Answer:
9625
Step-by-step explanation:
If 385 alcohol swabs were defective, then 385 is 4% of all produced alcohol swabs.
385*25 = 9625
9625 alcohol swabs were produced
Hey there!
3^15/ 3^3
3^15
= 3*3*3*3*3*3*3*3*3*3*3*3*3*3*3
= 9*9*9*9*9*9*9*3
= 81*81*81*27
= 6,561 * 2,187
= 14,348,907
= 14,348,907/3^3
3^3
= 3*3*3
= 9*3
= 27
14,348,907/27
= 531,441
15 - 3 = 12
= 3^12
Because
3^12
= 3*3*3*3*3*3*3*3*3*3*3*3
= 9*9*9*9*9*9
= 81*81*81
= 6,561*81
= 531,441
531,441 ≈ 3^12
Therefore, your answer should be: 3^12
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Answer:
18 pints
Step-by-step explanation:
As we can see, three pint of yellow paint was mixed with four pint of red paint. Let x represent the number of yellow paint and let y represent the number of red paint. Therefore, the ratio of the two paints is:
x/y = 3/4
x = (3/4)y
To calculate the number of red paints (x) that is needed to be mixed with 24 pints of yellow paint, we use the equation and substitute y as 24. Hence:
x = (3/4)y
x = (3/4) * 24
x = 18 pints
Answer:
rang is 31
Step-by-step explanation:
The answers that would fill in the blanks are
- 2r
- a circle
- an annulus
- 1/3πr³
- 4/3πr³
<h3>What is the Cavalier's principle?</h3>
This principle states that if two solids are of equal altitude then the sections that the planes would make would have to be parallel and also be at the same distances from their bases which are equal such that the volumes of the solids would be equal.
Now we have to fill in the blanks with the solution.
For every corresponding pair of cross sections, the area of the cross section of a sphere with radius r is equal to the area of the cross section of a cylinder with radius r and height<u> 2r</u> minus the volume of two cones, each with a radius and height of r. A cross section of the sphere is a <u>circle</u> base of cylinder, is and a cross section of the cylinder minus the cones, taken parallel to the base of cylinder, is an <u>annulus_ </u>.The volume of the cylinder with radius r and height 2r is 2πr³, and the volume of each cone with radius r and height r is 1/3πr³. So the volume of the cylinder minus the two cones is 4/3πr³. Therefore, the volume of the sphere is by Cavalieri's principle
Read more on Cavalieri's principle here
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