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3 years ago

4,523 ÷ 3 help me please

Mathematics

1 answer:

Savatey [412]3 years ago

6 0

Answer:

1507.666666666.....

Step-by-step explanation:

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35 inches by 50 inches

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3 years ago

According to data from a medical association, the rate of change in the number of hospital outpatient visits, in millions, in

GaryK [48]

Answer:

a) $f(t)=0.001155[\frac{2}{3}t(t-1980)^{3/2}-\frac{4}{15}(t-1980)^{5/2}]+264,034,000$

b) f(t=2015) = 264,034,317.7

Step-by-step explanation:

The rate of change in the number of hospital outpatient visits, in millions, is given by:

$f'(t)=0.001155t(t-1980)^{0.5}$

a) To find the function f(t) you integrate f(t):

$\int \frac{df(t)}{dt}dt=f(t)=\int [0.001155t(t-1980)^{0.5}]dt$

To solve the integral you use:

$\int udv=uv-\int vdu\\\\u=t\\\\du=dt\\\\dv=(t-1980)^{1/2}dt\\\\v=\frac{2}{3}(t-1980)^{3/2}$

Next, you replace in the integral:

$\int t(t-1980)^{1/2}=t(\frac{2}{3}(t-1980)^{3/2})- \frac{2}{3}\int(t-1980)^{3/2}dt\\\\= \frac{2}{3}t(t-1980)^{3/2}-\frac{4}{15}(t-1980)^{5/2}+C$

Then, the function f(t) is:

$f(t)=0.001155[\frac{2}{3}t(t-1980)^{3/2}-\frac{4}{15}(t-1980)^{5/2}]+C'$

The value of C' is deduced by the information of the exercise. For t=0 there were 264,034,000 outpatient visits.

Hence C' = 264,034,000

The function is:

$f(t)=0.001155[\frac{2}{3}t(t-1980)^{3/2}-\frac{4}{15}(t-1980)^{5/2}]+264,034,000$

b) For t = 2015 you have:

$f(t=2015)=0.001155[\frac{2}{3}(2015)(2015-1980)^{1/2}-\frac{4}{15}(2015-1980)^{5/2}]+264,034,000\\\\f(t=2015)=264,034,317.7$

3 0

3 years ago

Monica's Money

pentagon [3]

Answer: The y-intercept should be the $20. The equation would be y=10x+20. Not sure if that’s what you’re asking.

Step-by-step explanation:

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3 years ago

PLEASE ANSWER QUICK A team is ordering sweatshirts and sweatpants for its players. Each sweatshirt costs $25 and each pair of s

tankabanditka [31]

Answer:

25x+ 21y

You multiply x by sweatshirts and y by sweatpants

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3 years ago

4 5/6+3/5= my daughter is needing help she's in the 5th grade

V125BC [204]

Answer:5 13/30

Step-by-step explanation:

4+5/6 + 3/5

5/6 +3/5

Find LCD of 5/6 and 3/5

25/30 + 18/30

43/30= 1 13/30

4+1+13/30= 5 13/30

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3 years ago

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