Tenth term of 4n-3thank you
2 answers:
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Step-by-step explanation:
We have
First, 125 is a perfect cube because
and
x^3 is a perfect cube because
so we can use the difference of cubes identity
Let say we have two perfect cubes:
64 because 8×8×8=64
and 27 because 3×3×3=27 and let subtract
we know that
but using the difference of cubes identity we should get the same thing.
Remeber cube root of 64 is 4 and cube root of 27 is 3 so we have
So the difference of cubes works for real numbers. This is a good way to help remeber the identity using real numbers.
Back on to the topic,
we know that 5 is cube root of 125 and x is the cube root of x^3 so we have
Answer:
Each inhalation has 750 micrograms of metaproterenol sulfate.
Step-by-step explanation:
First step: How many miligrams are there in each inhalation.This can be solved by a rule of three problem.
In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.
When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.
When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.
In this step, our measures are:
- The number of inhalations.
- The quantity inhaled.
As the number of inhalations increases, so does the quantity inhaled. This means that this is a direct rule of problem.
300 inhalations contains 225mg of metaproterenol sulfate. How many miligrams are in a inhalation?
300 inhalations - 225mg
1 inhalation - xmg
300x = 225
x = 0.75mg
Each inhalation has 0.75mg of metaproterenol sulfate.
Final step: Conversion of 0.75mg to micrograms.
Each mg has 1000 micrograms. So:
1mg - 1000 micrograms
0.75mg - x micrograms
x = 1000*0.75
x = 750 micrograms
Each inhalation has 750 micrograms of metaproterenol sulfate.