Answer:
Step-by-step explanation
Volume of tank = l* b*h
= 18*16*13
=3744 cubic cm
Volume of cylinder = volume of tank
πr²h = 3744
3.14* (17/2)² * h = 3744
h= 3744 *2 *2/*17*17*3.14
h=16.5 cm
The graph that shows the solution to the system of inequalities is: C (see the image attached below).
<h3>How to Determine the Graph of the Solution to a
System of Inequalities?</h3>
Given the following systems of inequalities:
y < -1/3x + 1
y ≤ 2x - 3
Below are the features of the graph that represents a solution to the system of inequalities:
- The boundary line of y < -1/3x + 1 would be a dashed line and the shaded area would be below it, because of the inequality sign, "<".
- The boundary lines of y ≤ 2x - 3 would be a solid line and the shaded area would be below it, because of the inequality sign, "≤".
- The slope of the shaded line that represents y < -1/3x + 1, would be -1/3, and the line would be a decreasing line which intersects the y-axis at 1.
- The slope of the line that represents y ≤ 2x - 3, would be 2, and the line would also be an increasing line that intersects the y-axis at -3.
Therefore, the graph that shows the solution to the system of inequalities is: C (see the image attached below).
Learn more about the graph of the system of inequalities on:
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Answer:
In an introductory trignometry course, there are many options for introducing trigonometric functions: • As ratios of sides of right triangles ...
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Answer:
no
Step-by-step explanation:
x must be 6
Answer:
Step-by-step explanation:
Our friend asking what the actual function is has a point. I completed this under the assumption that what we have is:
and used the quotient rule to find the derivative, as follows:
and simplifying a bit:
and a bit more to:
and combining like terms:
and factor out the GFC in the numerator to get:
That's the derivative simplified. If we want f'(0), we sub in 0's for the x's in there and get the value of the derivative at x = 0:
which simplifies to
which translates to
The slope of the function is 11/4 at the point (0, -1/2)