Worth 20 points explain your answers correctly! a. if a spacecraft was parked on venus and needed to make a flight to jupiter, how far would it need to travel? show your work and provide your answer in scientific notation.
b. mercury, venus, and earth are the three planets closest to the sun. would their combined distance from the sun be greater or less than the distance from the sun to neptune? show your work and justify your answer.
c. if earth was 10 times farther away from the sun than it is now, which planet would it be closest to? compare earth's new distance to that planet. how far apart would they be in standard notation? how far apart in scientific notation? show your work.
d. the space shuttle travels at about 28,000 km per hour. using that information, estimate how many hours it will take the shuttle to reach saturn from earth. show your work. convert your answer into scientific notation if necessary.

step-by-step explanation:

a.

in miles 365 million miles or 365,000,000

in km, 588 million km or 588,000,000

so

scientific notation=(number less than 10 and greater than or equal to 1) times 10^n

so

we need to move the decimal point 8 spaces to the left

to compensiate for that, we multiply by 10⁸ which will move it 8 to the right

so

365,000,000 mi=3.65 times 10⁸ mi

588,000,000 km=5.88 times 10⁸ km

those are the distances in scientific notation

b.

mercury venus and earth together would be greater than the distance from neptune to the sun   neptune is 2.759 billion miles away from the sun and the three others combined are 196.18 million miles away from the sun 

c.

the earth is approximately 93,000,000 miles from the sun.   if it were 10x further, it would be 930,000,000

that would place it closest to saturn which is about 890,000,00 miles away from the sun.

d.

time = distance/speed. t = 1,200,000,000/28,000. this can be cancelled to 1,200,000/28. rounding 28 to 30 for the estimate, divide by another ten: 120,000. then divide by the remaining 3 from 30: 120,000/3 = 40,000. it will take approximately 40,000 hours.

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!