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Ksenya-84 [330]
2 years ago
14

P3. (3+5 points) Let k be any natural number. (a) Prove that for every positive integer n, we have σk(n) = σ−k(n)n k . Conclude

that n is a perfect number exactly when σ−1(n) = 2. (b) Prove that for all positive integers n, we have σ1(n) ≤ n log(n + 1) + γn, where γ is Euler’s constant defined in class. (In this course, log x = loge x denotes the natural logarithm). g
Mathematics
1 answer:
Mrac [35]2 years ago
8 0

Answer:

what????????????

Step-by-step explanation:

what is this my guy

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Evaluate:<br> g(x) = 3•2^x+2 + 3<br> g(3)
sertanlavr [38]

If the 3 is supposed to be replaced by any x's, then the answer would be 29 I believe.

4 0
3 years ago
In a right triangle, the side adjacent to angle x is 4 units. The side opposite that angle is 9 units. What is the tangent ratio
puteri [66]
Answer: C
The formula for tangent is tan(x)= opposite/ adjacent so plugging it in would be tan(x)=9/4
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2 years ago
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pioneers are buying mules to trek across the country. each of the 5 wagons require e mules to pull them. write the equation to e
tekilochka [14]

Answer:

d = 5e

Step-by-step explanation:

Number of wagons = 5

Number of miles per wagon = e

Total number of mules = d

Hence, relationship between total mules d needed will be ;

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d = 5e

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2 years ago
What is the center and radius of the circle that has the equation (x + 7)^ 2 + (y − 4) ^2 = 49? Explain.
alisha [4.7K]

Step-by-step explanation:

Center: (−7,4)(-7,4)

Radius: 7

3 0
2 years ago
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A rectangular prism with a volume of 2 cubic units is filled with cubes with side lengths of 1/4​ unit. How many 1/4 unit cubes
34kurt

Answer:

128

Step-by-step explanation:

Method A.

The volume of the prism is 2 cubic units.

Each cube has side length of 1/4 unit.

The volume of each cube is (1/4)^3 cubic unit.

The volume of each cube is 1/64 cubic unit.

To find the number of cubes that fit in the prism, we divide the volume of the prism by the volume of one cube.

(2 cubic units)/(1/64 cubic units) =

= 2/(1/64)

= 2 * 64

= 128

Method B.

Imagine that the prism has side lengths 1 unit, 1 unit, and 2 units (which does result in a 2 cubic unit volume.) Since each cube has side length 1/4 unit, then you can fit 4 cubes by 4 cubes by 8 cubes in the prism. Then the number of cubes is: 4 * 4 * 8 = 128

4 0
2 years ago
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