Answer:
Step-by-step explanation:
we are asked to evaluate
÷
Above we are given mixed fraction which can be converted in proper fraction using formula given below
Hence
Also
Hence
÷
can be written as
÷ 
Also we know the rule for dividing fraction is as given below
÷ 
= 
Hence
÷ = 
=
=
Answer:
Step-by-step explanation:
Domain is the independent variable (x)
Range is the dependent variable (y)
For each of these you would just put what x and y are equal to
For the Domain you would put:
0<=x<=3
<= is less than or equal to
For the Range you would put
1<=y<=4
The line is a function
Well they give you the equation and they want you to solve for time given that you know the amount of water in the tank. They tell you T=274 and that
T=450-8m so using the value T=274 in the equation to the left gives you:
274=450-8m subtract 450 from both sides
-176=-8m divide both sides by -8
22=m
So 22 minutes have passed when there is 274L remaining...
10
A composite number is a positive integer. which is not prime (i.e., which has factors other than 1 and itself). The first few composite numbers (sometimes called "composites" for short) are 4, 6, 8, 9, 10, 12, 14, 15, 16, ... (OEIS A002808), whose prime decompositions are summarized in the following table.
You are trying to find the side between the right angle and the degree (This is known as the adjacent)
You are given degree 42
You also given the longest side of 19 (This is known as the hypothenuse)
Cosine: adjacent/hypothenuse
Cos42 = x/19
0.7431448255 = x/19
x = 19 * 0.7431448255
x = 14.11975168, round to tenth
Solution: x = 14.1
