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.
Okay so to round to a whole number there will be no decimal
this question will round down because the decimal is less than .5
therefor your answer is
615
Answer: Hello!
Here you have 53 integrated circuits, each with a probability of 0.02 of being defective.
If only one of them is defective, then the electronic product doesnt work.
Then we need the calculate the probability in wich all the 53 circuits arent defective.
the probability for each one to not be defective is 1 - 0.02 = 0.98
And if i want to see the probability for all of them to work fine, then i need to do the product of all the probabilities, this is multiply 0.98 53 times, or:
rounding to the four decimal place, we have: 0.3428
Wich is a kinda small probability for our product to work.
Answer:
The customer should choose B because then you pay less for everything not just the pants or the original cost.
Step-by-step explanation:
