Since the question explicitly stated that ice production is proportional to time, we're going to have to use proportion fractions. Remember to convert hours into minutes as well.
Answer:
(r*s) = (x-5)(2x+6) = 2x2 + 6x - 10x - 30 = 2x2 - 4x - 30
(r-s)(x) = x-5 - (2x+6) = x - 5 - 2x - 6 = -x - 11
(r+s)(x) = x - 5 + 2x + 6 = 3x + 1
(r + s)(3) = 3(3) + 1 = 9 + 1 = 10
Step-by-step explanation:
Divide the 10 by 4, which makes the x be 2.5. You can check it by multiplying 4 by 2.5, which will give you 10.
Answer:
The 8th term of the sequence is 896/2187.
Step-by-step explanation:
We want to find the 8th term of a geometric sequence whose common ratio is 2/3 and whose first term is 7.
We can write a direct formula. Recall that the direct formula of a geometric sequence is given by:

Where <em>a</em> is the initial term and <em>r</em> is the common ratio.
Substitute:

To find the 8th term, let <em>n</em> = 8. Substitute and evaluate:

In conclusion, the 8th term of the sequence is 896/2187.