Answer:
Step-by-step explanation:
Inverse variation is written as
which, in words, says "y varies inversely with x". If cavities varies inversely with time brushing, then
We are given the initial condition for which we need to solve for k:
c = 4 when t = 30:
so
k = 120.
Now we will use that value of k to solve the problem of how many cavities, c, would she have if she brushed her teeth 120 seconds, t, each night:
(the 120 on top is the k value and the 120 on the bottom is the number of seconds she brushed) to get
c = 1
Add 170,000 and 180,000 together then divide by 2. The number is 175000.
Question number one is <span>B. Multiplication Property of Equality</span>
Answer:
B. A(r(t)) = 25πt²
Step-by-step explanation:
Find the completed question below
The radius of a circular pond is increasing at a constant rate, which can be modeled by the function r(t) = 5t where t is time in months. The area of the pond is modeled by the function A(r) = πr². The area of the pond with respect to time can be modeled by the composition . Which function represents the area with respect to time? A. B. C. D.
Given
A(t) = πr²
r(t) = 5t
We are to evaluate the composite expression A(r(t))
A(r(t)) = A(5t)
To get A(5t), we will replace r in A(t) with 5t and simplify as shown
A(5t) = π(5t)²
A(5t) = π(25t²)
A(5t) = 25πt²
A(r(t)) = 25πt²
Hence the composite expression A(r(t)) is 25πt²
Option B is correct.
Answer:
in order of greatest to least
1) 4/5
2) 2/3
3) 2/5
:)
Step-by-step explanation:
