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3 years ago

Y varies inversely as x, if y = -3 when x = -6, find y when x = 14.

Mathematics

1 answer:

lara [203]3 years ago

8 0

Answer:

y is equal to 7 when x is equal to 14.

Step-by-step explanation:

-6 divided by -3 is equal to 2. This means x divided by y is equal to 2.

x / y = 2

14 / 7 = 2

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Thaddeus models the number of hours of daylight in his town as

AfilCa [17]

Option (A) : least: 10 hours; greatest: 14 hours

The function f(x) = sin x has all real numbers in its domain, but its range is

−1 ≤ sin x ≤ 1.

How to solve such range questions?

Such questions in which every term is in addition and its range is asked is simplest ones to solve if we know the range of each of term. This can be seen from this question

Given: d(t) = 2sin(xt) + 12

= −1 ≤ sin (xt) ≤ 1.

= −2≤ 2 sin (xt) ≤ 2.

= 10 ≤ 2sin (xt) + 12 ≤ 14

= 10 ≤d(t) ≤ 14

Thus least: 10 hours; greatest: 14 hours

Learn more about range of trigonometric ratios here :

brainly.com/question/14304883

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2 years ago

Charlotte has appointed a chairperson to lead a city beautification project. The first act is to install statues and fountains i

miskamm [114]

Answer:

Net Income of $6,800,000

Increase in Accounts Payable of $200,000

Decrease in Accounts Receivable of $800,000

Depreciation of $1,600,000

Increase in Inventory of $300,000

Other Adjustments from Operating Activities of $400,000

Assuming no other cash flow adjustments than those listed above, create a statement of cash flows with amounts in thousands....

Step-by-step explanation:

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8 0

3 years ago

The length of the midsegment of a triangle is always half the length of the side it is parallel to true or false

Vladimir [108]

True. The midsegment of a triangle is halfway up the triangle, and since the top half and the full triangle are similar triangles, its dimensions are proportional.

This means half the height will give half the base (midsegment). So the midsegment is always half the length of the side it's parallel to.

3 0

3 years ago

The local library had a sale to get rid of the books that were slightly damaged it’s on paper back books for two dollars and har

kondor19780726 [428]

Answer:

The Local Library sold <u>31</u> hardcover books.

Step-by-step explanation:

Let number of paper back books be 'x'.

Let number of hardcover books be 'y'.

Given:

Total number of books sold = 89

Now Total number of books sold is equal to sum of number of paper back books and number of hardcover books.

framing in equation form we get;

$x+y=89 \ \ \ \ \ equation \ 1$

Now Given:

Cost of each paper back books = $2

Cost of each hardcover books = $5

Total Amount raised by library = $271

Now We know that Total Amount raised by library is equal to Cost of each paper back books multiplied by number of paper back books plus Cost of each hardcover books multiplied number of hardcover books.

framing in equation form we get;

$2x+5y=271 \ \ \ \ equation \ 2$