Write the digit in the ten thousands place

Question 3(Multiple Choice Worth 2 points)

Lilit [14]

The equivalent expression is seven-fifths squared times one-third cubed. Then the correct option is D.

<h3>What is an equivalent expression?</h3>

The equivalent is the expression that is in different forms but is equal to the same value.

Five-sevenths squared times one-third raised to the power of negative three all raised to the power of negative one.

Convert the sentence into numerical form.

$\rm \rightarrow \left [ \left (\dfrac{5}{7} \right )^2 \times \left ( \dfrac{1}{3}\right )^{-3} \right ] ^{-1}$

Simplify the expression, then we have

$\rm \rightarrow \left [ \left (\dfrac{7}{5} \right )^{2} \times \left ( \dfrac{1}{3}\right )^{3} \right ]$

The equivalent expression is seven-fifths squared times one-third cubed. Then the correct option is D.

More about the equivalent link is given below.

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6 0

1 year ago

If DE= 4x–1, EF= 9, and DF= 9x–22 , find the value of x

dybincka [34]

Answer:

The correct answer is x = 6.

Step-by-step explanation:

To solve this problem, we first must recognize that DE + EF = DF.

From this information, we can set up the following equation when we substitute in the given values:

DE + EF = DF

(4x-1) + 9 = 9x - 22

Our first step is going to be to combine like terms on the left side of the equation. This is modeled below:

4x - 1 + 9 = 9x - 22

4x + 8 = 9x - 22

Then, we should subtract 4x from both sides of the equation.

8 = 5x - 22

Now, we can add 22 to both sides of the equation.

30 = 5x

Finally, we can divide both sides by 5.

x = 6

Therefore, the correct answer is x = 6.

Hope this helps!

6 0

3 years ago

Rob Herndon, an accountant with Southwest Airlines, wants to retire 50% of

valina [46]

To achieve his goal of paying off $430,000 in 10 years, Rob Herndon needs to make $34,186.97 at 5% compounded annually.

<h3>What is a future value?</h3>

A future value refers to a value on a future date based on an assumed growth rate of interest over time.

The future value can be determined using the FV formula or table.

We can also compute the future value using an online finance calculator as follows:

<h3>Data and Calculations:</h3>

N (# of periods) = 10 years

I/Y (Interest per year) = 5%

PV (Present Value) = $0

FV (Future Value) = $430,000

<u>Results:</u>

PMT = $34,186.97

Sum of all periodic payments = $341,869.70

Total Interest= $88,130.30

Thus, for Rob Herndon to achieve his goal of paying off $430,000 in 10 years, he needs to make $34,186.97 at 5% compounded annually.

Learn more about Calculating Future Values at brainly.com/question/24703884

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7 0

2 years ago

What are the x-intercepts of y=2x^2+6x-20?

NISA [10]

Answer:

the x-intercepts are -5 and 2

Step-by-step explanation:

$y=2x^2+6x-20$

x-intercept is when y is set equal to zero

So, y = 0

$0 = 2x^2+6x-20$

$2x^3+6x-20 = 0\\Taking \ 2 \ common\\2(x^2+3x-10) = 0\\Dividing \ both \ sides \ by \ 2\\x^2+3x-10 = 0\\Using \ mid\ term \ break \ formula\\x^2+5x-2x-10 = 0\\x(x+5)-2(x+5)=0\\Taking \ (x+5) \ common\\(x+5)(x-2) = 0$

Either,

x+5 = 0 <u><em> OR </em></u> x-2 = 0

x = -5 <u><em> OR </em></u> x = 2

So, the x-intercepts are -5 and 2

7 0

3 years ago

Read 2 more answers

In ∆ABC, m∠B=α. Find the measure of the angle, in degrees, between the altitudes dropped from the vertices A and C

Sergio [31]

The expression to find the value of the final angle of the triangle will be 180° - 40° - α.

<h3>How to solve the triangle?</h3>

Your information is incomplete as the triangle isn't attached. Therefore, an overview will be given.

Firstly, it's important to know that the total angle in a triangle is 180°. A triangle has three sides. In this case, angle B is given as α.

Let's assume that another angle is given as 40°. Therefore, the expression to find the value of the final angle will be 180° - 40° - α

Learn more about triangles on:

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7 0

2 years ago