Answer:
Problem:
Consider a rectangle such that the length of the rectangle is 12 more than thrice its width. Find a formula for the length in terms of its width. Take width as 'x'.
Step-by-step explanation:
Consider a rectangle such that the length of the rectangle is 12 more than thrice its width. Find a formula for the length in terms of its width.
Let the width be 'x'.
Therefore, as per question, length is 12 more than thrice the width.
Thrice the width means . 12 more means adding 12 to the result.
Therefore, the length of the rectangle is
So, the above question expresses the length of the rectangle as which is the required answer.
Answer:
Remember that the maximum rate of change of f at a point u is the length of the of the gradient vector evaluate in u, and the direction in which it occurs is in direction of the gradient vector evaluate in u.
The gradient vector of f is
Then, the maximum rate of change is in the direction of (5,8).
Answer:
5/36
Step-by-step explanation:
The chance of drawing a blue marble is 5/12. The chance of drawing a green marble is 4/12. You multiply the fractions to get the probability.
5/12 * 4/12 =20/144 = 5/36 simplified.
×=23
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