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2 years ago

(X to the fourth power) squared equals

Mathematics

1 answer:

Viktor [21]2 years ago

4 0

Answer:

$(x^4)^2=x^8$

Step-by-step explanation:

Because of the power of a power property, which states that $(x^n)^m=x^{n\times{m}}$ , where m and n are real numbers, the expression you mentioned can be simplified by applying this property like this: $(x^4)^2=x^{4\times2}=x^8$

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No clue how to do this

andreev551 [17]

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2 years ago

What fraction is bigger 1/4 or 16 1/3

Evgen [1.6K]

16 1/3 is bigger than 1/4

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3 years ago

Trina has $1000 to purchase an open-top cylindrical dog pen in her backyard. She wants the height of the pen to be 5 feet. If th

RideAnS [48]

Answer:

C. 31.83 feet.

Step-by-step explanation:

We have been given that Trina has $1000 to purchase an open-top cylindrical dog pen in her backyard. She wants the height of the pen to be 5 feet.

First of all, we will find the surface area of dog pen using surface area of cylinder.

$\text{Surface area of cylinder}=2\pi rh$ ,where,

r = Radius of cylinder,

h = Height of cylinder.

$\text{Surface area of cylinder}=2\pi r*5$

$\text{Surface area of cylinder}=10\pi r$

Since the area of each square foot of pen costs $1, so in $1000 Trina can cover an area of 1000 square feet.

Now, we will set the surface area of cylinder equal to 1000 to solve for the radius.

$1000=10\pi r$

Upon dividing both sides of our equation by 10 pi we will get,

$\frac{1000}{10\pi}=\frac{10\pi r}{10\pi}$

$31.8309886=r$

$r\approx 31.83$

Therefore, the radius of the dog pen is 31.83 feet and option C is the correct choice.

4 0

3 years ago

The time to complete the construction of a soapbox derby car is normally distributed with a mean of three hours and a standard d

TEA [102]

Answer:

The probability that it would take more than four hours to construct a soapbox derby car = 0.1587 or 15.87 $\%$

Step-by-step explanation:

Given -

Mean $(\nu )$ = 3 hours

Standard deviation $(\sigma )$ = 1 hours

Let X be the no of hours to construct a soapbox derby car

the probability that it would take more than four hours to construct a soapbox derby car =

$P(X > 4)$ = $P(\frac{X - \nu }{\sigma}> \frac{4 - 3 }{1})$

= $P(Z > 1)$ Put $(Z = \frac{X - \nu }{\sigma})$

= 1 - $P(Z < 1)$

= 1 - .8413 Using z table

= 0.1587

3 0

3 years ago

What is the answer to <br> x-3y

natima [27]

Final Result :

x - 3y

Processing ends successfully

6 0

2 years ago