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3 years ago

0.64 to the nearest whole number

Mathematics

2 answers:

-Dominant- [34]3 years ago

8 0

1 because 6 is bigger than 4,if it were 4 or under it would be 0 but it's not so the answer is 1

Makovka662 [10]3 years ago

3 0

A whole number is a number that does not have a decimal point- e.g. 0, 1 2, 3 etc.

When rounding a number, if the number after the one that is being rounded is greater than 4, the number is rounded up. If not, it remains the same:
6 is greater than 4. Therefore, 0 is rounded up to 1.

0.64 rounded to the nearest whole number is 1

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Simplify the expression: (5.2 + 6.8)x - (25 ÷ 5)x

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Answer:

Step-by-step explanation:

(5.2 + 6.8)x - (25 ÷ 5)x

12x-(25divied by 5)x

12x-5x

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Step-by-step explanation:

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Please do elimination method 2x-9y=-36 <br> -14x+18y=-18

Varvara68 [4.7K]

Answer:

The solution to the system of equations will be:

$x=9,\:y=6$

Step-by-step explanation:

Given the system of equations

$\begin{bmatrix}2x-9y=-36\\ -14x+18y=-18\end{bmatrix}$

Multiply 2x-9y=-36 by 7

$14x-63y=-252$

so the system of equations becomes

$\begin{bmatrix}14x-63y=-252\\ -14x+18y=-18\end{bmatrix}$

Adding both equations

$-14x+18y=-18$

$+$

$\underline{14x-63y=-252}$

$-45y=-270$

solve -45y = -270 for y

$-45y=-270$

divide both sides by -45

$\frac{-45y}{-45}=\frac{-270}{-45}$

Simplify

$y=6$

For 14x-63y = -270 plug in y = 6

$14x-63\cdot \:6=-252$

$14x-378=-252$

Add 378 to both sides

$14x-378+378=-252+378$

Simplify

$14x=126$

Divide both sides by 14

$\frac{14x}{14}=\frac{126}{14}$

Simplify

$x=9$

Therefore, the solution to the system of equations will be:

$x=9,\:y=6$

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3 years ago

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

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3 years ago

Write an exponential function to model the following situation.

xxMikexx [17]

Answer:

For 15 years - $110,000(1.04)^{15}$

After 15 years - $110,000(1.04)^{x+15}$

Step-by-step explanation:

We have that,

Initial population is 110,000 which grows by the rate 4% i.e. 0.04 for 15 years.

Since, the exponential growth is given by $P(1+r)^{x}$ ,

where P is the initial population, r is the rate of interest and x is the number of years.

Thus, the required population is $110,000(1+0.04)^{15}$ i.e. $110,000(1.04)^{15}$ .

Moreover, after 15 years i.e. x+15 years, the population will be $110,000(1.04)^{x+15}$ .

Thus, the population after 15 years is $110,000(1.04)^{x+15}$ .

4 0

3 years ago