MATHEMATICS HIGH SCHOOL

If x>o, which of the following is equivalent to the expression(√x) (√2)?

2x
√2x
x√2
x²√2

Answers

Answer 1

Answer:

Answer:

√2x.

Step-by-step explanation:

√x * √2 = √(2x).

Its the second option.

Answer 2

Answer:

Answer:

The correct answer is: √2x

Step-by-step explanation:

We (must to) know that is:

√a · √b ⇔ √ab

God with you!!!

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Suppose the volume of milk in a glass is 230 cubic cm. If 1 gallon of milk equals 3.79 liters, how many glasses of milk are in 1 gallon

Answers

1 liter= 1 dm³=1000 cm³
230 cm³ = 0.23 dm³ = 0.23 lit.
If 1 gal= 3.79 lit.:
3.79 : 0.23 = 16.478 glasses of milk

How much will Ashley’s plan cost for the same number of texts as when Jumel’s costs $75? Show your work and write your answer in a sentence.Please help me out

Answers

Answer: In order to begin figuring that out, we need to know how both of their plans work.

This month the company reported an increase in profit of 25%. If the company made $45,000 last month, how much did they make this month? A. $5,400 B. $5,625 C. $54,000 D. $56,250

Answers

Answer:

D. $56,250

Step-by-step explanation:

Calculate the increase.

45000 × (1 + 25%)

45000 × 1.25

= 56,250

They made $56,250 this month.

Answer:

Step-by-step explanation:

What is the value of the expression below when c - 5 and d - 4 (c is to the second power)?6c2-5d+8

Answers

Well, let's write it out, shall we? 6c2-5d+8 Now plug in the numbers. 6(5^2)2-5(4)+8 Now simplify using PEMDAS Parentheses Exponents Multiplication Division Addition and Subtraction (They go together go from left to right in the equation) 5^2= 5*5 = 25 6 * 25 = 150 150 * 2 = 300 5 * 4 = 20 Rewrite the equation. 150-20+8 Use PEMDAS again ( refer to the previous mentioning) 150 - 20 = 130 130 + 8 = 138

You mix the letters M, A, T, H, E, M, A, T, I, C, A, and L thoroughly. Without looking, you draw one letter. Find the probability P(A). Write the probability as:a. a fraction in simplest form
b. a decimal
c. a percent

Answers

There are 12 letters in the mix and there are 3 letter A's. Therefore, the probability of drawing A of P(A) is:

a. a fraction in simplest form = 3/12 = 1/4
b. a decimal = 1/4 = 0.25
c. a percent = 0.25 *100% = 25%

A regulation basketball has a diameter of about 9 inches. What is the best approximation of the volume of the ball?3050 in3

84.8 in3

382 in3

215 in3

Answers

Answer: The correct option is (C) 382 in³.

Step-by-step explanation: Given that a regulation basketball has a diameter of about 9 inches.

We are to select the best approximation of the volume of the ball.

We know that basketball is of the shape of a SPHERE.

The VOLUME of a sphere with radius 'r' units is given by the formula:

$V=(4)/(3)\pi r^3.$

The diameter of the basketball is about 9 inches, so its approximate radius will be

$r=(9)/(2)=4.5~\textup{inches}.$

Therefore, the approximate volume of the basketball is

$V\n\n\n=(4)/(3)\pi r^3\n\n\n=(4)/(3)* 3.14* (4.5)^3\n\n\n=(4*3.14* 91.125)/(3)\n\n\n=381.51~\textup{in}^3~\textup{[approx.]}\sim 382~\textup{in}^3.$