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Murrr4er [49]
2 years ago
12

What is the smallest positive integer $n$ such that $3n$ is a perfect square and $2n$ is a perfect cube?

Mathematics
1 answer:
Agata [3.3K]2 years ago
6 0

Answer:

108

Step-by-step explanation:

Since 3n is a perfect square, that means that n has to be a multiple of 3. Since 2n is a perfect cube, then n has to be divisible by 2^2=4. Since n is a multiple of 3, then n also has to be divisible by 3^3=27. Therefore, the smallest value for n is 4*27=108.

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Many questions are difficult or nearly impossible to answer using table 2 in its current form. Since computing the answers to th
Fantom [35]

Answer:

see below

Step-by-step explanation:

Part A

the probability that a randomly chosen flight arrives on time = number of flights that arrive on time/ total number of flights

Part B

The same as part A but applied for each carrier and then comparing who has the closest number to 1

Part C

total number of flights that arrives on time in PHL/ total number of flights that are on time for all airports

Part D

look for the carrier Hawaiian Airlines (HA) first and then number of flights that arrives on time for HA/ total number of flights HA has

Part E

look for OO and WN in table

add up all flights made ( all airports) for OO and WN

add up all flights on time for OO and WN

divide flights on time by all flights made

Hope this will help you. :)

3 0
4 years ago
Can someone please help me?! 100% sure please
AleksAgata [21]
3 + 3/4x > = 15
3/4x > = 15 - 3
3/4x > = 12
x > = 12 / (3/4)
x > = 12 * 4/3
x > = 48/3 = 16 sessions <==
================
-p - 4p >  -10
-5p > -10
p < -10/-5
p < 2 <===
===============
-3 - 6(4x + 6) > = 9
-3 - 24x - 36 > = 9
-24x - 39 > = 9
-24x > = 9 + 39
-24x > = 48
x < = -48/24
x < = -2 <===
=================
2x - 2 > = 10
2x > = 10 + 2
2x > = 12
x > = 12/2
x > = 6........so ur solution set is {6,7}

8 0
3 years ago
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7 0
3 years ago
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(Photo attached) Trig question. I partially understand it, but not completely. Please explain! :) Thanks in advance.
aliya0001 [1]

Answer:

  • A = 2
  • B = 3

Step-by-step explanation:

You can start by recognizing 19/12π = π +7/12π, so the desired sine is ...

  sin(19/12π) = -sin(7/12π) = -(sin(3/12π +4/12π)) = -sin(π/4 +π/3)

  -sin(π/4 +π/3) = -sin(π/4)cos(π/3) -cos(π/4)sin(π/3)

Of course, you know that ...

  sin(π/4) = cos(π/4) = (√2)/2

  cos(π/3) = 1/2

  sin(π/3) = (√3)/2

So, the desired value is ...

  sin(19π/12) = -(√2)/2×1/2 -(√2)/2×(√3/2) = -(√2)/4×(1 +√3)

Comparing this form to the desired answer form, we see ...

  A = 2

  B = 3

5 0
3 years ago
Calculate the perimeter of the following rectangle:
Oksi-84 [34.3K]

Answer:

i realy dont know sorry

Step-by-step explanation:

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3 years ago
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