By definition, the volume of a sphere is given by:
V = (4/3) * (pi) * (r ^ 3)
where,
r: radius of the sphere.
Substituting we have:
V = (4/3) * (pi) * ((3) ^ 3) = 113.08 in ^ 3
answer
the best estimate for the volume of air in the balloon in cubic inches is
C. 113.1
Answer:
The value of the bond when Tyler's mom purchased it was $150
Step-by-step explanation:
we know that
In this problem we have a exponential function of the form
where
a is the initial value (y-intercept)
b is the base
r is the rate
b=(1+r)
In this problem
r=4%=4/100=0.04
b=1+0.04=1.04
substitute
where
x is the number of years since the savings bond was purchased
f(x) is the value of the savings bond
For x=1
f(x)=$156
substitute
Solve for a
therefore
The value of the bond when Tyler's mom purchased it was $150
Yes, I can solve that inequality.
Any value of ' r ' that's less than 1/3 is a solution.
Answer:
The function of height has a maximum value.
Step-by-step explanation:
Maximum or Minimum:
A given function f(x).
- Find out f'(x) and f''(x)
- Then set f'(x)=0 which gives x=a.
- f''(a) > 0 , then at x=a , f(x) has minimum value.
- If f''(a)<0 , then at x=a, f(x) has maximum value.
Given that, a baseball is thrown with with an velocity of 32 feet per second.
The equation of height is
Differentiating with respect to t
Again differentiating with respect to t
Next, we set h'=0
Now
Since at t=1, h''<0.
The function of height has a maximum value.
The maximum of h is = -16.(1)²+32
= -16+32
=16 feet