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.
The value of b^2-4ac is known as the discriminant of a quadratic function, and can tell you how many roots exist of this function depending on what it is equal to.
Start by moving the -1 to the other side, as we need this function to equal zero.
2x^2 + 3x + 1 = 0
This is now the standard form ax^2 + bx + c = 0. Plug each value that corresponds into the discriminant equation.
b^2-4ac
(3)^2 - 4(2)(1)
9 - 8
1
The value of the discriminant is 1, meaning that two real roots exist for the function described.
Answer:
The answer is B)
Step-by-step explanation:
Use the Distance Formula
d = sqr(1 + 3)^2 + (0 - 4)^2
d = sqrt(32)
d = 4*sqrt(2)
Answer:
51,750
Step-by-step explanation:
45,000x.03=1,350
1,350x5=6750
45,000+6750=51,750
