By definition, the number 
is the ratio between the circumference and the diameter:
This implies that
And so your circumference is 
Answer:
<em>In the second group the individual members received a larger fraction of the prize money</em>
Step-by-step explanation:
<u>Division by Sharing</u>
A certain amount M can be evenly split among n parties by performing a division M/n.
The first group of six friends earned $45 and they split it evenly, i.e. the same amount goes to each member. Each of them received $45/6= $7.50 apiece.
The second group of four friends won the second-place prize of $35 and they split it evenly also. Each member received $35/4=$8.75.
By comparing both numbers, we see that 8.75 is a bigger fraction of 35 that 7.50 is of 45. Each member from the second-place price will receive more money than the first group.
We can conclude in the second group the individual members received a larger fraction of the prize money
Answer:
2x(7x - 3)(7x +3)
Step-by-step explanation:
Find common factors between the 2 numbers:
98x^3 - 18x
2x(49x^2 - 9)
now find what numbers multiplied together is 49, and find what numbers added together equals 0 and the product is 3, 7 times 7 is 49 and 3(-3) = 9 while 3 - 3 = 0 so:
2x(7x - 3)(7x +3)
Answer:
0.41
Step-by-step explanation:
0.82 = 0.2 x 0.41
0.82 / 0.2
= ( 0.2 x 0.41 ) / 0.2
= 0.41
Answer:
The value is 
Step-by-step explanation:
From the question we are told that
The weight of the bucket is 
The depth of the well is 
The weight of the water is 
The rate at which the bucket with water is pulled is 
The rate of the leak is 
Generally the workdone is mathematically represented as
]
Here G(x) is a function defining the weight of the system (water and bucket ) and it is mathematically represented as
Here I is the rate of water loss in lb/ft mathematically represented as
=> 
=> 
So
=> 
So
]
=> ![W = [47x - \frac{0.1x^2}{2} ]|\left 60} \atop {0}} \right.](https://tex.z-dn.net/?f=W%20%3D%20%20%5B47x%20-%20%5Cfrac%7B0.1x%5E2%7D%7B2%7D%20%5D%7C%5Cleft%2060%7D%20%5Catop%20%7B0%7D%7D%20%5Cright.)
=> ![W= [47(60) - 0.05(60)^2]](https://tex.z-dn.net/?f=W%3D%20%5B47%2860%29%20-%200.05%2860%29%5E2%5D)
=>
