Answer:
2.0625
Step-by-step explanation:
Convert the fraction to a decimal by dividing the numerator by the denominator.
Answer:
Step-by-step explanation:
The volume of a cylinder, 
is given by the formula,
Where, 
is the radius and 
is the height of the cylinder.
Here, 
, 
. Plug in these values and solve for radius, .
This gives,
Taking square root both sides, we get
Therefore, the radius of the cylinder can be expressed as .
Answer:
0.25%
Step-by-step explanation:
Rate of commission
= (commission*100)/cost of land
=( 20000*100)/8000000
= 2000000/8000000
=2/8
= 0.25%
There actually isn't anything to 'work'. There's no question there.
The function simply describes the relationship between two numbers.
It says that whatever you pick for the first number, the second number is
(-4 times the square of the first one) plus (7 times the first one) plus (6) .
Your teacher may have assigned you something to do with the function,
like draw the graph of it, or find its maximum value (2.9375), or find where
it crosses the x-axis (2.381 and -0.63) or the y-axis (6).
But we can't tell what you've been assigned to do with it. The function alone,
just as you've posted it, isn't asking a question, and doesn't call for any work.
Steps:
1) determine the domain
2) determine the extreme limits of the function
3) determine critical points (where the derivative is zero)
4) determine the intercepts with the axis
5) do a table
6) put the data on a system of coordinates
7) graph: join the points with the best smooth curve
Solution:
1) domain
The logarithmic function is defined for positive real numbers, then you need to state x - 3 > 0
=> x > 3 <-------- domain
2) extreme limits of the function
Limit log (x - 3) when x → ∞ = ∞
Limit log (x - 3) when x → 3+ = - ∞ => the line x = 3 is a vertical asymptote
3) critical points
dy / dx = 0 => 1 / x - 3 which is never true, so there are not critical points (not relative maxima or minima)
4) determine the intercepts with the axis
x-intercept: y = 0 => log (x - 3) = 0 => x - 3 = 1 => x = 4
y-intercept: The function never intercepts the y-axis because x cannot not be 0.
5) do a table
x y = log (x - 3)
limit x → 3+ - ∞
3.000000001 log (3.000000001 -3) = -9
3.0001 log (3.0001 - 3) = - 4
3.1 log (3.1 - 3) = - 1
4 log (4 - 3) = 0
13 log (13 - 3) = 1
103 log (103 - 3) = 10
lim x → ∞ ∞
Now, with all that information you can graph the function: put the data on the coordinate system and join the points with a smooth curve.
