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2 years ago

If x and y are positive real numbers, which expression is equivalent to the expression below?

Mathematics

1 answer:

Vika [28.1K]2 years ago

8 0

Answer:

<u>The correct answer is C. 21x³y</u>

Step-by-step explanation:

Let's simplify the product, this way:

(49x²y)^1/2 * (27x⁶y^3/2)^1/3

Let's recall that x^1/2 = √x and x^1/3 = ∛x

√(49x²y) * ∛(27x⁶y^3/2)

7x √y * 3x² √y

Let's recall that √y * √y = √y² = y

21x³y

<u>The correct answer is C. 21x³y</u>

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The point (-3, 2) lies on a circle. What is the length of the radius of the circle if the center is located at (-1, 5)?

enot [183]

Answer:

R: √(13)

Step-by-step explanation:

Distance formula:

r^2 = (x-h)^2 + (y-k)^2

Center: (h,k)=(-1,5)

Circle: all points of (x,y)=(-3,2)

r^2=(-3+1)^2 + (2-5)^2

r^2=(-2)^2 + (-3)^2

r^2= 4 + 9

r^2=13 ((r^2)^(1/2)) = 13^(1/2) = 3.6055

8 0

2 years ago

13.24503311258278 Round to the nearest tenth as needed

Ksenya-84 [330]

The number provided rounded to the nearest tenth is 13.2.

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7 0

3 years ago

Amy earned $93 at work yesterday. She gets paid $8 per hour, plus she received a $45 bonus. Write an equation that can be used t

seropon [69]

93 = 8x + 45.

Have to have 20 characters so sorry for this sentence.

6 0

3 years ago

Read 2 more answers

Solve 2x ≤ 30. Round to the nearest ten-thousandth.

trasher [3.6K]

Answer:

Um i think it is B and i'm gonna be honest i'm not as good with math as i am in reading.

Step-by-step explanation:

7 0

2 years ago

The following data points represent the volume

maks197457 [2]

Answer:

The missing volume of gas is 6 liters

Step-by-step explanation:

The following data points represent the volume of gas in each race car driver's tank (in liters):

4,5, 13, ?

Let the missing value be x

Data : 4,5,13,x

$Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}$

$7 = \frac{4+5+13+x}{4}$

$7 \times 4=4+5+13+x$

28=22+x

28-22=x

6=x

Hence The missing volume of gas is 6 liters

6 0

3 years ago

Read 2 more answers