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3 years ago

Simplify

Mathematics

1 answer:

Dmitriy789 [7]3 years ago

6 0

1. 18
2. 44
3. 3
4. 21
5. 8

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If a square has an area of 225 square feet what is the length of each side

sdas [7]

The area of the square: $A=a^2$

where "a" is a length of side.

Therefore:
$A=225\ ft^2\ and\ A=a^2\Rightarrow a^2=225\Rightarrow a=\sqrt{225}\Rightarrow \boxed{a=15\ (ft)}$

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3 years ago

If i had the equation -3y=-2x+8 would i divide the 8 by -3 too?

UNO [17]

Not only you're gonna divide 8 by -3 for some reason, but you also divide all terms by -3. For instance,
(-3y = -2x + 8) / -3
(-3/-3)y = (-2/-3)x + 8/-3
y = (2/3)x - 8/3

Hope this helps.

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4 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:

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

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3 years ago

Given: 5x - 6y = 0, What is the x-intercept?

horrorfan [7]

A, x-intercept is when y=0, so in this case when y=0, the equation becomes 5x=0. Therefore, x must equal 0 for 5x=0. so y=0 and x=0 so the answer it (0,0), which is A.

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3 years ago

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Write an Algebraic expression for each verbal expression

enyata [817]

Answer:

Step-by-step explanation:

1. One-fourth the cube of x: (1/4)x³

2. The ratio between m and <em>(incomplete question)</em>

3. The product of w and <em>(incomplete question)</em>

4. Six more than two times a number : 2n + 6

5. Three times the quantity eight plus x: 3(8 + x)

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3 years ago