The jump from 2 cm to 6 cm is "times 3". This is the linear scale factor.
We cube the linear scale factor value to get the volume scale factor.
The volume scale factor is 3^3 = 27, meaning that the larger egg's volume is 27 times greater compared to the smaller egg's volume
larger volume = 27*(smaller volume)
Assuming the two eggs have the same density, this would mean that the larger mass is 27 times that of the smaller mass
larger mass = 27*(smaller mass)
larger mass = 27*(4 grams)
larger mass = 108 grams
Answer: With $17.50 you can buy 7 packs of grape tomatoes.
Step-by-step explanation: For this question you can find the answer by taking 52.50 ÷ 21 which is 2.5 so that packs are $2.50 a pack and then you can either plug in numbers or take 17.50 ÷ 2.5.
Hope this helps.
Answer:
<em>The correct option is: B. 9</em>
Step-by-step explanation:
The number of tennis balls,
, in
layers of the square pyramid is given by: ![P(n)=P(n-1)+n^2](https://tex.z-dn.net/?f=P%28n%29%3DP%28n-1%29%2Bn%5E2)
As the stack of the tennis balls is in shape of a square pyramid, that means <u>in the top layer, there will be one ball</u>. So, ![P(1)= 1](https://tex.z-dn.net/?f=P%281%29%3D%201)
Now, if
then ![P(2)= P(2-1)+(2)^2 = P(1)+4=1+4=5](https://tex.z-dn.net/?f=P%282%29%3D%20P%282-1%29%2B%282%29%5E2%20%3D%20P%281%29%2B4%3D1%2B4%3D5)
If
then ![P(3)=P(3-1)+(3)^2=P(2)+9=5+9=14](https://tex.z-dn.net/?f=P%283%29%3DP%283-1%29%2B%283%29%5E2%3DP%282%29%2B9%3D5%2B9%3D14)
If
then ![P(4)=P(4-1)+(4)^2 = P(3)+16=14+16=30](https://tex.z-dn.net/?f=P%284%29%3DP%284-1%29%2B%284%29%5E2%20%3D%20P%283%29%2B16%3D14%2B16%3D30)
That means, the number of tennis balls from the top layer will be: 1, 5, 14, 30, .......
So, the number of tennis balls that Coach Kunal could not have is 9.