Answer:
42 minutes.
Step-by-step explanation:
We know that:
y = 0.2*x
is the equation that that defines the distance, in miles, that the boat travels in x minutes.
We know that the dolphins are at 8.4 miles from the boat.
Then when we have y = 8.4, this will mean that the boat reached the dolphins.
Then we need to solve the equation:
y = 8.4 = 0.2*x
for x
To do that, we just need to isolate x in one side of the equation, so we can just divide both sides by 0.2 to get:
8.4/0.2 = (0.2*x)/0.2
42 = x
And x is time in minutes, thus, the boat needs to travel for 42 minutes to reach the dolphins.
Answer:switch mikes Luke’s and Alex in between each other and let winter keep her own
Step-by-step explanation:
Answer:
82 in^3
Step-by-step explanation:
3 x 2 x 7 + 2 x 2 x 10 = 82 in^3
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
Step-by-step explanation:
12x + 3(x - 4) + 2x
17x-12
HOPE IT HELPS U
