Let us assume that a person works for 8 hours a day.
Let us assume that the person works for 5 days a week.
Wage earned per hour = $15
So, wage earned in 8 hours = 15*8 = $120
Now, wage earned in 1 day = 120
So, wage earned in 5 days = 120*5 =$600
As the person works for 5 days in 1 week
So, in 50 weeks, he will work = 50*5 = 250 days
So, total number of hours he must have worked = 250*8 =2000 hours
Now, per hour wage = $15
wage in 2000 hours = 15*2000 = $30000
Hence, the estimated wage a person earns in 50 weeks = $30000
L(x) = f'(a)(x - a)
f(x) = x^(-1), f'(x) = -x^(-2)
Let a = 1, f'(a) = -(1)^(-2) = -1
L(0.9) = f'(1)(0.9 - 1) = -1(-0.1) = 0.1
Therefore, linear approximation of f(x) = x^(-1) for x = 0.9 is 0.1
Answer:
D
Step-by-step explanation:
Let's draw a picture (see attachment).
We know that since our point is (-5, -12), it must pass in the third quadrant. Now, if we drop a perpendicular line from the point (-5, -12) to the x-axis, we have a right triangle. Notice that we already know the two leg lengths of this: -5 and -12.
Cosine is adjacent / hypotenuse. Here, the adjacent side to the angle θ is -5. We need to find the hypotenuse, which we can do so by using the Pythagorean Theorem:
c² = a² + b²
c² = (-5)² + (-12)²
c² = 25 + 144 = 169
c = 13
So, the hypotenuse is 13. Now, plug these values in:
cos(θ) = adjacent / hypotenuse = -5/13
The answer is D.
Answer:
Hemisphere radius = 3 inch
Sphere volume = 4/3 • π • radius^3
Sphere volume = 4/3 • π • 27
Sphere volume = 113.0973355292 cubic inches
Cylinder Volume = π • radius^2 • height
Cylinder Volume = π • 9 * 10
Cylinder Volume = 282.7433388231 cubic inches
TOTAL VOLUME = 113.10 + 282.74 cubic inches
TOTAL VOLUME = 395.84 cubic inches
Step-by-step explanation: