Answer:
Step-by-step explanation:
letter H is 324, they are multiplying by 3 each time
letter k is multiplying by 1.5 each time so your next term is 10.125
i cant fully see the other, but i hope this helps!!!
Answer:
69,286,455 cu inches
Step-by-step explanation:
<u>Step 1: Convert yards to inches</u>
1 cu yard = 46656 cu inches
11 cu yard = y cu inches
<em>Cross multiply</em>
y = 11 x 46656
y = 513216 cu inches
<u>Step 2: Find total inches</u>
513216 + 17 = 513233 cu inches
<u>Step 3: Multiply total inches by 135</u>
513233 x 135 = 69,286,455 cu inches
!!
Part A)
f(x) = 5^x
f(0) = 5^0
f(0) = 1
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f(x) = 5^x
f(1) = 5^1
f(1) = 5
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f(x) = 5^x
f(2) = 5^2
f(2) = 5*5
f(2) = 25
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f(x) = 5^x
f(3) = 5^3
f(3) = 5*5*5
f(3) = 125
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Rate of change for section A = (f(1) - f(0))/(1 - 0)
Rate of change for section A = (5 - 1)/(1 - 0)
Rate of change for section A = 4/1
Rate of change for section A = 4
Rate of change for section B = (f(3) - f(2))/(3 - 2)
Rate of change for section B = (125 - 25)/(3 - 2)
Rate of change for section B = 100/1
Rate of change for section B = 100
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Part B)
From part A) above, we found,
Rate of change for section A = 4
Rate of change for section B = 100
Which means that section B's rate of change is 25 times greater (since 100/4 = 25, or 25*4 = 100)
Answer for part B: 25
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Extra: Explain why one rate of change is greater than the other.
The rate of change for section B is larger because the exponential function is growing faster as x increases. This is shown visually by the sharper and steeper incline as the function curve goes upward. The function starts off with relatively slower growth but it accelerates in speed.
First, add 2.7 and 5 to get 7.7. Then, multiply 7.7 and 3 to get 23.1. Finally, subtract 2 from 23.1.
If you're distributing, then multiply 3 by 2.7 and 5. Then, add and subtract the sum by 2.
Hope this helped!
