20. CHEMISTRY The nucleus of a certain atom is 10-13 centimeters across. If the
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D) 54
Step-by-step explanation:
input f(4) into x
f(x) = x² + 8x + 6
f(4) = (4)² + 8(4) + 6
f(4) = 16 + 32 + 6
f(4) = 54
Part B - Question 1
Distance for the spacecraft to travel from Venus to Jupiter = Distance of Jupiter from Sun - Distance of Venus from Sun
⇒ Distance for the spacecraft to travel from Venus to Jupiter = 4.838 × 10⁸ - 6.724 × 10⁷
⇒ Distance for the spacecraft to travel from Venus to Jupiter = 483,800,000 - 67,240,000
⇒ Distance for the spacecraft to travel from Venus to Jupiter = 416,560,000
⇒ Distance for the spacecraft to travel from Venus to Jupiter = 4.1656 × 10⁸
Part B - Question 2
Combined distance of Mercury, Venus, and Earth from the Sun = Distance of Mercury from Sun + Distance of Venus from Sun + Distance of Earth from Sun
⇒ Combined distance of Mercury, Venus, and Earth from the Sun = 5.7909 × 10⁷ + 6.724 × 10⁷ + 9.296 × 10⁷
⇒ Combined distance of Mercury, Venus, and Earth from the Sun = 21.8109 × 10⁷
⇒ Combined distance of Mercury, Venus, and Earth from the Sun = 2.18109 × 10⁸
Distance of Neptune from the Sun = 2.793 × 10⁹
Hence, we can see that the combined distance of Mercury, Venus and Earth from the Sun is <u>less</u> than that of Neptune from the Sun.
Part B - Question 3
If Earth was 10 times farther away from the sun, then the new distance between the Sun and the Earth = 10 × 9.296 × 10⁷
⇒ New distance between the Sun and the Earth = 9.296 × 10⁸
Now, the Earth will be closest to Saturn, which is 8.907 × 10⁸ away from the Sun
New Distance between Earth and Saturn = Distance of Earth from Sun - Distance of Saturn from Sun
⇒ New Distance between Earth and Saturn = 9.296 × 10⁸ - 8.907 × 10⁸
⇒ New Distance between Earth and Saturn = 0.389 × 10⁸
⇒ New Distance between Earth and Saturn = 3.89 × 10⁷ (in scientific notation)
⇒ New Distance between Earth and Saturn = 38,900,000 (in standard notation)
Part B - Question 4
Speed of space shuttle = 28,000 km per hour
Time spent to travel from Saturn to Earth =
⇒Time spent to travel from Saturn to Earth =
⇒Time spent to travel from Saturn to Earth =
⇒Time spent to travel from Saturn to Earth =
⇒Time spent to travel from Saturn to Earth = 28,490.7 hours
⇒Time spent to travel from Saturn to Earth = 28,491 hours
Hence, it will take 28,491 hours or 2.8491 x 10⁵ hours for the space shuttle to travel from Saturn to Earth.