Answer: 6x + 6
Step-by-step explanation:x = the number 5x + (x + 6) {five times the number added to the sum of the number and six} = 5x + x + 6 {took out parentheses}
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.
9514 1404 393
Answer:
3.08 hours
Step-by-step explanation:
We assume you're interested in the time in hours.
It will take 3.08 hours to travel 175 miles at that speed.
Answer:
The total amount she will pay after taxes is $339.58
Step-by-step explanation:
The Total cost of the speaker plus tax = $349
The tax rate applied = 2.7%
Tax payable = $349 * 2.7% = $9.423
The tax amount on the speaker is Tricia = $9.423
Thus, the total amount she will pay after taxes (i.e. paying $9.423) for purchase of the Speaker will be = $349 - $9.423 = $339.58.
The original price of the speaker excluding tax is $339.58.
