Answer:
x^2\ 16 - y^2/9 = 1
step-by-step explanation:
soooo the equation for a hyperbola that is horizontal is x^2/a^2 - y^2/b^2 = 1
a hyperbola should always equal one so dont forget that when writing your equation becuase it is easy to forget.
it helps to graph this so you can see it better
to find a it is the distance from the center to the vertices which is 4 so in the equation you will write 16 becuase it is a^2
then you need to find b. to get b you have to figure out that c is the distance from the center to the foci which is 5 and it is all related to the plythagorm theorum becuase it forms a right triangle. so you do c^2 - a^2 = b^2
you get 9 for b^2 because 25-16=9 and so you put that in the equation
Answer:
65 gallons per minute
Step-by-step explanation:
The total volume of the tank at any given time is given by the equation:
V(t) = 65t + 280
In order to find the rate of change of volume, we can simply differentiate this equation with respect to time. This will give us the rate of change of the volume or the rate at which water is being pumped into the tank.
Differentiating the above equation we get:
V'(t) = 65
So we can see that the rate at which water is being pumped into the tank is 65 gallons per minute
Answer:
Jamal ran the farthest.
Ming ran the least.
Step-by-step explanation:
We have to write the number of miles ran by each participant as decimal values, before finding who ran the most and the least.
Important to remember that a fraction is a division, so, for example, 2/3 is 2 divided by 3.
Jamal ran 2/3 mile.
2/3 = 0.667
So Jamal ran 0.667 miles
Ming ran 2/4 mile.
2/4 = 0.5
So Jamal ran 0.5 miles.
Liana ran 7/12 of mile
7/12 = 0.583
So Liana ran 0.583 miles
Who ran the farthest?
Jamal ran the highest amount of miles, so he ran the farthest.
Who ran the least?
Ming ran the least amount of miles, so he ran the least.
