Simplify the expression
( 3n • 2n^3)^2

Answers

Answer 1

Answer:

[tex] \large\color{red}{ \tt{36n⁸}}[/tex]

Step-by-step explanation:

[tex] \large\color{lime}{ \tt{(3n×2n³)²}}[/tex]

To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.

[tex] \large\color{lime}{ \tt{(3n⁴ × 2)²}}[/tex]

Multiply 3 and 2 to get 6.

[tex] \large\color{lime}{ \tt{(6n⁴)²}}[/tex]

Expand (6n⁴)².

[tex] \large\color{lime}{ \tt{6²(n⁴)²}}[/tex]

To raise a power to another power, multiply the exponents. Multiply 4 and 2 to get 8.

[tex] \large\color{lime}{ \tt{6²n⁸}}[/tex]

Calculate 6 to the power of 2 and get 36.

[tex] \large\color{lime}{ \tt{36n⁸}}[/tex]

Hope It's Help


Related Questions

Help please (due today) plz hellpp i cant solve it plz dont write anything just for points plzz

Answers

Answer:

After reviewing the question you posted I have deduced that the correct answers are:

11) Max has $10.00. He earns $25.75 per lawn that he mows.

12) No. She is wrong. She did not group like terms correctly.

Step-by-step explanation:

11)

For 11) I first identified the independent variable of the equation, being "10".

And then the dependent variable of the equation, being "25.75". (The dependent variable of an equation will always be affected by the x)

I then looked at all the possible answers to see which one shared a independent variable of "10" and a dependent variable of "25.75".

The only possible answer that matches is Max has $10.00. He earns $25.75 per lawn that he mows.

This is because the only two possible answers that have "10" being a variable that does not change (independent variable) are:

--- "Max has $10.00. He earns $25.75 per lawn that he mows.

--- "Jon buys 10 toycars for $25.75 each"

However!

"Jon buys 10 toycars for $25.75 each" is an incorrect answer because it uses "10", although independent, as the x variable that affects the independent variable of "25.75".

12)

To find the correct answer for this question I simplified the equation from:

8t-15+3t   =   11m-15

Into:

8t+3t-15   =   11m-15

Which further simplifies into:

11t-15   =   11m-15

Which then you can notice that the two equations are similiar indeed, however they do not share like terms. One equation has "t" as their term, and the other as "m" as their term. Thus they do not share any like terms and are not equivalent.

100 POINT QUESTION!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Solve 2x2 – 6x + 10 = 0 by completing the square.
Question 10 options:

A)

x = 3∕2 + 1∕2 i, x = 3∕2 – 1∕2i

B)

x = 3 + i, x = 3 – i

C)

x = 3∕2 + i , x = 3∕2 – i

D)

x = 3 + i, x = 3 – i

Answers

Answer:

Ok I don't know waht you mean but the answer is

Step-by-step explanation:

Answer:

x=3/2±(√11)2

x=1.5+1.65831i

x=1.5−1.65831i

Find the Solution for

2x^22−6x+10=0

using the Quadratic Formula where

a = 2, b = -6, and c = 10

x=(−b±√(b^2−4ac))/2a

x=(−(−6)±√((−6)2−4(2)(10)))2(2)

x=(6±√(36−80))/4

x=(6±√−44)/4

The discriminant b^2−4ac<0

so, there are two complex roots.

Simplify the Radical:

x=(6±2√11 i)/4

x=6/4±(2√11 i)4

Simplify fractions and/or signs:

x=3/2±(√11)2

which becomes

x=1.5+1.65831i

x=1.5−1.65831i

in
given points.
1. (10,4), (4, 15)
Find the slope of the line.

Answers

Answer:

[tex]m = -\frac{11}{6}[/tex]

Step-by-step explanation:

Slope is rise over run.

[tex]\frac{15-4}{4- 10}=\frac{11}{-6} = \boxed{-\frac{11}{6}}[/tex]

Hope this helps.

CALCULATE THE AVERAGE RATE OF CHANGE OF THIS POLYNOMIAL ON THE
INTERVAL (-1.1)

Answers

Answer:

  -1

Step-by-step explanation:

The average rate of change of function f(x) on the interval [a, b] is ...

  m = (f(b) -f(a))/(b -a)

We have ...

  f(-1) = (-1)^5 -2(-1) +3 = -1 +2 +3 = 4

  f(1) = (1)^5 -2(1) +3 = 1 -2 +3 = 2

Then the average rate of change is ...

  m = (2 -4)/(1 -(-1)) = -2/2 = -1

The average rate of change on the given interval is -1.

A parking area that is to be resurfaced is shaped like a trapezoid. The bases are 90 feet and 100
feet, and the height is 30 feet. What is the cost if the price of the resurfacing is $1.10 per square
foot? Answer in a whole dollar amount, without the dollar sign.

Answers

Based on the dimensions of the parking area, we know that the cost of resurfacing will be $3,135.

First find the area of the parking area:

Area of trapezoid = (Base ₁ + Base₂) / 2 x Height

= (90 + 100) / 2 x 30

= 2,850 feet²

The cost of resurfacing is:

= Area x cost per square foot

= 2,850 x 1.10

= $3,135

It will cost $3,135 to resurface the place.

Find out more at https://brainly.com/question/12451654.

b ÷ 0.52 for b = 6.344

Answers

Answer:

the answer is 12.2

[tex] \frac{b}{0.52} \\ we \: know \: b = 6.344 \\ then \\ \frac{6.344}{0.52} \\ = 12.2[/tex]

At a local print shop, 14 copies can be made for $4. At this rate, how how many copies could be made for $8?

Full explanation (No links)

Answers

Answer:

28

Step-by-step explanation:

the ratio is written as copies/dollars.

14/4=x/8

since we can multiply 4 by 2 to get 8, multiply 14 by 2 as well.

14/4=28/8

Ok so the answer is 28 copies for $8



The reason that’s correct is because $8 is 2 times more than $4. So we would do 14 (which is the amount of copies that are made for $4) x 2 = 28 copies

Help me with question 9

Answers

Answer:

a) 5.25m^2

b) 1 can

Step-by-step explanation:

a)

area of a triangle = bh/2

=(4.2 x 4.5)/2

=18.9/2

=9.45m^2

area of a rectangle = 2(l+w)

=2 x (0.6 + 1.5)

=4.2m^2

9.45-4.2 = 5.25m^2

b) 1 can, you can't have a partial can of paint

The graph of linear function fpasses through the point (1, -8) and has a slope of 2.
What is the zero of f?
-5
2
5
-2

Answers

Answer:

5

Step-by-step explanation:

set up point slope form

y + 8 = 2(x-1)

set y to zero

0+8=2(x-1)

8=2x-2

10= 2x

x = 5

Plz help guys!!!!!!!!

Answers

Answer:

3

2

Step-by-step explanation:

What does y= when x = -1?

Answers

I think Y would equal 0

if AB=12 cm and BC =13 cm then AC = 25 cm

Answers

Answer:

AB=12

Hope this helps!

a population of deer is increasing at a rate of 12% per year, if this rate of growth remains the same, and the population starts out with 250 deer approximately how many deer will there be in 5 years?

Answers

Answer:

first calculate the number of deer's represented by the 12% that is (12*250)/100

Second mutipy the results that is the number of deer's in one year by 5 years that is (40*5)

Third and last add the second results to the approximated original number of deers to find the total popullation in the five years that is (200+250=450)

Step-by-step explanation:

Solve using elimination.

–4x + 9y = –18
–x − y = –11

Answers

To do elimination, you need to get same coefficient before the variable
Multiply (-x-y = -11) by 4
-4x + 9y = -18
-4x - 4y = -44
Now subtract
13y = 26, y = 2
Plug in y = 2 for any of the two equation
-x - 2 = -11
-x = -9, x = 9

Solution: x = 9, y = 2

Explain how you can write 4.1 as a/b

Answers

Answer:

ax + by

Step-by-step explanation:

i hope its correct

if its wrong then im sorry :)

juanita has saved 20% of the money that she needs to buy a new bicycle. if she has saved $48, how much does the bicycle cost?

Answers

Answer:

240$

Step-by-step explanation:

juanita has saved 20% of the money that she needs to buy a new bicycle. if she has saved $48, how much does the bicycle cost?

48 : 20 * 100 = 240

what is equation of the line shown in this graph

Answers

Since this is a horizontal line, the equation for this is simply

[tex]y = -3[/tex]

Evaluate.



(1/5) −1 ⋅ 4^0



0


1


5


20

Answers

Answer:

-1519 4/5

-1519.8

-7599/5

Step-by-step explanation:

(1/5) - 1 • 4^0
(1/5) - 1 • 1
(1/5) -1
(1/5) -1/1
(1/5) - (5/5)
(1-5/5)
-4/5

find measurement 1 and 4

Answers

Answer:

the info they gave us is to suppose that angle 6 is = 126°

step 1:

We know that angle 8 = angle 6 = 126°

Why? — when a circle (360°) is split by 2 lines that intersect, there will be 2 equal pairs of angles formed

step 2:

angle 2 = angle 8 = 126°

Why? — they’re alternate angles

step 3:

angle 4 = angle 2

Why? — when a circle (360°) is split by 2 lines that intersect, there will be 2 equal pairs of angles formed

step 4:

angle 1 = 180-126 (angle 4) = 54°

Why? — total angles in a straight line = 180°

Key Term:

Alternate angles:

Alternate angles are angles that occur on opposite sides of the transversal line and have the same size. Alternate angles are equal: We can often spot interior alternate angles by drawing a Z shape: There are two different types of alternate angles, alternate interior angles and alternate exterior angles.

The pair of points (-4, y) and (5, 7) lie on a line with slope 1/3. What is the value of y? You must show all of your work to receive credit

Answers

Answer:

4

Step-by-step explanation:

[tex]slope = \frac{y - 7}{ - 4 - 5} = \frac{1}{3} [/tex]

y-7=-3, then y=4

When you have > or <, the solutions are only in the shaded area.
True
or
False

Answers

Answer: True

Step-by-step explanation: Because the solutions can not land on the dotted lines.

the answer would be true

Help help please last question please correct I’ll give points

Answers

Answer:

First is translation then dialation darlin

Step-by-step explanation:

i say this because of the size of grid

Solve the triangles for X: include the steps if you can

Answers

Answer:

10) x=9

11) x=25

Step-by-step explanation:

a triangle is 180º total

10)   2x+8x+90=180

10x=90

x=9

11) 3x+1+2x+2+2x+2=180

7x+5=180

7x=175

x=25

I need help with this problem! please hurry have 3 more after so let me know if you want to do them to and ill give 200 points.

Answers

15 is the answer to the question

HELPPP PLS

A store sells a 1 1/4
pound package of turkey for9$ .

​What is the unit price of the turkey in the package?
A
$11.25\$ 11.25$11.25 per pound
B
$10.25\$ 10.25$10.25 per pound
C
$7.75\$ 7.75$7.75 per pound
D
$7.20\$ 7.20$7.20 per pound

Answers

Answer:

D. $7.20

Step-by-step explanation:

9/1.25 = $7.20

Solve the following system of equations graphically and check

3x - y = 3
Y=2x-7

Answers

Answer:

x = -4 and y = -15

Hope This Helps!!!

Jorge bikes to school each day. If he can travel 33 miles in 11 hours, how fast does he travel in one
hour?
Write a symbolic expression using division that represents this problem.
Calculated Answer:
miles per hour

Answers

33 miles divided by 11 hours will give you the mile per hour traveled.

Answer: 3 miles per hr

Original price of shorts $53.95 Discount 30% Tax 4.5? Please help what’s the correct answer ???



PLEASE HELPPPP MEEEEE

Answers

Answer:

With discount : $37.76

With tax : $56.38

With both : $40.19

Step-by-step explanation:

Hope this helps

The letter w represents a whole number such that 2021 + w is a multiple of 7. What is the smallest possible value of w?

Answers

Answer:

2

Step-by-step explanation:

2021/7 leaves a remainder of 5 so add 2 and that's the answer

12/23+(9 6/8−3 1/4) sorry for asking the same question but I NEED HELP

Answers

Answer:

[tex]\frac{12}{23} + (9 \frac{6}{8} - 3 \frac{1}{4})[/tex]

Exact Form:

[tex]\frac{323}{46}[/tex]

Decimal Form:

7.02173913  

Mixed Number Form:

7 [tex]\frac{1}{46}[/tex]

Step-by-step explanation:

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