Answer:
60 inches
Step-by-step explanation:
26^2+54^2 = 3592
[sqrt]3592 = 59.9 --> 60inches
Answer
g(x) = e^ (x)^1/2
Derivate with respect to x
g'(x) = (1/2 -1)*x^(1/2 -1) * e^ (x)^1/2
g'(x) = (-1/2)*x^(-1/2) * e^ (x)^1/2
Answer:
it is in the form of- a, ar, ar^2,ar^3, etc
and a= 2
r= -4
Have a nice day!
First let's make the denominators of the fractions equal.
To do this, we have to find a number which both 5 and 7 divide into.
The smallest number that does this is 35.
2 --> Multiply the numerator by 7
--
5 --> Multiply the denominator by 7 to get 35
= 14/35
1 --> Multiply the numerator by 5
--
7 --> Multiply the denominator by 5 to get 35
= 5/35
Joe has eaten 14/35 and James has eaten 5/35.
14 / 5 = 2.8
<u>Joe has eaten 2.8 (or 2 4/5) times more pizza than James.</u>
Answer:
The given exponential functions f(x) and g(x) will be equal for the value of x as 4.1466.
Step-by-step explanation:
We need to give exponential function to the given constraints.
since f(x) is a decreasing function so
f(x) =
where
a = Initial value
r = rate at which function is decreasing
as we are given the values of a and r such as a = 800 and r = 12%
upon substituting these values in the equation we get
f(x) = ![800(1-0.12)^x](https://tex.z-dn.net/?f=800%281-0.12%29%5Ex)
= ![800(0.88)^x](https://tex.z-dn.net/?f=800%280.88%29%5Ex)
similarly we will do for g(x) but the only difference in f(x) and g(x) will be that f(x) in a decreasing exponential function whereas g(x) is an increasing function.
g(x) = ![a(1-r)^x](https://tex.z-dn.net/?f=a%281-r%29%5Ex)
where a is initial value and r is the rate at which the function is increasing so upon substituting these values we get.
g(x) =
= ![20(1.12)^x](https://tex.z-dn.net/?f=20%281.12%29%5Ex)
Now,
we need to find the value of x for which f(x) and g(x) will be equal.
so
![800 (0.88)^x = 20(1.12)^x](https://tex.z-dn.net/?f=800%20%280.88%29%5Ex%20%3D%2020%281.12%29%5Ex)
![40(0.88)^x = (1.12)^x](https://tex.z-dn.net/?f=40%280.88%29%5Ex%20%3D%20%281.12%29%5Ex)
x will be approximately 4.1466
Therefore the given exponential functions f(x) and g(x) will be equal for the value of x as 4.1466.