Answer: 4.064
Step-by-step explanation: Add up all the numbers and divide them by the amount of numbers to find the average.
Answer:
Step-by-step explanation:
p(x) has degree 3
(x - 4) has degree 1
So p(x) can be rewritten as a polynomial of degree 2 multiplying (x-4)
So
To find a, b and c, we have to divide p(x) by x - 4.
So
Finding a:
Dividing the first term of p(x) by x - 4.
So a = 3.
Now multiplying 3x² by, x - 4, we have:
Subtracting p(x) from this:
Finding b:
Dividing the first term, after the subtraction, by x - 4.
So b = -8.
Multiplying -8x by x - 4, we have:
Then
Finding c:
So c = 5.
Just to verify if the remainder is 0.
Ok
Then:
Answer:
90 balls
Step-by-step explanation:
Set up proportion
36/x = 40/100
Cross multiply: 40x=3600
Solve for x
x=90
To check work:
40 percent of 90 would be 36
90(0.4)=36
Answer:
It gets quadrupled.
Step-by-step explanation:
Volume of cylinder is directly proportional to Height(h) and square of radius of base (r) with π as Constant of proportionality. ... If the height of a cylinder is doubled then the volume will get doubled. But, if the radius of the cylinder is doubled then the volume will get quadrupled.
Step-by-step explanation:
sec(x) = 1/cos(x)
and therefore, it behaves accordingly.
the minimum of cos(x) is the maximum of 1/cos(x).
it does not have any x-intercepts. for cos(x) = 1 (max) we get 1/1 = 1 for sec(x), which is the minimum.
mirrored to this, cos(x) = -1 gives us also -1 for sec(x).
sec(x) = 1/cos(x) can never have a result between -1 and +1.
cos(0) = 1, so also sec(x) = 1, and therefore (0, 1) is the y-axis intercept.
at every pi (beginning at 0) there is a horizontal tangent, but not an asymptote. the (vertical) asymptotes happen at every pi beginning at pi/2 and -pi/2.
therefore, only the third and fourth answer options are correct.