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Nutka1998 [239]
3 years ago
10

Find the volume of the composite solid. Round your answer to the nearest tenth.

Mathematics
1 answer:
EastWind [94]3 years ago
4 0

Answer:

646.04 cm³

Step-by-step explanation:

<u>Cube volume formula:</u>

V=l*w*h

V=8*8*8

V=512

<u>Hemisphere volume formula:</u>

V=(4/3πr³)1/2

V=(4/3π4³)1/2

V=128/3

<u>Add both together</u>

128/3 + 512 ≈ 646.04cm³

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Given f(x)= 7x-5. Find the value of f(8)​
e-lub [12.9K]

Answer: 52

Explanation:

You need to replace the x-values with 8 to solve this. So, the equation would look like this. f(8)= 7 x 8 - 5

7 times 8 is 56. 56 minus four is 52 which is your answer.

If you needed to graph this then it would look like this... (8, 52)

The 8 is in the input because it is the x-value (we replace x with 8) and 52 is output/range/y-value because it is the answer.

8 0
3 years ago
Ine school librarian said, "We have 10 more than 3 times as many books as we had 5 years 830
professor190 [17]

Answer:

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5 0
3 years ago
find a function whose second derivative is y''=12x-2 at each point (x,y) on its graph and y=-x+5 is tangent to the graph at the
pogonyaev
Start by integrating y'' twice to get function y(x).

y' = \int (12x - 2) dx = 6x^2 -2x + c \\  \\ y = \int (6x^2 -2x+c )dx= 2x^3-x^2 +cx+d

Next find value of coefficients 'c' and 'd' using the given tangent line
The slope of tangent line is equal to y' when x=1.

6x^2 -2x+c = -1, x = 1 \\  \\ 6-2+c = -1 \\  \\ c = -5

The tangent line intersects the curve y(x) when x = 1.
If x = 1, then y = 4  (From y =-x+5)

y = 2x^3 -x^2-5x +d , x = 1, y = 4 \\  \\ 2-1-5+d = 4 \\  \\ d = 8

Final Answer:
y = 2x^3 -x^2 -5x+8
3 0
3 years ago
When e = 4, f = 2, and g = 8. If e varies jointly with f and g, what is the constant of variation?
jarptica [38.1K]
E\alpha fg
e=mfg
Where m is a constant of proportionality;
e=4, f=2 and g=8
Then;
4=m*2*8
4=16m
m=0.25
8 0
3 years ago
In your last 23 basketball games, you attempted 101 free throws and made 66. Find the experimental probability that you make a f
WARRIOR [948]
Experimental probability is the chance an event has to occur. It is derived from the number of times an event occurs to the total number of trials. You can use the following formula to calculate it. P = (o/t) * 100%, where o is the number of times the event occurred, and t is the total amount of trials ran. In this case, P = (66/101) * 100, which evaluates to P = 65.3% (after rounding)
Answer: 65.3% 
7 0
3 years ago
Read 2 more answers
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