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Elanso [62]
2 years ago
7

Does anyone understand 1 or 2? Please answer

Mathematics
1 answer:
telo118 [61]2 years ago
8 0

Answer:

See below

Step-by-step explanation:

You need to create an equation that will give you the results with the correct units of measurement that they are asking for.  In the first question, they are asking you to give the answer in seconds.  So when you set up your equation, seconds have to be on the top.  The way to think of this is to actually reword the statement they give you by saying in 1 second, light travels 3 x 10 to the 8th power which is 3 with 8 zeros after it.  Then it's easier to set up the equation as below.  The distance from the Sun to Mars is 230,000,000,000 meters which is the same as saying 2300 x 10 to the 8th power.  Notice I counted 8 of the zeros and used that in the exponent but left the rest as part of the original number.  This will make it easier since you are dealing with two number that have exponents raised to the same power of 8.

   1 sec          2300 x 10⁸ m

--------------  X  --------------------  =

 3 x 10⁸ m             1

When you look at this equation it looks difficult but since both the top number and bottom number are exponents raised to the same power, they cancel each other out.  So you can drop the exponent all together and just divide the top number by the bottom number  2300 ÷ 3 which equals 766 seconds.

The second question needs you to take the distant the Sun is from Earth and subtract that from the distance from the Sun to Mars.  By subtracting those two, it will tell you how far Mars is from the Earth.  You can change the numbers a little bit to make it easier on you.  Again you want the exponent for both numbers to be the same to make it easier.  When you subtract two number with the exact same exponent, you can just subtract the number and then use that same exponent as part of your answer.

The distance between the Sun and Mars is 23 with 10 zeros after it.  So that is the same as writing 23 x 10¹⁰.  The distance from the Sun to Earth is said to be 1.5 x 10¹¹ but that is a different exponent.  So if you move the decimal on this number one place to the right, it will be 15 x 10¹⁰.  Now you can easily subtract those numbers without worrying about the exponent since they are the same.

23-15 =8  but now you have to put the exponent back on.  So your answer ends up being

8 x 10¹⁰  or 8 with 10 zeros or 80,000,000,000 meters.

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Write a translation rule that maps point D(7, −3) onto point D'(2, 5).
12345 [234]

Answer:

The translation rule is described by D'(x,y) =(x-5,y+8).

Step-by-step explanation:

According to Linear Algebra, a translation consists in sum a given vector (original point in this case) with another vector (translation vector). We can define translation as follows:

D'(x,y) = D(x,y) +U(x,y) (Eq. 1)

Where:

D(x,y) - Original vector with respect to origin, dimensionless.

D'(x,y) - Translated vector with respect to origin, dimensionless.

U(x,y) - Translation vector with respect to original vector, dimensionless.

From (Eq. 1) we get that translation vector is:

U(x,y) = D'(x,y)-D(x,y)

If we know that D(x,y) = (7,-3) and D'(x,y) =(2,5), then the translation vector is:

U(x,y) = (2,5)-(7,-3)

U(x,y) = (-5,8)

And we find the translation rule by assuming that D(x,y) = (x,y) and U(x,y) = (-5,8) in (Eq. 1):

D'(x,y) = (x,y)+(-5,8)

D'(x,y) =(x-5,y+8)

The translation rule is described by D'(x,y) =(x-5,y+8).

5 0
3 years ago
Aaron’s age is three years less than Devon‘s age the sum of their ages is 31 find each of their ages
Goryan [66]
  • Answer:

<em>Aaron 14 years</em>

<em>Devon 17 years</em>

  • Step-by-step explanation:

<em>D = A + 3</em>

<em>D + A = 31</em>

<em>replace D</em>

<em>A + 3 + A = 31</em>

<em>2A = 31 - 3</em>

<em>2A = 28</em>

<em>A = 14 years</em>

<em>D = 17 years</em>

6 0
3 years ago
Calvin goes shopping over the weekend and buys a new pair of shoes,a T-Shirt, a pair of sunglasses, and a hat that costs $9. The
Angelina_Jolie [31]

Answer:

I got you :)

Step-by-step explanation:

okay so if the hat is 9$ there is only 56$ left . it says the shoes are twice as much as the shirt , so i just went in and seen how much ill have left if i split it all. So i said 32$ for the shoes , because half of 32$ for shoes would mean 16$ for the shirt which would be 48. Then it says the sunglasses are half as much as the shirt and half of 16 is 8. When we add 32+16+8+9 we get 65$.

4 0
3 years ago
The following is a model showing the solution to an equation. x - 34 = 13 x - 34 + 34 = 13 + 34 x = 47 What property of equality
yanalaym [24]

Answer:

B.) Addition*Additive property of equality

Step-by-step explanation:

You add 34 to both sides of the equation to find what x was equal to

Hope I helped

8 0
3 years ago
90 to the nearest tenth
melamori03 [73]

Answer:

90

Step-by-step explanation:

<em>Hey there!</em>

Well 90.000 to the nearest tenth is just 90 because there is no decimal places to round.

<em>Hope this helps :)</em>

7 0
3 years ago
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