The formula for the radius of a sphere is:
r(s) = sqrt[s/(4pi)]
This is based on the formula that s = 4pi*r^2
As can be seen, as the surface area increases, s/4pi increases, and sqrt(s/4pi) will also increase, meaning that the radius will increase. This continues until the balloon reaches the maximum s = 1500 cm^2.
The correct answer is the first choice:
<span>As the surface area of the balloon increases, the radius of the balloon increases until the maximum surface area is reached.</span>
You would divide the cheetahs distance which is 300 feet by the cheetahs time which is 2.92 seconds
distance÷time
300÷2.92= 102.7 seconds or 103 seconds if you round up
the cheetahs speed is 102.7 seconds or 103 seconds
Remember
(x^m)(x^n)=x^(m+n)
and difference of 2 perfect squres
(a²-b²)=(a-b)(a+b)
and sum or difference of 2 perfect cubes
so
(x^3)(x^3)(x^3)=x^(3+3+3)=x^9
so
x^9=3*3*x^3
x^9=9x^3
minus 9x^3 both sides
0=x^9-9x^3
factor
0=(x^3)(x^6-9)
factor difference of 2 perfect squraes
0=(x^3)(x^3-3)(x^3+3)
factor differnce or sum of 2 perfect cubes (force 3 into (∛3)³)
0=(x³)(x-∛3)(x²+x∛3+∛9)(x+∛3)(x²-x∛3+∛9)
set each to zero
x³=0
x=0
x-∛3=0
x=∛3
x²+x∛3+∛9=0 has no solution
x+∛3=0
x=-∛3
x²-x∛3+∛9=0 has no solution
so the solutions are
x=-∛3, 0, ∛3
Answer:
40/76 or 10/19 or 52.63% (they are all equivalent)
Step-by-step explanation:
there are 76 parking spaces in total
30 parking spaces have numbers that are less than 31 (1 - 30)
that means that there are 76 - 30 = 46 spaces that are numbered 31 or higher
so the probability that Jillian parks on a parking space with a number ≥ 31 is 40/76 or 10/19 or 52.63%
