The volume is 35 inches.
hope i helped
Answer:
25
Step-by-step explanation:
Since she predicts that 80% of the invited people come, she needs to invite a number greater than 20, so that 80% of that number is 20.
Let the number of invited people be x.
80% of x must be 20.
80% * x = 20
0.8x = 20
Divide both sides by 0.8
x = 25
Answer: She should invite 25 people.
Check: Let's find 20% of 25. If it is 20, then 25 is correct.
80% of 25 = 0.8 * 25 = 20
Since 80% of 25 is 20, the answer, 25, is correct.
Answer:
![y = 5(6) {}^{x}](https://tex.z-dn.net/?f=y%20%3D%205%286%29%20%7B%7D%5E%7Bx%7D%20)
Step-by-step explanation:
A exponential function is represented by
![y = ab {}^{x}](https://tex.z-dn.net/?f=y%20%3D%20ab%20%7B%7D%5E%7Bx%7D%20)
where a is the vertical stretch and b is the base and x is the nth
power of x
Since the first number corresponds with zero, that means our y intercept is the first number.
This means when x=0 , y=5 so let find the value of 5.
![5 = ab {}^{0}](https://tex.z-dn.net/?f=5%20%3D%20ab%20%7B%7D%5E%7B0%7D%20)
b to the 0th power equal 1 so
![5 = a \times 1](https://tex.z-dn.net/?f=5%20%3D%20a%20%5Ctimes%201)
![a = 5](https://tex.z-dn.net/?f=a%20%3D%205)
Our equation is for now
![y = 5b {}^{x}](https://tex.z-dn.net/?f=y%20%3D%205b%20%7B%7D%5E%7Bx%7D%20)
Now let plug in 1,30
![30 = 5b {}^{1}](https://tex.z-dn.net/?f=30%20%3D%205b%20%7B%7D%5E%7B1%7D%20)
Divide 5 by both sides
![6 = b {}^{1}](https://tex.z-dn.net/?f=6%20%3D%20b%20%7B%7D%5E%7B1%7D%20)
Anything to the 1st power is itself so b equal 6.
So our equation is
![y = 5(6) {}^{x}](https://tex.z-dn.net/?f=y%20%3D%205%286%29%20%7B%7D%5E%7Bx%7D%20)
The answer would be 56.
8/3x5
40,320/6x120
40,320/720
56
Hope this helped!