Answer:
Below
Step-by-step explanation:
100 * 170/200
= 170/2
= 85%.
Answer:
t = 1.94 seconds
Step-by-step explanation:
we have to solve the following polynomial equation:
-16t² + 60 = 0
16t² = 60
t² = 60/16 = 3.75
t = √3.75 = 1.936491673 seconds
the equation also has another possible answer = -1.936491673 seconds, but since time cannot be negative, we have to dismiss that option
Answer:
lim(x---->0) = -5
Step-by-step explanation:
first: sin(x-π/2)= -cosx
so the equation will be :
lim(x---->0) = [-6cos(ax)-1}/cosx
solve :
lim(x---->0) = [-(6cos(a(0))-1}/cos(0)
cos0=1
lim(x---->0)=(-(6(1)-1)/1
lim(x---->0)=-6+1/1
lim(x---->0)=-5
Answer:

33 gallons of water to begin with.
Step-by-step explanation:
So we essentially are given two coordinates: (6,87) and (21,222). To find an equation, we simply need to find the slope and y-intercept. We know it's a linear equation because it's a steady stream, meaning a constant slope.
The slope is:

So, the rate at which the stream flows is 9 gallons per minute.
Now, let's find the initial amount of water. To do this, we can use point-slope form. Pick either of the two points. I'm going to use (6,87).

So, there were 33 gallons of water in the tank to begin with.