A toy rocket is launched from a platform that is 48 feet high. The rocket’s height above the ground is modeled by h = -16t 2+ 32t + 48. a. Find the maximum height of the rocket.

Step-by-step explanation:

Answer:

it's b on edge

Step-by-step explanation:

Answer:

0.3

Step-by-step explanation:

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

Answer:

160/9  or approx 17.78

Step-by-step explanation:

64-32=32

(32*5)/9

160/9 or approx 17.78

Answer:

BAC=15

Step-by-step explanation:

angle BOA= 180-30= 150

triangle BAO is   isosceles because it has two equal sides, radii of a circumference so the angles ABO=BAO=(180-150)/2=15

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:

8.5%

Step-by-step explanation:

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:

The equation of the circle is;

(x - [(-1))² + (y - [7])² = 8

Step-by-step explanation:

The given coordinates of the points P and Q are;

P = (-3, 5) and Q = (1, 9)

To find the equation of the circle that has segment PQ as a diameter

The equation of a circle is (x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center of the circle

r = The radius of the circle

Given that segment PQ is the diameter of the circle, we have;

The center of the circle, O = The midpoint of PQ

The coordinates of the midpoint of segment PQ, O = ((-3 + 1)/2, (5 + 9)/2) = (-1, 7)

∴ The coordinates of the center of the circle, O = The coordinates of the midpoint of segment PQ = (-1, 7)

Therefore;

h = -1, k = 7

From PQ = The diameter of the required circle, we also have;

The length of PQ = 2 × (The radius of the circle) = 2 × r

The length of segment PQ = √((1 - (-3))² + (9 - 5)²) = √32 = 4·√2

Therefore;

The length of PQ = 4·√2 = 2 × r

r = (4·√2)/2 = 2·√2

r = 2·√2

r² = (2·√2)² = 8

r² = 8

The equation of the circle is therefore;

(x - h)² + (y - k)² = r²

(x - (-1))² + (y - 7)² = 8.

Answer:

C

Step-by-step explanation:

Answer:

987 milmeters equal to 98.7 centimeters

Step-by-step explanation:

To figure these kinds of problems divide the millimeter by 10 and you will get the centimeter value.

Hope that helps!

Answer:

To find the surface area of a rectangular prism you must multiple the length and the width. You can choose the top and do 2(L*W) and one of the square sides 2(L*W) and the front 2(L*W) and add it all up.

2(L*W)+2(L*W)+2(L*W)= surface area

There is a 2 because there are two side of a rectangular that are the same. Since there are 6 sides on a rectangle. Only 3 pairs are similar.

Hope this helps :)

Answer:

Step-by-step explanation:

there  were 370 children in the swimming pool

Answer:

49

Step-by-step explanation:

Answer: 6

Step-by-step explanation:

6

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]

Answer:

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

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: I think the red one I am not 100%

Step-by-step explanation:

Answer: the answer is 29.3

Step-by-step explanation:

Answer: 87

Step-by-step explanation:

Answer:

(3,0)

Step-by-step explanation:

KHAN

Answer:

Mean 

4

Median 

5

Mode

1, 6

Range

6

Step-by-step explanation:

Salute.

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:

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:

20%, 16%, greater than

Step-by-step explanation:

1/5*100= 20% 250*20%=50 times 1 is picked up.

Ex. Probability: 40/250*100= 16%

Hopes this makes sense!

Answer: Your welcome!

Step-by-step explanation:

The theoretical probability of choosing a card with the number 1 is 20%. The experimental probability of choosing a card with the number 1 is 16%. The theoretical probability is greater than the experimental probability. This is because the theoretical probability is based on the assumption that each card has an equal chance of being chosen, while the experimental probability is based on the actual results of the survey, which showed that 16% of the people chose a card with the number 1.

Answer:

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

Answer:

letter a

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:

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:

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.