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

Write the equation of the line in Point-Slope Form given the information below.

Slope=7

Point=(1,4)

Answers

Answer:

Step-by-step explanation:

y - 4 = 7(x - 1)

y - 4 = 7x - 7

y = 7x - 3

the sum of the first n terms of an arithmetic sequence is 242. If the first term is 12 and the last term is 42, find the value of n

badly need this rn ​

Answers

Answer:

Step-by-step explanation:

Sum of first n terms = 243

[tex]a_{1} = 12 \\\\l = 42\\\\S_{n} = \dfrac{n}{2}(a_{1}+l)\\\\\dfrac{n}{2}(12+42) = 243\\\\\\\dfrac{n}{2}*54=243\\\\\\n*27=243\\\\n=\dfrac{243}{27}\\\\n=9[/tex]

How do you figure out a missing number in an input and output table?

Answers

Answer:

- we can find the slope of the equation for the table and then plug in values into y = mx+b to find the full equation

Step-by-step explanation:

population growth problem: the deer population in georgia was 450,000 in 2010, and the population doubles every 5 years. in what year will the deer population in georgia reach 1 million

Answers

We know that in 2020 the population of deer will be 900,000 based on the given numbers. In another 5 years the population will be over 1 million (1,350,000) in order to calculate when it will reach 1 million we need to see how much growth is gained per year. I believe to obtain that information we will need to divide 450,000 by 5 that equals 90,000 a year. So if I’m 2020 the population of deer will be 900,000 than add 90,000 until you reach your 1 million marker. In this case 2021 would be 990,000 thousand so 2022 would be 1,080,000. So your answer should be year 2022. Hope that helps.

PLZZZZ HELP BRAINLYEST AND 100 POINTS
Identify the number of real and imaginary solutions for: f(x)=x4+3x3+2x−6
(Write answer as a number, not a word)
Imaginary=
real=

Answers

Answer:

2 imaginary; 2 real

You can factor it as ...

 f(x) = (x^2 -16)(x^2 +1) . . . . . . . . . x^2-16 is the difference of squares

 = (x -4)(x +4)(x^2 +1)

The two linear factors have real zeros; the quadratic factor has two imaginary zeros. There are 2 imaginary and 2 real zeros.

Step-by-step explanation:

Hope this helps:)

How do you apply the distrubtive property to simplify the expression. -3(6+2

Answers

Answer:

-24

Step-by-step explanation:

multiply the 6 by the -3 and the 2 by -3

you get -18+-6

if you add them together u get -24

Hey there!

-3(6 + 2)

= -3(8)

= -24

Therefore, your answer is: -24

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

It is predicted that the value of a home will decrease by a rate of 4.6% annually due to a recent recession. Today, the value of the home is $185,000. What is the predicted value of the home in 6 years?

Answers

Answer:

$139 463.95

Step-by-step explanation:

100% - 4.6% = 95.4%

95.4% ÷ 100 = 0.954

0.954 --> decimal multiplier

$185 000 × 0.954^6 = $139 463.95

Hope this helps! <3

Function or not functional? Pls help tyyy

Answers

Answer:

not functional, 0 over laps with T and X. so that should make it not functional (I think )

Please help & solve for x thank you!

Answers

9514 1404 393

Answer:

  x = 23.1

Step-by-step explanation:

The parallel lines make the left segments proportional to the right segments. This lets us write the equation ...

  x/14 = 33/20

Multiplying by 14, we get ...

  x = 14(33/20) = 7(33/10) = 23.1

Pls,
Find the area of the
parallelogram below.
8 cm
12 cm

Answers

Answer: Area = 96 cm squared

Explanation;

base x height = area

Base = 12

Height = 8

12 x 8 = 96

Each square below represents one whole ……. What percent is represents by the shade area ?

Answers

If 13/25 boxes are filled in, 0.52 is the decimal . You then multiply by 100 to get the percent: 52%.

If cos θ = sin 2 θ, then the value of θ is = ___?​

Answers

Given that:

Cos θ = Sin 2θ

⇛ Cos θ = 2 Sin θ Cos θ

⇛ Cos θ / Cos θ = 2 Sin θ

⇛ 1 = 2 Sin θ

⇛ 1/2 = Sin θ

⇛ Sin θ = 1/2

⇛ Sin θ = Sin 30°

⇛ θ = 30°

Therefore, θ = 30°

Answer :-The value of θ for the given problem is 30°

Check:-

LHS = Cos θ

⇛ Cos 30°

⇛ √3/2

RHS = Sin 2θ

⇛ Sin (2×30°)

⇛ Sin 60°

⇛ √3/2

LHS = RHS is true for θ = 30°

»If you have any doubt, then you can ask me in the comments.

What is the slope of the line on the graph?

Answers

Answer:

slope: 4/12

Simplified to: 1/3

Negative slope so: -1/3

Y intercept:4

Form: Y=mx+b

Y=-1/3x+4

HELP ME OUT PLEASE

Use the data to create a scatter plot. ​

Answers

Answer: i dont know if this will be correct but, the 2 goes on the bottom count 5 up so you will get the first one done, bottom 3 and count up 8, bottom 4 and count up to 13, its the same for all of them.

Step-by-step explanation:

For each of the following equations, show that the given value of x is a solution of the equation by direct substitution.

a) x = 4/3, Equation: 3x^2 + 5x - 12=0

b) x=1 + square root 6 , Equation: x^2 - 2x-5=0

c) x= 1 + 2i, Equation: x^2 - 2x+5=0

Answers

a.

The value x = 4/3 is a solution of the equation 3x² + 5x - 12 = 0

Since the equation is 3x² + 5x - 12 = 0, if x = 4/3, is a solution, substituting x = 4/3 into the equation will make the equation will make the left hand side equal zero.

So, 3x² + 5x - 12 = 0

Substituting x = 4/3, we have

3(4/3)² + 5(4/3) - 12

= 3(16/9) + 20/3 - 12

= 16/3 + (20 - 12 × 3)/3

= 16/3 + (20 - 36)/3

= 16/3 - 16/3

= 0

So, x = 4/3 is a solution of the equation 3x² + 5x - 12 = 0

b.

The value x = 1 + √6 is a solution of the equation x² - 2x - 5 = 0

Since the equation is x² - 2x - 5 = 0, if x = 1 + √6, is a solution, substituting x = 1 + √6 into the equation will make the equation will make the left hand side equal zero.

So, x² - 2x - 5 = 0

Substituting x = 4/3, we have

x² - 2x - 5 = (1 + √6)² - 2(1 + √6) - 5

= (1² + 2√6 + (√6)²) - 2 - 2√6) - 5

= 1 + 2√6 + 6 - 2 - 2√6) - 5

= 2√6 + 6 + 1 - 2√6) - 5 - 5

= 2√6 + 7 - 2√6) - 7

=  2√6 - 2√6 + 7 - 7

= 0 + 0

= 0

So, x = 1 + √6 is a solution of the equation x² - 2x - 5 = 0

c.

The value x = 1 + 2i is a solution of the equation x² - 2x + 5 = 0

Since the equation is x² - 2x + 5 = 0, if x = 1 + 2i, is a solution, substituting x = 1 + 2i into the equation will make the equation will make the left hand side equal zero.

So, x² - 2x + 5 = 0

Substituting x = 1 + 2i, we have

x² - 2x + 5 = (1 + 2i)² - 2(1 + 2i) + 5

= (1² + 2(2i) + (2i)²) - 2 - 4i + 5

= 1 + 4i - 4 - 2 - 4i + 5

=  4i + 1 - 4 - 2 - 4i + 5  

= 4i - 5 - 4i + 5  

= 4i - 4i + 5 - 5

= 0 + 0

= 0

So, x = 1 + 2i is a solution of the equation x² - 2x + 5 = 0

Learn more about quadratic equations here:

https://brainly.com/question/11982012

guys help
Evaluate the numerical expression.

(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] =

Answers

Step-by-step explanation:

(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)]

= (25)2 × 100 ÷ 23 + [24 ÷ 8]

= 25 × 2 × 100/23 + 3

= 5000/23 + 3

= 5000+69/23

= 5069/23

= 220 9/23

Need help with thissss!!

Answers

Answer:

f(5) = 38

Step-by-step explanation:

f(a) = 7(a + 1) - 4

f(5) = 7(5 + 1) - 4

f(5) = 7(6) - 4

f(5) = 42 - 4

f(5) = 38


Find (- 18) + (-25) + 13.
-56
20
-30
-6

Answers

Answer: -30

Step-by-step explanation:

Solve this system using the substitution method: 9x – 2y = 4; 3x – 5 = y

Answers

Pick one of the equation and solve for one of the variable. I choose the first equation and solved for y. Just like the name suggest, substitute in the variable you just solved for into the second equation. For me, I substitute y into the second equation. Then, just solve it like a regular algebra equation. Once you get the answer for one of the variable, take that variable and substitute it back into one of the equation and solve for the other variable. Please mark me as the brainlest answer :)

A satellite orbits the Earth with an elliptical orbit modeled by x squared over 47 million three hundred thirty four thousand four hundred plus y squared over forty three million nine hundred fifty six thousand nine hundred equals 1 comma where the distances are measured in km. The Earth shares the same center as the orbit. If the radius of the Earth is 6,370 km, what is the maximum distance between the satellite and the Earth?

6,880 km
6,630 km
510 km
260 km

Answers

An elliptical of the satellite in the field of astrodynamics is known as a

Kepler orbit.

The distance between the satellite and the Earth is; 510 km.

Reasons:

The function that represents the elliptical orbit of the satellite is presented

as follows;

[tex]\dfrac{x^2}{47,334,400} + \dfrac{y^2}{43,956,900} = 1[/tex]

The radius of the Earth, R = 6,370 km.

The equation of an ellipse is presented as follows;

[tex]\mathbf{\dfrac{(x - h)^2}{a^2} + \dfrac{(y - k)^2}{b^2}} = 1[/tex]

Where, in a horizontal ellipse;

a = The major axis (the longer axis), which gives the maximum distance

between the satellite and Earth.

b = The minor axis (the shorter axis)

By comparison, we get;

a² = 47,334,400 km²

Therefore;

a = √(47,334,400 km²) = 6,880 km.

The distance between the satellite and the surface of the Earth, d, is given

as follows;

d = a - R

Which gives;

d = 6,880 km - 6,370 km = 510 km

Distance between the satellite and the surface of the Earth, d = 510 km.

Learn more here:

https://brainly.com/question/13999216

Answer:510 KM

Step-by-step explanation:

hey yall it's holiday season and I want to wish you all a good Christmas and Thanksgiving anyways what is your favorite nintendo game?​

Answers

Answer:

Merry xmas bro

Step-by-step explanation:

fav nintendo game is the first mario

Consider the following equation.

x+4y=14
Determine the missing coordinate in the ordered pair (−2,?) so that it will satisfy the given equation.

Answers

Answer:  4

Explanation:

We plug in x = -2 and solve for y

x+4y = 14

-2+4y = 14

4y = 14+2

4y = 16

y = 16/4

y = 4

Therefore, the point (-2, 4) is on the line x+4y = 14.

I need help please I don't not understand this is getting on my nerves.
​I will give you all my point

Answers

Answer:

24,748

Step-by-step explanation:

538

x 46

3228

21520

24748

A normal distribution of scores has a standard deviation of 10and a samplemean of 50. Find the probability corresponding to each of the following values:
a. a score of 67
b. a score that is below 36
c. a score that is greater than 78
d. a score between 52 and 67

Answers

Answer:

Step-by-step explanation:

o What proportion of normal distribution corresponds to z-scores < z = 1.00? o What is the probability of selecting a z-score less than z = 1.00? (A). (B). (C).

PLEASE HELP WITH THIS ONE QUESTION

Answers

Answer:

Third one down

Step-by-step explanation:

method
Solve the problem.
22) Find the area of the skating rink. Round to the nearest tenth.
36 ft
The rectangle
9 ft
36 X 9

6)9:36
19.36 -762

Answers

Step-by-step explanation:

the rink is a combination of a rectangle and 2 half-circles.

so, we need the areas of the rectangle and a full circle and add these 2 values.

the survivability is a little bit unclear. are the 9 ft the length of the arrow, or the whole width of the area ?

let's assume it is the first.

then the 9ft are the radius of the half-circles, and the width of the ice area is then the diameter of the circles and therefore twice the radius. 2×9 = 18ft.

the rectangle is simple :

Ar = 36×18 = 648 ft²

the formula for the area of a circle is

Ac = pi×r² = pi×9² = pi×81 = 254.4690049...ft²

this is rounded 254.5 ft²

as total area we have

648 + 254.5 = 902.5 ft²


Solve for x and y !!!!!!!!!!!

Answers

Answer:

x=12; y=138.

Step-by-step explanation:

1. 4x+(3x+6)=90 - to calculate 'x';

3x+6+y=180 - then to calculate 'y';

2. 7x+6=90; ⇒ x=12;

3. 3*12+6+y=180; ⇒ y=138°.

8.2 is 2% of what number ​

Answers

Answer:

Step-by-step explanation:

If 2% × 410 = 8.2 => Divide 8.2 by 410And see if we get as a result: 2% Note: Multiply a number by the fraction 100/100, and its value doesn't change.

Answer:

m = 410

Step-by-step explanation:

Let the number be n.  Then:

 8.2

--------- = 0.02

    n

Cross-multiplying yields 0.02n = 8.2, from which we find n = 410

Recall that a percentage, such as 2%, is equivalent to a decimal fraction, such as

2%

-------- = 0.02

100%

Analyze the solution set of the following system by following the given steps. 2x + y = 5 3y = 9 − 6x Write each equation in slope-intercept form. y = -2 x + 5 y = -2 x + 3 What do the equations have in common? How are they different?

Answers

Step-by-step explanation:

Given the following systems of linear equations, 2x + y = 5, and 3y = 9 − 6x

Write each equation in slope-intercept form.

The slope-intercept form is: y = mx + b, where m = slope, and b = y-intercept.

2x + y = 5

Subtract 2x from both sides:

2x - 2x + y = - 2x + 5

y = -2x + 5 ⇒ This is the slope-intercept form, where the slope, m = -2, and the y-intercept, b = 5.

3y = 9 − 6x

Divide both sides by 3 to isolate y:

3y = − 6x + 3

[tex]\frac{3y}{3} = \frac{-6x + 9}{3}[/tex]

y = -2x + 3 ⇒ This is the slope-intercept form, where the slope, m = -2, and the y-intercept, b = 3.

What do the equations have in common?

y = -2x + 5

y = -2x + 3

These equations have the same slope, m = -2.

How are they different?

They have different y-intercepts.

y = -2x + 5  ⇒ The y-intercept is (0, 5), where b = 5.

y = -2x + 3  ⇒ The y-intercept is (0, 3), where b = 3.

The equations have the same slope but different y-intercepts, meaning they are parallel lines that run parallel to each other and are spaced vertically apart by a difference of 2 units.

Step 1: Write each equation in slope-intercept form.

Given system of equations:

1. 2x + y = 5

2. 3y = 9 - 6x

Slope-intercept form of an equation is y = mx + b, where m is the slope and b is the y-intercept.

Let's rewrite the equations in slope-intercept form:

1. 2x + y = 5

  Subtract 2x from both sides: y = -2x + 5

2. 3y = 9 - 6x

  Divide both sides by 3: y = -2x + 3

Step 2: The equations have the same slope (-2) but different y-intercepts 5 and 3.

The common slope (-2) indicates that the lines represented by these equations have the same steepness or inclination.

The difference in y-intercepts means that the lines are parallel and run parallel to each other.

Learn more about Slope here:

https://brainly.com/question/3605446

#SPJ3

167.67 divided by 8.1

Answers

Answer:

167.67 divided by 8.1 = 20.7

use a calculator its easy
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