Answer:
=x
Step-by-step explanation:
10^2+21^2=x^2]
100+441=x^2
541=x^2
=x
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:
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Answer:
<h3>The best interpretation of this equation 4x=3x is that the equation has no solution</h3>
Step-by-step explanation:
Given that Kate begins solving the equation

<h3>To find the best interpretation of the given equation :</h3><h3>Katie's steps are</h3>
When she adds 2 to both sides, the equation becomes
Therefore 
<h3>Therefore the given equation has no solution </h3><h3>The best interpretation of this equation 4x=3x is that the equation has no solution.</h3><h3>Therefore the option no solution is correct</h3>
Answer:
9825
Step-by-step explanation:
Answer:
78.5 ft²
Step-by-step explanation:
In this situation, the dog's 5 ft leash is the radius of the circle that he forms.
So, the radius is 5.
Use the area formula, A =
r². Plug in 5 as r, and 3.14 as 
A =
r²
A = (3.14)(5²)
A = (3.14)(25)
A = 78.5
So, the area of the grass he can cover is 78.5 ft²