Answer:
(- 6, 3 )
Step-by-step explanation:
Under a rotation about the origin of 90°
a point (x, y ) → (y, - x ), thus
(- 3, - 6 ) → (- 6, 3 )
1) 8^-24 = 1 / 8^24
2) 6^-1 = 1/6
3) 5^-8 = 1 / 5^8
4) -3^1 = -3
5) 4^-4 = 1 / 4^4
6) 5^9
7) 8^-3 = 1 / 8^3
8) 9^4
9) 7^1 = 7
10) 2^-4 = 1 / 2^4
now, keeping in mind that a circular clock has 360° total, and there are 12 hours labeled on it evenly, so the angle between each hour label is 360 ÷ 12 = 30.
so, from 3pm to 5pm, it moved by 30° + 30° = 60°.
from 5pm to 5:30, that's only half an hour, so it moved half 30°, or 15°.
60° + 15° = 75°.
Answer:
$42.79
Step-by-step explanation:
Tax: 2.7993 or 2.80
39.99 + 2.80 = 42.79
Answer:

Step-by-step explanation:
First, let’s check to see if the direction vector is a unit vector:

It’s not a unit vector. therefore let's divide the vector by its magnitude in order to convert it into a unit vector:

Now, the directional derivative is given by:

So let's calculate the partial derivates:



Therefore:
