What is the degree of this polynomial? 5/4y^3+5y^2+y+1
1 answer:
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Answer: Last option.
Step-by-step explanation:
For this exercise it is important to remember that a Right triangle is a triangle that has an angle that measures 90 degrees.
By definition, given a Right triangle, if you draw an altitutde from the vertex of the angle that measures 90 degrees (The right angle) to the hypotenuse, the measure of that altitude is the geometric mean between the measures of the two segments of the hypotenuse.
In this case, you have the Right triangle given in the picture attached.
You can notice that goes from the vertex of right angle (
) to the hypotenuse
. Therefore, it divides the hypotenuse into two segments. These are:
and
Therefore, is the geometric mean of the segments
and
.
Set up a proportion:
The numerator represents fluid ounces of milk, and the denominator represents milligrams of calcium.
Simplify the first fraction to make multiplication easier:
Cross multiply the fractions:
Divide both sides by 135 to get x by itself:
2.1 fluid ounces of milk provide 72.5 milligrams of calcium.
The numerator represents fluid ounces of milk, and the denominator represents milligrams of calcium.
Simplify the first fraction to make multiplication easier:
Cross multiply the fractions:
Divide both sides by 135 to get x by itself:
2.1 fluid ounces of milk provide 72.5 milligrams of calcium.
Answer:
∴35.97 mg caffeine would be left in the system after 5 hours.
Step-by-step explanation:
Given that,
A cup of coffee has approximately 310 mg of caffeine.
Caffeine decrease at a rate 35% per hour.
Exponential Function:
y(t)= Amount caffeine after t hours
= Initial amount of caffeine
r= rate of decrease
t = Time in hour.
Here y(t)=?, = 310 mg, r=35%=0.35, t= 5 hours
=35.97 mg
∴35.97 mg caffeine would be left in the system after 5 hours.