Answer:
B. 1 and D. 3.
Step-by-step explanation:
The figure below shows the graphs of f(x) = 3x - 1 (red) and g(x) = 2^x (blue).
The solutions of 3x - 1 = 2^x are the points at which the two curves intersect.
The solutions are at x = 1 and x = 3.
Check:
3 × 1 - 1 = 2¹ 3 × 3 -1 = 2³
3 - 1 = 2 9 - 1 = 8
2 = 2 8 = 8
Answer:
and
Step-by-step explanation:
This question is simple once you break it down.
Let's concentrate on the outer cylinder.
First, find the volume of the outer cylinder.
The volume of a cylinder is expressed as:
Gathering information from the diagram..
d = 8 cm
h = 9 cm
You can get the radius from the diameter by just dividing the diameter by 2.
r = 4
Plug everything into the volume equation.
Don't solve just yet!
Now, find the volume of the inner cylinder.
Do the exact same thing as you did for the outer cylinder.
d = 4 cm
h = 9 cm
r = 2
Plug everything into the volume equation..
The question asks for an expression to represent the volume of the large cylinder after the cylindrical hole is removed. This means you need to subtract the volume of the cylindrical hole from the volume for the large cylinder.
Again, the volume for the large cylinder is and the volume for the cylindrical hole is
This means..
That is your answer to the first part of the question.
For the second part, just solve.
Don't forget the units.
Hope this helped you!
Answer:
d. The average is equal to 12 ounces.
Step-by-step explanation:
In this problem, the drink filling machine must be perfectly calibrated at 12 ounces since it needs to be shut down in cases of overfilling (mean > 12 ounces) and underfilling (mean < 12 ounces). Therefore, the correct approach would be to test if the mean is 12 ounces and the correct set of hypothesis would be:
The correct alternative is d. The average is equal to 12 ounces.