Answer:
A.) r = 2t
B.) V = 33.5t^3
Explanation:
Given that a spherical balloon is being inflated and the radius of the balloon is increasing at a rate of 2 cm/s
A) Express the radius (r) of the balloon as a function of the time (t).
Since the rate = 2 cm/s that is,
Rate = radius/ time
Therefore,
2 = r/t
Make r the subject of formula
r = 2t
(B) If V is the volume of the balloon as a function of the radius, find V or and interpret it.
Let assume that the balloon is spherical. Volume of a sphere is;
V = 4/3πr^3
Substitute r = 2t into the formula
V = 4/3π(2t)^3
V = 4/3π × 8t^3
V = 32/3 × πt^3
V = 33.5t^3
True because the kind of light we get is white light and everything we see is actually every colour except the color we are seeing because that is wwhat is reflected
Answer:
1
2
The distance is
Explanation:
From the question we are told that
The maximum speed of the cheetah is
The maximum of gazelle is
The distance ahead is
Let denote the time which the cheetah catches the gazelle
Gnerally the equation representing the distance the cheetah needs to move in order to catch the gazelle is
=>
=>
=>
Now at t = 7.5 s
=>
=>
=>
Hence the for the gazelle to escape the cheetah it must be 55.2 m
Answer:
Explanation:
Time can be found by dividing the distance by the speed.
The distance is 45 meters and the speed is 12.5 meters per second.
Divide. Note that the meters, or "m" will cancel each other out.
It will take the dolphin 3.6 seconds to swim a distance of 45 meters are 12.5 meters per second.
Answer:
The value is
Explanation:
From the question we are told that
The relationship between the number of whooping cranes and the number of decades is
The exponential relationship is
Now from the given equation we have that
So comparing this equation obtained an the given exponential relationship we have that