Answer:
Is there a picture to go off of?
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
The answer is B
2x+5y=3(1) times it by 1
-x+3y=-7(2) times it by 2
____________________
2x+5y=3
-2x+6y=-14
__________
11y=-11
Y=-1
Now we have to found x..... you have to plug in -1 in 2x+5y=3...
2x+5(-1)=3
2x-5=3
2x=3+5
2x=8
X=8/2
X=4
There are your 2 solutions... hope you understand
Answer:
D
Step-by-step explanation:
7.6/3.8 = 2
The dilation is by scale factor 2.
8/2 = 4
11/2=5.5
Calculate the volume.
Cross section × height
4 × 3.8 × 1/2 × 5.5 = 41.8
The volume of the smaller prism is 41.8 ft³.
5x + 3 - x - 2
4x + 1
the answer to the question is d