Answer:
x = -1/2
Step-by-step explanation:
This question can be solved by applying the laws of indices
In a^n, a - base
n - index
Given
9^x = 1/3
According to the laws of indices, a/b = b^(-a)
Hence we can write, 1/3 = 3^(-1)
9^x = 3^(2x)
Again according to the laws of indices,
a^b = a^n can be written as;
b = n
That is, if in an equation the bases are the same, the indices are also equal.
So we can write,
3^(2x) = 3^(-1)
2x = -1
Divide both sides of the equation by 2, the coefficient of x
2x/2 = -1/2
x = -1/2
Least to greatest: 5 10/11 , 5.822 , 5.84, 117/20.
Law of cosines:
b^2 = a^2+c^2 -2*a*c*cos(B)
b^2 = 400^2 + 240^2 - 2*400*240*cos(16)
b^2 = 217600 - 184562.25
b^2 = 33037.75
b = sqrt(33037.75)
b = 181.76 = 181.8 yds.
The answer is D.
The changing rate of the amount of water in the watering can is a constant rate of 0.15 gallon per minute.
The initial volume of water in the can at time = 0 is 5 gallons
The function will be a linear function in the form of
where
is the volume of water in the can after
minutes
is the changing rate
is the initial volume when time is 0
Substitute all the values into the form we have