The explicit formula for the sequence is an = 14-6(n-1)
<h3>Arithmetic sequence</h3>
This are sequence that has. a common difference that is the difference between the preceding and sthe explicit formula for the sequence is an = 14-6(n-1) is equal.
Given the following
a1 = 14
an = an-1 - 6
The nth term of the sequence is expressed as:
An = a+(n-1)d
an = 14+(n-1)(-6)
an = 14 -6n + 6
an = 14-6(n-1)
Hence the explicit formula for the sequence is an = 14-6(n-1)
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Answer:
40 degrees
Step-by-step explanation:
-10+40=30
See attached picture.
Break the shape up into 4 different shapes and find the seperate areas then add them together.
Answer = C. 146
Answer: 2285
Step-by-step explanation:
Formula to find the sample size is given by :-

, where p = prior estimate of population proportion.
E= Margin of error.
= z-value for confidence interval of c.
Given : Confidence interval : 95%
From the z-value table , the z-value for 95% confidence interval = 
The General Social Survey reported a sample where about 61% of US residents thought marijuana should be made legal.
i.e. the prior estimate of population proportion of US residents thought marijuana should be made legal : p=0.61
[∵ sample proportion is the best estimate for population proportion.]
Margin of error : E= 2%=0.02
Now, the required minimum sample size would be :-

Simplify ,

Thus , we need to survey <u>2285</u> Americans .
Answer:
140 centimeters.
Step-by-step explanation:
Hello!
A 2.4 meter log is split into the ratio 7:5. Each unit part is one x-increment, so the log is split into 7 x-increments and 5 x-increments.
Find the longer length:
- 2.4 into 7:5
- 2.4 = 7x + 5x
- 2.4 = 12x
- x = 2.4/12
- x = 0.2
Now, we must find the longer length, 7x.
The longer length is 1.4 meters, but we want it in cm.
There are 100 centimeters in a meter.
- 1.4 meters = 1.4 * 100
- 1.4 meters = 140 centimeters
The longer length is 140 centimeters.