<span>Carly needs to deposit $350 into the savings account per month over the next 3 years to be able to pay for her first year of college</span>
Answer:
the rate of change in volume is dV/dt = 4π mm³/s = 12.56 mm³/s
Step-by-step explanation:
since the volume V of a cylinder is related with the height H and the radius R through:
V = πR²*H
then the change in time is given by the derivative with respect to time t
dV/dt = (∂V/∂R)*(dR/dt) + (∂V/∂H)*(dH/dt)
the change in volume with radius at constant height is
(∂V/∂R) = 2*πR*H
the change in volume with height at constant radius is
(∂V/∂H) = πR²
then
dV/dt = 2π*R*H *(dR/dt) + πR²*(dH/dt)
replacing values
dV/dt = 2π* 2 mm * 20 mm * (-0.1 mm/s) + π (2 mm) ²* 3 mm/s = 4π mm³/s
dV/dt = 4π mm³/s = 12.56 mm³/s
Answer:
80 cm³
Step-by-step explanation:
Density = mass/volume
1.19 = 95.2/volume
Volume = 95.2/1.19
= 80
Answer:
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the length side KJ
In the right triangle JKM
Applying the Pythagoras Theorem
we have
substitute
simplify
step 2
Find the value of cosine of angle MJK in the right triangle JKM
substitute the values
simplify
-----> equation A
step 3
Find the value of cosine of angle MJK in the right triangle JKL
we have
----> remember equation A
substitute the values
Simplify
The slope intercept form for this line would be in the form of y=mx+b. The slope is m and the y-intercept is b.
y = (slope)x + (y-intercept)
y = 2x - 3
So, the answer is C.
Hope I could help! Have a good one!
