Answer:
6(x+5)
Step-by-step explanation:
Answer:
Volume=21.195 cubic inch
Step-by-step explanation:
The volume of a cylinder varies jointly with its height and the square of the radius is expressed as
V∝hr^2
Introducing our constant of proportionality,K we have that
V =Khr^2
Given that A 7.85 cubic inch spice container is 2.5 inches tall and has a radius of 1 inch. We have that
V =Khr^2
7.85=K 2.5 X 1^2
K=7.85/2.5 x1
K=3.14
Given that another spice container is 3 inches tall with a radius of 1.5 inches, Volume=?
V =Khr^2
V=3.14 X 3 X 1.5^2
V=21.195 cubic inch
You can solve for the velocity and position functions by integrating using the fundamental theorem of calculus:
<em>a(t)</em> = 40 ft/s²
<em>v(t)</em> = <em>v </em>(0) + ∫₀ᵗ <em>a(u)</em> d<em>u</em>
<em>v(t)</em> = -20 ft/s + ∫₀ᵗ (40 ft/s²) d<em>u</em>
<em>v(t)</em> = -20 ft/s + (40 ft/s²) <em>t</em>
<em />
<em>s(t)</em> = <em>s </em>(0) + ∫₀ᵗ <em>v(u)</em> d<em>u</em>
<em>s(t)</em> = 10 ft + ∫₀ᵗ (-20 ft/s + (40 ft/s²) <em>u</em> ) d<em>u</em>
<em>s(t)</em> = 10 ft + (-20 ft/s) <em>t</em> + 1/2 (40 ft/s²) <em>t</em> ²
<em>s(t)</em> = 10 ft - (20 ft/s) <em>t</em> + (20 ft/s²) <em>t</em> ²
Answer:
Step-by-step explanation:
is an arithmetic progression with ratio=4
a1=5
a2=a1+4=5+4=9
a3=a2+4=9+4=13
...............
a n+1 = a n+4
Answer:
C
Step-by-step explanation:
In a parallelogram, consecutive angles are supplementary, sum to 180° , so
3y + 108 = 180 ( subtract 108 from both sides )
3y = 72 ( divide both sides by 3 )
y = 24 → C
