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2 years ago

Is

4]{5x^{5} }" align="absmiddle" class="latex-formula"> equal $(\sqrt[4]{5x} )^{5}$ ?

Mathematics

1 answer:

stira [4]2 years ago

7 0

Answer: It is not

Explanation:
Fourth root 5x^5

(Fourth root 5x)^5
= fourth root 3125x^5

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Which story problem could be solved using the given equation?

ddd [48]

Answer:

D. Jasmine bought some tiles to put around her patio. Each tile has a length of 23 feet and a width of 15 feet. What is the area, in square feet, of each tile?

Step-by-step explanation:

Area= Length x Width

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2 years ago

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Mr. Sawyer drove his car from his home to New York at the rate of 45 mph and returned over the same road at the rate of 40 mph.

AveGali [126]

Answer: Time taken by him in going = 8 hours

Time taken by him in returning = 9 hours

Step-by-step explanation:

Let the total distance from home to New York is x miles,

$\text{ Since, Time} = \frac{\text{Distance}}{\text{Speed}}$

Also, he drove his car from his home to New York at the rate of 45 mph,

⇒ $\text{ Time taken by him in going } = \frac{x}{45}\text{ hours}$

And, returned over the same road at the rate of 40 mph.

⇒ $\text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}$

According to the question,

Time taken by him in returning - Time taken by him in going = 30 minutes = 1/2 hours, ( 1 hours = 60 minutes )

⇒ $\frac{x}{40}-\frac{x}{45}=\frac{1}{2}$

⇒ $\frac{9x}{360}-\frac{8x}{360}=\frac{1}{2}$

⇒ $\frac{x}{360} = \farc{1}{2}$

⇒ $2x=720$

⇒ $x=360\text{ miles}$

Hence, the total distance from home to New York = x miles = 360 miles

⇒ $\text{ Time taken by him in going } = \frac{x}{45}\text{ hours}$

$=\frac{360}{45}=8\text{ hours}$

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3 0

3 years ago

What is the answer to 3/x-2 is ≥12

Tju [1.3M]

Answer:

The answer to your question is 0 < x ≤ 3/14

Step-by-step explanation:

Here are the steps to solve it.

First, you need to solve your inequality step-by-step:

3/x −2 ≥ 12

-2x + 3/x = ≥12

Next, find the critical points of the inequality:

2x + 3/x = 12

−2x + 3 = 12x (Multiply both sides by x)

−2x + 3 − 12x = 12x − 12x (Subtract 12x from both sides)

−14x + 3 = 0

−14x + 3 − 3 = 0 − 3 (Subtract 3 from both sides)

−14x = −3

-14x/ -14 = -3/ -14 (Divide both sides by -14)

So, that gives you your answer:

x = 3/14

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It equals 5.6. ........

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