Maria built a tool that checks the rate of flow of liquid from one container to another. The tool consists of a cylindrical cont
ainer attached to a cubic container. The cylinder has a diameter of 5 centimeters and a height of 6 centimeters, and the cube has a side length of 5 centimeters, as shown in the diagram below.
What is the volume of the two containers that make up Maria’s tool?
a 690.2 cubic centimeters
b 596 cubic centimeters
c 266.3 cubic centimeters
d 242.75 cubic centimeters
What is the volume of the two containers that make up Maria’s tool?
a 690.2 cubic centimeters
b 596 cubic centimeters
c 266.3 cubic centimeters
d 242.75 cubic centimeters
1 answer:
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Answer: graph E.
A geometric sequence can be written as:
where:
a₁ = first term = 4
r = ratio = 0.5
Substituting the numbers, we have:
or else
This is an exponential function with base less than 1. Therefore, we can exclude graph C (which depicts a linear function), and graphs A and D (which depict an exponential function with base greater than 1).
In order to choose between graph B and E, let's evaluate the function in two different points:
Therefore, we need to look for the graph passing through the points (1, 4) and (2, 2). That is graph E.