Answer:
40 minutes
Step-by-step explanation:
You can simply make 200/5 = 40 5 minute calls per month.
This works because every call is a 5-minute call. So then we just have to find how many times we can make a 5-minute call up to 200 minutes. We already have an operation for this: Division. This acts as the opposite of multiplication and speeds our process up.
Sine = opposite / adjacent.
since the opposite and adjacent lines are used, you need to use some to solve for x.
the answer is sine.
We have 10 ml of 20% acid to which we need to add "x" milliliters of 100% acid to make 50% acid.
.20 * 10 + 1.00x = .50 * (10 +x)
in which "x" is the volume of the 100% acid to be added.
2 + x = 5 + .5 x
.5x = 3
x = 6 milliliters
Source:
http://www.1728.org/mixture.htm
Scroll down to problem B
Answer: 5a + 36a + 12
Step-by-step explanation:
Answer:
(B) compress the graph closer to the x-axis
(E) translate the graph to the left
(F) translate the graph up
Step-by-step explanation:
When functions are transformed there are a few simple rules:
- Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).
- Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).
- Multiplying the function by a number less than 1 compresses it towards the x-axis.
- Multiplying the function by a number greater than 1 stretches it away from the x-axis.
This graph has been multiplied by 1/4 which is less than 1. It will be compressed.
This graph has x added to by 3. It will shift left 3 units.
This graph has the output outside of x added to by 6. It will shift 6 units up. See picture below. The original function is red. The new function is blue.