75 cookies
Step-by-step explanation:
500 × 0.25(3/4 cookies sold)= 125
125 - 0.4(2/5 gave to her friends) = 75
75 cookies remain
Given:
To find:
The rate of change in volume at 
Solution:
We know that, volume of a cone is
Differentiate with respect to t.
![\dfrac{dV}{dt}=\dfrac{1}{3}\pi\times \left[(r^2\dfrac{dh}{dt}) + h(2r\dfrac{dr}{dt})\right]](https://tex.z-dn.net/?f=%5Cdfrac%7BdV%7D%7Bdt%7D%3D%5Cdfrac%7B1%7D%7B3%7D%5Cpi%5Ctimes%20%5Cleft%5B%28r%5E2%5Cdfrac%7Bdh%7D%7Bdt%7D%29%20%2B%20h%282r%5Cdfrac%7Bdr%7D%7Bdt%7D%29%5Cright%5D)
Substitute the given values.
![\dfrac{dV}{dt}=\dfrac{1}{3}\times \dfrac{22}{7}\times \left[(120)^2(-2.1) +175(2)(120)(1.4)\right]](https://tex.z-dn.net/?f=%5Cdfrac%7BdV%7D%7Bdt%7D%3D%5Cdfrac%7B1%7D%7B3%7D%5Ctimes%20%5Cdfrac%7B22%7D%7B7%7D%5Ctimes%20%5Cleft%5B%28120%29%5E2%28-2.1%29%20%2B175%282%29%28120%29%281.4%29%5Cright%5D)
![\dfrac{dV}{dt}=\dfrac{22}{21}\times \left[-30240+58800\right]](https://tex.z-dn.net/?f=%5Cdfrac%7BdV%7D%7Bdt%7D%3D%5Cdfrac%7B22%7D%7B21%7D%5Ctimes%20%5Cleft%5B-30240%2B58800%5Cright%5D)
Therefore, the volume of decreased by 29920 cubic inches per second.
Answer:
Y-intercept: (0,4)
X-intercept: (8,0)
Step-by-step explanation:
equation of the line:
(4,2) (-2,5)
5-2/-2-4
3/-6
-1/2
m = -1/2
point slope form:
y-2=-1/2(x-4)
simplify:
y-2=-1/2x+2
y=-1/2x+4
Y-intercept: (0,4)
X-intercept: (8,0)
Answer:
csc A = 13/5
Step-by-step explanation:
The sine of Angle A is opp/hyp, or 5/13.
The cosecant of Angle A is the inverse of this, or 13/5.
Answer:
the commutative property because you’re not changing the way its form style, but of more like their former
