Answer:
Step-by-step explanation:
Carlos operates a helicopter. Carlos decides to measure the rotational velocity of the helicopter blades. What would be an appro
1 answer:
Answer:
The correct option is C.
Step-by-step explanation:
Given that Carlos operates a helicopter. Carlos decides to measure the rotational velocity of the helicopter blades. we have to find the appropriate unit for Carlos's purpose.
The angular velocity ω is the rate of change of angle with respect to time,
The formula to find the rotational velocity is
Angle measure in radians or degrees and time in second.
Hence, the appropriate unit for Carlos's purpose is degrees per second.
The correct option is C.
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Answer:
To prove that 3·4ⁿ + 51 is divisible by 3 and 9, we have;
3·4ⁿ is divisible by 3 and 51 is divisible by 3
Where we have;
= 3·4ⁿ + 51
= 3·4ⁿ⁺¹ + 51
-
= 3·4ⁿ⁺¹ + 51 - (3·4ⁿ + 51) = 3·4ⁿ⁺¹ - 3·4ⁿ
-
= 3( 4ⁿ⁺¹ - 4ⁿ) = 3×4ⁿ×(4 - 1) = 9×4ⁿ
∴ -
is divisible by 9
Given that we have for S₀ = 3×4⁰ + 51 = 63 = 9×7
∴ S₀ is divisible by 9
Since -
is divisible by 9, we have;
-
=
-
is divisible by 9
Therefore is divisible by 9 and
is divisible by 9 for all positive integers n
Step-by-step explanation: