The term in the expansion:
T ( k+1) = n C k * A^(n-k) * B^k.
In this case: n = 11, k + 1 = 8, so k = 7.
A = x, B = - 3 y
T 8 = 11 C 7 * x^(11-7) * ( - 3 y )^7 =
=( 11 *10 * 9 * 8 * 7 * 6 * 5 ) / ( 7 * 6 * 5 * 4 * 3 * 2 * 1 )* x^4 * ( - 2,187 y^7 ) =
= 330 * ( - 2,187 ) x^4 y^7 = - 721,710 x^4 y^7
Answer: The 8th term in expansion is
Answer:15/17
Step-by-step explanation: cos = adjacent/hypotenuse
Answer & Step-by-step explanation:
It increased by 10 each year
Year 1 of 8: 70
Year 2 of 8: 80
Year 3 of 8: 90
Year 4 of 8: 100
Year 5 of 8: 110
Year 6 of 8: 120
Year 7 of 8: 130
Year 8 of 8 (Final Year): 140
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<u><em>Hope this helps!!! :)</em></u>
Answer:
9 = x (assuming 15 is the hypotenuse)
Step-by-step explanation:
15^2 = 12^2 + x^2
225 = 144 + x^2
subtract 144 from both sides
81 = x^2
square root both sides
9 = x
Answer:
1 / 8
Step-by-step explanation:
So there are 8 marbles in all.
The probability of getting a purple is 1 / 2
The probability of getting a green is 1 / 4
1 / 2 * 1 / 4 = 1 / 8
There is a 1 / 8 chance.