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fomenos
3 years ago
13

The orbital period, P, of a planet and the planet’s distance from the sun, a, in astronomical units is related by the formula mc

023-1.jpg. If Saturn’s orbital period is 29.5 years, what is its distance from the sun?
Mathematics
2 answers:
Gnoma [55]3 years ago
7 0
<span>Given that the orbital period, P, of a planet and the planet’s distance from the sun, a, in astronomical units is related by the formula P = a^(3/2). If Saturn’s orbital period is 29.5 years, then 29.5 = a^(3/2) a = (29.5)^(2/3) = 9.547 Therefore, Saturn's distance from the sun is 9.547 astronomical units.</span>
mina [271]3 years ago
7 0

Answer:

Its A on EDGE

Step-by-step explanation:

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In a field there are cows, birds, and spiders. Spiders have 4 eyes and 8 legs each. In the field there are 20 eyes and 30 legs.
Kitty [74]

Answer:

1 spider, 3 cows, 5 birds.

Step-by-step explanation:

Cows (C): 4 legs, 2 eyes.

Birds (B): 2 legs, 2 eyes.

Spiders (S): 8 legs, 4 eyes.

The number of legs and eyes are given, respectively by:

30 = 4C+2B+8S\\20 = 2C+2B+4S

Multiplying the second equation by -2 and adding it to the first one gives us the number of birds:

30 -40= 4C-4C+2B-4B+8S-8S\\-10 = -2B\\B=5

Rewriting the original equations with B =5:

30 = 4C+2*5+8S\\20 = 2C+2*5+4S\\20 = 4C+8S\\10 = 2C+4S\\C=5-2S

Since the number of cows cannot be negative, and both C and S must be odd numbers, the only possible value of S is 1:

C=5-2S\\S=1\\C=3

7 0
3 years ago
HELP PLEASE:
saw5 [17]
For this case we have the following scenario:

 Carlos enrolled in a gym to play sports. Carlos pays a fee for the registration and must pay 1 dollar for each day he trains in the gym. Write an equation that models the problem.

 The equation that models the problem is:
 y = x + 1.
 The slope of the line is 1 and represents the payment of 1 dollar for each day trained.
 The intersection with the y axis is 1 and represents the payment of 1 dollar for the initial inscription.
4 0
3 years ago
Do all perpendicular lines have negative reciprocal slopes?
inna [77]

Not necessarily, the more correct definition is opposite reciprocal slopes.

The example used is how horizontal and vertical lines are parallel. Horizontal lines have a slope of 0, also written as 0/1. However, vertical lines have an undefined slope, which isn't necessarily negative. It has a slope of 1/0, which is undefined. In this case, the reciprocal isn't negative.

In all other cases (1 and -1, 2 and -1/2, etc.) yes, the perpendicular pairs are negative and reciprocal.

6 0
3 years ago
Is x = 3 a solution of the equation 3x − 5 = 4x − 9? Explain.
Vika [28.1K]

Answer:

no because on is equal to 3 when plugged in and the other is equal to 4 when plugged in.

Step-by-step explanation:

3(3)-5=4\\4(3)-9=3

5 0
3 years ago
Which of the following is equal to the rational expression when x=-1 or -7? (x+1)(x-1)/(x+7)(x+1) a. x+7/x-1 b. x-1/x+7 c. x+1/x
e-lub [12.9K]

Answer:b

Step-by-step explanation:

(×+1)(×-1)

---------------

(×+1)(×+7)

=cancel (×+1) both the numerator and denominator then you are left with

(×-1)

-------

(×+7)

=(×-1)/(×+7)

5 0
3 years ago
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