Answer:
x³ + 3x² + 3x + 2
Step-by-step explanation:
Given
(x + 2)(x² + x + 1)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x² + x + 1) + 2(x² + x + 1) ← distribute both parenthesis
= x³ + x² + x + 2x² + 2x + 2 ← collect like terms
= x³ + 3x² + 3x + 2
Answer:
Trigonometry, as the name might suggest, is all about triangles. More specifically, trigonometry is about right-angled triangles, where one of the internal angles is 90°. Trigonometry is a system that helps us to work out missing or unknown side lengths or angles in a triangle.
Step-by-step explanation:
Answer:
x = 12
Step-by-step explanation:
x+13=25
Subtract 13 from each side
x+13-13=25-13
x = 12
Answer:
170 min
Step-by-step explanation:
We know that there is a kinetics of the first order, which has the following equation:
ln ([A] t / [A] o) = -k * t
Solving for t:
t = - ln ([A] t / [A] o) / k
How we want to know is the time required with 10%, so [A] t / [A] o = 100% - 10%, that is, 90% = 0.9. We also know that k = 6.2 * (10 ^ -4)
Knowing this, we replace:
t = - ln (0.90) /6.2 * (10 ^ -4)
t = 170 min
Which means it will take 170 minutes.