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2 years ago

Kobe, Amari, and DJ raised $125.45 for their football team. Kobe collected $24.55 more

Mathematics

1 answer:

vekshin12 years ago

3 0

Answer:

x+8.95 and x+24.55

Step-by-step explanation:

im not going to do this

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Find the particular solution of the differential equation that satisfies the initial condition(s). f ''(x) = x−3/2, f '(4) = 1,

sweet [91]

Answer:

Hence, the particular solution of the differential equation is $y = \frac{1}{6} \cdot x^{3} - \frac{3}{4}\cdot x^{2} - x$ .

Step-by-step explanation:

This differential equation has separable variable and can be solved by integration. First derivative is now obtained:

$f'' = x - \frac{3}{2}$

$f' = \int {\left(x-\frac{3}{2}\right) } \, dx$

$f' = \int {x} \, dx -\frac{3}{2}\int \, dx$

$f' = \frac{1}{2}\cdot x^{2} - \frac{3}{2}\cdot x + C$ , where C is the integration constant.

The integration constant can be found by using the initial condition for the first derivative ( $f'(4) = 1$ ):

$1 = \frac{1}{2}\cdot 4^{2} - \frac{3}{2}\cdot (4) + C$

$C = 1 - \frac{1}{2}\cdot 4^{2} + \frac{3}{2}\cdot (4)$

$C = -1$

The first derivative is $y' = \frac{1}{2}\cdot x^{2}- \frac{3}{2}\cdot x - 1$ , and the particular solution is found by integrating one more time and using the initial condition ( $f(0) = 0$ ):

$y = \int {\left(\frac{1}{2}\cdot x^{2}-\frac{3}{2}\cdot x -1 \right)} \, dx$

$y = \frac{1}{2}\int {x^{2}} \, dx - \frac{3}{2}\int {x} \, dx - \int \, dx$

$y = \frac{1}{6} \cdot x^{3} - \frac{3}{4}\cdot x^{2} - x + C$

$C = 0 - \frac{1}{6}\cdot 0^{3} + \frac{3}{4}\cdot 0^{2} + 0$

$C = 0$

Hence, the particular solution of the differential equation is $y = \frac{1}{6} \cdot x^{3} - \frac{3}{4}\cdot x^{2} - x$ .

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2 years ago

jaxon earned $90 at his job when he worked for 9 hours . what was his hourly pay rate in dollars per hour ?

user100 [1]

Answer:

$10 dollars

Step-by-step explanation:

10x9=90

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2 years ago

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The function f(x)=30+0.25x/x yields the average cost in dollars per cup of lemonade made by Lincoln at his lemonade stand when h

trapecia [35]

The answer is C: Lincoln uses 25 cents worth of supplies per cup.

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2 years ago

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A study conducted an experiment with 22,000 women over 10 years to investigate whether a high-stress job leads to heart problems

solniwko [45]

The sample of the group would be the 22,000 participants.

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2 years ago

What is the range of the data? 2,8,7,8,6,15,6,3,8

creativ13 [48]

Answer:

Step-by-step explanation:

The range of a data set is the difference between the greatest and least values in the set. In this case, the greatest value is 15 and the least value is 2 so the range is 15 - 2 = 13.

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2 years ago