Which expression represents a negative number?

Answer:

A (1,0)

B (0, -3)

C (-6, 5)

D (-3, -5)

E (-1, 4)

Step-by-step explanation:

Answer:

A (1,0)

B (0,-3)

C (-6,5)

D (-3,-5)

E (-1,4)

Step-by-step explanation:

Answer: 11,700 times

Step-by-step explanation:

First find the number of seconds in 3 minutes 15 seconds.

Each minute is 60 seconds so 3 minutes would be:

= 3 * 60

= 180

Add the 15:

= 195 seconds

Lightning strikes more than 60 times per second so we shall use 60 times

= 60 * 195

= 11,700 times

Answer:

31.2

Step-by-step explanation:

Answer:

13.3

Step-by-step explanation:

Answer:

54degrees

Step-by-step explanation:

Find the diagram attached

Since the angle of the triangle in a semicircle is a right angle, hence <DCB = 90 degrees

Given

<DBC= 36 degrees

Required

<DBC

Since the sum of angles in the triangle DBC is 180 degrees, hence;

<DBC+<DBC+<DCB = 180

<DBC+36+90 = 180

<DBC + 126 = 180

<DBC = 180 - 126

<DBC = 54degrees

Hence the measure of angle DBC is 54degrees

Answer:

0.3

Step-by-step explanation:

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

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

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.

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Answer:

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

Answer:

The parabola has an absolute minimum and its vertex is located at (1, 7).

Step-by-step explanation:

Since the directrix is below the focus, we infer that parabola has an absolute minimum, where there is a vertex, which is the midpoint of the line segment between (1, 10) and (1, 4). By definition of midpoint, we conclude that vertex is located at (1, 7).

Answer:

(3,0)

Step-by-step explanation:

KHAN

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: 87

Step-by-step explanation:

Answer: a^+b^2=n^2

Step-by-step explanation:

The equation for triangle 2 will be: a² + b² = n².

What is Pythagorean theorem?

Pythagorean theorem states that for a right-angle triangle, the sum of the squares of the base and the height is equal to the square of the hypotenuse of that triangle.

Here, the angle between side: a and side: b is a right-angle.

Therefore, we can consider side: a as the height and side: b as the base of the triangle.

Therefore we can write as per the Pythagorean theorem:

(Base)² + (Height)² = (Hypotenuse)²

Hence, a² + b² = n²

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Answer:

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

Answer:

Step-by-step explanation:

there  were 370 children in the swimming pool

Answer:

160/9  or approx 17.78

Step-by-step explanation:

64-32=32

(32*5)/9

160/9 or approx 17.78

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:

Step-by-step explanation:

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:

Mean 

4

Median 

5

Mode

1, 6

Range

6

Step-by-step explanation:

Salute.

Answer: 7,720

The answer is 7,720! got the question correct with it

Answer:

8.5%

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

Answer: 6

Step-by-step explanation:

6

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:

A

Step-by-step explanation:

Area of a circle = [tex]A = \pi r^{2} \\[/tex]

R = 1/2 diameter

R = 14 / 2 = 7

A = π(7)²

A = 153.86

Answer:

a

Step-by-step explanation:

Step-by-step explanation:

Hi,

63 = 5x + 18 represents this situation.

63 = 5x + 18

45 = 5x

9 = x

So, the possible number of mins are 1, 2, 3, 4, 5, 6, 7, 8, and 9.

You can also write this as x ≤ 9

I hope this helps :)

Answer:

[tex]\sin \theta = 0.153[/tex], [tex]\cos \theta = 0.988[/tex], [tex]\tan \theta = 0.155[/tex], [tex]\cot \theta = 6.462[/tex], [tex]\sec \theta = 1.012[/tex], [tex]\csc \theta = 6.538[/tex]

Step-by-step explanation:

Let be the point [tex](x,y)[/tex], the six trigonometric functions of the angle are represented by following formulas:

[tex]\sin \theta = \frac{y}{\sqrt{x^{2}+y^{2}}}[/tex] (1)

[tex]\cos \theta = \frac{x}{\sqrt{x^{2}+y^{2}}}[/tex] (2)

[tex]\tan \theta = \frac{\sin \theta}{\cos \theta} = \frac{y}{x}[/tex] (3)

[tex]\cot \theta = \frac{1}{\tan \theta} = \frac{x}{y}[/tex] (4)

[tex]\sec \theta = \frac{1}{\cos \theta} = \frac{\sqrt{x^{2}+y^{2}}}{x}[/tex] (5)

[tex]\csc \theta = \frac{1}{\sin \theta} = \frac{\sqrt{x^{2}+y^{2}}}{y}[/tex] (6)

If we know that [tex]x = 84[/tex] and [tex]y = 13[/tex], then the values of the six trigonometric functions is:

[tex]\sin \theta = \frac{y}{\sqrt{x^{2}+y^{2}}}[/tex]

[tex]\sin \theta = 0.153[/tex]

[tex]\cos \theta = \frac{x}{\sqrt{x^{2}+y^{2}}}[/tex]

[tex]\cos \theta = 0.988[/tex]

[tex]\tan \theta = \frac{y}{x}[/tex]

[tex]\tan \theta = 0.155[/tex]

[tex]\cot \theta = \frac{x}{y}[/tex]

[tex]\cot \theta = 6.462[/tex]

[tex]\sec \theta = \frac{\sqrt{x^{2}+y^{2}}}{x}[/tex]

[tex]\sec \theta = 1.012[/tex]

[tex]\csc \theta = \frac{\sqrt{x^{2}+y^{2}}}{y}[/tex]

[tex]\csc \theta = 6.538[/tex]

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