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Artyom0805 [142]
3 years ago
8

The following table lists the masses, in grams, of the nine planets (including dwarf planet Pluto). Use the data to choose the c

orrect answers in the item below.
Planet Mass (in grams)
Jupiter 1.989 ∙ 1030
Saturn 5.685 ∙ 1029
Neptune 1.024 ∙ 1029
Uranus 8.681 ∙ 1028
Earth 5.974 ∙ 1027
Venus 4.869 ∙ 1027
Mars 6.419 ∙ 1026
Mercury 3.302 ∙ 1026
Pluto 1.31 ∙ 1025
Jupiter has a mass that is approximately times greater than Venus's.
Mathematics
2 answers:
vladimir2022 [97]3 years ago
6 0

Answer:

The answer is 400

Step-by-step explanation:

Marrrta [24]3 years ago
4 0

The ratio between the masses of Jupiter and Venus is

\dfrac{1.989\cdot 10^{30}}{4.869\cdot 10^{27}}

We can separate the coefficient and the powers of ten:

\dfrac{1.989\cdot 10^{30}}{4.869\cdot 10^{27}}=\dfrac{1.989}{4.869}\cdot \dfrac{10^{30}}{10^{27}}

Use the exponent rule

\dfrac{a^b}{a^c}=a^{b-c}

to simplify the powers of 10:

\dfrac{10^{30}}{10^{27}}=10^3

So, the ratio is

\dfrac{1.989}{4.869}\cdot 10^3\approx 0.4\cdot 10^3=400

So, Jupiter has a mass that is approximately 400 times greater than Venus's.

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