Answer:
Subtract 5 from each side
Step-by-step explanation:
This would put all coefficients on one side.
Less than means to subtract so 2678 less than 10000 will be
=10000-2678
=7322
Answer: 7.5
Step-by-step explanation:
The given formula tells us that the next term f(n+1) of the sequence is -0.5 times the previous term f(n)
First term of the sequence is f(1) = 120
Second term of the sequence is f(2) = f(1+1) = -0.5 f(1) = -0.5 (120) = -60
Third term of the sequence is f(3) = f(2+1) = -0.5 f(2) = -0.5 (-60) = 30
Fourth term of the sequence is f(4) = f(3+1) = -0.5 f(3) = -0.5 (30) = -15
Fifth term of the sequence is f(5) = f(4+1) = -0.5 f(4) = -0.5 (-15) = <em>7.5</em>
Answer:one half
Step-by-step explanation:
We have the sum of cubes identity
and observing that 1 + 4 = 2 + 3, we have
and
Then
Alternatively, we have the well-known sum of cubes formula
The sum under the square root is this sum with 
. Then
and so the square root again reduces to 15.
