Answer: 66.
explanation: Ok so right triangle: 1 right angle or 90° and 2 acute angles (Less than 90°). We know that one of the angles are equal to 24° and the right angle is equal to 90° degrees. Now what? We add those 2 values together. 90 + 24 = 114. In the background, a triangle is equal to 180°. So now that we have our 2 core values together, we subtract. The reason why is because this is a missing value type equation. In these types, (usually indicated by the word find) we can subtract 2 values. Our 2 values is 114 and 180. When we subtract both, we get 66.
Answer:
6.27 x 10 ^ 8
Step-by-step explanation:
Answer:
The initial mass of the sample was 16 mg.
The mass after 5 weeks will be about 0.0372 mg.
Step-by-step explanation:
We can write an exponential function to model the situation.
Let the initial amount be A. The standard exponential function is given by:
Where r is the rate of growth/decay.
Since the half-life of Palladium-100 is four days, r = 1/2. We will also substitute t/4 for t to to represent one cycle every four days. Therefore:
After 12 days, a sample of Palladium-100 has been reduced to a mass of two milligrams.
Therefore, when x = 12, P(x) = 2. By substitution:
Solve for A. Simplify:
Simplify:
Thus, the initial mass of the sample was:
5 weeks is equivalent to 35 days. Therefore, we can find P(35):
About 0.0372 mg will be left of the original 16 mg sample after 5 weeks.
8/97 = 12/x.....8 oz to 97 mg = 12 oz to x mg
cross multiply
(8)(x) = (97)(12)
8x = 1164
x = 1164/8
x = 145.5 (or 145 1/2) mg
the answer is B. 1, 1/5, 11, 11/5
:)))