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Over [174]
3 years ago
5

The equation T squared = A cubed shows the relationship between a planet's orbital period, T, and the planet's mean distance fro

m the sun, A, in astronomical units, AU. If planet Y is k times the mean distance from the sun as planet X, by what factor is the orbital period increased? k Superscript one-third k Superscript one-half k Superscript two-thirds k Superscript three-halves
Mathematics
1 answer:
Dafna11 [192]3 years ago
3 0

Answer:

Ty = √k  * Tx

The orbital period of Y has to be be multiplied by √k .   or . k∧1/2

Step-by-step explanation:

The general equation:

T² = A³

is for the case of planet X

Tₓ² = Aₓ³

In the case of planet Y

Ty² = k * Aₓ³ .     and   Aₓ³ = Tₓ²

By substitution:

Ty² =  k *Tₓ²

Ty = √k  * Tx

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What is the slope of this line?
Talja [164]

Answer:

-1

Step-by-step explanation:

Slope= rise/run

Since the line is decreasing, it will be negative.

6 0
3 years ago
Sarah is rolling a number cube, numbered 1-6, and recording the number that shows up on each roll.
Fiesta28 [93]

Answer:

C

Step-by-step explanation:

Definition: Two events, A and B, are independent if the fact that A occurs does not affect the probability of B occurring.

Event A = getting a 4 on the first roll.

Event B = getting a 4 on the second roll.

True option C: A and B are independent events, because the probability of the first roll will not affect the probability of the second roll.

3 0
4 years ago
Determine the intercepts of the line. Do not round your answers. 2x+5y=-6, y x-intercept:
NikAS [45]

The required x and y-intercept of the given line is -3 and -6/5 respectively.  

<h3>What is the slope of the line?</h3>

The slope of the line is the tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The given equation of the line is 2x+5y=-6.
Transform into standard form of line .i.e  is y = mx + c

5y = -2x - 6
y = -2x/5 - 6/5
here , m = -2/5 and c = -6/5
Since c = y-intercept of the line = -6/5
Now, put y = 0 in the equation of the line.
2x = -6
x = -3

Thus, the required x and y-intercept of the given line is -3 and -6/5 respectively.  

Learn more about slopes here:
brainly.com/question/3605446

#SPJ1

3 0
1 year ago
Brad purchased a bag of apples for $2 and b pounds of bananas for $0.50 per pound. He spent a total of $3. The total price of hi
Len [333]
0.5b+2=3
0.5b=3-2
0.5b=1
b=2
so brad purchased 2 pounds of bananas
3 0
3 years ago
What number Could be added in the expression -4 -9 that the value of the expression is 0
Anton [14]
If i’m understanding this correctly -9 + -4 is equal to -13 so wouldn’t you just add 13 to make it 0?

sorry if this is confusing
8 0
3 years ago
Read 2 more answers
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