Answer:
3m - 4
Step-by-step explanation:
Divide.
(15mn)/(5n) = 3m
(-20n)/(5n) = -4
3m - 4 is your answer.
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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:
Answer:
7.8. 10 ^ 3 m / s
Step-by-step explanation:
The computation of the average speed in m/s is shown below:
The average speed equation is
= ΔS ÷ Δt;
As We know that
an entire revolution would be40,000 km
and a satellite takes 85 minutes to complete a revolution,
So,
ΔS = 40,000 km = 40,000,000 m
Δt = 85 min = 5 100 s
Now the average speed is
= 40 000 000 ÷ 5 ÷ 5 100
= 7843.14 m / s
= 7.8. 10 ^ 3 m / s
Aprox 14.663
now i need to fill this to 20 letters
hey how ya doin
i thing this is enough
Answer:
B
Step-by-step explanation:
Let's say that the smallest is called "a"
We can re-write the question like this:
a+(a+1)+(a+2)+(a+3) = 174
4a+6=174
4a=168
a=42
