Answer: 4
Step-by-step explanation:
( f o g ) (3) means f(g(3)) so...
First: plug 3 into g(x) = x^ (2-1)
3^ (2-1) is 3^1 = 3
Next: plug 3 into f(x)= 2^(x-1)
2^(3-1) is 2^(2) > 2×2 = 4
10 is 5% of 200
(Take 5% divided by 200 to find the answer)
There is a scientific law called the Law of Conservation of Mass, discovered by Antoine Lavoisier in 1785. In its most compact form, it states: matter is neither created nor destroyed. ... the total amount of mass and energy in the universe is constant.
Answer:
C and D
Step-by-step explanation:
I think it's C and D
You can't be certain that the coefficient of s is 3.
The entire thing is not a sum because there's fractions in the equation.
Hey there! I'm happy to help!
Let's represent our number of quarters with q and our dimes with d. We know that each q has a value of 0.25, and each d has a value of 0.1. This means that 0.25q+0.1d=1.85. We also know that q+d=11 as there are 11 total coins.
Here is our system of equations.
0.25q+0.1d=1.85
q+d=11
We are asked to solve with elimination. To do this, we need combine the equations to cancel out a variable to solve for the other. We have 1d on the bottom. Let's multiply the entire top equation by -10 to get a -1d on the top so we can do this.
-2.5q-d=-18.5
q+d=11
We combine the equations.
-1.5q=-7.5
We divide both sides by -1.5
q=5
Since there are 11 coins in total, this means that there are 5 quarters and 6 dimes.
Have a wonderful day!
