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Musya8 [376]
3 years ago
7

The average yearly rainfall in Lakeview is 21.55 inches. What is the total amount of rainfall in inches in Lakeview in 5.75 year

s? A 1,239.125 B 12.39125 C 123.9125 D 27.3
Mathematics
1 answer:
spin [16.1K]3 years ago
5 0

Answer:

C = 21.55*5 +(0,75*21.55) = 123.9125

Step-by-step explanation:

So because you have the average rainfall in a year, then for a 5 year period, you just multiply that number by 5 (21.55*5 = 107.75 inches).

Then because you want the rainfall for 5.75 years and you've just calculated it for 5 years as shown above, you still need to do it for the remaining 0.75 years (5.75 -5 = 0.75).

So you just multiply 0.75*21.55 = 16.1625 inches. The add the calculated inches for 5 years with the inches for 0.75 years.

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7 0
4 years ago
Find f. (Use C for the constant of the first antiderivative and D for the constant of the second antiderivative.)
sashaice [31]

Answer:

f(x) = x^3  -sinx +Cx+D

Step-by-step explanation:

Given that:

f ''(x)= 6x +sinx

We are given the 2nd derivative of a function f(x) and we need to find f(x) from that.

We will have to integrate it twice to find the value of f(x).

Let us have a look at the basic formula of integration that we will use in the solution:

1.\ \int {(a\pm b)} \, dx =\int {a} \, dx + \int {b} \, dx \\2.\ \int {x^n} \, dx = \dfrac{x^{n+1}}{n+1}+C\\3.\ \int {sinx} \, dx = -cosx+C\\4.\ \int {cosx} \, dx = sinx+C

\int\ {f''(x)} \, dx =\int\ {(6x +sinx)} \, dx \\\Rightarrow \int\ {6x} \, dx  + \int\ {sinx} \, dx \\\\\Rightarrow 6\dfrac{x^2}{2} -cosx +C\\\Rightarrow 3{x^2} -cosx +C\\\Rightarrow f'(x)=3{x^2} -cosx +C\\

Now, integrating it again to find f(x):

f(x) =\int {f'(x)} \, dx =\int{(3{x^2} -cosx +C)} \, dx \\\Rightarrow \int{3{x^2}} \, dx  -\int{cosx} \, dx  +\int{C} \, dx\\\Rightarrow 3\times \dfrac{x^3}{3}  -sinx +Cx+D\\\Rightarrow x^3  -sinx +Cx+D\\\\\therefore f(x) = x^3  -sinx +Cx+D

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4 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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krok68 [10]

Answer:

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Step-by-step explanation:


8 0
3 years ago
What is the graph of the function x^2-9x+20 over x-4
Greeley [361]

Answer:

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Step-by-step explanation:

The rational function can be simplified to ...

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The graph of this is a straight line, with a hole at x=4, where the function is not defined.

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