Answer:
11 17/21
Step-by-step explanation:
We presume the temperature is decreasing at midnight, so reaches a low at 6 a.m.. The amplitude of the variation is (87-63)/2 = 12 degrees. We want the period to be 24 hours, so the argument of the sine function will be 2π(t/24) = πt/12. Then we can write
... d = 75-12sin(π·t/12)
First, we are going to find the common ratio of our geometric sequence using the formula:

. For our sequence, we can infer that

and

. So lets replace those values in our formula:


Now that we have the common ratio, lets find the explicit formula of our sequence. To do that we are going to use the formula:

. We know that

; we also know for our previous calculation that

. So lets replace those values in our formula:

Finally, to find the 9th therm in our sequence, we just need to replace

with 9 in our explicit formula:



We can conclude that the 9th term in our geometric sequence is <span>
1,562,500</span>
Answer:
6.667%
Step-by-step explanation:
Given that:
Actual measurement = 7.5 mm
Measured value = 7 mm
Percentage error :
Error / (Actual measurement.) * 100%
(Actual measurement - measured value)
Error = 7.5 - 7 = 0.5 mm
Percentage error = (0.5 / 7.5) * 100%
Percentage error = 0.0666666 * 100%
= 6.667%