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Elena-2011 [213]

4 years ago

7

Jodie bought some shirt for $6. Marge bought soñé shirts por $8 each. The girls spent the same amount of money on shirt. What is

the least amount they could have spent?

1 answer:

qwelly [4]4 years ago

7 0

Hi!

6 × 8 = 48

The least amount they could've spent is $48. =)

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What is 5x × 12y - 8xy

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52xy is the answear. Hope it helps

Step-by-step explanation:

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A complex shape with measurements 10 feet, 4 feet, 7 feet, 5 feet, 3 feet, 9 feet.

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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

I need help , help me find the answer to number four please

lakkis [162]

I believe it is H I hope this helps !!!!

4 0

3 years ago

Reese went cycling in the morning .The ratio of her distance in miles to the length of time in minutes was 15:60 tease concluded

rodikova [14]

Answer:

No, she is not correct as her speed is 0.25 miles per minute.

Step-by-step explanation:

Given:

Ratio of distance to time taken is 15 : 60.

Distance is in miles and length of time is in minutes.

We know that, average speed is given as the ratio of the distance traveled and the length of the time taken.

So, the ratio above is nothing but the average speed of Reese for cycling.

Thus, average speed of Reese is given as:

$\textrm{Average speed}=\frac{Distance}{Time}\\\\\textrm{Average speed}=\frac{15}{60}\ miles\ per\ min\\\\\textrm{Average speed}=\frac{1}{4} = 0.25\ miles\ per\ min$

Therefore, the average speed of Reese is 0.25 miles per minute which is not equal to the one mentioned by Reese as 4 miles per minute.

So, Reese conclusion of her average speed is incorrect. It's not 4 but the reciprocal of 4 which is 0.25 miles per minute.

7 0

4 years ago