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aniked [119]
3 years ago
15

The y-value is two more than three times the x-value

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
8 0
The strategy for these is to look at what these problems are telling you.

It says the y-value, so you know that this is a y = equation.

y = what? 

y = 2 more than. 4 is two more than 2, right? So saying it's more than is another way of saying "y is 2 + blah blah."

So y = 2 + what? Three times the x-value. What does that mean? 3*X = 3X.

Thus we arrive at the final answer, y = 3x + 2
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De acuerdo con la tercera ley de movimiento planetario de Kepler, la masa de un planeta es directamente proporcional al cubo de
Sunny_sXe [5.5K]

Answer:

La masa del Sol es 2.509\times 10^{31} kilogramos.

Step-by-step explanation:

Tras una lectura cuidadosa al enunciado, tenemos que la Tercera Ley de Kepler queda descrita por la siguiente relación:

M \propto \frac{r^{3}}{T^{2}}

M = k\cdot \frac{r^{3}}{T^{2}} (Eq. 1)

Donde:

r - Distancia entre los centros del planeta y el satélite, medido en kilómetros.

T - Período oribital del satélite, medido en días.

k - Constante de proporcionalidad, medida en kilogramo-días cuadrados por kilómetro cúbico.

M - Masa del planeta, medida en kilogramos.

Podemos obtener la masa del Sol mediante la siguiente relación:

\frac{M_{S}}{M_{E}} = \frac{\frac{r_{E}^{3}}{T_{E}^{2}} }{\frac{r_{M}^{3}}{T_{M}^{2}} }

\frac{M_{S}}{M_{E}} = \left(\frac{T_{M}}{T_{E}} \right)^{2}\cdot \left(\frac{r_{E}}{r_{M}} \right)^{3} (Eq. 2)

Donde:

T_{M}, T_{E} - Períodos orbitales de la Luna y la Tierra, medidos en días.

r_{E}, r_{M} - Distancias entre la Tierra y el Sol, así como entre la Luna y la Tierra, medidas en kilómetros.

M_{S}, M_{E} - Masas del Sol y la Tierra, medidos en kilogramos.

Si M_{E} = 75.97\times 10^{24}\,kg, T_{E} = 365.3\,d, T_{M} = 27.3\,d, r_{M} = 3.84\times 10^{5}\,km y r_{E} = 1.496\times 10^{8}\,km, entonces tenemos que la masa del Sol es:

M_{S} = \left(\frac{T_{M}}{T_{E}} \right)^{2}\cdot \left(\frac{r_{E}}{r_{M}} \right)^{3}\cdot M_{E}

M_{S} = \left(\frac{27.3\,d}{365.3\,d} \right)^{2}\cdot \left(\frac{1.496\times 10^{8}\,km}{3.84\times 10^{5}\,km} \right)^{3}\cdot (75.97\times 10^{24}\,kg)

M_{S} = 2.509\times 10^{31}\,kg

La masa del Sol es 2.509\times 10^{31} kilogramos.

7 0
3 years ago
Sue is upholstering a rectangular ottoman that measures 21 centimeters by 18 centimeters by 15 centimeters. What will be the tot
Anika [276]

Answer:

1926cm²

Step-by-step explanation:

Given

Dimension = 21cm by 18cn by 15cm

<em>The illustration in this question is to determine the surface area of the fabric and this is calculated using the surface area of a cuboid as follows:</em>

<em></em>

Surface\ Area =2(LB + LH + BH)

Where L, B and H are the dimensions.

So,

Surface\ Area = 2(21 * 18 + 21 * 15 + 18 * 15)

Surface\ Area = 2(378 + 315 + 270)

Surface\ Area = 2(963)

Surface\ Area = 2 * 963

Surface\ Area = 1926cm\²

<em>Hence, 1926 cm² of fabrics are needed to cover all surfaces.</em>

6 0
3 years ago
51/68 in simplest form
yanalaym [24]

Answer:3/4

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
An appliance store sells an oven for 25% off the original price. The sale price is $251.85, not including tax. What is the price
never [62]
$335.8
Take 251.85/75 and you get 3.358, multiply by 100 and you get your answer
5 0
2 years ago
Aight ok so if i got two ducks and and i take one how munch is left
vichka [17]

Answer:

1

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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