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3 years ago

13

20 Points please help!! Solve each equation below, show your work! x^3 = -125

2 answers:

Greeley [361]3 years ago

5 0

X^3 = (-5)^3
the answer is x=5

sergiy2304 [10]3 years ago

4 0

Answer:

- 5

Step-by-step explanation:

1- -125= x^3.

2- -5^3= -125 I found this out just by just estimating and filling in numbers for on my calculator.

You might be interested in

What is the value of the numerical expression 5/8-5/12(3-1/4)+2/3

vlabodo [156]

Make bottom numbers same
find least common multipules of 8,12,4 and 3
8=2 times 2 times 2
12=2 times 2 times 3
4=2 times 2
3=3
lcm=2 times 2 times 2 times 3=24

5/8 times 3/3=15/24
5/12 times 2/2=10/24
3/1 times 24/24=72/24
1/4 times 6/6=6/24
2/3 times 8/8=16/24
we now have
15/24-10/24(72/24-6/24)+16/24
pemdas
simplify parenthasees first
72/24-6/24=66/24

now we have
15/24-10/24(66/24)+16/24
multiply
15/24-660/576+16/24
make same bottom number
15/24 times 24/24=360/576
16/24 times 24/24=384/576
360/576-660/576+384/576
84/576
7/48

answer is 7/48

3 0

3 years ago

Please help me ............

Marysya12 [62]

Answer:

x+30=90

OR

180-120=x

The measure of the angle is 60 degrees.

Step-by-step explanation:

Plug in 60 as x and it will fit each equation.

6 0

3 years ago

Differentiate the following functions (x^3+1)(x-2)÷x^2

Masja [62]

Given:

The given function is:

$\dfrac{(x^3+1)(x-2)}{x^2}$

To find:

The differentiation of the given function.

Solution:

Consider the given function,

$y=\dfrac{(x^3+1)(x-2)}{x^2}$

It can be written as:

$y=\dfrac{(x^3)(x)+(x^3)(-2)+(1)(x)+(1)(-2)}{x^2}$

$y=\dfrac{x^4-2x^3+x-2}{x^2}$

$y=\dfrac{x^4}{x^2}-\dfrac{2x^3}{x^2}+\dfrac{x}{x^2}-\dfrac{2}{x^2}$

$y=x^2-2x+\dfrac{1}{x}-\dfrac{2}{x^2}$

Differentiate with respect to x.

$y'=\dfrac{d}{dx}(x^2)-\dfrac{d}{dx}(2x)+\dfrac{d}{dx}(x^{-1})-\dfrac{d}{dx}\2(x^{-2})$

$y'=2x-2(1)+(-x^{-2})-2(-2x^{-3})$

$y'=2x-2-\dfrac{1}{x^2}+\dfrac{4}{x^3}$

Therefore, the differentiation of the given function is $2x-2-\dfrac{1}{x^2}+\dfrac{4}{x^3}$ .

8 0

3 years ago

A bank loans a family $90,000 at 4.5% annual interest rate to purchase a house. The family agrees to pay the loan off by making

Naily [24]

Using it's formula, it is found that the monthly payment should be of $688.49 in order to pay off the debt in 15 years.

<h3>What is the monthly payment formula?</h3>

It is given by:

$A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}$

In which:

P is the initial amount.

r is the interest rate.

n is the number of payments.

For this problem, the parameters are given as follows:

A = 90000, r = 0.045, n = 15 x 12 = 180.

Hence:

r/12 = 0.045/12 = 0.00375.

Then we solve for A to find the monthly payment, as follows.

$A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}$

$A = 90000(0.00375)\frac{(1.00375)^{180}}{(1.00375)^{180} - 1}$

A = $688.49

More can be learned about the monthly payment formula at brainly.com/question/22846480

#SPJ1

4 0

2 years ago

The length of a rectangle is 2 times it’s width if the perimeter of the rectangle is 36 inches find it’s length and width

Tamiku [17]

P = Perimeter

L = Length

W = Width

Perimeter of rectangle = L + L + W + W

or P = 2L + 2W

You know:

P = 36 inches

L = 2W [length is(=) 2 times it's width]

W = ?

P = 2L + 2W

Substitute/plug in what you know, plug in 2W for L since L = 2W

36 = 2(2W) + 2W Simplify

36 = 4W + 2W

36 = 6W Divide 6 on both sides

6 = W Now that you know the width, you can find the length:

L = 2W

L = 2(6)

L = 12

L = 12 in

W = 6 in

PROOF

P = 2(12) + 2(6)

P = 24 + 12

P = 36

6 0

3 years ago