x = _________
Answer Choices:
All real numbers except 11
x > 11
All real numbers
x ≤ 11
Answer:
Option D, x ≤ 11
Step-by-step explanation:
We have to determine the domain of the function.
f(x) =
This function is defined for the positive values of ( 11 - x ) because under root of negative terms is not defined.
Therefore, domain of the given function will be ( 11 - x ) ≥ 0
x ≤ 11
Option D, x ≤ 11 is the answer.
Answer:
The first derivative of (r(t)=5*t^{-2}) with respect to t is (r'(t) = -10*t^{-3}).
Step-by-step explanation:
Let be , which can be rewritten as . The rule of differentiation for a potential function multiplied by a constant is:
,
Then,
(r'(t) = -10*t^{-3})
The first derivative of (r(t)=5*t^{-2}) with respect to t is (r'(t) = -10*t^{-3}).
It is in the thousandths place
The point on the number line that represents 0.059 is very close to 0. Specifically, it is located a bit over halfway along the sixth segment of the section between 0 and 1, if this section is divided into 100 equal segments.
The point on the number line that represents 0.059 would be very close to 0. On a number line, which sequences numbers from left to right in increasing order, the number 0.059 is more than 0 but less than 1, so it appears somewhere between these two points. However, because 0.059 is substantially less than 1, its exact position would be much nearer to the 0 mark than the 1.
For example, if we consider a number line stretching from 0 to 1 and divide it into 100 equal segments, each representing 0.01, the point 0.059 would be located just a little over halfway along the sixth segment from the 0 point. This is because the decimal 0.059 rounds to 0.06, which is specifically represented by the position at the end of the sixth segment.
This process allows us to graphically represent decimals on the number line, and provides context for understanding the size and relative value of this decimal number.
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