one of the byproducts of nuclear power generation is uranium-233. uranium is decaying at a constant 57% rate per day. if 3,820 pounds are produced from a power plant, what will the amount be in 15 days?

a.) 19,737,001.91
b.) 19,737,001
c.) 0.739

C) 0.739

Step-by-step explanation:

We have been given Uranium-233 is decaying at a constant 57% rate per day. There were 3,820 pounds of Uranium-233 produced from a power plant.

To find the amount of uranium left after 15 days we will use continuous exponential decay function.  

, where,

a = Initial amount,

e = Mathematical constant,

k = A number representing decay rate in decimal form.

t = Time.

Let us convert our given rate in decimal form.

Upon substituting our given values in above formula we will get,

Therefore, the amount of Uranium-233 after 15 days will be 0.739 pounds and option C is the correct choice.

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

step-by-step explanation: