The first showing is from 2:30 to 4:55. The second showing is from 5:25 to ____. So, the first showing is 2 hours and 25 minutes. The second showing end time had to be around 7:50.
Magnitude of the car's acceleration is 3.5 m/s²
<u>Given:</u>
Mass of car = 1,000 kg
Net force applied by car = 3,500 N
<u>Find:</u>
Magnitude of the car's acceleration
<u>Computation: </u>
Net force = Mass × Acceleration
So,
3,500 = 1,000 × Acceleration
Acceleration = 3,500 / 1,000
Acceleration = 3.5 m/s²
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Answer:
The volume is increasing at a rate of 1508 cubic millimeters per second when the diameter is 60 mm.
Step-by-step explanation:
Volume of a sphere:
The volume of a sphere is given by the following equation:

In which r is the radius.
Implicit derivatives:
This question is solving by implicit derivatives. We derivate V and r, implicitly as function of t. So

The radius of a sphere is increasing at a rate of 4 mm/s.
This means that 
How fast is the volume increasing (in mm^3/s) when the diameter is 60 mm?
This is
when
. So



The volume is increasing at a rate of 1508 cubic millimeters per second when the diameter is 60 mm.
Answer:
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f(x) = x^2+3x-10
f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5
f(x+5) = (x^2+10x+25)+3(x+5)-10
f(x+5) = x^2+10x+25+3x+15-10
f(x+5) = x^2+13x+30
Compare this with x^2+kx+30 and we see that k = 13
Factor and solve the equation below
x^2+13x+30 = 0
(x+10)(x+3) = 0
x+10 = 0 or x+3 = 0
x = -10 or x = -3
The smallest zero is x = -10 as its the left-most value on a number line.