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Serjik [45]
2 years ago
14

The crew of apollo 17 consisted of 2 pilots and a geologist. Suppose that nasa had actually trained 9 pilots and 4 geologists as

candidates for the flight. How many different crews could they have assembled?
Mathematics
1 answer:
Troyanec [42]2 years ago
8 0

They could have assembled total 336 different possible crews.

<em><u>Explanation</u></em>

Total number of trained pilots is 9 and geologists is 4.

The crew should be consisted of 2 pilots and 1 geologist. That means, <u>2 pilots are chosen from total 9 and 1 geologist is chosen from total 4</u>.

Number of ways for choosing 2 pilots from 9 = ^9C_{3} =84 and

Number of ways for choosing 1 geologist from 4 =^4C_{1}= 4

So, the total possible number of different crews they could have assembled =84*4= 336

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To have a party at Sky Zone, it cost $125 to rent the room and $5.25 a person for pizza and drinks. The following equation repre
mario62 [17]

Answer:

23 people.

Step-by-step explanation:

T=125 + 5.25p

p=23

She'd spend a total of 245.75.

7 0
2 years ago
Which is f(5) for the function -2x2 + 2x - 3?
aksik [14]

Answer:

-43

Step-by-step explanation:

-2x2 + 2x - 3?

Let x = 5

-2 (5)^2 +2(5) -3

-2 (25) +10 -3

-50 +10 -3

-43

5 0
2 years ago
Read 2 more answers
Choose Yes or No to tell if the digit in the ones place is 1/10 the value of the digit in the tens place.
Radda [10]

Answer:

  • 4099 yes
  • 4110 no
  • 5909 no
  • 5011 yes

Step-by-step explanation:

The digits will be related by a factor of 10 if they are the same digit. 4099 and 5011 have the same digit in the tens and ones places. 4110 and 5909 do not.

5 0
2 years ago
Read 2 more answers
What is the distance, to the nearest whole number, from K (5, 6) to P (1, 1)?
Elza [17]

Answer:

<h3>The answer is 6 units</h3>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2}  +  ({y1 - y2})^{2} }  \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

K (5, 6) P (1, 1)

The distance from K to P is

|KP|  =  \sqrt{ ({5 - 1})^{2} +  ({6 - 1})^{2}  }  \\  =  \sqrt{ {4}^{2} +  {5}^{2}  }  \\  =  \sqrt{16 + 25}  \\  =  \sqrt{41}  \\  = 6.403124

We have the final answer as

<h3>6 units to the nearest whole number</h3>

Hope this helps you

5 0
2 years ago
Imaginá que tenés 125 dados cúbicos del mismo tamaño ¿Cuantos dados de altura tiene el cubo de mayor tamaño que podés armar apil
kumpel [21]

Answer:

(i) Debemos apilar 5 dados para construir el cubo de mayor tamaño.

(ii) Se necesita 121 dados cuadrados para formar el cuadrado con la mayor cantidad de dados posibles, quedando 4 dados sobrantes.

Step-by-step explanation:

(i) Sabemos por la Geometría Euclídea del Espacio que un cubo es un sólido regular con 6 caras cuadradas y longitudes iguales. Cada dado tiene un volumen de 1 dado cúbico y 125 dados dan un volumen total de 125 dados cúbicos.

El volumen de un cubo está dado por la siguiente fórmula:

V = L^{3}

Donde:

L - Longitud de la arista, medida en dados.

V - Volumen del cubo, medido en dados cúbicos.

Ahora, necesitamos despejar la longitud de la arista para calcular la altura máxima posible:

L = \sqrt[3]{V}

Dado que V = 125\,dados^{3}, encontramos que la altura del cubo de mayor tamaño sería:

L =\sqrt[3]{125\,dados^{3}}

L = 5\,dados

Debemos apilar 5 dados para construir el cubo de mayor tamaño.

(ii) El área cuadrada formada por cubos está determinada por la siguiente fórmula:

A = L^{2}

Donde:

L - Longitud de arista, medida en dados.

A - Área, medida en dados cuadrados.

Puesto que la longitud de arista se basa en un conjunto discreto, esto es, el número de dados disponibles, debemos encontrar el valor máximo de L tal que no supere 125 y de un área entera. Es decir:

L \leq 125\,dados

Si cada cubo tiene un área de 1 dado cuadrado, entonces un cuadrado conformado por 125 dados tiene un área total de 125 dados cuadrados. Entonces:

L^{2}< 125\,dados^{2}

Esto nos lleva a decir que:

L < 11.180\,dados

Entonces, la longitud máxima del cuadrado con la mayor cantidad de cubos posible es de 11 dados. El número total requerido de cubos es el cuadrado de esa cifra, es decir:

n = (11\,dados)^{2}

n = 121\,dados

Se necesita 121 dados cuadrados para formar el cuadrado con la mayor cantidad de dados posibles, quedando 4 dados sobrantes.

4 0
2 years ago
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