Answer:
![(-\infty, -5] \cup (4,\infty)](https://tex.z-dn.net/?f=%28-%5Cinfty%2C%20-5%5D%20%5Ccup%20%284%2C%5Cinfty%29)
Step-by-step explanation:
The symbol 
is set notation for UNION--put two sets together into one set.
The first part of the interval notation describes x less than or equal to -5 -- notice the bracket symbol after -5, meaning include -5.
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
brainly.com/question/22431955
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Answer:
1/8
Step-by-step explanation:
There are 3 + 3 + 6 = 12 marbles in the bag and 12 * 12 = 144 ways to choose two marbles when replacing. There are 3 * 6 = 18 ways to choose a red marble and then a blue marble so the probability is 18 / 144 = 1 / 8.
The mathematical expression to represent the number of years elapsed since the disappearance of Helike until the end of the American Civil War is:
- T (years from Helike's disappearance to the end of the Civil War) = w + 373
To reach this conclusion we had to search for additional information and found that the year of the disappearance of the Greek city of Helike is -⅕ times the year the American Civil War ended.
- Helike's disappearance year = (-w / 5)
According to the previous expression, the year of Helike's disappearance is:
- Helike's disappearance year = (-1865/5) = -373
According to the previous data, it can be inferred that the expression that represents the number of years elapsed between the disappearance of the Greek city of Helike and the end of the US Civil War is:
- T = w + 373
- T = 1865 + 373
- T = 2238
Note: This question is incomplete because the is some information missing. However, I can answer it based on my prior knowledge.
Learn more about Civil War in: brainly.com/question/14234520
