The correct answer is C. 4π / 3
Hope this helps!
Answer:
Option A. The volume of the sphere is multiplied by 1/343.
Step-by-step explanation:
The volume of a sphere can be obtained by the following formula:
V = 4/3πr^3
Let the initial volume (V1) of the sphere be:
V1 = 4/3πr^3 = (4πr^3)/3
Now, if we multiply the radius by 1/7, then the new volume (V2) of the sphere will be:
V2 = 4/3 x π x (1/7r)^3
V2 = 4/3 x π x 1/343r^3
V2 = (4πr^3)/1029
Now we determine the ratio of V2 : V1 as shown below:
V2/V1 = (4πr^3)/1029 ÷ (4πr^3)/3
V2/V1 = (4πr^3)/1029 × 3/(4πr^3)
V2/V1 = 3/1029
V2/V1 = 1/343
V2 = 1/343 x V1
Therefore, the volume of the sphere is multiplied by 1/343.
Answer:
The answer is
<h2>20 + 56i</h2>
Step-by-step explanation:
(2 -10i) (-5 + 3i)
Using FOIL multiply each term in the first bracket by the terms in the second <u>bracket</u>
That's
2(-5) + 2(3i) - 10i(-5) - 10i(3i)
<u>Multiply the numbers and simplify</u>
We have
- 10 + 6i + 50i - 30i²
From the rules of imaginary numbers
<h3>i² = - 1</h3>
So we have
- 10 + 56i - 30(- 1)
- 10 + 56i + 30
Simplify
30 - 10 + 56i
We have the final answer as
<h3>20 + 56i</h3>
Hope this helps you
Answer:
First Equation: 6a-23
Second Equation: 5a-20
Step-by-step explanation:
So, I think you want me to answer part 2...
For the first equation, we can see that the denominator stays the exact same, meaning the numerator will also not change.
For the second equation, we can see the denominator changed from a-3 to 5a-15. The denominator was simply multiplied by 5. Since the denominator was multiplied by five we must multiply the numerator by five as well.
5(a-4)
5a-20
Hope this helps :)
Answer:
*Me Dividing 3 3/4 divided by 5 5/8* there you go.
Step-by-step explanation: