Answer:
64
Step-by-step explanation:
Follow PEMDAS
4ab + y × a^3
4 (2) (3) + 5 × 2^3
4 (2) (3) + 5 × 8
24 + 5 × 8
24 + 40
64
Use Pythagorean theorem here.
Walkway is √40²+30² so 50
hey there!!
Given :
f ( x ) = l 2x - 4 l , find f ( - 7 )
We will have to substitute the value of -7 instead of x
f ( -7 ) = l -14 - 4 l
f ( -7 ) = l -18 l
As the value in a mod shall always be positive, the answer would become 18
Hence, the required answer is 18
Hope my answer helps!!
I have completed the 1st one and have attached it.
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.
