Answer:
Hemisphere radius = 3 inch
Sphere volume = 4/3 • π • radius^3
Sphere volume = 4/3 • π • 27
Sphere volume = 113.0973355292 cubic inches
Cylinder Volume = π • radius^2 • height
Cylinder Volume = π • 9 * 10
Cylinder Volume = 282.7433388231 cubic inches
TOTAL VOLUME = 113.10 + 282.74 cubic inches
TOTAL VOLUME = 395.84 cubic inches
Step-by-step explanation:
Answer:
y=12x-4
Step-by-step explanation:
To find the slope intercept form, we know the m(slope) but we need to find b.
y and x is given to us, so we can find b.
Plug in the numbers provided into the slope intercept form.
y=mx+b
20=(12)(2)+b
20=24+b
To find b, we have to get b by itself. So, we subtract both sides by 24.
-4=b
Now that we found b, we can plug this into the equation.
y=12x-4
This is a simple consequence of the Zero-sum problem: https://en.wikipedia.org/wiki/Zero-sum_problem
Answer:
1. $82,500
2. 169 : 110
Step-by-step explanation:
The computation is shown below:
Given that
1. Ratio between two computers is 3:2
And the first computer cost is $55,000
Let us assume the price of the second computer be x.
As we know that
Product of extremes = Product of mean.
2 : 3 :: 55000 : x .
Now cross mutiplication is to be done
2x = $55,000 × 3
x = $1,650,000 ÷ 2
= $82,500
2. Now if the price of the 2nd computer rised by $2,000
So the new cost would be
= $82,500 + $2,000
= $84,500
Now the ratio would be
= $55,000 : $84,500
= 169: 110
Answer:
125x^3
Step-by-step explanation:
So you can write it like (5x)^3
Then, when there are parenthesis,you multiply the exponent for each number inside by the exponent on the outside. So, that would make it: 5^3x^3. Since 5^3 is 125, you can write it like, 125x^3.
Hope this was helpful!
