Given:
The graph of a function and a blue line.
To find:
The correct name for the blue line.
Solution:
Domain: It is the set of inputs. These are the x-values for which the function is defined.
Range: It is the set of outputs. These are the y-values for the function.
Asymptote: The function approaches to a line as x approaches to -∞ or ∞ but not intersect the line, then the line is known as asymptote.
y-intercept: It is the intersection point of the function and the y-axis.
From the given graph it is clear that the function approaches to the blue line as x approaches to -∞ but not intersect the blue line.
So, the blue line is an asymptote of the function.
Look at the graph shown below the blue line represents an asymptote of the graph.
Answer:
5 hours
Step-by-step explanation:
75 + 55x = 350
75 - 75 + 55x = 350 - 75
55x = 275
x = 5
If tan theta is -1, we know immediately that theta is in either Quadrant II or Q IV. We need to focus on Q IV due to the restrictions on theta.
Because tan theta is -1, the ray representing theta makes a 45 degree angle with the horiz axis, and a 45 degree angle with the negative vert. axis. Thus the hypotenuse, by the Pythagorean Theorem, tells us that the hyp is sqrt(2).
Thus, the cosine of theta is adj / hyp, or +1 / sqrt(2), or [sqrt(2)]/2
The secant of theta is the reciprocal of that, and thus is
2 sqrt(2)
---------- * ------------ = sqrt(2) (answer)
sqrt(2) sqrt(2)
Answer:
12% decrease
Step-by-step explanation:
To find the percent decrease, take the original amount and subtract the new amount
650-572=78
Divide this amount by the original amount
78/650 =.12
Multiply by 100
.12*100 = 12
Add the percent symbol
12% decrease
The Volume of cylinder is 3770 cubic millimeters
But, the correct option is not available in options given.
Step-by-step explanation:
Height of cylinder = 3mm
Diameter of cylinder = 40mm
Volume of cylinder = ?
The formula used to find Volume of cylinder is:
Putting values in the formula:
Since we need radius,
radius = diameter/2
radius = 40/2
radius = 20 mm
So,
The Volume of cylinder is 3770 cubic millimeters
But, the correct option is not available in options given.
Keywords: Volume of cylinder
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