Answer:
Step-by-step explanation:
Common difference = second term - first term
= 2 -(-5)
= 2 +5 = 7
16 + 7 = 23
23 + 7 = 30
30 + 7 = 37
Next three terms are: 23 , 30 , 37 , .......
the number of cups is 5 us cups if the nurse encouraged a client with diarrhea to drink 40 ounces of water per day.
<h3>What is unit conversion?</h3>
It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
It is given that:
The nurse encouraged a client with diarrhea to drink 40 ounces of water per day.
As we know,
1 us cup = 8 ounces
Let x be the number of cups:
x = 40 ounces
1/x = 8/40
x = 40/8
x = 5 us cup
Thus, the number of cups is 5 us cups if the nurse encouraged a client with diarrhea to drink 40 ounces of water per day.
Learn more about the unit conversion here:
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Answer:
17. 6
18. 18 (as shown)
19. 10/3 = 3 1/3
20. 20/3 = 6 2/3
Step-by-step explanation:
17. For this, you can subtract the given length GB=12 from the length you found for problem 18, BF=18. Doing that tells you FG = 18-12 = 6, as you have marked on the diagram.
19. As with median BF, the point G divides it into two parts that have the ratio 1:2. The distance from G to D is the shorter of the distances, so you have ...
... GD = (1/3) CD = (1/3)·10 = 10/3
... GD = 3 1/3
20. You can subtract GD from CD to get CG, or you can multiply CD by 2/3. The result is the same either way.
... CG = CD -GD = 10 -3 1/3
... CG = 6 2/3
_____
<em>Comment on centroid and median</em>
The centroid (G) divides each median into parts in the ratio 1:2. Hence the shorter of those parts is half the length of the longer one, or 1/3 the total length of the median.
The longer of the parts is double the length of the shorter one, or 2/3 the total length of the median.
Your marking of median BF seems to show an understanding of these relationships. (Total length: 18; length of parts: 6 and 12.)
Answer:
Is it compounded monthly, weekly, yearly, or continuously?
Step-by-step explanation:
then the formula would be P=A/(1+r/n)^tn where r is interest rate as a decimal, A is the initial value, t is the time and n is the number of times compounded in a unit 't'. Plugging in the values, we would get 1000/(1+.05/1)^8(1)=$1477.46
Considering the volume of the cylinder, it is found that the height must be decreased by 18.51%.
<h3>What is the volume of a cylinder?</h3>
The volume of a cylinder of diameter d is given by:
In this problem, the diameter will be increased by 25%, hence d = 1.25d, and the volume will be of:
V = 0.390625 πd²h
Solving for the height, we have that:
h = V/0.390625 πd²
h = 0.8149 of the original, hence the height must be decreased by 18.51%.
More can be learned about the volume of a cylinder at brainly.com/question/9408912
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