Answer:
100
Step-by-step explanation:
thanks
the answer is x is greater then -7
to find this add 4 to each side
then divide by -2.
since you divided both sides by a negative the symbol flips and you get x is greater then -7
Answer: x = 3
Step-by-step explanation:
x + 9 = 12
x = 12 - 9
x = 3
store number two gives a better discount .
if you go to store one and buy it for 573 with the 16% DISCOUNT, YOU GET 481.32, THEREFORE, STORE TWO IS BETTER(caps lock) also did store two have a discount?
Answer:
Dh/dt = 0.082 ft/min
Step-by-step explanation:
As a perpendicular cross section of the trough is in the shape of an isosceles triangle the trough has a circular cone shape wit base of 1 feet and height h = 2 feet.
The volume of a circular cone is:
V(c) = 1/3 * π*r²*h
Then differentiating on both sides of the equation we get:
DV(c)/dt = 1/3* π*r² * Dh/dt (1)
We know that DV(c) / dt is 1 ft³ / 5 min or 1/5 ft³/min
and we are were asked how fast is the water rising when the water is 1/2 foot deep. We need to know what is the value of r at that moment
By proportion we know
r/h ( at the top of the cone 0,5/ 2) is equal to r/0.5 when water is 1/2 foot deep
Then r/h = 0,5/2 = r/0.5
r = (0,5)*( 0.5) / 2 ⇒ r = 0,125 ft
Then in equation (1) we got
(1/5) / 1/3* π*r² = Dh/dt
Dh/dt = 1/ 5*0.01635
Dh/dt = 0.082 ft/min
