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xeze [42]
3 years ago
10

Area of rectangular figures​

Mathematics
1 answer:
iren2701 [21]3 years ago
3 0

Answer:

531 in^2

Step-by-step explanation:

21 x 18 = 378 in^2

17 x 9 = 153 in^2

378 + 153 = 531 in^2

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The coefficient of x^ky^n-k in the expansion of (x+y)^n equals (nk). True or false.
AVprozaik [17]

Answer:

The correct option is;

False

Step-by-step explanation:

The coefficient of x^k·y^(n-k) is nk,   False

The kth coefficient of the binomial expansion, (x + y)ⁿ is  \dbinom{n}{k} = \dfrac{n!}{k!\cdot (n-k)!} = C(n,k)

Where;

k = r - 1

r = The term in the series

For an example the expansion of (x + y)⁵, we have;

(x + y)⁵ = x⁵ + 5·x⁴·y + 10·x³·y² + 10·x²·y³ + 5·x·y⁴ + y⁵

The third term, (k = 3) coefficient is 10 while n×k = 3×5 = 15

Therefore, the coefficient of x^k·y^(n-k) for the expansion  (x + y)ⁿ = C(n,k) not nk

7 0
3 years ago
Show that 12n cannot end with the digit 0 or 5 for any natural number​
Mrac [35]

Answer:

Step-by-step explanation:

It can end with a 0.

For example 12 * 5 = 60.

6 0
2 years ago
Arrange your bookshelf with equal books In each row for a stack of 49 books.Decide if 49 is a prime number or a composite number
Yuri [45]
49 is composite because it has factors other than itself and 1, 7 and 7, namely. So you could have one row of 49 books, 49 rows of one book or 7 rows of 7 books.
3 0
3 years ago
two times a number added to another number 25. Three times the first number minus the other number ids 20. Find the numbers
fomenos
Let x be the first number and y be the second.

2x + y = 25
3x - y =20

1) Add them together.

5x = 45
x = 9

2) Solve for y.

2(9) + y = 25
y=7

3) Check your work on the other equation.

3(9) - (7) = 20
27 - 7 =20
20 = 20
6 0
3 years ago
Calculate the average for this list of numbers: 2000.56    709.90    3.45    67.34    550.90
Neko [114]
Add them all up then divide by 5, so it should be 666.43
4 0
4 years ago
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