Answer:
the container is 1/4 full at 9:58 AM
Step-by-step explanation:
since the volume doubles every minute , the formula for calculating the volume V at any time t is
V(t)=V₀*2^-t , where t is in minutes back from 10 AM and V₀= container volume
thus for t=1 min (9:59 AM) the volume is V₁=V₀/2 (half of the initial one) , for t=2 (9:58 AM) is V₂=V₁/2=V₀/4 ...
therefore when the container is 1/4 full the volume is V=V₀/4 , thus replacing in the equation we obtain
V=V₀*2^-t
V₀/4 = V₀*2^-t
1/4 = 2^-t
appling logarithms
ln (1/4) = -t* ln 2
t = - ln (1/4)/ln 2 = ln 4 /ln 2 = 2*ln 2 / ln 2 = 2
thus t=2 min before 10 AM → 9:58 AM
therefore the container is 1/4 full at 9:58 AM
Sry I don’t know try Socratic
Answer:
x + y=24
x=24-y = 3x+5y=100
3(24-y)+5y=100
72-3y+5y=100
72+2y=100
2y=28
y=14, since x=24-y
x=10
So there are 10 3-point questions and 14 5-point questions.
Answer:
x = 0
Step-by-step explanation:
For this problem, we will simply solve the equation by isolating the variable x, to find the value of x.
2(-6x - 4) + 3 = 3(3x - 3) + 4
2*(-6x) + 2*(-4) + 3 = 3*(3x) + 3*(-3) + 4
-12x + -8 + 3 = 9x + -9 + 4
-12x + -5 = 9x + -5
12x + -12x + -5 = 12x + 9x + -5
-5 = 21x + -5
5 + -5 = 21x + -5 + 5
0 = 21x
0 = x
Hence, in this equation, the value of x is 0.
Cheers.
