Step-by-step explanation:
option C
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1 hour=3600 seconds
1 mile=5280 feet
87 miles/hr (1 hr/3600 sec)(5280 ft/mile)=127.6 feet/sec
Distance= Rate*time
d=127.6(12)=1531.2 feet (after 12 seconds)
2 x (n - 6)
(2 x n - 2 x 6)
(2n - 2 x 6)
2n - 12
Answer:
the handle will end up on the left side
Step-by-step explanation:
The cup is rotated 180 degrees clockwise. Therefore, I assume the rotation is about the center of the bottom of the cup. Also, only the cup is rotated, not the saucer (although this makes no difference in this problem).
The result is that the handle will end up on the left side. The cup will still be right side up.
x⁸ + 48x⁷ + 1008x⁶ + 12096x⁵ + 90720x⁴ + 435456x³ + 1306368x² + 2239488x + 1679616
<u>Explanation:</u>
We know
(x+y)ⁿ = ∑ ⁿCₐxⁿ⁻ᵃyᵃ
and ⁿCₐ = n! / ( a! ) . ( n-a )!
So,
(x+6)⁸ = ⁸C₀x⁸ + ⁸C₁(x)⁸⁻¹(6)¹ + ⁸C₂(x)⁸⁻²(6)² + ⁸C₃(x)⁸⁻³(6)³ + .......+ ⁸C₈(x)⁸⁻⁸(6)⁸
= ₓ⁸ + 8x⁷ₓ 6 + 28x⁶ₓ 36 + 56x⁵ₓ 216 + 70x⁴ₓ 1296 + 56x³ₓ 7776 + 28x²ₓ 46656 + 8x . 279936 + 1679616
= x⁸ + 48x⁷ + 1008x⁶ + 12096x⁵ + 90720x⁴ + 435456x³ + 1306368x² + 2239488x + 1679616
Thus, the expansion of ( x+6)⁸ using binomial theorm is
x⁸ + 48x⁷ + 1008x⁶ + 12096x⁵ + 90720x⁴ + 435456x³ + 1306368x² + 2239488x + 1679616
