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2 years ago

What is the correct radical form of this expression?

Mathematics

1 answer:

Sophie [7]2 years ago

4 0

Option A. $\sqrt[5]{\left(32 a^{10} b^{\frac{5}{2}}\right)^{2}}$ is the correct radical form.

Step-by-step explanation:

Step 1:

The numerator of the exponential is kept where it is whereas when converting an exponential into a radical, the denominator becomes the root of the variable.

The numerator of the exponential is 2 while the denominator is 5.

Step 2:

So the numerator is kept where it is while the denominator, 5 becomes the root of the variable.

Out of the given options, options 2, 3 and 4 have square roots so they cannot be the answers. Option 1 has a root to the power of 5, so it is the correct radical form.

So option 1 is the right answer.

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The tree nearest to the classroom is 30 feet tall.

Afina-wow [57]

Answer: Feet

Step-by-step explanation:

7 0

1 year ago

Read 2 more answers

What is the answer to this question? Someone help!!

nirvana33 [79]

Her expenses are a fixed expense of $4500 and a weekly expense of $200.
Let's call the unknown number of weeks w.

In w weeks, the weekly expenses will by 200w.
The total expense is

200w + 4500

In a week, when earns $550. In w weeks, she earns 550w.

Set the expenses equal to the earnings and solve for w.

550w = 200w + 4500

Subtract 200w from both sides.

350w = 4500

w = 12.86

It takes her 12.86 weeks to break even.
If she works 13 weeks, she begins to make a profit.

5 0

3 years ago

While passing a slower car on the highway, i accelerate uniformly from 12 m/s to 24 m/s in a time of 10.0s. How far do you trave

Taya2010 [7]

You say that there is uniform acceleration so:

vf-vi=at (final velocity minus initial velocity is equal to acceleration times time)

We know vf, vi, and t so we can solve for acceleration:

24-12=a10

12=10a

a=1.2

That is the acceleration, we will need to integrate with respect to time twice...

v=⌠a dt

v=at+vi , we know a=1.2m/s^2 and vi=12m/s

v=1.2t+12,

x=⌠1.2t+12 dt

x=1.2t^2/2+12t+xo, we can just let xo=0 for this problem...

x(t)=0.6t^2+12t

Now we know that this acceleration lasts for 10 seconds so the distance traveled in that time is:

x(10)=0.6(10^2)+12(10)

x(10)=60+120

x(10)=180 meters

6 0

2 years ago

Suppose that an urn contains 3 black marbles, 7 yellow marbles, and 10 green marbles. If one marble is selected, determine the p

Yuliya22 [10]

Answer:

1/2

Step-by-step explanation:

Simple probability is a ratio of the number of ways the thing we want to happen can to the total possible outcomes.

(For example, we flip a coin and want heads, but it can land on heads or tails. Our probability of getting heads is 1/2, one way to get heads over the 2 possible outcomes)

So for this problem, there's 20 possible things that CAN happen (3 + 7 + 10) and 10 ways we get what we want (a green marble).

Our probability of getting a green marble is $\frac{10}{20\\}$ , which simplifies to $\frac{1}{2}$

3 0

3 years ago

A+b+c=180 a=x+25 b=x-5

leva [86]

A+b+c=180
subsittute
x+25+x-5+c=180
2x+20+c=180
minus 20 both sides
2x+c=160
mius 2x
c=160-2x

3 0

2 years ago