Answer:
False
Step-by-step explanation:
The given statement is:
The coefficient of x^ky^n-k in the expression of (x+y)^n equals (n-k/k)
This is a false statement
Reason:
When we do expansion of (x+y)^n by binomial theorem we get the following solution:
(x+y)^n = nCk x^k y^n-k
This shows that the coefficient of x^ky^n-k is nCk which is equivalent to n!/(n-k)! k!
Therefore it is a false statement....
3/8 is your answer, it is .375
4/7 would be a lil over .50
2/3 would be .66*
3/5 would be .60
sorry lol i love fractions hope this helped
Answer:
Troy ate 7 lollies.
Step-by-step explanation:
You start out by finding how many lollies Troy's two friends ate out of the 24 lollies. To find out how much Tane ate out of the 24 Jet Plane lollies you simply <u><em>divide 24 by the denominator</em></u> --> 24/3=8, <em><u>then you multiply your answer by the numerator</u></em> --> 8x1=8, so Tane ate 8 of the 24 lollies. Repeat this same process for Levi, and your answer should be 9.
Because Tane ate <u>8</u><u> out of the 24</u> lollies and Levi ate <u>9</u><u> out of the 24 lollies</u>, that indicates that <u>17</u><u> out of the 24 lollies</u> are gone (just add your results, 8+9=17). This leaves Troy with only 7 lollies (<em><u>subtract 17 from 24</u></em> to find out how many lollies are left, 24-17=7).
Answer:
36 objects
Step-by-step explanation:
You want the value of x when t=9, so you're solving ...
9 = 0.007x^2 +0.003x
9 = 0.007(x^2 + 3/7x)
From here, we observe that an approximation is probably sufficient.
9/0.007 = x(x +3/7) . . . . . the expression on the right is nearly x^2
x ≈ 3/√.007 ≈ 35.9 ≈ 36
We can check:
.007(36)(36 3/7) = 9.18
.007(35)(35 3/7) = 8.68
To keep the computer busy for 9 seconds, it needs to sort 36 objects.
