Answer:
0, 1, 1/2
Step-by-step explanation:
First you would have to make them have the same denominators.
The lowest one they share is 24.
What ever you do to the bottom you have to do to the bottom.
1/6, times each by 4.
1 * 4 = 4
6 * 4 = 24
4/24.
Now you have to do the same thnig for 5/8.
But times it by 3, since 8 times 3 is 24.
5 * 3 = 15
8 * 3 = 24
15/24
Now subtract.
15 - 4 = 11/24
the difference is close to one half.
4/24 = 1/6 is close to 0.
15/24 = 5/8 is close to 1.
Answer:
1) 189.25 square inches
2) 21 square feet
Step-by-step explanation:
1) In order to find the area of a semicircle, you use (πr^2)/2. When you plug in 3.14 as pi and 5 as your radius, you'll get 39.25. The area of the rectangle is base x height which is 10 x 15/150. 150 + 39.25 = 189.25
2) If you draw a vertical line that is parallel to the 2 feet measure, you'll have two rectangles with areas (5x3) and (3x2). 15 + 6 = 21
The equation of the parabola whose focus is at (7, 0) and directrix at y = -7 is
(x-7)^2 = 14(y + 7/2)
Hope this helps
A(t)=A0*(1/2)^(t/30)
where t=elapsed years
A0=initial mass at t=0.
