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Anna71 [15]
3 years ago
15

Karen works at Southern Technical College as a math teacher. She will be paid $900 for each credit hour she teaches. During the

course of her first year of teaching, she would teach a total of 50 credit hours. The college expects her to work a minimum of 170 days (any less and her salary would be reduced) and 8 hours each day.
What is the minimum number of hours she is expected to work for the year?
Question 9 options:

A. 170
B. 50
C. 8,500
D. 1,360
Mathematics
1 answer:
Free_Kalibri [48]3 years ago
3 0

Answer:

Option D

1360

Step-by-step explanation:

The minimum stipulated number of days to work is given as 170 days and since each day one works for 8 hours then total hours per year on minimum side will be 170*8=1360 hours

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Given the coordinates for the function below, who of the following are coordinates for its inverse?
lapo4ka [179]

Answer:

If we have a function f(x) that has an inverse g(x), we have the relations:

f( g(x)) = x

g( f(x)) = x

Then if the coordinates for the function f(x) are points like (x₁, y₁)

The coordinates for the inverse, g(x), will be (y₁, x₁)

Now let's look at the table, here we can see that the coordinates for f(x) are:

(0, 650)

(100, 550)

(200, 450)

(340, 310)

(650, 0)

Then the coordinates of the inverse function will be:

(650, 0)

(550, 100)

(450, 200)

(340, 310)

(0, 650)

5 0
3 years ago
Ashley uses 1/2 cup of melted butter to spread equally on 12 slices of toast. How much melted butter is on each slice of toast?
Sholpan [36]

Answer: 1/24

Step-by-step explanation:

1/2 divided by 12

3 0
3 years ago
If we are given x such that 25^x-9^y=18 and 5^x-3^y=3, compute 5^x+3^y.
leonid [27]

25 = 5*5 and 9 = 3*3, which we can exploit to write

25^x-9^y=(5^2)^x-(3^2)^y=5^{2x}-3^{2y}=(5^x)^2-(3^y)^2

so that this expression is actually a difference of squares. We can factorize this to get

(5^x-3^y)(5^x+3^y)=18

and given that 5^x-3^y=3, we divide both sides by this to get

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7 0
3 years ago
Which inequality represents all values of x for which the product below is defined?
Vedmedyk [2.9K]

Step 1 ) Separate the 4 and x.

\displaystyle\sqrt{4x} * \sqrt{x+2}

↓

\displaystyle\sqrt{4} \sqrt{x} \sqrt{x+2}

Step 2 ) Simplify the square root of 4.

\displaystyle\sqrt{4} \sqrt{x} \sqrt{x+2}

↓

\displaystyle\ 2 \sqrt{x} \sqrt{x+2}

Step 3 ) Simplify.

\displaystyle\ 2 \sqrt{x} \sqrt{x+2}

↓

\displaystyle\ 2 \sqrt{x(x+2)}

This is now in its simplest form, so the final answer is...

\displaystyle\ 2 \sqrt{x(x+2)}

or it could be...

\displaystyle\ 2 \sqrt{x} \sqrt{x+2}

Either one is correct. Only difference is one is in simplest form and one isn't.

•

•

- Marlon Nunez

7 0
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The area of the shaded region would be 64m²
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