simplify 4^3 x 4^5 a. 16x15 b. 16^8 c. 4^15 d. 4^8

Answer:

Step-by-step explanation:

there  were 370 children in the swimming pool

Answer: 87

Step-by-step explanation:

Answer:

x+y=z

4+9=13

Step-by-step explanation:

x=4

2(4)+1=y=9

4+9=13

Answer:

1. The mean is 55.83

2. when n2=81 then n=40.5

3. when -4n=16 then n = -4

Step-by-step explanation:

1. you add all the numbers together then divide the sum by 6

2. divide both sides by 2

3. divide both sides by -4

Answer:

The answer is A. because (2)8 is bigger than (-2)'6

Answer:

Mean 

4

Median 

5

Mode

1, 6

Range

6

Step-by-step explanation:

Salute.

Answer:

160/9  or approx 17.78

Step-by-step explanation:

64-32=32

(32*5)/9

160/9 or approx 17.78

Pregunta completa:

1. La empresa transporta 198 toneladas de cable de acero, desde la ciudad de Arequipa hasta Cuzco, utilizando el servicio de dos camiones, donde la capacidad del camión “A” es de 9 toneladas y la capacidad del camión “B” es de 2/3 de la capacidad del camión “A”, si se realizaron un total de 27 viajes, responda las siguientes preguntas:

a) ¿Cuántos viajes hizo cada camión?

b) ¿Cuántas toneladas de cable metálico transportó el camión de mayor capacidad?

c) ¿Qué parte del total de toneladas transportadas corresponde al camión de menor capacidad?

d) Suponiendo que deba recibir una factura por el servicio de transporte, ¿cómo se debe completar la factura?

Considere la siguiente tarifa de transporte por viaje.

Respuesta:

Camión A = 12 viajes

Camión B = 15 viajes

Camión A = 108 toneladas

Camión más pequeño = 90 toneladas = 5/11 del total de toneladas

Camión A = 13230

Camión B = 11036.25

Explicación paso a paso:

Capacidad del camión A = 9 toneladas

Capacidad del camión B = 2/3 * 9 = 6 toneladas

Total viajes realizados = 27

Toneladas totales de cable de acero a transportar = 198

Sea el número de viajes realizados por

Camión A = a; Camión B = b

a + b = 27 ____ (1)

9a + 6b = 198 __ (2)

Den (1)

a = 27 - b

Ponga un en (2)

9 (27 - b) + 6b = 198

243 - 9b + 6b = 198

243 - 3b = 198

-3b = - 45

b = 45/3

b = 15

a = 27 - 15

a = 12

El camión A tiene la mayor capacidad = 12 viajes * 9 toneladas por viaje = 108 toneladas

Toneladas transportadas por camión de menor capacidad = 15 viajes * 6 toneladas = 90 toneladas

90 toneladas / 198 toneladas = 5/11 del total de toneladas

Tarifa por viaje:

Camión “A” S / .1102,5

Camión “B” S / .735,75

Por eso,

Camión A = 1102.5 * 12 = 13230

Camión B = 735,75 * 15 = 11036,25

Answer:

1) x = 50 m

2) Max area = 22500 m²

3) Max area of each pen = 1500 m²

4) y = 150 m

5) dimensions of pen are 50m and 30m

6) Graph is attached

Step-by-step explanation:

Area of a rectangle is length × width

Let length be y and let width be x

Thus;

A = xy

Fencing material is 600m

Thus,perimeter = 600

Perimeter is; P = 6(length) + 2(width)

Thus;

600 = 6x + 2y

y = (600 - 6x)/2

y = 300 - 3x

Thus,

A = x(300 - 3x)

A = -3x² + 300x

We can see that the coefficient of x² is negative. This means that the parabola will open downward and has a maximum value at the vertex.

The vertex formula is;

x = -b/2a

a = -3

b = 300

Thus;

x = -300/(2 × -3)

x = 50 m

Since y = 300 - 3x, then;

y = 300 - 3(50)

y = 150 m

Maximum area of entire garden = xy = 50 × 150 = 7500 m²

There are 5 pens, thus;

Max area of each pen = max area of entire garden/5 = 7500/5

Max area of each pen = 1500 m²

Dimensions of each pen will be;

x and y/5

>> x = 50 m and y/5 = 150/5 = 30m

Answer:

One way to check is 102 ÷ 6 = 17 is 100 ÷ 5 = 20. 

Answer:

letter a

Step-by-step explanation:

Step-by-step explanation:

7.B

8.C

9.A

10.D

.......

Answer:

(3,0)

Step-by-step explanation:

KHAN

Answer:

theta=67.975 deg

Step-by-step explanation:

I hope that it's a correct answer.

Good luck.

Answer:

I'm pretty sure its A /5

Answer:

0.3

Step-by-step explanation:

the small quare is 90 so do 21/60/9=

Answer:

192

Step-by-step explanation:

you take 12 and multiple it by 16:

R12×16=R192

The slope of the lines remains the same. Then the equation of the parallel line that is passing through the point (6, 9) is 2x - 3y + 15 = 0.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The equation of a line L is 2x-3y = 6

The slope of the line is 2/3.

Then the equation of the line which is parallel to L and passes through the point (6,9) will be

The slope of the lines remains the same. Then the equation of the line will be

[tex]\rm y = \dfrac{2}{3}x + c[/tex]

Then the line is passing through (6, 9), then we have

[tex]\rm 9= \dfrac{2}{3}(6) + c\\\\c = 5[/tex]

Then the equation of the parallel line will be

[tex]\begin{aligned} y &= \dfrac{2}{3}x + 5\\\\2x - 3y &=-15 \end{aligned}[/tex]

More about the linear system link is given below.

https://brainly.com/question/20379472

Answer:

x=24.9

Step-by-step explanation:

Use pythagoras theorem to find half of x which is 12.45 then multiply by 2 to get x

Answer:

As 7.0 is the same as seven, 0.00007 written in scientific notation is seven multiplied by 10 to the power of negative five.

Step-by-step explanation:

Answer:7x10 ^-5

Step-by-step explanation:

Answer:

2 because it holds the same value as -2 and its the additive inverse

Answer:

22 feet

Step-by-step explanation:

A=lw

28=l(4)

7=l

P=2l+2w

P=2(7)+2(4)

P=14+8

P=22

Hope it helped! (:

Answer:

The perimeter of the rug is 22.

Step-by-step explanation:

The formula for perimeter of a rectangle is side + side + side + side .

The width of the rug is 4 and the length of the rug is 7.

And 4 + 4 + 7 + 7 = 22.

Answer: I think the red one I am not 100%

Step-by-step explanation:

Answer:

[tex]y=2(\frac{1}{3})^x[/tex]

Step-by-step explanation:

Let the equation of the given exponential function is,

y = a(b)ˣ

Graph of the given exponential function passes through (0, 2) and (-1, 6)

For a point (0, 2),

2 = a(b)⁰

a = 2

For another point (-1, 6),

6 = 2(b)⁻¹

3 = b⁻¹

b = [tex]\frac{1}{3}[/tex]

Therefore, equation of the exponential function will be,

[tex]y=2(\frac{1}{3})^x[/tex]

The coordinate of the vertex of the parabola is option (C) (1,-2) is the correct answer.

The set of all points in a plane that are equidistant from a fixed line and a fixed point (not on the fixed line) in the plane is a parabola. The fixed line is the ‘directrix’ and the fixed point is the ‘focus’. The point of intersection of the parabola with the axis is the vertex.

For the given situation,

The equation of parabola is [tex](x-1)^2=12(y+2)[/tex] ------ (1)

The diagram below shows the parabola and the vertex of the equation of parabola.

The general form of the equation of parabola is

[tex](x-h)^{2} =4a(y-k)[/tex]

Here the vertex is (h,k)

Now compare the equation 1 with this general form, we get

⇒ [tex]h=1[/tex] and [tex]k=-2[/tex]

Hence we can conclude that the coordinate of the vertex of the parabola is option (C) (1,-2) is the correct answer.

Learn more about equation of the parabola here

https://brainly.com/question/20333425

#SPJ2

Given:

Leon had 84 paper clips.

He gave [tex]\dfrac{3}{4}[/tex] of them to Joe.

Joe gave [tex]\dfrac{2}{7}[/tex] of what he received to Justin.

To find:

How many paper clips did Justin get?

Solution:

Leon had 84 paper clips and he gave [tex]\dfrac{3}{4}[/tex] of them to Joe.

Number of paper clips Joe has = [tex]\dfrac{3}{4}\times 84[/tex]

                                                    = [tex]63[/tex]

Joe gave [tex]\dfrac{2}{7}[/tex] of what he received to Justin.

Number of paper clips Justin has = [tex]\dfrac{2}{7}\times 63[/tex]

                                                       = [tex]18[/tex]

Therefore, Justin has 18 paper clips.

Answer:

-1 is greater than -2 because the further left of the number line from zero you go the smaller the number gets

Step-by-step explanation:

Answer:

-2 is smaller than -1

Step-by-step explanation:

Answer:

1/9

Step-by-step explanation:

Subtract them

5/9-4/9=1/9 Answer