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3 years ago

HELP ME PLS!!! Find the y-intercept of the rational function.

Mathematics

1 answer:

amid [387]3 years ago

6 0

Answer:

-2,0

Step-by-step explanation:

the function intercepts the y axis there

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Tim Urban, owner/manager of Urban's Motor Court in Key West, is considering outsourcing the daily room cleanup for his motel

Setler [38]

Answer:

The crossover point for Time $h = 6545 \ room \ nights$

Step-by-step explanation:

From the question we are told that

The total rooms rented for the year is $z = 50 * 365 = 18250 \ rooms$

Time's fixed cost is r = $61,000

Time's variable cost is $y =$ $12.5 per room

Duffy's Maid Service fixed cost is $x =$ $25,000

Duffy's Maid Service variable cost is $k =$ $18.00 per room

The cross over point for Time is mathematically represented as

$h = \frac{r - x}{k- y}$

substituting values

$h = \frac{61000 - 25000}{ 18 - 12.5}$

$h = 6545 \ room \ nights$

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4 years ago

Mei-Ling is making a jewelry box that is shaped like the figure shown, with a slant height of 4 inches. She wants to cover the e

IrinaK [193]

Answer:

365 square inches

Step-by-step explanation:

oh sorry i didn't see your never mind note

5 0

4 years ago

Read 2 more answers

What expression is the opposite of (c - d)?

balu736 [363]

Answer:

(c+d)

Step-by-step explanation:

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3 years ago

Help me please!!! ASAP on have a few mins left to finish quiz!!!

sveta [45]

7 square root equals 14

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4 years ago

Given that sectheta = -37/12 what is the value of cottheta for pi/2 < theta< pi?

lys-0071 [83]

Answer:

$cotg(\theta) = -\frac{12}{35}$

Step-by-step explanation:

The cotangent of theta is:

$cotg(\theta) = \frac{\cos{\theta}}{\sin{\theta}}$

For pi/2 < theta< pi

This means that the angle is in the second quadrant. In the second quadrant, the cosine is negative and the sine is positive. This means that the cotangent will be negative.

Secant:

$sec(\theta) = \frac{1}{\cos{\theta}}$

In this question

$sec(\theta) = -\frac{37}{12}$

$-\frac{37}{12} = \frac{1}{\cos{\theta}}$

Using cross multiplication

$-37\cos{\theta} = 12$

$37\cos{\theta} = -12$

$\cos{\theta} = -\frac{12}{37}$

Now we apply the following trigonometric identity:

$\sin{\theta}^{2} + \cos{\theta}^{2} = 1$

$\sin{\theta}^{2} + (-\frac{12}{37})^{2} = 1$

$\sin{\theta}^{2} = 1 - (-\frac{12}{37})^{2}$

$\sin{\theta}^{2} = 1 - \frac{144}{1369}$

$\sin{\theta}^{2} = \frac{1369 - 144}{1369}$

$\sin{\theta} = \pm \sqrt{\frac{1225}{1369}}$

Since the angle is in the second quadrant, the sine is positive.

$\sin{\theta} = \frac{35}{37}$

Finally, the cotangent:

$cotg(\theta) = \frac{\cos{\theta}}{\sin{\theta}}$

$cotg(\theta) = \frac{-\frac{12}{37}}{\frac{35}{37}}$

$cotg(\theta) = -\frac{12}{35}$

4 0

4 years ago

Read 2 more answers