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Anna71 [15]
3 years ago
11

15 decreased by the product of 9 and a number is 12

Mathematics
1 answer:
hram777 [196]3 years ago
4 0
15 - (9x) = 12
-9x = -3
x = 3/9 = 1/3
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315

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Se golpea (chuta) un balón sobre el piso y sale dando botes parabólicos cada vez menores. Si se lanzo inicialmente con una veloc
Ipatiy [6.2K]

Answer:

a)d = 180,91 m

b)t = 11,76 seg

Step-by-step explanation:

Para el lanzamiento de proyectil, la ecuación que nos da la velocidad en V(y) es:

V(y)  = Voy - g*t

en donde Voy = Vo * senα    ( donde Vo es la velocidad inicial, α el angulo del disparo.

Si en esta ecuación hacemos V(y) = 0 estamos en el punto donde el componente en el eje y de la velocidad del proyectil es cero, ese punto es el punto medio del recorrido.

0 =  Vo*sen 60⁰     - g*t

g*t  =  Vo* √3/2

t  = { 32 [m/s] * √3 }2*9,8 [m/s²]

t = 16*√3  / 9,8

t = 2,8278 seg

El tiempo total del primer recorrido es entonces por simetría

t₁ = 2 * 2,8278           t₁  = 5,6556 seg

La distancia del primer impacto al suelo es:

x = Vox * t₁                        ( Vox es constante   Vx = Vo*cos 60⁰ )

x  =  32 * (1/2) * 5,6556

x₁  =  90,49 m

Aplicando los mismos criterios ahora para el segundo bote

Ahora Vo = 32 -  32*(1/4)

V = 24 m/s

g*t  =  24 * sen 50⁰

t =  24* 0,7660/ 9,8  

t =  1,8759

2*t  = 2*1,8759

t₂  = 3,7518 seg

x₂  =  Vox * t₂

x₂  =  24* 0,6428*3,7518

x₂  =  57,88 m

Y para el tercer bote Vo =  24 - 24(1/4)        Vo = 18 m/s     α = 40⁰

t = 18 *0,6428/9,8

t  = 1,18

2t  = t₃  = 2*1,18

t₃ = 2,36 seg

x₃  = Vox * 2,36                Vox = Vo*cos 40      Vox = 18*0,7660  

Vox = 13,79

x₃  = 13,79*2,36

x₃  = 32,54 m

La distancia total será

d = x₁  + x₂ + x₃

d  =  90,49  + 57,88 + 32,54

d = 180,91 m

y el tiempo total será la suma de los tiempos

t =  t₁  +  t₂  +  t₃

t  = 5,65 + 3,75 + 2,36

t = 11,76 seg

8 0
3 years ago
3) Prove that there is ann ∈ N such that 0.001 ∉ (0,1/n). (Hint: findsuch an n.)
Greeley [361]

Answer:

10000

Step-by-step explanation:

0.001 = 1/1000

so, we take an n bigger than 1000, let's say 10000, then 1/1000 > 1/10000 and 1/1000 ∉ (0, 1/10000).

6 0
2 years ago
The value of x is and the value of y is
storchak [24]
Since the slope is 2/3, for every time the x-value increases by 1
the y-value increases by 2/3. 

The answer to x is found by finding the difference between 3 and 5, which is 2.
2/3 goes into that 3 times. 
So subtract 2 from -2 to get -4. 
The x-value is -4. 

The answer for the y-value is given earlier: 
the original point of (-2,5). 
The y-value is 5. 

Hope this helps!
6 0
3 years ago
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