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2 years ago

Write 5 times x to the two thirds power in radical form

Mathematics

1 answer:

cestrela7 [59]2 years ago

7 0

9514 1404 393

Answer:

5∛(x²)

Step-by-step explanation:

The denominator of a rational power is the index of the radical when the expression is written in radical form.

$5\times x^{\frac{2}{3}}=\boxed{5\sqrt[3]{x^2}}$

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Plot point C(2,7). If M is the midpoint of CD , what are the coordinates of D?

Y_Kistochka [10]

Answer:

The coordinates of D is (-4,-9)

Step-by-step explanation:

Given

C = (2,7)

M=(-1,-1) ----- Missing part of question

Required

Determine the coordinates of D

Let the coordinates of D be (x₂,y₂)

We'll solve this question using mid point formula;

$M(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Where

$C(x_1,y_1) = (2,7)$ and $M(x,y) = (-1,-1)$

Put these values in the formula

$(-1,-1) = (\frac{2+x_2}{2},\frac{7+y_2}{2})$

By comparison;

$-1 = \frac{2+x_2}{2}$ and $-1 = \frac{7+y_2}{2}$

$-1 = \frac{2+x_2}{2}$

Multiply both sides by 2

$-2 = 2 + x_2$

Subtract 2 from both sides

$-2 -2 = x_2$

$x_2 = -4$

$-1 = \frac{7+y_2}{2}$

Multiply both sides by 2

$-2 = 7 + y_2$

Subtract 7 from both sides

$-2 - 7 = y_2$

$y_2 = -9$

Hence, the coordinates of D is (-4,-9)

4 0

3 years ago

in 2005, the total waste generated in a certain country was 3.474x10^9 pounds. also in 2005, the countrys population was 1.23x10

Serggg [28]

Answer:

2824

Step-by-step explanation:

Take the number of pounds and divide by the number of people:

3.474×10⁹ / 1.23×10⁶

Divide the coefficients and subtract the exponents:

(3.474 / 1.23) × 10⁹⁻⁶

2.824×10³

So the country produced about 2,824 pounds of garbage per person in 2005.

7 0

2 years ago

15 POINTS!!! (16*4^3*8^8)^5 Find the answer and show work how you got it

777dan777 [17]

Answer:

2^170

Step-by-step explanation:

(16 x 4^3 x 8^8)^ 5

- start by converting it all to a common base

(2^4 x 2^3 x 2^24)^5

- calculate the product, by adding all the powers

(2^34)^5

= 2^170

5 0

3 years ago

Read 2 more answers

Sophia exchanged 1000 U.S. dollars for the South African currency, which is called the rand. The exchange rate was 7.15 rand to

dolphi86 [110]

Part a:-

7.15 rands = 1 dollar

So we are going to MULTIPLY to find out how many rands there are going to be.

1000 × 7.15 = 7150

So, 7150 rands is your answer.

Part b:-

To do this first we will DIVIDE.

6274 ÷ 7.15 ≈ 877.482.......

So, 6274 rands is ABOUT $878.

Par a:- 7150 rands

Part b:- about $878.

Hope I helped ya!!!!!

3 0

3 years ago

What 3 prime numbers times together to make 231

Masja [62]

$231 | \div 3 \\
77 | \div 7 \\
11 \\ \\
231=3 \times 7 \times 11$

The numbers are 3, 7, and 11.

7 0

2 years ago