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Kamila [148]
3 years ago
10

The orbital period, P, of a planet and the planet’s distance from the sun, a, in astronomical units is related by the formula P=

a^3/2.
If Saturn’s orbital period is 29.5 years, what is its distance from the sun?
Mathematics
2 answers:
sweet [91]3 years ago
4 0
Hello,

a^3/2=29.5
==>a=29.5^2/3
==>a=9.5473170...AU
in reality: 9.5388..AU (astronomic unit)
Elodia [21]3 years ago
3 0

Answer: 9.54731702 astronomical units


Step-by-step explanation:

Given: The orbital period, P, of a planet and the planet’s distance from the sun, a, in astronomical units is related by the formula P=a^{\frac{3}{2}.

Saturn’s orbital period P = 29.5 years

Substitute this value in the equation above, we get

29.5=a^{\frac{3}{2}}\\\Rightarrow(29.5)^{\frac{2}{3}}=a\\\Rightarrow\ a=9.54731702\text{ astronomical units}

Hence, its distance from the sun = 9.54731702 astronomical units.

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Each bag of rocks for an aquarium costs $12.35. Which equation best represents y, the total cost of x bags of rocks?
ladessa [460]

Answer:

The equation is

y = $ 12.35 x

Step-by-step explanation:

Cost of one bag of rocks = $ 12.35

Let there are x bags of rocks, so that the total cost is y.

So, the cost of 1 bag = $ 12.35

cost of x bags = $12.35 x

The total cost is

y = $12.35 x

It is the equation of a straight line which passes from origin and the slope is 12.35.

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2 years ago
Delta math help? I'm stuck please this is very urgent!!!
Airida [17]

Answer:

the vertex is (-7,-90)

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eccentricity;1

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Step-by-step explanation:

4 0
3 years ago
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If Free Yer Assets Bank (FYAB) will give you 0.25% compounded quarterly and I.M.A.Q.T.π bank will give you 0.23% interest compou
ivann1987 [24]

Answer:

FYAB gives a better deal.

Step-by-step explanation:

Compound interest:

A = P(1 + \dfrac{r}{n})^{nt}

Continuously compounded interest:

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1.000625^{4t} = 2

\log (1.000625^{4t}) = \log 2

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t = \dfrac{\log 2}{4\log 1.000625}

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For the continuously compounded interest, r =0.23%

A = Pe^{rt}

2P = Pe^{0.0023t}

2 = e^{0.0023t}

\ln 2 = \ln e^{0.0023t}

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The continuously compounded doubles in 301 years.

Answer: FYAB gives a better deal.

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3 years ago
Which expression will you generate if you combine the like terms in 5x + 6x + y + y + 3y + 4 + 6 + 2?
Anika [276]

Answer:

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y, y, and 3y all have the letter y. You can imagine y to be 1y, they're the same.

1y + 1y + 3y = 5y

4, 6, and 2 don't have any letters. 4 + 6 + 2 = 12

Now you have to put all the final terms together to get: 11x + 5y +12

Step-by-step explanation:

4 0
3 years ago
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(3x^2+3)(4+x^3) what the polynomial ?
Ludmilka [50]
<span>(3x^2+3)(4+x^3)
=</span><span>12x^2 +3x^5 + 12 + 3x^3
= </span>3x^5 + 3x^3 + 12x^2 + 12
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