It is given that the weight of the barbel is given by:

It says that there are eight pair of weights so x can take values from 0 to 8 and f(x) can take the values as follows:

So the range is:

Option B is correct.
Answer:
<h2><u><em>
125 gal</em></u></h2>
Step-by-step explanation:
in 10 minutes 50 gal is used
50 + 50 = 100
5 is half of 10
25 is half of 50
100 + 25 = 125
I'm not quite sure, but I believe that the answer is 48 cm^2.
Answer:
See Below.
Step-by-step explanation:
Problem 1)
We want to verify that:

Note that cot(x) = cos(x) / sin(x). Hence:

Multiply:

Recall that Pythagorean Identity: sin²(x) + cos²(x) = 1 or cos²(x) = 1 - sin²(x). Substitute:

Split:

Simplify:

Problem 2)
We want to verify that:

Square:

Convert csc(x) to 1 / sin(x) and cot(x) to cos(x) / sin(x). Thus:

Factor out the sin²(x) from the denominator:

Factor (perfect square trinomial):

Using the Pythagorean Identity, we know that sin²(x) = 1 - cos²(x). Hence:

Factor (difference of two squares):

Factor out a negative from the first factor in the denominator:

Cancel:

Distribute the negative into the numerator. Therefore:

2 kg is bigger because 1 kg=1000 g and so 1500 g would equal 1.5 kg which is smaller than 2 kg