Answer:
2555555
Step-by-step explanation:
Question:
A prism with a base area of 8 cm² and a height of 6 cm is dilated by a factor of 5/4 .
What is the volume of the dilated prism?
Enter your answer, as a decimal, in the box.
Answer:
The volume of the dilated prism is 
Explanation:
A prism with a base area of 8 cm² and a height of 6 cm
The volume of the prism can be determined by the formula, 
Volume of the prism is given by



Thus, the volume of the prism is 
It is also given that the volume of the dilated prism is dilated by a factor of 
Hence, the new volume is given by




Thus, the volume of the dilated prism is 
For this case we must solve the following questions:
Question 1:
We should simplify the following expression:

Applying double C we have:

By definition of multiplication of powers of the same base we have to place the same base and add the exponents:
Canceling common terms:

Answer:
Option A
Question 2:
We should simplify the following expression:

So, we have:

Simplifying common terms:

Answer:
Option D
Question 3:
We factor the following expressions to rewrite the experience:
<em>
: </em>We look for two numbers that multiplied give 10 and added 7:

<em>
</em> We look for two numbers that multiplied give -50 and added -5:

<em>
</em>
Rewriting the given expression we have:

We simplify common terms in the numerator and denominator we have:

Answer:
Option D
Okay so the first one is right.
The second one is wrong.
the third one is right.
The forth one is wrong.