Answer:
; 
, 
.
Step-by-step explanation:
The resultant function is obtained by multiplying 
by a real number 
. That is:
If 
and 
, then 
is:
Given that presence of the expression 
, then:
and
The value of a is obtained by applying the definition of logarithms:
Finally, the value of k is found by direct comparison:
A cluster sample is one in which the population is divided into groups and a random sample of groups is drawn.
The answer is the third one (C?) because if you started at 0, you are going below it since you are losing yards, causing you to have less and less yards. Adding two negatives gives you a lesser amount.
Answer:
1140
Step-by-step explanation:
52/x=20/100
52(20)=100(x)
52(20) = 1040
100(x) = 100
1040+100= 1140
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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