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ludmilkaskok [199]
3 years ago
12

A bakery has 72 half gallons of milk. It takes 1 2/3 cups of milk to make the cake. Note that 1 cup= 1/8 half gallon= 0.125 half

gallon. How many cakes can the bakery make? A. 43 cakesB. 288 cakesC. 345 cakesD. 576 cakes
Mathematics
1 answer:
kondaur [170]3 years ago
8 0
I believe its B. 288 cakes
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Given f(x)=cos c and g(x)=cot x, what are the domain and range of f(g(x))?
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Answer:

Option C

Step-by-step explanation:

We know that the function y = cos(x) has as its domain all real numbers, and as a range -1\leq y\leq 1

 We know that the function cot(x) = \frac{cos(x)}{sin(x)}

The denominator of the function can not be equal to 0. But sin(x) = 0 for all x = n\pi where n is an integer number.

Therefore the domain of cot(x) are all real numbers except x = n\pi

The range of cot(x) are all real numbers

Then, the domain of f(g(x)) is:

x ∈ Domain g and g(x) ∈ Domain of f

Where:

Domain of g: All reals except x = n\pi

Domain of f: All reals.

This is:

Domain of f(g(x)):

All real numbers except n\pi

Range of f(g(x)):

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Therefore the correct option is:

C. Domain: All real numbers x except x does not equal npi for all integers n; Range: -1 is less than or equal to and is less than or equal to 1.

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Step-by-step explanation:

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