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IrinaK [193]
2 years ago
11

It takes the earth 24 h to complete a full rotation. It takes Mercury approximately 58 days, 15 h, and 30 min to complete a full

rotation. How many hours does it take Mercury to complete a full rotation? Show your work using the correct conversion factors.
I just want to know how to do it with conversion factors
Mathematics
1 answer:
Nastasia [14]2 years ago
6 0
It takes Mercury <span>approximately 58 days, 15 h, and 30 min to complete a full rotation..

We are going to write the time not in days, hours and minutes, but only hours.

This means that we have to write 58 days as hours and 30 minutes as hours.



1 day is 24 hours, so 58 days are

58*24=(50+8)*(20+4)=50*20+50*4+8*20+8*4=1,000+200+160+32

=1,200+192=1,392  (hours)


60 minutes are 1 hour, so 30 minutes are 0.5 hours.



Thus


</span>58 days, 15 h, and 30 min are (1,392+15+0.5) hours = 1,407.5 hours



Answer: 1,407.5 hours
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Given the conditional relative frequency table below which was generated by column using frequency table data comparing the number of calories in a meal to whether the meal was prepared at home or at a restaurant.

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≥ 500 calories              0.15                      0.55                  0.28

< 500 calories              0.85                      0.45                  0.72

Total                             1.0                        1.0                    1.0

To determine whether there is an association between where food is prepared and the number of carories the food contain, we recall that an "association" exists between two categorical variables if the column conditional relative frequencies are different for the columns of the table. The bigger the differences in the conditional relative frequencies, the stronger the association between the variables. If the conditional relative frequencies are nearly equal for all categories, there may be no association between the variables. Such variables are said to be <span>independent.

For the given conditional relative freduency, we can see that there is a significant difference between the columns of the table.
i.e. 0.15 is significantly different from 0.55 and 0.85 is significantly different from 0.45

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Solve the equation y′ + 3y = t + e^(−2t).
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Hello,

I am going to remember:

y'+3y=0==>y=C*e^(-3t)

y'=C'*e^(-3t)-3C*e^(-3t)

y'+3y=C'*e^(-3t)-3Ce^(-3t)+3C*e^(-3t)=C'*e^(-3t) = t+e^(-2t)
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==>y= (e^t+t*e^(3t)/3-e^(3t)/9)*e^(-3t)+D
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Answer:

84.80

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Question Completion:

How are the percentages distributed? Is the distribution skewed? Are there any gaps? (Select all that apply.)

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Step-by-step explanation:

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2. Re-arrangement of

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38  39  42  42  46  46   46 48

49  49   50  50  50  52   52 54

56 56   59  59  60  67   72  73  

74  81  85  87   87   89  90  91  

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25% play either volleyball or baseball.
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