Answer:
The maximum possible number of miles traveled by an automobile included in the histogram is 40,000 miles.
Step-by-step explanation:
A histogram is a bar graph reprinting the frequency of various categories.
In a histogram the <em>y</em>-axis represents the frequency and the <em>x</em>-axis represents the categories.
Consider the histogram provided for the number of miles driven by a sample of automobiles in New York City.
The <em>y</em>-axis represents the frequency and the <em>x</em>-axis represents the number of miles driven.
The category 10,000 miles has the highest frequency at 30.
And the maximum possible number of miles traveled by an automobile is 40,000 miles.
Thus, the maximum possible number of miles traveled by an automobile included in the histogram is 40,000 miles.
Answer: D. (-2, -1)
Step-by-step explanation:
Here we do two reflections to the point (-1, 2).
First, we do a reflection over the line x = y. Remember that a reflection over a line keeps constant the distance between our point and the given line, so we have that for a pint (x, y), the reflection over the line y = x is:
Ry=x (x, y) = (y, x)
so for our point, we have:
Ry=x (-1, 2) = (2, -1)
Now we do a reflection over the y-axis, again, a reflection over a line keeps constant the distance between our point and the given line, so if we have a point (x,y) and we do a reflection over the y-axis, our new point will be:
Ry-axis (x,y) = (-x, y)
Then in our case:
Ry-axis (2, -1) = (-2, -1)
The correct option is D.
Answer:
402m
Step-by-step explanation:
Set this up as a triangle and use trig to solve it:
tan(45) = y/402
y = 402*tan(45)
substitute: tan(45) = 1
y = 402 * 1
y = 402m
Answer:
a) 6x²/2x³-4
b) 
Step-by-step explanation:
a) Given the ln(2x³-4). We will use the chain rule in differentiating the function
If y = ln(2x³-4);
u = 2x³-4; du/dx = 3(2)x³⁻¹
du/dx = 6x²
y = ln u; dy/du = 1/u
According to chain rule, dy/dx = dy/dy*du/dx
dy/dx = 1/u * 6x²
dy/dx = 1/2x³-4 * 6x²
dy/dx = 6x²/2x³-4
Hence, the derivative of the given function is 6x²/2x³-4
b) Given an integral function
, the integral problem can be solved using integration by substitution method as shown below;
From the question, let y = 2x³-4... 1, dy/dx = 6x²
dx = dy/6x² ... 2
Substituting equation 1 and 2 into the question given;
