Answer:
g = 61.
Step-by-step explanation:
g + 9 = 70 Subtract 9 from both sides of the equation:
g + 9 - 9 = 70 - 9
g = 61.
Answer:
simplified 
Step-by-step explanation:
To turn a mixed number into a fraction :
3 x 4 =12 +2 =14 that will be your numerator (top number on a fraction)
and 4 will be your demoninator (bottom number)
Answer:
A
Step-by-step explanation:
The relevant rules of exponents are ...
(a^b)^c = a^(bc)
a^-b = 1/a^b
__
Answer:
B, C, F
Step-by-step explanation:
3/4 is 3 times 1/4, so the number of walls Dan can paint is 3 times the number of cans Dan uses.
A. 1/2 can will paint 3/2 walls, not 2.
B. 1 can will paint 3 walls — true
C. 5/3 cans will paint 5 walls — true
D. 2 cans will paint 6 walls, not 8.
E. 5/2 cans will paint 15/2 = 7 1/2 walls, not 10.
F. 11/3 cans will paint 11 walls — true
The correct question is:
Suppose x = c1e^(-t) + c2e^(3t) a solution to x''- 2x - 3x = 0 by substituting it into the differential equation. (Enter the terms in the order given. Enter c1 as c1 and c2 as c2.)
Answer:
x = c1e^(-t) + c2e^(3t)
is a solution to the differential equation
x''- 2x' - 3x = 0
Step-by-step explanation:
We need to verify that
x = c1e^(-t) + c2e^(3t)
is a solution to the differential equation
x''- 2x' - 3x = 0
We differentiate
x = c1e^(-t) + c2e^(3t)
twice in succession, and substitute the values of x, x', and x'' into the differential equation
x''- 2x' - 3x = 0
and see if it is satisfied.
Let us do that.
x = c1e^(-t) + c2e^(3t)
x' = -c1e^(-t) + 3c2e^(3t)
x'' = c1e^(-t) + 9c2e^(3t)
Now,
x''- 2x' - 3x = [c1e^(-t) + 9c2e^(3t)] - 2[-c1e^(-t) + 3c2e^(3t)] - 3[c1e^(-t) + c2e^(3t)]
= (1 + 2 - 3)c1e^(-t) + (9 - 6 - 3)c2e^(3t)
= 0
Therefore, the differential equation is satisfied, and hence, x is a solution.
