Let log2 (1/64) = x. Then,
2^x = 1/64
2^x = 1/(2^6)
2^x = 2^(-6)
So,
x = -6
log2 (1/64) = -6 <----- this is the answer.
I hope this helps. =)
Answer:
Tree C was the tallest when planted.
Step-by-step explanation:
If you look at the graph you'll see that the height at 0 months is 10 inches.
For this case we define the following variable:
- <em>x: number of stamps
</em>
We now write the equation that models the problem:
From here, we clear the value of x.
We have then:
Answer:
The number of stamps he has is:
Answer:
Pumping gas into take with greater rate of change.
Step-by-step explanation:
Rate of change is equal to change in number of gallons per minutes.
Here we have two case
Case 1: Filling swimming pool with 100 gallons of water in 15 minutes.
So, we find how many gallons fill in 1 minutes.
Case 2: Pumping 12 gallons of gas into tank in 3 minutes.
So, we find how many gallons fill in 1 minutes.
Rate of case 2 is greater than case 1.
Thus, Pumping gas into tank with greater rate of change.
First, we'll set up two equations. One for the amount of each coin and another for the value of the coins.
N will represent nickels
D will represent dimes
N + D = 30
---The problem tells us that there are 30 total coins
0.05N + 0.10D = 2.95
---Nickels are worth 5 cents and dimes are worth 10 cents, and the total value of the coins is 2.95
Now that we have our equations, we need to solve for one of the variables in the first equation. I will solve for N.
N + D = 30
N = 30 - D
Then, we take that equation and substitute our new value for N into the second equation (value) and solve for D.
0.05(30 - D) + 0.10D = 2.95
1.5 - 0.05D + 0.10D = 2.95
1.5 + 0.05D = 2.95
0.05D = 1.45
D = 29
Now that we know how many dimes there are, we can plug that value into our equation for N and solve for N.
N = 30 - D
N = 30 - 29
N = 1
Therefore, there are 29 dimes and 1 nickel.
Hope this helps!
