The function f(x) = 5(x)⁴, and f(x) = 5(4)ˣ represents the function that passes through the point (2, 80) option second and fourth are correct.
<h3>What is an exponential function?</h3>
It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent 
where a is a constant and a>1
We have; an exponential function that passes through the point (2, 80).
f(x) = 4(x)⁵
Plug (2, 80) in the abovew function:
f(2) = 4(2)⁵ = 128 (false)
f(x) = 5(x)⁴
Plug (2, 80) in the abovew function:
f(2) = 5(2)⁴ = 80 (true)
f(x) = 4(5)ˣ
f(2) = 4(5)² = 100 (false)
f(x) = 5(4)ˣ
f(2) = 5(4)² = 80 (true)
Thus, the function f(x) = 5(x)⁴, and f(x) = 5(4)ˣ represents the function that passes through the point (2, 80) option second and fourth are correct.
Learn more about the exponential function here:
brainly.com/question/11487261
#SPJ1
10 1/5 times 5/1 add the zero
Answer:
960 ounces in 1 day
(Sorry for a late response, I just logged on)
Step-by-step explanation:
Most of that information is negligable (not important) besides 8 ounces in 12 minutes.
so an hour is 60 minutes, if we multiply both parts of the problem by 5 we get
40 ounces in 1 hour
a day is 24 hours, so if we multiply both sides by 24 well get our answer
960 ounces a day
-- Gage Millar, Algebra 1/2 tutor
Answer:
6.5%
Step-by-step explanation:
The original price of the ticket was 100% of the price of the ticket.
The 15% coupe reduced the price to 85% of the price of the ticket.
The 10% fee on the discounted price adds 10% of 85% to 85%, so it adds 8.5% to 85%. By adding the fee he is at 93.5% of the original price.
100% - 93.5% = 6.5%
The overall percent off compared to the original price was 6.5%.
Answer: 6.5%
Answer:
It will take about 35.49 hours for the water to leak out of the barrel.
Step-by-step explanation:
Let 
be the depth of water in the barrel at time 
, where 
is measured in inches and in hours.
We know that water is leaking out of a large barrel at a rate proportional to the square root of the depth of the water at that time. We then have that
where 
is a constant of proportionality.
Separation of variables is a common method for solving differential equations. To solve the above differential equation you must:
Multiply by 
Multiply by 
Take integral
Integrate
Isolate
We know that the water level starts at 36, this means 
. We use this information to find the value of 
.
At t = 1, y = 34
So our formula for the depth of water in the barrel is
To find the time, , at which all the water leaks out of the barrel, we solve the equation
Thus, it will take about 35.49 hours for the water to leak out of the barrel.
