Answer:
The instantaneous rate of change of with respect to at the value is 18.
Step-by-step explanation:
a) Geometrically speaking, the average rate of change of with respect to over the interval by definition of secant line:
(1)
Where:
, - Lower and upper bounds of the interval.
, - Function exaluated at lower and upper bounds of the interval.
If we know that , and , then the average rate of change of with respect to over the interval is:
The average rate of change of with respect to over the interval is 27.
b) The instantaneous rate of change can be determined by the following definition:
(2)
- Change rate.
, - Function evaluated at and .
If we know that and , then the instantaneous rate of change of with respect to is:
<u>Given</u>:
The given expression is
We need to simplify the given expression.
<u>Simplification</u>:
Let us simplify the given expression.
Rewriting the given expression, we have;
Let us apply the exponent rule , we get;
Taking LCM, we have;
Simplifying, we get;
Thus, the simplified value of the given expression is
Hence, Option a is the correct answer.
16?
width of one box = 1.25 inches
Given data:
12 congruent boxes
Length = 25 inches
height = 2 feet
Volume = 9000 cubic inches
First change the height into inches
1 foot = 12 inches
therefore 2 feet = 24 inches
Volume = Length * width * height
9000 = 25 * width * 24
9000 = 600 * width
width = 9000/600
width = 15 inches
width of one box = width of all boxes / number of boxes
width of one box = 15/12
12 and half pies
question
what is the total number of apple pies that the bakers can make?
there are 15 boxes
each box 18 apples
they use 7 apples for each pie
7 times the apples and adding the answer is right
Check the attachment the solution of the work is given there