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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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Answer:

-4

Step-by-step explanation:

Y = -4x+-2

Not quite sure how to explain it on here but substitute it and it works. :)

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Hope researches the impact of one variable on another. She graphs the data from her research and sees that the data forms a shap
BigorU [14]

The <em><u>correct answer</u></em> is:

She can determine that while there is an association between the variables, there is no correlation, and she cannot determine causation.

Explanation:

Since there is an arch shape to her graph, we know that as one variable changes, the other changes in the same manner. This means there is an association between the variables.

However, since the graph is not linear, there is no correlation between the variables. Since there is no correlation, we cannot determine causation.

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2 years ago
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A pizza shop sells pizzas that are 10 inches (in diameter) or larger. A 10-inch cheese pizza costs
Bogdan [553]

Answer:

A pizza shop sells pizzas that are 10 inches orr larger. A 10-inch cheese pizza costs $8 and each additional costs $1.50 and each additional topping costs $0.75.

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2 years ago
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a(0.3−y)+1.1+2.4x (y−1.2) ​ =0 =−1.2(x−0.5) ​ Consider the system of equations above, where aaa is a constant. For which value o
Veseljchak [2.6K]

Answer:

For a = 1.22 there is one solution where y = 1.3

Step-by-step explanation:

Hi there!

Let´s write the system of equations:

a(0.3 - y) + 1.1 +2.4x(y-1.2) = 0

-1.2(x-0.5) = 0

Let´s solve the second equation for x:

-1.2(x-0.5) = 0

x- 0.5 = 0

x = 0.5

Now let´s repalce x = 0.5 and y = 1.3 in the first equation and solve it for a:

a(0.3 - y) + 1.1 +2.4x(y-1.2) = 0

a(0.3 - 1.3) + 1.1 + 2.4(0.5)(1.3 -1.2) = 0

a(-1) + 1.1 + 1.2(0.1) = 0

-a + 1.22 = 0

-a = -1.22

a = 1.22

Let´s check the solution and solve the system of equations with a = 1.22. Let´s solve the first equation for y:

1.22(0.3 - y) + 1.1 +2.4(0.5)(y-1.2) = 0

0.366 - 1.22y + 1.1 + 1.2 y - 1.44 = 0

-0.02y +0.026 = 0

-0.02y = -0.026

y = -0.026 / -0.02

y = 1.3

Then, the answer is correct.

Have a nice day!

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2 years ago
If csc x° = five fourths, what is the value of b? triangle LMN in which angle M measures 90 degrees, angle L measures x degrees,
Allushta [10]

Answer:

b=6

Step-by-step explanation:

csc(x°) = LN/NM

5/4 = 22.5/(3b)

b = 22.5·4/(5·3)

b  = 6

5 0
2 years ago
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