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1 year ago

Consider the intial value problem 2ty' = 4y, y(1) = -2.

Mathematics

1 answer:

Colt1911 [192]1 year ago

4 0

Answer:

y+-2t^2

Step-by-step explanation:

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Two workers finished a job in 12 days. How long would it take each worker to do the job by himself if one of the workers needs 1

Lorico [155]

Two workers finished a job in 7.5 days.

How long would it take each worker to do the job by himself if one of the workers needs 8 more days to finish the job than the other worker?

let t = time required by one worker to complete the job alone

then

(t+8) = time required by the other worker (shirker)

let the completed job = 1

A typical shared work equation

7.5%2Ft + 7.5%2F%28%28t%2B8%29%29 = 1

multiply by t(t+8), cancel the denominators, and you have

7.5(t+8) + 7.5t = t(t+8)

7.5t + 60 + 7.5t = t^2 + 8t

15t + 60 = t^2 + 8t

form a quadratic equation on the right

0 = t^2 + 8t - 15t - 60

t^2 - 7t - 60 = 0

Factor easily to

(t-12) (t+5) = 0

the positive solution is all we want here

t = 12 days, the first guy working alone

then

the shirker would struggle thru the job in 20 days.

8 0

2 years ago

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What to the tenth power can get you 300

OLEGan [10]

Answer:

1.7689 (rounded to 4 decimal places)

Step-by-step explanation:

Let the number we are seeking be "x", thus we can write the equation as:

$x^{10}=300$

Since we have raised "x" to the "10th power", to get "x" back again, we need to take 10th root. Same goes for right side, we take 10th root of 300. We will get our answer. The process shown below:

$x^{10}=300\\\sqrt[10]{x^{10}} =\sqrt[10]{300} \\x=\sqrt[10]{300} \\x=1.7689$

hence, 1.7689 raised to 10th power will give us 300

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3 years ago

A triangle has an area of 50cm its base is four times the height what is the height?

babunello [35]

So area=1/2 base times height
50=1/2 base times height
multiply both sides by 2
100=base times height
base=4height
100=4height times height
100=4height^2
divide 4
25=height^2
squarer root
5=height

subisute
base=4(5)
base=20

height=5

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3 years ago

Please help me !! ! !

Vesna [10]

Option a. option a has an answer of x=13, while the other problems have solutions of x=5.

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2 years ago

A business reports a net income of −$2,730−$2,730 over a 3-month period.

bearhunter [10]

The answer is C. $910, all you do is take the income and divide it by the number of months to find the average.

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3 years ago

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