Answer:
10(3)^x
Step-by-step explanation:
The function contains the points (2,90) and (4,810). Use the general form y=abx to write two equations:
90=ab^2 and 810=ab^4
Solve each equation for a:
a=90/b^2 and a=810/b^4
Since a=a, set the other sides of the equations equal and solve for b.
90/b2=810/b4
Cross multiply, then divide and simplify as follows:
90b^4=810b^2
b^4/b^2=810/90
b^2=90
b^3
Now, use the value of b and the point (2,90) to find the value of a.
90=a(3^2)
a=10
So, substitute answers in original equation for a final answer of f(x)=10(3)^x.
Answer:
There are 35 students in the class
Step-by-step explanation:
We would divide 21 by 60%
21/0.6 = 35 students.
The answer is 465 and you are welcome
Answer: 46 yds².
Step-by-step explanation:
Find the area of all surfaces & add them up:
(5 · 3) + (5 · 3) + (1 · 3) + (1 · 3) + (1 · 5) + (1 · 5) = 15 + 15 + 3 + 3 + 5 + 5
= 30 + 6 + 10 = 36 + 10 = 46 square
Answer:
Option A)
Step-by-step explanation:
We are given the following in the question:
V varies jointly as h and the fifth power of r.
Combing the two equations, we get,
Now, removing the sign of proportionality and adding the constant of proportionality, we get,
where k is the constant of proportionality.
Thus, the correct answer is
Option A)
