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ella [17]
2 years ago
10

Rob is making a scale model of the Solar System on the school field. He wants the distance from the Sun to Jupiter to be 8 metre

s on his scale model. The real distance from the Sun to Jupiter is 7.8 × 10 8 kilometres. Find the scale of the model. Give your answer in the form 1 : n , where n is written in standard form.
Mathematics
1 answer:
ANEK [815]2 years ago
3 0

Answer:

1 : 9.75 * 10⁷

Step-by-step explanation:

To find n, we have to divide the real distance by the scale distance. This is 7.8 * 10⁸ / 8 = 0.975 * 10⁸ = 9.75 * 10⁷ which means that the ratio is 1 : 9.75 * 10⁷.

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Answer: 2x^7 -16a^6 +18a^5


Step-by-step explanation: Given expression (a^2)(2a^3)(a^2-8a + 9).

The first factor (a^2) has a degree of : 2 because power of a is 2.

The second factor (2a^3) has a degree of : 3 because power of a is 3.

The third factor (a^2-8a + 9) has a degree of : 2 because highest power of a is 2.

Let us multiply them now:

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First we would multiply (a^2)(2a^3).

According to product rule of exponents, we would add the powers of a.

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(a^2)(2a^3) = 2a^{2+3}= 2a^5

Now, we need to distribute 2a^5 over (a^2-8a + 9)

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