Using proportions, it is found that the predicted number of messages per person per day in 2019 is 1.05 times the estimated number in 2015.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
Researching this problem on the internet, it is found that in 2015, there were:
- 205,600 million messages.
Hence the number of messages per person is given by:
205600/2586 = 79.5.
For 2019, we have that there were:
- 246,500 million messages.
Hence the number of messages per person is given by:
246500/2943 = 83.76.
The proportion between these two amounts is given by:
83.76/79.5 = 1.05.
The predicted number of messages per person per day in 2019 is 1.05 times the estimated number in 2015.
More can be learned about proportions at brainly.com/question/24372153
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Hey the answer is 4000 ft^3 , choice c
Answer:
4 dozen(48)
Step-by-step explanation:
216/dozen(12) =18 dozen(12)
7x2 dozen = 14 dozen
18 dozen - 14 dozen = 4 dozen(48)
Answer:
11.28 ft
Step-by-step explanation:
The volume of a cylinder can be written as;
Volume V1 = πr^2 h
The volume of an hemisphere can be written as;
Volume V2 = (2/3)πr^3
The total volume of the silo is;
V = V1 + V2
V = πr^2 h + (2/3)πr^3
Given;
Volume of silo V= 15000 ft^3
Height of cylinder part h = 30 ft
Substituting the values;
V = πr^2 h + (2/3)πr^3
15000 = 30πr^2 + (2/3)πr^3
15000/π = 30r^2 + (2/3)r^3
2r^3 + 90r^2 - (15000×3/π) = 0
Solving the equation, we have;
r = 11.28 ft or -15.61 ft or -40.67 ft
Since the radius cannot be negative;
Radius r = 11.28 ft
To write the slope form quation
First; find the slope of