Answer:
It's Option'A' i.e 20m=75
Step-by-step explanation:
or,m=75/20
or,m=3.75
Answer: the second column is 12, then 15, then 6
Step-by-step explanation:
that is some good chocolate milk
Answer:
y = 1/2x + 7
Step-by-step explanation:
Parallel lines have the same slope.
Therefore the new equation will have a slope(m) = 1/2
Substitute m = 1/2 and point (-2, 6) into y = mx + b to solve for "b"
y = mx + b
6 = 1/2(-2) + b
6 = -1 + b
7 = b
The new equation: y = mx + b
y = 1/2x + 7
Answer:
The diameter decreases at a rate of 0.143cm/min when it is of 10 cm.
Step-by-step explanation:
Surface area of an snowball:
An snowball has spherical format. The surface area of an sphere is given by:
![S = d^2\pi](https://tex.z-dn.net/?f=S%20%3D%20d%5E2%5Cpi)
In which d is the diameter of the sphere.
In this question:
We need to differentiate S implicitly in function of time. So
![\frac{dS}{dt} = 2d\pi\frac{dd}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7BdS%7D%7Bdt%7D%20%3D%202d%5Cpi%5Cfrac%7Bdd%7D%7Bdt%7D)
Surface area decreases at a rate of 9 cm2/min
This means that ![\frac{dS}{dt} = -9](https://tex.z-dn.net/?f=%5Cfrac%7BdS%7D%7Bdt%7D%20%3D%20-9)
At which the diameter decreases when the diameter is 10 cm?
This is
when
. So
![\frac{dS}{dt} = 2d\pi\frac{dd}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7BdS%7D%7Bdt%7D%20%3D%202d%5Cpi%5Cfrac%7Bdd%7D%7Bdt%7D)
![-9 = 2(10)\pi\frac{dd}{dt}](https://tex.z-dn.net/?f=-9%20%3D%202%2810%29%5Cpi%5Cfrac%7Bdd%7D%7Bdt%7D)
![\frac{dd}{dt} = -\frac{9}{20\pi}](https://tex.z-dn.net/?f=%5Cfrac%7Bdd%7D%7Bdt%7D%20%3D%20-%5Cfrac%7B9%7D%7B20%5Cpi%7D)
![\frac{dd}{dt} = -0.143](https://tex.z-dn.net/?f=%5Cfrac%7Bdd%7D%7Bdt%7D%20%3D%20-0.143)
Area in cm², so diameter in cm.
The diameter decreases at a rate of 0.143cm/min when it is of 10 cm.