An exoplanetary system has two known planets. planet x orbits in 290 days and planet y orbits in 145 days. which planet is closest to its host star? if the star has the same mass as the sun, what is the semi-major axis of the orbits for planets x and y?

Planet Y

Rx = 1.587 Ry

Explanation:

Tx = 290 days

Ty = 145 days

Let the semi major axis of planet X is Rx and of plant Y is Ry.

According to the Kepler's third law of planetary motion

Rx = 1.587 Ry

So, planet Y is closest to star.

emily ruth's annual premium is $1058.50

step-by-step explanation:

emily ruth is a female of 27 years age purchasing 20 year endowment insurance with face value $25000.

from the given table,

for females, the age of a male 3 years younger should be used.

so, we have to check for 24 year male for 20 year endowment.

it is 42.34 for every $1000 face value.

for a face value of $25000,

it is 25 * 42.34 = $1058.50

∴ emily ruth's annual premium is $1058.50

answer: a) y=-8x+5

a) m= -8

b) m= -2

c) m= 7

d) m= 6