Answer:
Option C.
Step-by-step explanation:
we know that
The discriminant of a quadratic equation of the form is equal to
in this problem we have
so
substitute
Answer:
a.
b.
Step-by-step explanation:
I attach the diagram of the new water tank.
a. In order to find the volume of the tank in cubic feet, we will need to calculate the volume of a cylinder. We know that its base measures and its height is .
The volume ''V'' of a cylinder is :
Where '''' is the diameter of the base and '''' is the height of the cylinder.
If we replace all the data in the equation :
We found out that the volume of the tank in cubic feet is
b. We know that 1 cubic foot of water is equal to 7.5 gallons. To find the amount of gallons that the new tank can hold, we need to do an unit conversion.
This equivalence is given to us :
⇒ Using the equivalence ⇒
Finally, the new tank will hold of water.
Range is all positive real numbers
answer is D. last one
Answer:
125 meters
Step-by-step explanation:
Let distance = d and time is t
Using the variation;
d = k t^2
So let’s us get k
80 = k * 4*2
16k = 80
k = 80/16 = 5
So for 5 seconds, the distance would be;
d = 5 * 5^2
d = 125 meters
Answer:
8/9
Step-by-step explanation:
The equation to find a slope is y2-y1/x2-x1=m. (m is the slope)
174-166/173-164
8/9
So the slope is 8/9.