Solve for “x.”
9x = 912.6

Answer:

3.

2x^3+10x^2+14x+6

Step-by-step explanation:

according to figure,

v=w•l•h

(2x+2)(x+1)(x+3)

=(2x+2)x(x+1)+3(X+1)

=(2x+2)(x^2+4x+3)

=2x(x^2+4x+3)+2(x^2+4x+3)

=2x^3+10x^2+14x+6

The volume of the figure as a polynomial in standard form is

V = 2x³ + 10x² + 14x + 6.

A closed three-dimensional geometric shape called a cuboid is surrounded by six rectangular plane sections.

The given figure is a cuboid with dimensions (2x + 2), (x + 1), and (x + 3).

The volume of the cuboid is the multiplication of its dimension, therefore, the volume of the cuboid is:

V = (2x +2)(x + 1)(x + 3)

V = (2x² + 2x +2x + 2)(x + 3)

V = (2x² + 4x + 2)(x + 3)

V = 2x³ + 6x² + 4x² + 12x + 2x + 6

V = 2x³ + 10x² + 14x + 6

Hence, the volume of the figure as a polynomial in standard form is

V = 2x³ + 10x² + 14x + 6.

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Answer:

It's B

And Prime Factorization is when 2 numbers have the same answer.

Example: 3x8=24 and 4x6=24

Step-by-step explanation:

The value of [tex]n[/tex] such that [tex]\sqrt[3]{n+\sqrt{n^{2}+8}}+ \sqrt[3]{n-\sqrt{n^{2}+8}} = 8 [/tex] is [tex]280[/tex].

In this question we need to find the root of the radical function [tex]\sqrt[3]{n+\sqrt{n^{2}+8}}+ \sqrt[3]{n-\sqrt{n^{2}+8}} = 8 [/tex], which must be simplified by algebraic means.

First, we need to elevate each side of the expression by third power:

[tex]\left(\sqrt[3]{n+\sqrt{n^{2}+8}} + \sqrt[3]{n+\sqrt{n^{2}+8}} \right)^{3} = 512[/tex]

[tex]2\cdot n + 3\cdot \sqrt[3]{(n+\sqrt{n^{2}+8})^{2}\cdot (n-\sqrt{n^{2}+8})} + 3\cdot \sqrt[3]{(n-\sqrt{n^{2}+8})^{2}\cdot (n+\sqrt{n^{2}+8})} = 512[/tex]

[tex]2\cdot n -6\cdot (\sqrt[3]{n+\sqrt{n^{2}+8}} + \sqrt[3]{n-\sqrt{n^{2}+8}}) = 512[/tex]

[tex]2\cdot n - 6\cdot (8) = 512[/tex]

[tex]n = 280[/tex]

The value of [tex]n[/tex] such that [tex]\sqrt[3]{n+\sqrt{n^{2}+8}}+ \sqrt[3]{n-\sqrt{n^{2}+8}} = 8 [/tex] is [tex]280[/tex]. [tex]\blacksquare[/tex]

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Answer:

[tex]3x^3 - 5x + 1 - \frac{10}{x + 3}[/tex]

or

3x^3 - 5x + 1

Remainder: -10

Step-by-step explanation:

Please see attached image for full explanation!

1.) Write the coefficient of each term.

2.) Beginning with 3, multiply by -3, or x + 3 = 0 (the divisor.)

3.) Add the product to the next coefficient and repeat until you get to the last number, -7.

4.) You should have the numbers 3, 0, -5, 1, and -10.

5.) Rewrite this quotient as an equation:

3x^3 - 5x + 1

Note that the highest power is 3, one less than that of the highest power in the original equation.

6.) Don't forget the remainder!

You can include this in the equation or not, depending on the instructions.

Therefore, the final answer is 3x^3 - 5x + 1 - 10/x+3 or 3x^3 - 5x + 1 R: -10.

Answer:

K so we want to find angle EFC

Its a much longer process

AC is a line, so its 180 degrees

ED is 32 (This also makes AB 32 degrees)

Now we need DC

Find the other side angle length

180 - 32 - 87 = 61

theta is 61+32

The another number is divider to pi 22/7

The another number is divider to pi 22/7

Answer:

20 of them are managers

Step-by-step explanation:

Basically All you gotta do is convert that 5 percent to a decimal, so 5% = 0.05

400 x 0.05 (multiplying it will just increase your answer) and you will get 20

To check it

20/5% or 0.05 = 400

Answer:

static electricty

Step-by-step explanation:

it is preserved charge

Answer:

its electroboom not boy

Step-by-step explanation:

lol its static

The number of quarts of shampoo does Elena need to order, When she wants to order for the year, is 64.8.

Unknown variables are used to find the unknown values of the problem using the algebraic expressions.

To find the values of unknown quantity, the statements of a problem is converted in the algebraic equation form using the variable in place of unknown numbers.

Elena’s Hair Salon uses an average of 5.4 quarts of shampoo per month. Let suppose that she needs to order n quarts of shampoo in a year.

As it is known that there are total 12 months in a year and Elena’s Hair Salon uses an average of 5.4 quarts of shampoo per month. Thus, the number of quarts of shampoo does she need to order is,

[tex]n=5.4\times12\\n=64.8\\[/tex]

Thus, the number of quarts of shampoo does Elena need to order, When she wants to order for the year, is 64.8.

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Using the binomial distribution, it is found that there is a 0.027 = 2.7% probability that he makes exactly 1 of the 3 free throws.

For each free throw, there are only two possible outcomes, either he makes it, or he misses it. The results of free throws are independent from each other, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The probability that he makes exactly 1 is P(X = 1), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 1) = C_{3,1}.(0.9)^{1}.(0.1)^{2} = 0.027[/tex]

0.027 = 2.7% probability that he makes exactly 1 of the 3 free throws.

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Answer:

0.03

Step-by-step explanation:

I just did it on Khan

Answer:

[tex]{ \rm{x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} }} \\ [/tex]

Answer:

$750

Step-by-step explanation:

did the problem

Answer:

Step-by-step explanation:

11

Answer:

i think n = 4

Step-by-step explanation:

3(n+7) = 33

3n+21 = 33

3n = 12

n = 4

Answer:

n=4

Step-by-step explanation:

3(n+7)=33

3n + 21=33

3n=33-21

3n=12

n=12÷3

n=4

[tex]f(x) =-3\\\\\implies 3x^3= -3\\\\\implies x^3 = -1\\\\\implies x = \sqrt[3]{-1} ~~\text{or}~~ x= \sqrt[3]{-1} \left(\dfrac{-1 \pm i\sqrt 3}2\right)\\[/tex]

[tex]\text{For x} \in \mathbb{R}, ~\text{the answer is x} = \sqrt[3]{-1} = -1[/tex]

Answer:

Which graph?

Step-by-step explanation:

Answer:

where is the graph

Step-by-step explanation:

umm i dont know how to answer

Answer:

m∡B = 120°

Step-by-step explanation:

base angles are equal

adjacent angles are supplementary so:

4x+20 + 3x-15 = 180

7x + 5 = 180

7x = 175

x = 25

∡B = 4(25) + 20

∡B = 120°

Answer:

39.6

Step-by-step explanation:

(3x-15)+(4x+20)+2x=360

9x+5=360

9x=355

*Divide each side by 9*

X=39.4

*SUBSTITUTE X*

3(39.4)-15=103.2

4(39.4)+20=177.6

*ADD THE TOTALS FROM ABOVE*

103.2+177.6= 280.8

360-280.8=79.2

*DIVIDE THE TOTAL BY 2*

79.2/2=39.6

*CHECK*

3(39.4)-15=103.2

4(39.4)+20=177.6

103.2+177.6+39.6+39.6=360 IS CORRECT.

Hope this helps! :)

Answer:

A. No, it does not represent a proportional relationship.

B. Yes, it represents a proportional relationship.

C. No, it does not represent a proportional relationship.

Step-by-step explanation:

think of the increase for X and Y, if they increase at the same rate for both and and for X to Y, they have a proportional relationship.

Answer:

the nominator could be any number here

Step-by-step explanation:

what do you need ? the equation itself is true, if you put the same number in both places above 21.

any number is possible there, it will not change the equation.

so, again, I am not sure, what you need here.

let's write it with a variable to make my statements clearer :

9 + 1 x/21 = 10 x/21

that is true, because we can combine the whole numbers first giving us 9 + 1 = 10.

and then we add the fraction again (x/21).

again, you can put any number instead of x, and it will always be true.

example

9 + 1 4/21 = 10 4/21

Step-by-step explanation:

As it's a product, just multiply each number! We notice there are 2 identical square roots multiplied, and we know that: [tex]\sqrt{x} * \sqrt{x} = x\\[/tex].

So we'll remain with: 5 * 2 * 3 = 30.

:)

Answer:

30

Step-by-step explanation:

First multiply 2 square root with 2 square root and since they are identical the answer will be 2.

Now multiply 3 and 5:

3×5= 15

Now we have two numbers 15 and 2, we will multiply 15 with 2 and we get 30

I couldn't explain well but I hope you understand

Answer:

155

Step-by-step explanation:

Answer:

what's the question that you need answered?

Step-by-step explanation:

?

the 1st and 2nd ones r correct

Step-by-step explanation:

hope this helps

Answer:

.8x dollars

Step-by-step explanation:

Twenty percent off means you are paying 80 percent of every dollar, and 80 percent translates to .8 to 1 as a proportion.

Answer:

$.80x

Step-by-step explanation:

0.80x

Based on the number of families that left and the number in total on that block, the expected number of families gone on the other block is 25 families.

On the first block, the proportion of families that is gone is:

= Number of families gone / Total number of families on block

= 5 / 12

If there are 60 families on a block, the number gone would be:

= Proportion of families gone x Total number of families

= 5/12 x 60

= 25 families

In conclusion, 25 families would be gone

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Answer:

1:Cubic

2:5a and the value in the 2a is a exp.

3:Quintic

Step-by-step explanation:

Im sure this answer is correct

An expressions equated to another expression is called an equation

An equation is an expression that is used to show the relationship between two or more variables and numbers.

Given that a = 5, hence:

2a + 5

substituting values:

2(5) + 5 = 10 + 5 = 15

2a + 5 = 15

The sum of twice and four times of the variable x is 2x + 4x = 6x

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Answer:

Abby will earn $510 if she works 60 hours.

Step-by-step explanation:

8 hrs --> $68

1 hr --> 68 × 1/8 = $8.5

So, 60 hrs

= 8.5 × 60

= $510