The radioactive substance uranium-240 has a half-life of 14 hours. the amount at of a sample of uranium-240 remaining (in grams) after t hours is given by the following exponential function.
[tex]a(t) = 2800.(\frac{1}{2})^{\frac{t}{14}}[/ tex]
find the amount of the sample remaining after 9 hours and after 40 hours.
round your answers to the nearest gram as necessary.
amount after 9hours: grams
amount after 40 hours: grams

Amount after 9 hours: 1793 grams

Amount after 40 hours: 386 grams

Step-by-step explanation:

Given exponential function, that shows the amount of radioactive substance uranium-240 after t hours,

        ......(1)

Substitute t=9 in equation (1),

The amount of substance after 9 hours is,

≈ 1793 grams ( Using calculator )

Again, substitute t=40 in equation (1),

The amount of substance after 40 hours is,

≈ 386 grams.

hope this .

r3t40

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6