Answer:
f(x) = g(x-9)
Step-by-step explanation:
<h3>
Answer: approximately 2076.56001909938
cubic cm</h3>
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Work Shown:
V1 = volume of cylinder
V2 = volume of cone on top
V3 = V1+V2 = volume of entire 3D solid figure
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V1 = volume of cylinder
V1 = pi*r^2*h
V1 = pi*8.75^2*5.8
V1 = 1395.06348773471 which is approximate
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V2 = volume of cone
V2 = (1/3)*pi*r^2*h
V2 = (1/3)*pi*8.75^2*8.5
V2 = 681.49653136466 which is approximate
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V3 = V1+V2
V3 = 1395.06348773471+681.49653136466
V3 = 2076.56001909938
Answer is approximate
The units for the volume are in cubic cm.
Answer: 6 x 10^12
Step-by-step explanation:
Move the decimal to the left so there is one non-zero digit number left of the decimal point. This will be the exponent placed on 10
The probability of getting a red card is 1/2 and the probability of getting a 10 is 4/52. To find the probability of getting both a red card and a 10, multiply the two.
(1/2)(4/52) = 4/104
4/104 = 1/26
Therefore, the probability is 1/26
100 ---> 96 is -4
96 ---> 104 is +8
104 ---> 88 is -16
88 ---> 120 is +32
120 ---> 56 is -64
So first we go down by 4, then up by 8, then down 16, then up 32, then finally down 64.
The pattern of numbers is: -4, +8, -16, +32, -64
Notice it's the powers of 2:
2^2 = 4
2^3 = 8
2^4 = 16
2^5 = 32
2^6 = 64
each term doubles. Also each term alternates in sign. One is positive, then the next is negative and so on.
The last difference is -64, which doubles to -128. Change the sign to positive to get +128
Add 128 to the last term of 56 to get
128+56 = 184
Therefore, the final answer is 184
