During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.

We have an equation for radioactive decay:

$\rm m(t) = 400e^{-0.035t}$

a) Plug t = 0

$\rm m(0) = 400e^{-0.035\times 0}$

m(0) = 400 grams

b) plug t = 20 years

$\rm m(20) = 400e^{-0.035\times 20}$

After solving:

m(20) = 198.63 grams

c) Plug m(t) = m(0)/2 = 400/2 = 200 grams

$\rm 200 = 400e^{-0.035t}$

x = 19.80 years ≈ 20 years

Thus, for part (a) the answer is 400 grams for part (b) 198.63 grams and for part (c) 20 years.

Learn more about the exponential decay here:

brainly.com/question/14355665

#SPJ1

3 0

2 years ago

1. Which of the following is true regarding the graph of y = 1/x ?

KATRIN_1 [288]

Answer:

b. There are horizontal and vertical asymptotes

Step-by-step explanation:

The graph is a hyperbola with asymptotes of x=0 and y=0

7 0

3 years ago

Please help meeeeeeeeeeeeeeeeeeeeeeeeeeee

Gala2k [10]

Answer:

With all or just 1

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Verify the identity: (1-sinx)/cosx = cosx/(1+sinx)

Tresset [83]

Cross multiply the expression so that we can get

(1+sinx)(1-sinx) = cos^2 x

1 - sin^2 x = cos^2 x

cos^2 x + sin^2 x = 1

since

cos^2 x + sin^2 x = 1

therefore

1 = 1

the two expressions are identical in a trigonometric sense

4 0

3 years ago