Answer:
The volume of paint that covers the whole car is 
gallons or one and a quarter gallons.
Step-by-step explanation:
Let the volume of paint required to cover whole car be 'x'.
Given:
Volume of paint to cover one-fifth of a car = one-fourth of a gallon.
We use unitary method to determine the volume of paint required.
∵ One-fifth of a car requires paint = 
∴ Whole volume of car requires paint = 
Therefore, the volume of paint that covers the whole car is gallons or one and a quarter gallons.
Given the position function <em>s(t)</em>, you can get the acceleration function by differentiating <em>s</em> twice:
velocity = <em>s'(t)</em> = -5 sin(<em>t </em>) + 3 cos(3<em>t</em> )
acceleration = <em>s''(t)</em> = -5 cos(<em>t</em> ) - 9 sin(3<em>t</em> )
Then when <em>t</em> = <em>π</em>, the particle's acceleration is
<em>s''(π)</em> = -5 cos(<em>π</em>) - 9 sin(3<em>π</em>)
… = -5 • (-1) - 9 • 0 = 5
The answer is 1,695.6 in³.
The volume of the empty space is the difference of the bigger cylinder and the smaller cylinder: V = V1 - V2
The volume of the bigger cylinder is:
V1 = π r² h
r = 10 in
h = 15 in
π = 3.14
V1 = 3.14 * 10² * 15 = 4,710 in³
The volume of the smaller cylinder is:
V2 = π r² h
r = 8 in
h = 15 in
π = 3.14
V2 = 3.14 * 8² * 15 = 3,014.4 in³
The volume of the empty space is:
V = V1 - V2 = 4,710 in³ - 3,014.4 in³ = 1,695.6 in³
The distribution lies within one of the standard of deviation of the mean so <span>68% </span>
The distribution lies within two of the standard of deviations of the mean so 95%
The distribution lies within three of the standard of deviations of the mean so 99.7%
Answer:
180,000 m
Step-by-step explanation:
There are 60 seconds in a minute, so:
2 min × 60 s/min = 120 s
Distance = rate × time
d = 1500 m/s × 120 s
d = 180,000 m
