Answer:
Step-by-step explanation:
The base of a cone is simply a circle.
The formula for the area of a circle is A = πr^2.
Example: What is the area of the base of a cone, if the radius of the base is 5 cm?
Answer: A = π(5 cm)^2 = 25π cm^2
Answer:
This means that the correct initial value problem for the population p(t) as a function of time is is
Step-by-step explanation:
The population of a town increases at a rate proportional to its population:
This means that this situation is modeled by the following differential equation:
In which k is the growth rate.
By separation of variables, the solution is given by:
In which P(0) is the initial population.
Initial population of 1000.
This means that the correct initial value problem for the population p(t) as a function of time is is
Answer:
The ratio of zacharies nickels to dimes to quarters is <u>3 : 2 : 1</u>.
Step-by-step explanation:
Given:
Zachary has coins of the coins 3/6 are nickels, 2/6 dimes, rest are quarters.
Now, to get the ratio of zacharies nickels, to dimes to quarters.
So, as given dimes and nickels we find the quarters to get the ratio:
.
Thus, the quarters are 1/6.
Now, getting the ratio of the coins:
Nickels = 3/6 × 6 = 3
Dimes = 2/6 × 6 = 2
Quarters = 1/6 × 6 = 1
<em>Nickels : Dimes : Quarters = 3 : 2 : 1.</em>
Therefore, the ratio of zacharies nickels to dimes to quarters is 3 : 2 : 1.