There are 104 cars in the parking lot.
According to statement there are between 90 and 115 cars on the lot.
So, {X| 90 < x < 115} (This renders an infinite solution set finite)
AND exactly one eight of them have a sticker on the back, so the total number of cars must be evenly divisible by eight.
X ∈ {96, 104, 112,}
AND exactly one fourth of the cars are green, so the number of cars must be evenly divisible by 4. Here all above written numbers are divisible by 4. So, find the mean to calculate the number of cars in the parking lot.
x = (96+104+112)/3
x = 104
There are 104 cars in the parking lot.
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Answer:the answer is y= 10x + 35
Step-by-step explanation:
Answer:
n= 7
Step-by-step explanation:
First subtract by 5, it gives you 0 subtract 2 more. You get -2, there for n=7
Answer:
25
Step-by-step explanation:
<em><u>Formula</u></em>
Generally the formula is written as Area = side * side which is
<em><u>Givens</u></em>
side = s = 5
<em><u>Solution</u></em>
Area = 5 * 5
Area = 25 square inches.
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.