Suppose f(x) = ab^x is an exponential GROWTH function. Which function, then, represents exponential DECAY?

Answers

Answer 1
Answer:

Answer:

a \neq 0, b > 1 and r < 0, where x' = r\cdot x.

Step-by-step explanation:

An exponential growth function that represents exponential decay has a \neq 0, b > 1 and r < 0, where x' = r\cdot x.

Answer 2
Answer: f(x) = ab^x
It is the same function. In the case of growth, b represents a number greater than zero, but in decay, it represents a number between 0 and 1.


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The product of 5 more than p and 7?

Answers

If you would like to solve the following expression, you can do this using these steps:

the product of 5 more than p and 7:
5 more than p ... p + 5
the product ... *
(p + 5) * 7 = 7 * p + 7 * 5 = 7 * p + 35

The correct result would be 7 * p + 35.
The product of 5 more than p and 7 can be expressed algebraically as (5 + p) * 7.

This can also be expressed as 35 + 7p or 7p + 35.

Emily has a coupon for 20 percent off her purchase. She finds a backpack she likes on the discount rack. It's original price is $60, but everything on the rack comes with a 30 percent discount. Emily says, "thirty percent and twenty percent make fifty percent so ur will cost $30. Is emy correct?

Answers

Answer: she is incorrect

Step-by-step explanation:

If Emily had a coupon for 20 percent off her purchase, this means that whatever she bought, the total amount would be reduced by 20%. She will be paying 80%

She finds a backpack she likes on the discount rack. It's original price is $60, but everything on the rack comes with a 30 percent discount.

This means that ordinarily,the amount she is meant to pay on the total goods she is buying is 30% lesser than $60. She will be paying

60 - (30/100 ×60)

60 - 0.3×60 = 60-18 = $42

Since she has a 20% coupon on total cost of goods bought, she would be paying

42 - (20/100 ×42)

42 - 0.2×42

= 42 - 8.4 = $33.6

Therefore,

If Emily says, "thirty percent and twenty percent make fifty percent so that her cost will be $30. She is incorrect. Her cost is $33.6

Answer:

she is incorrect.

Step-by-step explanation:

-3/5x=15 (solve the equation)

Answers

Answer:

x=-1/25

Step-by-step explanation:

-3/5x=15

-3/5x(5x)=15(5x)

-3=75x

75x=-3

x=-3÷75

=-3/75

=-1/25

Domain is the set of all input values, while range is the set of all:

Answers

all output values. This is because the domain of a function is the set of all possible x-values that you will put into the equation while the range is the set of all possible y-values, the solution.

Please helppDetermine whether the sequence of mapping rules will lead to the image being congruent to the pre-image (x, y) -> (x - 2, y)

No or yes if yes then is it a translation or reflection, if no then will it be small or with the size of the pre image be changed?

Answers

Answer:

translation, pre-image wouldn't change

Step-by-step explanation:

An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential shortage of vaccines for the area. She will need to provide a recommendation for how to allocate the vaccines appropriately across the city. She takes a simple random sample of 334 people living in East Vancouver and finds that 43 have recently had the flu. Suppose that the epidemiologist wants to re-estimate the population proportion and wishes for her 95% confidence interval to have a margin of error no larger than 0.03. How large a sample should she take to achieve this?

Answers

Answer:

The sample should be as large as 480

Step-by-step explanation:

Probability of having a flu, p = 43/334

p = 0.129

Margin Error, E = 0.03

Confidence Interval, CI= 95%

At a CI of 95%, z_(crit) = 1.960

The sample size can be given by the relation:

n = p(1-p)(z/E)^(2)

n = 0.129(1-0.129)(1.960/0.03)^(2) \nn = 479.59\nn = 480

Final answer:

To determine the sample size needed to estimate the population proportion with a desired margin of error, we can use the formula n = (z^2 * p * (1-p)) / (E^2), where n is the required sample size, z is the z-score corresponding to the desired level of confidence, p is the estimated proportion of the population with the characteristic, and E is the desired margin of error. Plugging in the given values, the epidemiologist should take a sample size of approximately 3245 in order to achieve her desired margin of error.

Explanation:

To determine the sample size needed to estimate the population proportion with a desired margin of error, we can use the formula:

n = (z^2 * p * (1-p)) / (E^2)

Where:

  • n is the required sample size
  • z is the z-score corresponding to the desired level of confidence (in this case, 95% confidence)
  • p is the estimated proportion of the population with the characteristic (in this case, the proportion of people with the flu in East Vancouver)
  • E is the desired margin of error (in this case, 0.03)

Plugging in the given values:

n = (z^2 * p * (1-p)) / (E^2) = (1.96^2 * 0.129 * 0.871) / (0.03^2) ≈ 3244.42

So, the epidemiologist should take a sample size of approximately 3245 in order to achieve her desired margin of error.

Learn more about Calculating Sample Size here:

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