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3 years ago

Hey i keep on getting these questions wrong on my math hw and i was wondering if anyone could explain to me how to do them

Mathematics

1 answer:

zvonat [6]3 years ago

7 0

given

$\frac{f(x + h) - fx}{h}$

substitute the value given into the equation

$= \frac{5(x + h) ^{2} }{h} - 5 {x}^{2}$

$= 5( {x}^{2} + 2xh + {h} ^{2} ) - 5 {x}^{2}$

thus simplifying the numerator only

$= \frac{5 {x }^{2} + 10xh + 5 {h}^{2} - 5 {x}^{2} } {h}$

$= \frac{10xh + 5 {h}^{2} }{h}$

$= 10x + 5h$

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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.

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3 years ago

The quotient of three and the quantity of three less than one-sixth of a number x?

UkoKoshka [18]

$\frac{3}{\frac{x}{6}-3}=\frac{3}{\frac{x-18}{6}}=3*\frac{6}{x-18}=\frac{18}{x-18}$
Good, right?

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3 years ago

The average student loan debt for college graduates is $25,800. Suppose that that distribution is normal and that the standard d

qaws [65]

The answer would have to be 10

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3 years ago

If, while training for a marathon, you ran 76 miles in 2 2/3 months, how many miles did you run each month? (Assume you ran the

Gnesinka [82]

In 2 2/3 months you ran 76 miles.
To know how many miles you ran each month, you can simply use cross multiplication as follows:
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3 years ago

If f(x) is the total cost, in dollars, of x cupcakes, which of the following statements best describes the meaning of f(5) = 12?

dezoksy [38]

Answer:

See below

Step-by-step explanation:

This a form of the proportional relationship:

f(x) = kx, where f(x) - total cost, k- cost of each item, x - number of items

We have:

f(5) = 12

It means:

Total cost of 5 cupcakes is $12

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2 years ago