On the blueprint of a house,42 millimeters represents 8 meters. The actual length of the living room is 5 meters. What is its length on the blueprint?

Answer:

1/3000 or 0.000333....

Step-by-step explanation:

I think you mean 20mm / 60 m

1 mm = 0.001m

So the division becomes:

(0.001* 20) / 60

= 0.02 / 60

= 0.00033.....

or as a fraction it is

2/6000

=  1/3000.

Answer:

  KE = 100 J

Step-by-step explanation:

The question is asking you to use the formula with the values ...

  m = 8 kg . . . . . this 'm' stands for mass

  v = 5 m/s . . . .  this 'm' stands for meters

Putting these values into the formula, we have ...

  KE = 1/2(8 kg)(5 m/s)² = 100 kg·m²/s²

The units are equivalent to the derived SI unit "joules", abbreviated J.

The kinetic energy of the 8 kg mass is 100 J.

Answer:

25^2=16^2 +d^2

d^2=625-256

d=19.2

option C

Answer: $53.84

Step-by-step explanation: 3500 divided buy 65

Answer:

y = x - 3

if you plug in the numbers from the table, it checks out.

y = x - 3

0 = 3 - 3

0 = 0

y = x - 3

1 = 4 - 3

1 = 1

y = x - 3

2 = 5 - 3

2 = 2

and so on

Answer:

El submarino subió 68 metros

Step-by-step explanation:

Desplazamiento

Si un cuerpo cambia de posición desde X1 hasta X2, su cambio de posición se calcula como:

X=X2-X1

En el caso de nuestro submarino, su posición original era a X1=-83 m, luego sube a la posición X2=-15 m, así que su cambio de posición o desplazamiento es:

X=-15-(-83)=-15+83=68 m

El submarino subió 68 metros

Answer:

I do not see the picture of the alligator

Step-by-step explanation:

so therefore i do not the lenght of the alligator

Answer:

27 1/4

Step-by-step explanation:

use n√ax = a x/n to rewrite 4√27 as 27 1/4.

Answer:

just remember that each baby elephant weight 3/8 of a ton

and all together weight 3/4 of a ton

so how many baby elephants will be ,let be x a unknown number of them

so

x*(3/8) =3/4

because multiplying the number of baby elephants with their body weight gives the total weight of all baby elephants.

so

x=(3/4)*(8/4)=2

the number of baby elephants is 2

Answer:

He is wrong.

Step-by-step explanation:

[tex]3(x+3)-9\\\\3x+9-9\\\\\boxed{3x}[/tex]

Hope this helps

Answer:

0.69

Step-by-step explanation:

72 inches in 6 feet

72 divided by 49.68=0.69

Hope this helps

Answer:

1 pound (mass) per day (lb/d) of mass flow=112.00 ounces (mass) per week (oz/wk) in mass flow

Step-by-step explanation:

Complete Question

The complete question is shown on the first uploaded image  

Answer:

a

[tex]P(X < 65) =  0.003467[/tex]

b

[tex]P(86 <  X <  110 )= 0.63928 [/tex]

c

[tex]P(X > 120 ) =0.062024[/tex]

Step-by-step explanation:

From the question we are told that

 The  mean is  [tex]\mu  =  \$ 100[/tex]

 The  standard deviation is  [tex]\sigma  =  \$ 13[/tex]

 Generally the probability that the  monthly utility bills is less than  $65  is  mathematically represented as

     [tex]P(X < 65) =  P(\frac{X  -  \mu }{\sigma }  < \frac{65  -  100 }{13 }   )[/tex]

Generally

  [tex]\frac{X  -  \mu }{\sigma } =  Z (The\ standardized \ value \ of\  X )[/tex]

So

 [tex]P(X < 65) =  P(Z < -2.70  )[/tex]

From the z-table

    [tex]P(Z < -2.70  ) =  0.003467[/tex]

So  

   [tex]P(X < 65) =  0.003467[/tex]

Generally the  probability that a randomly selected utility bill is between $86​ and $​110 is mathematically represented as

 [tex]P(86 <  X<  110 )=  P( \frac{86 -100}{ 13} <  \frac{X - \mu}{\sigma } < \frac{86 -100}{ 13}    )[/tex]

=>  [tex]P(86 <  X <  110 )=  P( \frac{86 -100}{ 13} < Z < \frac{110 -100}{ 13} )[/tex]      

=>    [tex]P(86 <  X <  110 )=  P(-1.08 < Z < 0.77 )[/tex]      

=>    [tex]P(86 <  X <  110 )= P(Z < 0.77 ) -  P(Z < -1.08 ) [/tex]    

From the z-table

    [tex]P(Z < 0.77 ) = 0.77935[/tex]

and  

   [tex]P(Z < -1.08 ) =  0.14007[/tex]

So

     [tex]P(86 <  X <  110 )= 0.77935  -  0.14007 [/tex]    

=>   [tex]P(86 <  X <  110 )= 0.63928 [/tex]    

 Generally the probability that the  monthly utility bills is  more than $120  is mathematically represented as

         [tex]P(X >120 ) =  P(\frac{X  -  \mu }{\sigma }  > \frac{120  -  100 }{13 })[/tex]

=>   [tex]P(X > 120 ) =  P(Z > 1.538   )[/tex]

From the z-table

    [tex]P(Z > 1.54  ) =  0.062024[/tex]

So  

   [tex]P(X > 120 ) =0.062024[/tex]

Answer:

[tex] \frac{3}{5} = \frac{x}{40} \\ x = \frac{3 \times 40}{5} = \frac{120}{5} = 24[/tex]

Answer:

24

Step-by-step explanation:

3/5 multiplied by 40 = 24

It will cost $412.50 for equipment for all stations.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Dan orders supplies for the science lab. Each of the 30 stations in the chemistry lab needs 5 feet of rubber tubing. If rubber tubing sells for $8.25 per yard.

The cost will be calculated as below,

3 feet = 1 yard

5 x 30 = 150 feet

8.25 per yard = cost

150/ 3 = 50 yards (total tubing needed)

50 x 8.25 = $ 412.50

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Answer:

$2

Step-by-step explanation:

20×0.10=2

Answer: yes

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

(m^2- 4n)(m^4+4m^2n+16n^2)

Option D is our correct answer.

i.e (m² - 4n) ([tex]m^{4}[/tex] + 4nm + 16n²).

Given,

[tex]m^{6}[/tex] - 64n³

We need to find the factored form of this.

And select the correct options.

A. (m2 + 4n)(m4 − 4m2n + 16n2)

B. (m − 4n2)(m2 + 4mn2 + 16n4)

C. (m + 4n2)(m2 − 4mn2 + 16n4)

D. (m2 − 4n)(m4 + 4m2n + 16n2)

It is given as:

( a - b ) ( a² + ab + b² )

Find the factored form [tex]m^{6}[/tex] - 64n³

We can write this as,

[tex](m^{2})^3[/tex] - 4³n³

(m²)³ - (4n)³

This is in the form of (a³ - b³).

Applying this formula.

Now,

(m² - 4n) ((m²)² + 4nm + (4n)²)

(m² - 4n) ([tex]m^{4}[/tex] + 4nm + 16n²)

Thus Option D is our correct answer.

i.e (m² - 4n) ([tex]m^{4}[/tex] + 4nm + 16n²).

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Answer:

add 4

Step-by-step explanation:

Answer:

y= 2x + 11

Step-by-step explanation: Hopefully that helps ;)

Answer:

account for the majority of O-rings produced, namely Nitrile, EPDM and ... For the most current information, contact the O-Ring Division. ... O-ring resulting in “nibbling” (see Zatkoff Product catalog, ... 72 0,23. 30 0,25. 89 0,25. 47 0,25. 07 0,25. 64 0,25. 24 0,25. 82 0,30. 42 0,30. 99 0, ... JASO-1016 ... R12,5-591 ... R26,5-605.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Step-by-step explanation:

A.let n be 1

a1=2(1)+3

T1=5

let n be 2

2(2)+3

T2=7

T3=2(3)+3

=9

T4=2(4)+3

=11

A. For the sequence given by the nth term formula an = 2n + 3, the first four terms are:

a1 = 2(1) + 3 = 5

a2 = 2(2) + 3 = 7

a3 = 2(3) + 3 = 9

a4 = 2(4) + 3 = 11

For the sequence given by the nth term formula an = n² - 1, the first four terms are:

a1 = 1² - 1 = 0

a2 = 2² - 1 = 3

a3 = 3² - 1 = 8

a4 = 4² - 1 = 15

B. The missing terms for the sequence 57, 47, 37, 27,  17 are:

57, 47, 37, 27, 17

The missing terms for the sequence -12,-6, , 0, 12, 24, 36 are:

-12, -6, 0, 12, 24, 36

The missing terms for the sequence -4, 8,20, , 16, -20 are:

-4, 8, 20, 16, -20

C. The general rule or nth term for the sequence 7, 12, 17, 22,... is:

an = 5n + 2

The general rule or nth term for the sequence 2, 6, 12, 20,... is:

an = n² + 1

D. The sequence 4, 8, 12, 16,.. is an arithmetic sequence with a common difference of 4.

The sequence 13, 10, 7, 4,... is an arithmetic sequence with a common difference of -3.

The sequence -10, -8, -6, -4,.. is an arithmetic sequence with a common difference of 2.

The sequence 1, 6, 8, 11, 12,.. is not an arithmetic sequence as there is no common difference between consecutive terms.

The sequence 5, 6, 12, 13,... is not an arithmetic sequence as there is no common difference between consecutive terms.

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Answer:

i need points plz

Step-by-step explanation:

Answer:

Step-by-step explanation:

f(3)   = 2*x - 4 = 2*3 - 4 = 6 - 4 = 2

g(5)  = -4x + 3 = -4*5 + 3 = -20 + 3 = -17