Size of file- 7.45 MB.
rate of download- .095 MB a second
7.45/.095=78.42 seconds (a little over a minute)
Answer:
Step-by-step explanation:
A) The equation for the volume of a sphere is
As the diameter of each ball is 3 inches, that would mean that the radius of each is 1.5 inches.
Now we can plug our value into the equation
This would simplify to
V = 14.12716694
B) The equation for the volume of a cylinder is
As there are 3 balls in a container and the diameter of each is 3, that would mean that the height is 9 inches
Now we can plug in our values into the equation
This would mean that this equation would simplify to
27\pi
C) To find the empty space, we must take the total volume, the volume of the cylinder, and subtract the volume of the tennis balls
This would mean that the equation would look like this
This would simplify to
42.41150082 of empty space.
It is in the book just got look for it
Answer:
1. (3/2)
2. (20)
3. (3)
4. (-9/5)
5. (-8/7)
6. (-2/3), (4)
Step-by-step explanation:
1. 2. 3. 4.
x 3 12 3 x 1 x + 3 3
/ = / / = / / = / / = /
4 8 x 5 9 x 2 5
8x = 12 60 = 3x x² = 9 5x + 15 = 6
÷8 ÷8 ÷3 ÷3 x = √9 -15 -15
5x = -9
x = (3/2) x = 20 x = 3 ÷5 ÷5
x = (-9/5)
5. 6.
4 - x 3 1 x - 3
/ = / / = /
12 7 2x + 1 9
28 - 7x = 36 9 = 2x^2 - 5x - 3
-28 -28 + 3 + 3
12 = 2x^2 - 5x
-7x = 8 -12 -12
÷-7 ÷-7
2x^2 - 5x - 12 = 0
x = (-8/7)
-b +-√b^2 - 4ac
/ = -(-5)√-5^2 - 4 (2)(-12)
2a /
2(2)
= 5-+√121 5 - 11 -6
/ = / = / = (-2/3)
-4 4 4
= 5 + 11 16
/ = / = (4)
4 4
I hope this helps!
Answer:
Deandra completed the first 6 problems at a rate of 3 problems per hour and the last 12 at a rate of 4 problems per hour.
Step-by-step explanation:
6 problems ÷ 2 hours = 3 problems per hour
12 problems ÷ 3 hours = 4 problems per hour