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Katyanochek1 [597]
3 years ago
6

Sarah is renting a car for her weekend trip to the mountains. The total cost of the rental, f(x), as it relates to the number of

miles driven, x, is shown in the graph below.
Mathematics
1 answer:
STatiana [176]3 years ago
8 0

Answer:

f(x) = 1/4x + 25

Step-by-step explanation:

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Solve the differential equation dy dx equals the quotient of x squared and y squared for y = f(x) with the initial condition y(0
Gnoma [55]
\displaystyle\frac{dy}{dx} = \frac{x^2}{y^2}\ \Rightarrow\ y^2 dy = x^2 dx\ \Rightarrow\ \int y^2 dy = \int x^2 dx\ \Rightarrow\textstyle\ \frac{1}{3}y^3 = \frac{1}{3}x^3 + C. \\ \\
\text{Now } y(0) = 2\ \Rightarrow\ \frac{1}{3}(2)^3 = \frac{1}{3}(0)^3 + C\ \Rightarrow\ \frac{8}{3} = C,\text{ so } \frac{1}{3}y^3 = \frac{1}{3}x^3 + \frac{8}{3}. \\ \\
y^3 = x^3 + 8\ \Rightarrow\ y = \sqrt[3]{x^3 + 8}
7 0
3 years ago
Question on attached image
beks73 [17]

Answer:

Red: 144. Green: 360 Brown: 552. Yellow: 144.

Step-by-step explanation:

Okay, so, to find the probabilities of red and yellow, we gotta add green and brown probabilities and then subtract that from one. Green and brown probabilities added together are 0.76. Subtract that from one and you get 0.24. Divide that by two and we get 0.12 for both red and yellow. Now we multiply 1200 by each probability.

6 0
2 years ago
If veronica reed is paid a gross weekly salary of $1036.00, what is her gross annual salary?
Ber [7]
So, (weekly) she receives 1036.00.
The question is asking to find out the (annual) salary which is a year.
There are about 52 weeks in a year.
To find the amount being payed annually we multiply 1036 by 52
=53,872.
3 0
3 years ago
Of the 90 votes cast for Marisol, 40% were by girls. How many girls voted for Marisol?
Dafna11 [192]

Answer:

The answer is <u>A) 36</u>

Step-by-step explanation:

Since 40% is equal to 0.4 of 1

You would multiply 90 by 0.4

Which is 36, which would give you answer A)

4 0
3 years ago
Read 2 more answers
What is the length x of the right triangle, rounded to the nearest<br> tenth?
Zarrin [17]

Answer:

109.5; B

Step-by-step explanation:

From your identity,

CosA = adjacent/ hypothenus

A represent an arbitrary angle between the sides in question.

In the question above, A=64

Hypothenus is the longest side and adjacent is the side just below the angle .

In the above case,

Hypothenus= X

adjacent =48

This means;

Cos64 = 48 /X

X = 48 / cos64; [ from cross multiplication and diving through by cos64]

X = 48 /0.4383 [ cos64 in radian = 0.4383]

= 109.51

= 109.5 to the nearest tenth.

Note( do your calculation of angle in radian or else, you won't get the answer)

6 0
3 years ago
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