Jonas is planning out his route for an upcoming race. He uses negative numbers to represent points before the finish line and positive numbers to represent points after the finish line. On Jonas's map, there is a bridge at -91 \dfrac34−91 4 3 ​ minus, 91, start fraction, 3, divided by, 4, end fraction meters, and his wife is watching him at 14 \dfrac1214 2 1 ​ 14, start fraction, 1, divided by, 2, end fraction meters. What does 000 meters represent? Choose 1 answer: Choose 1 answer:

N = 5^(10) × 2^(14) × 3

This is about prime factors

By definition, a prime factor is a factor of a number and that factor is also a prime number.

A prime number is one that is divisible by only itself and 1.

The number we have is; 480 × 10^(9)

Now, let's list the prime factors or 480 and they are;

2, 3, 5

Now, using these prime factors alone to get 480, we have;

5 × 3 × 2 × 2 × 2 × 2 × 2 = 480

In powers, gives;

5 × 3 × 2^(5)

Now,the 10^(9) with the 480 can also be expressed in terms of it's prime factors which are 2 and 5 as;

(5 × 2)^(9)

Expanding this gives; 5^(9) × 2^(9) = 10^(9)

Thus;

480 × 10^(9) = 5 × 3 × 2^(5) × 5^(9) × 2^(9)

This gives;

5^(10) × 2^(14) × 3

Read more at; brainly.com/question/4853862

Answer:

I got 5^10 x 2^14 x 3

Step-by-step explanation:

1. Do a tree to find 480 as a product of its prime factors

2. You should get 480= 5x2x3x2x2x2x2

3. 10 expressed as a product of its prime factors is 5x2

4. so 10^9 expressed as a product of its prime factors would be

5x2x5x2x5x2x5x2x5x2x5x2x5x2x5x2x5x2

5. You can then write out 480x10^9 as a product of its prime factors

5x2x3x2x2x2x2x5x2x5x2x5x2x5x2x5x2x5x2x5x2x5x2x5x2

6. change this to use powers

5^10 x 2^14 x 3

Answer:  The required intersection is the line 'VS'.

Step-by-step explanation:  We are given to find the intersection of the planes WZVS and plane STUV.

We know that,

If two planes intersect each other, then their intersection is a straight line.

As shown in the given figure, the point 'V' and 'S' lie on both the planes WZVS and STUV.

So, the line joining these two points, i.e., the line VS also lie on both the planes.

Therefore, the intersection of both the planes is the line 'VS'.

Thus, the required intersection is the line  'VS'.

Answer:

  8x +12

Step-by-step explanation:

The outside factor is applied to each term inside parentheses:

  4(2x +3) = 4(2x) +4(3) = 8x +12

To simplify this expression, we should use the Distributive Property.

It states that

a(b+c)=ab+ac

Let's use it:

4(2x+3)

8x+12

That's the answer.

Answer:

A

Step-by-step explanation:

We can see that:

- Shape B has just been translated down (moving down a couple of squares)

- Shape C has been rotated 90° clockwise