Answer:
Step-by-step explanation:
Convert 6 hours to minutes so that 6 hours and 16. 3 minutes can be in the same units.
Since 1 hour = 60 minutes, then 6 hours = 6 x 60 minutes = 360 minutes
Since the insect has more minutes to crawl (360 minutes), then we expect more inches to be covered. Therefore, the ratio is 360 minutes to 16.3 minutes
= 360 minutes : 16.3 minutes
= 360 : 16.3
Now express the ratio as fraction and relate it with 30 inches
= 360/16.3 x 30/1
= 10800/16.3
= 662 .576687 and this is approximately 650 inches
Answer = 650 = (C)
Answer:
First term: 5
Fourth term: 5 1/2
Tenth term: 6 1/2
Step-by-step explanation:
Let's find the first, fourth and tenth terms of the arithmetic sequence described by the given rule:
A(n) = 5 + (n-1) (1/6)
First term:
A(1) = 5 + (1-1) (1/6)
A(1) = 5 + (0) (1/6)
A(1) = 5
Fourth term:
A(4) = 5 + (4-1) (1/6)
A(4) = 5 + (3) (1/6)
A(4) = 5 + 3/6 = 5 3/6 = 5 1/2 (simplifying)
Tenth term:
A(10) = 5 + (10-1) (1/6)
A(10) = 5 + (9) (1/6)
A (10) = 5 + 9/6 = 6 3/6 = 6 1/2 (simplifying)
9 + √2 / 4 - √7
Multiply the numerator and denominator by the conjugate.
Exact form:
(36 + 9√ 7 + 4√2 + √14) / 9
or
about 7.69
:)))
