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mihalych1998 [28]
2 years ago
5

Jezebel took a train to visit her uncle. The train traveled at a constant speed of 40 miles per hour. Complete the table.​ Then,

write an equation to find the total distance d traveled after t hours.

Mathematics
2 answers:
PtichkaEL [24]2 years ago
5 0
Multiply 40 by that number so basically y=Mx+b
sergiy2304 [10]2 years ago
4 0

Answer:

[see below]

Step-by-step explanation:

We can tell that for every hour passed the distance traveled by the train would increase by 40 miles.

We can use the equation d = 40t to determine the values of the table. The 'd' is total distance and 't' is the number of given hours.

Two hours:

d = 40(2)

d = 80

Three Hours:

d = 40(3)

d = 120

Four Hours:

d = 40(4)

d = 160

Hope this helps.

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What is 2k-8>-12 in word form
Dmitriy789 [7]

Answer:

k is greater than negative 2 or negative 2 is less than k.

Step-by-step explanation:

2k-8>-12

+8 +8

2k>-4

÷2 ÷2

k>-2

k is greater than negative 2

3 0
3 years ago
1. Se dispara una bala de 10grbcon una velocidad de 500m/s contra un muro de 10cm de espesor. Si la resistencia del muro al avan
vodomira [7]

Answer:

1) La velocidad de la bala después de atravesar el muro es de aproximadamente 435,890 metros por segundo.

2) La potencia del automóvil es 96438,272 watts o 131,208 caballos de vapor.

3) La velocidad del objeto al llegar al suelo es aproximadamente 14,005 metros por segundo.

Step-by-step explanation:

1) La velocidad final de la bala puede determinarse mediante el Teorema del Trabajo y la Energía, a partir del cual se tiene la siguiente fórmula:

\frac{1}{2}\cdot m\cdot v_{o}^{2} -F\cdot \Delta s = \frac{1}{2}\cdot m \cdot v_{f}^{2} (1)

Where:

m - Masa de la bala, en kilogramos.

v_{o}, v_{f} - Velocidades inicial y final de la bala, en metros por segundo.

F - Resistencia del muro al avance de la bala, en newtons.

\Delta s - Espesor del muro, en metros.

Si sabemos que m = 0,01\,kg, v_{o} = 500\,\frac{m}{s}, F = 3000\,N and \Delta s = 0,1\,m, entonces la velocidad final de la bala es:

v_{f}^{2}=v_{o}^{2} -\frac{2\cdot F\cdot \Delta s}{m}

v_{f} = \sqrt{v_{o}^{2}-\frac{2\cdot F\cdot \Delta s}{m} }

v_{f} \approx 435,890\,\frac{m}{s}

La velocidad de la bala después de atravesar el muro es de aproximadamente 435,890 metros por segundo.

2) Asumamos que el automóvil acelera a tasa constante, significando que la fuerza neta será constante. Para un sistema cuya fuerza neta sea constante, la potencia experimentada queda descrita por la siguiente ecuación:

P = m\cdot a(t)\cdot v(t) (2)

a(t) = a (3)

v(t) = v_{o} + a\cdot t (4)

Donde:

P - Potencia, en watts.

m - Masa del automóvil, en kilogramos.

a(t) - Aceleración, en metros por segundo al cuadrado.

v(t) - Velocidad, en metros por segundo.

v_{o} - Velocidad inicial del automóvil, en metros por segundo.

Si sabemos que m = 1000\,kg, a = 3,472\,\frac{m}{s}, v_{o} = 0\,\frac{m}{s} y t = 8\,s entonces la potencia experimentada por el automóvil es:

P = 96438,272\,W (131,208\,C.V.)

La potencia del automóvil es 96438,272 watts o 131,208 caballos de vapor.

3) El cuerpo experimenta un Movimiento de Caída Libre, el cual es un Movimiento Uniformemente Acelerado debido a la gravedad terrestre. La velocidad del cuerpo al llegar al suelo se determina mediante la siguiente fórmula cinemática:

v_{f} = \sqrt{v_{o}^{2}+2\cdot g\cdot h} (5)

Donde:

v_{o} - Velocidad inicial del cuerpo, en metros por segundo.

v_{f} - Velocidad final del cuerpo, en metros por segundo.

g - Aceleración gravitacional, en metros por segundo al cuadrado.

h - Altura recorrida por el cuerpo, en metros.

Si sabemos que v_{o} = 0\,\frac{m}{s}, g = 9,807\,\frac{m}{s^{2}} y h = 10\,m, entonces la velocidad al llegar al suelo es:

v_{f} \approx 14,005\,\frac{m}{s}

La velocidad del objeto al llegar al suelo es aproximadamente 14,005 metros por segundo.

4 0
2 years ago
Find the area of a sector with a central angle of 120° and a diameter of 7.3 cm. Round to the nearest tenth.
Andru [333]

Answer:14cm^{2}

Step-by-step explanation:

diameter=7.3cm

radius=\frac{diameter}{2}

          =\frac{7.3}{2}

          =3.65cm

angle =120°

area=\frac{angle (tita)}{360} × \frac{\pi r^{2} }{1}

=\frac{120}{360} × \frac{22}{7} ×3.65^{2}

=13.95cm^{2}

≅14cm^{2}

6 0
3 years ago
I need someone who will answer all five questions correctly. Give out 100 bonus points for who will answer all 5 correctly
KATRIN_1 [288]

Answer:

The circumference of the yellow circle is 9\pi or 28.27cm^2 approximately, the circumference of the blue circle is 6\pi or 18.85m^2 approximately, the circumference of the green circle is 80\pi or 251.33mm^2 approximately, the circumference of the red circle is 5\pi or 15.71cm^2 approximately, and the circumference of the pink circle is 7\pi or 21.99cm^2 approximately.

Step-by-step explanation:

To find the circumference of a circle, you need to multiply the diameter of the circle and multiply it by \pi. In this case, the circumferences of the yellow circle are 9\pi or approximately 28.27cm^2, the circumference of the blue circle is 6\pi or approximately 18.85m^2, the circumference of the green circle is 80\pi or approximately 251.33mm^2, the circumference of the red circle is 5\pi or approximately 15.71cm^2, and the circumference of the pink circle is 7\pi or approximately 21.99cm^2.

8 0
3 years ago
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kenny6666 [7]
18x+9xy   (9x⋅2)+(9x⋅y   <span>(9x⋅2)+(9x⋅y  You multiply 9x times 2 and then 9x times y.  Because a(b+c) = ab + ac</span>
8 0
3 years ago
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