Answer: 5) r = 5, 8th term = -78,125
6) r = 5, 8th term = -312,500
7) r = 5, {1, 5, 25, 125, 625}
8) r = 5, {-4, -20, -100, -500, -2500}
<u>Step-by-step explanation:</u>
The explicit formula of a geometric sequence is:
, where;
- n is the number of the term
- a₁ is the first term
- r is the common ratio


Answer:
37.7 mi²/h
Step-by-step explanation:
The area formula is ...
A = πr²
Differentiating with respect to time gives ...
dA/dt = 2πr·dr/dt
Filling in the given values, we have ...
dA/dt = 2π(3 mi)(2 mi/h) = 12π mi²/h
The area is increasing at the rate of about 37.7 mi² per hour.
Answer:
Alan = reject H0
Bill = cannot say
Step-by-step explanation:
Given that Heather is a student in a class that has been asked to conduct a hypothesis test for a population proportion.

(two tailed test at 5% significance level)
Since she rejects null hypothesis p value should have been less than 0.05
when p value <0.05, it is definitely less than 0.10
So at 1% level of significance also the null hypothesis would be rejected.
So Alan also would get the same result as to reject the H0
But about Bill since Bill uses 0.01, we cannot definitely say that p value is less than or greater than 0.01
All we know is that p is less than 0.05
Hence it is impossible to tell from the information for Bill
Answer:
120L
Step-by-step explanation:
Given quantity;
0.12kL to L
Solution:
Convert the given quantity to Liters;
1000L = 1kL
So.
1kL gives 1000L
0.12kL will be 1000 x 0.12 = 120L
<span>4.045 x10^-3 in standard notation = 4,045</span>