Answer:
The ramainder is equal -86
Step-by-step explanation:
Since the polynomial degree Q(x) is 1, the remainder of the division must be a number. Therefore we only need to calculate the value of polynomial for x = -2
One half is equal to 3/6.
One third is equal to 2/6.
After removing 600 litres from the tank, there is a decrease from 3/6 to 2/6
3/6-2/6=1/6
600 litres is 1/6 of the tank. Multiply by 6 to get the capacity of a full tank.
600*6=3600
The tank can hold 3600 litres.
Carl is incorrect. Dave ate a higher fraction of snack bars, by 0.2 snack bars.
Carl had .5 left of a snack bar.
Dave had .3 left of a snack bar.
Tony had .5 left of a snack bar.
Gary had .0 left of a snack bar.
Tryone had .7 left of a snack bar.
If we add the above snack bars, there is a total of two remaining snack bars, meaning they only ate 12 of 14 snack bars.
Thrirty-two million,five thousand,and eight.
Answer:
The base is decreasing at 2 cm/min.
Step-by-step explanation:
The area (A) of a triangle is given by:
(1)
Where:
b: is the base
h: is the altitude = 10 cm
If we take the derivative of equation (1) as a function of time we have:

We can find the base by solving equation (1) for b:

Now, having that dh/dt = 1 cm/min, dA/dt = 2 cm²/min we can find db/dt:

Therefore, the base is decreasing at 2 cm/min.
I hope it helps you!