Answer:
t = -24*log(2/3)
Step-by-step explanation:
The expression is:
V = 22,500*10^(-t/12)
Replacing with V = 10,000 and isolating t, we get:
10,000 = 22,500*10^(-t/12)
10,000/22,500 = 10^(-t/12)
4/9 = 10^(-t/12)
(2/3)² = 10^(-t/12)
2*log(2/3) = -t/12
-12*2*log(2/3) = t
t = -24*log(2/3)
Answer:
x:x = 1 so it is a natural number
Step-by-step explanation:
it can be any negative number because: -x<9
and any number from 1 to 8
(x cannot be 0, because you cannot do 0/0 = 1)
The answer is going to be 0.1775
Answer:
?? = 900
Step-by-step explanation:
Solve algebraically
let x be ball and y be cube
x + y = 100
x - y = 80
xy = ??
We can solve by elimination. Eliminate one of the variables by adding OR subtracting the entire equations. I will add.
. x + y = 100
<u>+ x - y = 80</u> y + - y = y - y = 0; The variable is eliminated
. 2x = 180 Divide both sides by 2 to isolate x
. x = 90
Substitute x = 90 into one of the equations.
x + y = 100
90 + y = 100 Isolate y by subtracting 90 from both sides
y = 100 - 90
y = 10
Find xy = ?? by substituting y for 10 and x for 90.
xy = (90)(10) = 900
Therefore the value of ?? is 900.
