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enot [183]
3 years ago
9

what is the least possible value of the smallest of 99 consecutive positive integers whose sum is a perfect cube

Mathematics
1 answer:
dimaraw [331]3 years ago
4 0
First, try 99^3 = 970299; therefore, it is not the least possible value. 

The above number is a multiple of 99, so we can factor this out to find the least possible value. So we try to factor 99: 

99 = 9 * 11
99 = 3^2 * 11^ 1

and 3^3 * 11^3 = 35937

The least possible value is 4^1 + 11^2 = 125. Its sum is 125 which is a perfect cube. 


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lesya692 [45]

Make both sides powers of 3:

3^{\log_3(\log_2x)}=3^1\implies\log_2x=3

Make both sides powers of 2:

2^{\log_2x}=2^3\implies x=8=8.000

4 0
3 years ago
Please check what i have Quickly
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Break the figure into a triangle and a rectangle. 

The triangle has a base of 6 and a height of 3, so the area is 6*3/2 = 18/2 = 9
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On any day, the probability of rain is 0.3. The occurrence of rain on any day is independent of the occurrence of rain on any ot
poizon [28]
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3 0
3 years ago
Last one for the night but yeah
Jobisdone [24]
Answer: RQS= 90, QRS= 43, QSR= 47

Solving Steps:
180-90=90 (all the angles combined equal 180)
9x-2+10x-3=90
19x-5=90
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x=5

9(5)-2= 43
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4 0
3 years ago
Hi I need help figuring out the answer and fast
kiruha [24]

Answer:

Plane R

Plane EHG

Plane GHF

Plane FEG

Step-by-step explanation:

I hope this helps, I love geometry.

It is plane R because its cursive, if the R wasn't there it would be any of those letters but three of them.

8 0
3 years ago
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