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2 years ago

Please help! Brainliest to correct.

Mathematics

1 answer:

Margarita [4]2 years ago

7 0

Answer:

We are given the following in the question:

where P(x) in millions is the number of U.S. travelers from 1990 through 2009 and x = 1 represents 1991.

We have to approximate the number of U.S. travelers to other countries in each given year.

(a) 1990

We put x = 0 in the given function.

Thus, there are 48.09 millions U.S. travelers in 1990.

(b) 2000

We put x = 10 in the given function.

Thus, there are 56.888 millions U.S. travelers in 2000.

We put x = 19 in the given function.

Thus, there are 31.085 millions U.S. travelers in 2009.

Step-by-step explanation:

Hope this helps:) plz mark as brainliest I really need it:)

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3 years ago

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A car rental cost 30 a day plus 0.65 per mile after the first 100 miles you are traveling 215 miles in 3 days how much will your

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Answer: His total rental cost will be $164.75.

Step-by-step explanation:

Since we have given that

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Cost of per mile after the first 100 miles = $0.65

According to question, he was travelling 215 miles in 3 days.

So, it becomes,

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2 years ago

What is the greatest integer n that satisfies 100^2 - n^2 = n^2 - 100^2

Anika [276]

Answer:

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Step-by-step explanation:

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2 years ago

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For what positive values of k does the function y=sin(kt) satisfy the differential equation y''+144y=0 ?

lina2011 [118]

Answer:

The positive value of k that the function y = sin(kt) satisfies the differential equation y'' + 144y = 0 is +12

Step-by-step explanation:

To determine the positive values of k that the function y = sin(kt) satisfy the differential equation y''+144y=0.

First, we will determine y''.

From y = sin(kt)

y' = $\frac{d}{dt}(y)$

y' = $\frac{d}{dt}(sin(kt))\\$

y' = kcos(kt)

Now for y''

y'' = $\frac{d}{dt}(y')$

y'' = $\frac{d}{dt}(kcos(kt))$

y'' = $-k^{2}sin(kt)$

Hence, the equation y'' + 144y = becomes

$-k^{2}sin(kt)$ + $144(sin(kt))$ $= 0$

$(144 - k^{2})(sin(kt)) = 0$

$(144 - k^{2})= 0$

∴ $k^{2} = 144\\$

$k =$ ± $\sqrt{144}\\$

$k =$ ± $12$

∴ $k = +12$ or $-12$

Hence, the positive value of k that the function y = sin(kt) satisfies the differential equation y'' + 144y = 0 is +12

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