. At the register, I paid $9.45. What percent of $9 is $0.45?

Answers

5% of 9 is 0.45.

Why? Well 0.45 times 20 is equal to 9, and 100 divided by 20 is 5 therefore 5 percent.

Meade gave 1/7 of a candy bar to Max and then ate 2/5 of the candy bar himself. What fraction of the candy bar is left?
There is ______ of the candy bar left

Answers

Let's break this problem into a few steps:

First, Meade gave 1/7 of candy to Max

             ⇒ Amount of Candybar: Candy - (1/7)Candy = (6/7)Candy

Second, Meade ate 2/5 of the candy

            ⇒ Amount of Candy left:  

                     Total amount of candy - (2/5) * Total amount of candy

                                                  = (6/7) Candy - (2/5) *(6/7)Candy

                                                  = (1 - (2/5)) * (6/7) Candy

                                                  = 3/5 * 6/7 = 18/35 Candy

Thus there is 18/35 of the candy left.

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