Answer:
1203.6 ---- the six is recurring ( .666666...)
Step-by-step explanation:
volume of hemisphere= 
x 3.14 x r^3
volume of cylinder= 3.14 x r^3 x h
1. Volume of hemisphere= 2/3 x 3.14 x 5^3 = 261.6 recurring
2. volume of cylinder = 3.14 x 5^2 x12 = 942
3. add the two together -----------> 1203.6
Answer:
Step-by-step explanation:
Look at the picture.
<h3>
Answer: Distance between x intercepts is 1 unit.</h3>
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Explanation:
Let's find the x intercept of f(x). Replace f(x) with 0 and solve for x
f(x) = -2x+2
0 = -2x+2
2x = 2
x = 2/2
x = 1
Plugging x = 1 into f(x) leads to f(x) = 0. The x intercept of f(x) is 1.
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Now onto g(x). If we were given a row that had y = 0, then we'd immediately find the x intercept. However, that isn't given, so we'll have to do a bit of work to find the equation for g(x).
First we need the slope. Pick any two rows to find the slope. I'll pick the middle two rows.
m = (y2-y1)/(x2-x1)
m = (3-6)/(1-0)
m = -3/1
m = -3 is the slope
The y intercept is b = 6 as the table shows this pairs with x = 0. The y intercept always happens when x = 0.
So with m = -3 and b = 6, we see that g(x) = -3x+6.
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Plug in g(x) = 0 and solve for x. We'll use similar ideas done in the first section at the very top
g(x) = -3x+6
0 = -3x+6
3x = 6
x = 6/3
x = 2 is the x intercept of g(x)
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In summary, we found...
- x = 1 is the y intercept of f(x)
- x = 2 is the y intercept of g(x)
Subtract the x intercept values to get 2-1 = 1, which is the distance between the x intercepts. The distance is never negative.
First convert the length of the board into centimeter:
2.5m=250cm,because 1m=100cm
x-use the unknown sign for the first shelf
(x*2)+18-As the second shelf is 18cm longer than twice the length of the first one
x-12-as the third shelf is 12cm shorter than the first shelf
x+4-as the remaining(forth) shelf is 4cm longer than the first shelf
Add up all terms and the result is 250 on the other side of equal sign,solve it:
x+(2x+18)+(x-12)+(x+4)=250
transfer like terms on one side and the other ones on the other side
x+2x+x+x=250-18+12-4
add the like terms up
5x=240
divide 240 with 5 as it is transferred on the other side
x=240/5
finally-the result for the first shelf
x=48
apply the result of the first shelf to get the result of the second shelf
(48*2)+18=96+18=114
I know that it is too long,but I hope that it will help you.. :-)
This is -3x4 - 2x3 + 3x2 + 3x4 - 4x3 + x2 = -6x3 + 4x2
Its B
