Answer: B, D, and maybe E. Check my explanation for 'E'
Step-by-step explanation:
There are a few ways of visualizing the expression, but Ill try to show it to easiest way possible.

Notice nothing was changed because of the property of exponents. An exponent to a power means to multiply them. A thing you should remember for all future cases is that the one-half power means square root. It is the exact same thing. Therefore the new expression I created is the square root of 'x' cubed.
A:) This would be equivalent to x^2/3
B:) This is equivalent to x^3/2 because the square root is the 1/2 power to the power of 3.
C:) This would be equivalent to x^2/3
D:) This is equivalent to x^3/2 because the square root is the 1/2 power, but multiplied by the power under the radical.
E:) If this answer is to the third power, then it is equivalent. I cannot tell from this picture.
Answer:
4:05 PM / 16:05
Step-by-step explanation:
Time starts at 2:25.
After the ride home (15 minutes), it will be 2:40.
Then, after the bike ride it will be 3:10.
When he's finished with his homework, it will be 4:05.
Answer:
<em>780cm cubed</em>
Step-by-step explanation:
- <em>if we want to find the volume we would do length x width x height</em>
- <em>which would be 5 x 12 x 13</em>
- <em>so we would do 5 x 12 which is 60 </em>
- <em>then we would do 60 x 13 which equals 780</em>
- <em>So the answer is 780</em>
- <em>Since this is volume it would be 780cm cubed</em>
Answer:
First choice:

Explanation:
<em>The probability that the first is a man's card and the second, a woman's card</em> is calculated as the product of both probabilities, taking into account the fact that the second time the number of cards in the hat has changed.
In spite of it is said that the cards are drawn at once, since it is stated a specific order for the cards (first is a man's card and the second, a woman's card) you can model the procedure as if the cards were drawn consecutively, instead of at once.
<u>1. Probability that the first is a man's card</u>
- Number of cards in the hat = 20 (the 20 business card)
- Number of man's card in the hat: 10
- Probability = favorable oucomes / possible outcomes = 10/20 = 1/2.
<u />
<u>2. Probability that the second is a woman's card</u>
- Number of cards in the hat = 19 (there is one less card in the hat)
- Number of wonan's card in the hat: 10
- Probability = favorable oucomes / possible outcomes = 10/19.
<u>3. Probability that the first is a man's card and the second, a woman's card</u>
<u />
That is the first choice.
Answer:
A=2πrh
Step-by-step explanation:
A=2*22/7*4*9
=230