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bazaltina [42]
3 years ago
14

The distance between planets in two stellar systems is 1.6x10^6 miles. If a spaceship is able to travel at 8,400 miles per hour,

will it be able to make the journey in under a year? Justify your answer with mathematical reasoning.
Mathematics
1 answer:
emmainna [20.7K]3 years ago
7 0

Answer:

Yes it will be able to make the journey in under a year.

Step-by-step explanation:

To find out how many hours it will take 1.6*10^2 and divide by 8400

\frac{1.6*10^2}{8400} = 190.476 hr

So it will take the space ship 190.476 hours to make the trip.

Next, ask our self, how many hours are in a year?

To find out multiply 365 * 24 = 8760 hr

The 365 = number of day in a year. The 24 = number of hours in a day.

Knowing how many hours there are in a year and how long the trip will take tells us that the journey can be made under a year since there are 8760 hours in a year and we know we can make it there in 190.476 hr traveling at 8400 mph

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Hi ! please help !
tatuchka [14]

Hey there! I was looking at your question for a bit then realized you meant i, the imaginary number, not "1" at the end of each number.

  • Complex numbers are numbers involving both real and imaginary numbers; thus, this question wouldn't make much sense without the imaginary number i

The expression we are given is:

(3+4i)+(8+2i)

Open parenthesis and combine like terms:

=3+4i+8+2i

=11+6i

This is answer choice B (assuming it's supposed to be an i and not a "1" at the end)

Let me know if you need any clarifications, thanks!

~ Padoru

5 0
3 years ago
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Please help
katrin2010 [14]
\dfrac{n^2+3n+2}{n^2+6n+8}-\dfrac{2n}{n+4}\\\\=\dfrac{n^2+2n+n+2}{n^2+4n+2n+8}-\dfrac{2n}{n+4}\\\\=\dfrac{n(n+2)+1(n+2)}{n(n+4)+2(n+4)}-\dfrac{2n}{n+4}\\\\=\dfrac{(n+2)(n+1)}{(n+2)(n+4)}-\dfrac{2n}{n+4}\\\\=\dfrac{n+1}{n+4}-\dfrac{2n}{n+4}=\dfrac{n+1-2n}{n+4}=\dfrac{1-n}{n+4}

Answer:\ \boxed{B.\ \dfrac{1-n}{n+4}}
7 0
3 years ago
If the distance from Haley’s house to school is 2.5 cm on the map and the actual distance is 3 miles. What is the scale for the
Brrunno [24]
To find your answer you divide 3 by 2.5 to get 1.2. The scale for the map is 1.2.

Hope this helps,
<em>♥Nikki♥</em>
(P.S. I'm not completely sure about this so you might want to get a second opinion on this particular question.)
7 0
3 years ago
A mouse traveled a total distance of StartFraction 3 Over 24 EndFraction of a mile in a maze over the past 3 hours. The mouse tr
Artemon [7]

Step-by-step explanation:

It is given that, a mouse covered a distance of 3/24 miles over a distance of 3 hours. Each hour, the mouse traveled the same distance. Distance traveled in 1 hour can be calculated by dividing 3/24 miles by 3. So,

d=\dfrac{\dfrac{3}{24}}{3}\\\\d=\dfrac{3}{24}\times \dfrac{1}{3}\\\\d=\dfrac{1}{24}\ \text{hours}

Matt calculations shows that the distance is 3/8 hours. While dividing 3/24 by 3, he doesn't take reciprocal of 3 as a result he get 9 on numerator and 24 on denominator. Simplified fraction of 9/24 is 3/8. But the correct answer should be 1/24 hours.

3 0
4 years ago
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ASAP PLEASE!
Kitty [74]
Hello!

You divide the total time by the time unit for the slope

54 / 3 = 18

Multiply this by how height the cart goes

4 * 18 = 72

The answer is 72

Hope this helps!
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3 years ago
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