What is the value of the expression (81 1/4) ^4
1 answer:
You might be interested in
Answer:
3, 50, 2
Step-by-step explanation:
By multiplying all terms by 5, we are trying to remove the fraction on the left hand side. On the right hand side of the equation, expand the bracket by multiplying 5 to each term in the bracket.
3(n +25)= 5(10) +5()
3(n +25)= 50 +2n
To find the value of n, expand the bracket on the left hand side:
3(n) +3(25)= 50 +2n
3n +75= 50 +2n
Bring all n terms to one side, constants to the other:
3n -2n= 50 -75
n= -25
For part (a) the answer is 400 grams for part (b) 198.63 grams and for part (c) 20 years.
<h3>What is exponential decay?</h3>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:
a) Plug t = 0
m(0) = 400 grams
b) plug t = 20 years
After solving:
m(20) = 198.63 grams
c) Plug m(t) = m(0)/2 = 400/2 = 200 grams
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:
#SPJ1