Answer:
D) 8
Step-by-step explanation:
V Large = 4/3 Pi (2r) Cube
V Small = 4/3 Pi (r) Cube
8 r Cube/ r Cube = 8
Let us start dividing 30 by small prime numbers in increasing order .
the smallest prime number we use is 2
Let's divide 30 by 2 quotient is 15
so we get : 30 = 2* 15
15 is not a prime number , it can be factorized further .
now we start dividing 15
2 can not divide 15 so we move to next prime number that is 3
can 3 divide 15? yes .
we get a quotient 5
so 30 is now : 2* 15 = 2* 3*5
now we have to work on 5 but 5 is a prime number so we stop here .
the prime factorization of 30 is : 2* 3* 5
Answer : 2 *3*5
<h2>
Answer:</h2>
A prism is a solid object having two identical bases, hence the same cross section along the length. Prism are called after the name of their base. A rectangular prism is a solid whose base is a rectangle. Multiplying the three dimensions of a rectangular prism: length, width and height, gives us the volume of a prism:

FOR THE ORIGINAL PRISM WE HAVE THE FOLLOWING DIMENSIONS:

In fact, the volume is
because:

Now the height of the prism was changed from 3 centimeters to 6 centimeters to create a new rectangular prism, therefore:
FOR THE NEW PRISM WE HAVE THE FOLLOWING DIMENSIONS:

So the new volume is:

<h3><em>What do we know about the volume of the new prism?</em></h3>
<em>Well, the volume has increased from </em>
<em>and since</em>
<em>we can say that the new volume is two times the original volume.</em>
Answer:
(x + 3)^2 + (y - 2)^2 = 9
Step-by-step explanation:
<u>Equation for a circle: (x – h)^2 + (y – k)^2 = r^2</u>
<u />
<u>Step 1: Determine what h, k, and r are</u>
<em>h is the x value of the point: -3</em>
<em>k is the y value of the point: 2</em>
<em>r is the radius of the circle: 3</em>
<u>Step 2: Plug in and solve</u>
(x – h)^2 + (y – k)^2 = r^2
(x – (-3))^2 + (y – (2))^2 = (3)^2
<em>(x + 3)^2 + (y - 2)^2 = 9</em>
<em />
Answer: (x + 3)^2 + (y - 2)^2 = 9
Answer:
-15
Step-by-step explanation: