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solmaris [256]
4 years ago
14

2. Name two ways of finding the rate of change of a linear function

Mathematics
1 answer:
Anvisha [2.4K]4 years ago
8 0

Answer:

When you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. f(x) = x2 and f(x + h) = (x + h)2 Therefore, the slope of the secant line between any two points on this function is 2x + h.

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Assume the exponential growth model ​A(t)equals=Upper A 0 e Superscript ktA0ekt and a world population of 5.95.9 billion in 2006
Whitepunk [10]

Answer:

1.4% is the maximum acceptable annual rate of​ growth such that the population must stay below 24 billion during the next 100​ years.

Step-by-step explanation:

We are given the following in the question:

The exponential growth model ​is given by:

A(t) = A_0e^{kt}

where k is the growth rate, t is time in years and A_0 is constant.

The world population is 5.9 billion in 2006.

Thus, t = 0 for 2006

A_0 = 5.9\text{ billions}

We have to find the maximum acceptable annual rate of​ growth such that the population must stay below 24 billion during the next 100​ years.

Putting these values in the growth model, we have,

24 = 5.9e^{100k}\\\\k = \dfrac{1}{100}\ln \bigg(\dfrac{24}{5.9}\bigg)\\\\k = 0.01403\\k = 0.01403\times 100\% = 1.4\%

1.4% is the maximum acceptable annual rate of​ growth such that the population must stay below 24 billion during the next 100​ years.

8 0
3 years ago
Suppose that only 65% of all drivers in a certain state wear a seat belt. a random sample of 80 drivers is selected. what is the
jonny [76]

Answer:

Pr(X >42) = Pr( Z > -2.344)

                = Pr( Z< 2.344) = 0.9905

Step-by-step explanation:

The scenario presented can be modeled by a binomial model;

The probability of success is, p = 0.65

There are n = 80 independent trials

Let X denote the number of drivers that wear a seat belt, then we are to find the probability that X is greater than 42;

Pr(X > 42)

In this case we can use the normal approximation to the binomial model;

mu = n*p = 80(0.65) = 52

sigma^2 = n*p*(1-p) = 18.2

Pr(X >42) = Pr( Z > -2.344)

                = Pr( Z< 2.344) = 0.9905

7 0
3 years ago
Kelly rows a boat at the rate of 7040 yards per hour. How fast did Kelly row in miles?
irakobra [83]

Answer:

4 mph

Step-by-step explanation:

yard → mile = divide the length value by 1760

7040 / 1760 = 4 miles per hour

6 0
3 years ago
Which of these statements is true? A. The interior angles of both a regular and irregular pentagon have a sum of 540o. B. The in
Varvara68 [4.7K]

Answer:

 Option A is the correct answer.

Step-by-step explanation:

 The sum of interior angles of a polygon is given by (n-2) x 180°, where n is the number of sides.

 The sum of interior angles will not affect irregularity of polygon, it is same for regular and irregular polygon.

 For a pentagon n =5.

 Sum of interior angles = (5-2) x 180 = 3 x 180 = 540°

  Option A is the correct answer.

5 0
3 years ago
W = A/L<br> (solve for A)<br> A = W +L<br> A = W-L<br> A = W/L<br> A = LW
kipiarov [429]
A=wl, so the answer is A :)
6 0
3 years ago
Read 2 more answers
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