Area=wide times long
area=40
4=wide
40=4 times long
divide both sides by 4
10=long
10 yd long
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.
Hello there! :)
6^8*6^3
Here, we have the same base, so we add the powers:
6^11
Now, our expression looks like this:
6^11/6^5
Subtract the powers now that we divide:
6^6
So the missing exponent is 6. Hope it helps!
If you have any query, feel free to ask!
~An excited gal
Answer:
1/20 or 0.05
Step-by-step explanation:
<u>The probability of getting yellow</u>:
<u>The probability of getting a lion rubber band</u>:
<u>The probability of getting two events (getting yellow, getting a lion) are independent, so we have to multiply the two probabilities to get</u>:
- (1/5) × (1/4)
- 1/20 or 0.05
