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2 years ago

15

The astronomical unit (AU) is the mean distance from the sun to the earth.

2 answers:

Mrac [35]2 years ago

7 0

By definition, we have to
1 AU = 1.5 * 10 ^ 8Km
a comet is 2.3 AU from the earth, which means that we must transform this unit to kilometers.
2.3 AU = (2.3) * (1.5 * 10 ^ 8) = 3.45 * 10 ^ 8km
answer
<span> 3.45 × 10,superscript,8,baseline, km
</span>

zvonat [6]2 years ago

3 0

<span>A. 3.45 x 10^8 km Since 1 AU is 1.5x10^8 and the comet is 2.3 AU away from Earth, the answer is a simple matter of multiplication. So: 1.5x10^8 km * 2.3 = 3.45x10^8 km Of the available options, option "A" matches exactly.</span>

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3 years ago

If one movie ticket cost $15, how much will 5 movie tickets cost

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Step-by-step explanation:

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2 years ago

The projected rate of increase in enrollment at a new branch of the UT-system is estimated by E ′ (t) = 12000(t + 9)−3/2 where E

nexus9112 [7]

Answer:

The projected enrollment is $\lim_{t \to \infty} E(t)=10,000$

Step-by-step explanation:

Consider the provided projected rate.

$E'(t) = 12000(t + 9)^{\frac{-3}{2}}$

Integrate the above function.

$E(t) =\int 12000(t + 9)^{\frac{-3}{2}}dt$

$E(t) =-\frac{24000}{\left(t+9\right)^{\frac{1}{2}}}+c$

The initial enrollment is 2000, that means at t=0 the value of E(t)=2000.

$2000=-\frac{24000}{\left(0+9\right)^{\frac{1}{2}}}+c$

$2000=-\frac{24000}{3}+c$

$2000=-8000+c$

$c=10,000$

Therefore, $E(t) =-\frac{24000}{\left(t+9\right)^{\frac{1}{2}}}+10,000$

Now we need to find $\lim_{t \to \infty} E(t)$

$\lim_{t \to \infty} E(t)=-\frac{24000}{\left(t+9\right)^{\frac{1}{2}}}+10,000$

$\lim_{t \to \infty} E(t)=10,000$

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2 years ago

5) On Saturday morning, the temperature was -19° F. By noon the temperature had risen 6

Alisiya [41]

Answer:

It increased by 12°F between the noon and evening

Step-by-step explanation:

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2 years ago

If you could help I would really appreciate it, but if not that’s fine. Thank you.

dolphi86 [110]

Answer:

3

Step-by-step explanation:

j(2) means that x equals 2...

the first inequality in the function says that x is greater than or equal to 2

the second inequality states that x is greater than 2(not equal to) and is less than or equal to 5

the third one states that x is greater than 5

x applies to the first inequality since we know that x can be equal to 2

Now, to the number before the if

there is a 3 before the if in the first inequality

This means that if x is greater than or equal to 2 the y or the function would equal 3

therefore, j(2) would equal 3

I hope this helps!!!

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3 years ago