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3 years ago

6

Work out(3/4) -2 (1/-3) = (_/_)

1 answer:

Alenkinab [10]3 years ago

5 0

Answer:

3 1/12 as in the simplest form. And 37/12 as in improper fraction.

Step-by-step explanation:

(3/4) - 2 (1/-3)

= 3/4 + 2 1/3

= 9 / 12 + 2 4 / 12

= 2 13 / 12

= 2 + 1 1/12

= 3 1/12

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Rounding decimals 324,650

Cloud [144]

It depends how many decimal points you are moving. If it's 1 decimal point then the point would move to the right and the answer would be 3246.50if it was two decimal places then it moves two to the right and the answer would 32465.0. But you don't need to put the .0 at the end so it will be 32465

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3 years ago

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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:

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

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3 years ago

Whats the answer all of them explain how to find which is greather 1/4 of 12 or 1/3 of 12 explain your answer

katrin [286]

Answer:

1/3 of 12 would be greater than 1/4 of 12.

Step-by-step explanation:

One third (1/3) of twelve results in 4. (Multiply 12/1 by 1/3 and simplify.)

One fourth (1/4) of twelve results in 3. (Multiply 12/1 by 1/4 and simplify.)

4 > 3.

Therefore, 1/3 of 12 is greater then 1/4 of 12.

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4 years ago

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emmasim [6.3K]

Answer:

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Step-by-step explanation:

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3 years ago

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Solve each equation with the quadratic formula. (Show work please)

Snowcat [4.5K]

Answer:

Let b=x

Such that b^2 =8b-8 will x^2=8x-8

Using the almighty quadratic formula

x1={-b+sqrt (b^2-4ac)}/2a

x2={-b-sqrt (b^2-4ac)}/2a

From the question

a=1

b=8

c=-8

x1={-8+sqrt (8^2-4(-8))}/2

x1=(-8+5.66)/2

x1=-1.17

x2={-8-sqrt (8^2-4(-8))}/2

x2=(-8-5.66)/2

x2=-6.83

:.(x1,x2)=(-1.17,-6.83)

Step-by-step explanation:

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3 years ago