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ehidna [41]
4 years ago
15

4th term of (4x-y)^9

Mathematics
1 answer:
Neko [114]4 years ago
3 0
Now, let's do the same as we did for the previous one here.

\bf (4x-y)^9\implies 
\begin{array}{llll}
term&coefficient&value\\
-----&-----&-----\\
1&+1&(4x)^9(-y)^0\\
2&+9&(4x)^8(-y)^1\\
3&+36&(4x)^7(-y)^2\\
4&+84&(4x)^6(-y)^3
\end{array}

notice again, how did we get 84 for the 4th element's coefficient? well 36 * 7 / 3.  and so on.  And you can just expand it from there.
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If you spin the spinner once, determine the probability and the likelihood of spinning with colors red, orange, blue or green, r
svetlana [45]

Answer:

Step-by-step explanation: There are 12 colours on a spinner,

Probability of red,orange, blue or green = 1/12×4 =4/12

=1/3

Probability of red,blue, orange or green= 1/12×4=1/3

Probability of not red= 1-1/12

=11/12

4 0
3 years ago
Find the simple interest earned in a savings account that pays 5% interest if $500 is deposited for 4 years. A. $100, B. $1000,
g100num [7]
To calculate simple interest, you first need to multiply the original amount by the percentage of the money which is going to be added.

In this situation, 500 x 0.05 is the interest which will be added each year.
Therefore, $25 will be added each year. Since it is over 4 years, it is (25*4).
So the account will have earned $100 of simple interest.

Although the account will contain $600, it will have EARNED $100 of interest since it started with $500 already.

Answer - A $100 of simple interest will be earned.
3 0
4 years ago
£150 is divided between Malachy, Paul & Brian so that Malachy gets twice as much as Paul, and Paul gets three times as much
Dmitry_Shevchenko [17]

Answer:

£90

Step-by-step explanation:

Let M = Malachy's share

and P = Paul's share

and B = Brian's share.

We have three conditions:

                                              (1)               M = 2P

                                               (2)                P = 3B

                                               (3)   M + P + B = 150

Solve for B:

Substitute (2) into (3)             (4) M + 3B + B = 150

                                               (5)       M + 4B = 150

Substitute (2) into (1)                                  M = 2(3B)

                                               (6)                M = 6B

Substitute (6) into (5)                6B + 3B + B = 1 50

                                               (7)                B = 15

Solve for P:

Substitute (7) into (2)                                  P = 3×15

                                               (8)                P = 45

Solve for M:

Substitute (8) into (1)                                  M = 2×45

                                                                   M = 90

Malachy gets £90.

3 0
4 years ago
Which equation represents the polar form of x2 + (y + 4)2 = 16?
True [87]

Answer:

r = -8sin(theta)

Step-by-step explanation:

used desmos

6 0
3 years ago
Read 2 more answers
If 9 oz make 10 servings how many oz do I need to make 13 servings
Luden [163]
9/10 = x/13. Solve for x. X = 11.7.
Your answer would be 11.7oz. Hope this helps
4 0
3 years ago
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