in a class of 37 students,the number of students who like martial art only is double than the number of students who like athletics only .if students like both 4 like none of the games . find how many students like​

Answer:

En el nivel 5 habrá 32 pruebas mientras que en el nivel 9 habrá 512 pruebas.

Step-by-step explanation:

En un videojuego en el nivel 1 hay 2 pruebas.

El número de pruebas que hay que superar es el doble de las del nivel anterior. Entonces en el nivel 2 se deben superar 4 (2 pruebas del nivel 1*2, el doble) pruebas, mientras que en el nivel 3 hay que superar 8 pruebas (4 pruebas del nivel 2*2, el doble).

Una sucesión es una secuencia ordenada de números. Si observamos en este caso, la sucesión que se forma para calcular el número de pruebas es 2ⁿ, donde n es el número de nivel en el videojuego.

Entonces, por ejemplo, en:

Entonces, para calcular la cantidad de pruebas en el nivel 5 se realiza el cálculo:

2ⁿ= 2⁵= 32 pruebas

mientras que para calcular la cantidad de pruebas en el nivel 5 se realiza el cálculo:

2ⁿ= 2⁹= 512 pruebas

Entonces, en el nivel 5 habrá 32 pruebas mientras que en el nivel 9 habrá 512 pruebas.

Sabiendo como cambia el número de pruebas por nivel, veremos que en el nivel 5 hay 32 pruebas y en el nivel 9 hay 512 pruebas.

Sabemos que la cantidad de pruebas que hay que superar en cada nivel es el doble de las que hay en el nivel anterior.

Entonces, esto es una serie geometrica, que se puede escribir como:

[tex]A_n = A_1*2^{n - 1}[/tex]

Donde A₁ es la cantidad de pruebas en el primer nivel, que sabemos que son 2.

Entonces escribimos:

[tex]A_n = 2*2^{n-1} = 2^n[/tex]

En el nivel 5 tenemos n = 5, entonces la cantidad de pruebas que hay en e nivel 5 esta dado por:

[tex]A_5 = 2^5 = 32[/tex]

Es decir, hay 32 pruebas en el nivel 5.

Para el nivel 9 tenemos n = 9, entonces hay:

[tex]A_9 = 2^9 = 512[/tex]

Hay 512 pruebas en el nivel 9.

Sí quieres aprender más. puedes leer:

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Answer:

C none of the above

Step-by-step explanation:

A negative divided by a negative is a positive

- ( l/ -m) = + l/m

A is negative

B is negative ( negative negative negative is negative)

Answer:

they are similar

Step-by-step explanation:

1.6/1.2=1.3333

2.8/2.1=1.3333

they are similar as their ratios of the legs are equal

Answer:

per inch 0.90 cents hhhhhhjjkolllll

Answer:

x = 9

Step-by-step explanation:

|x - 9| = 0

x = 9

|9 - 9| = 0

|0| = 0

0 = 0

Answer:

I don't want to be silly here, but....

if x > 9 and < 13...

there is only one answer that is >9 and < 13

that is answer "A" (11)

Step-by-step explanation:

Answer:

A. 11

Step-by-step explanation:

Hi there!

We're given the trapezoid EBFD, with bases (the parallel sides) EB and DF, which equal 9 and 13 respectively

AC is a segment that belongs to EBFD, and has the measure of x

AC is a midsegment, which is a segment that connects the midpoints of 2 sides

the midpoint divides a segment to create create two congruent segments

In this example, point A is a midpoint, as it divides ED into the congruent segments EA and AD (you can tell they are congruent by their markings)

C is also a midpoint, as it divides BF into the congruent segments BC and CF

line segment AC connects the points A and C together

anyway, the measure of a midsegment in a trapezoid is the average of the bases

in other words, the midsegment (AC, or x) is equal to (EB+DF)/2

since we know the measures of EB and DF, we can substitute them into the expression above to find x

x=(EB+DF)/2

x=(9+13)/2

add the numbers on the numerator

x=22/2

divide

x=11

So the answer is A

Hope this helps! :)

Answer:

[tex]Area = 0.25 \ m^2[/tex]

Step-by-step explanation:

Force = 1500N , Pressure = 6000

[tex]Pressure = \frac{Force}{Area }[/tex]

[tex]6000 = \frac{1500}{Area }[/tex]

[tex]6000 \times Area = 1500\\\\Area = \frac{1500}{6000} \\\\Area = \frac{1}{4} = 0.25 \ m^2[/tex]

Answer:

A    2:1

B    1:2

Step-by-step explanation:

If there is 24 students and 8 are girls, then 24 - 8 tells you how many are boys.

24 - 8 =  16.

There are 16 boys.

If there is 16 boys and 8 girls, the ratio would be 2 : 1 or 2/1 or 2 because 16  and 8 have a common factor of 8, so both sides can be divided by 8.

Hence the 8 : 2.

Ratios are commonly expressed with a colon, so that is going to be the symbol I'm using to differenciate the numbers.

We can just reverse the ratio since the original was boys to girls, but it is now girls to boys.

1:2

9514 1404 393

Answer:

  149.04°

Step-by-step explanation:

You must consider the signs of the components of the vector. The value -5+3i will be in the 2nd quadrant of the complex plane.

When you use the single-argument arctan function, it will tell you the angle is -30.96°, a 4th-quadrant angle. (arctan( ) is only capable of giving you 1st- or 4th-quadrant angles.)

You find the 2nd-quadrant angle by adding 180° to this value:

  -30.96° +180° = 149.04° = arg(-5+3i)

__

The attachments show the calculation using a suitable calculator (1st) and a spreadsheet (2nd). The spreadsheet function ATAN2(x,y) gives the 4-quadrant angle in radians, considering the signs of the two arguments. Here, we converted it to degrees. The calculator can be set to either degrees or radians.

Answer:

6.6%

Step-by-step explanation:

Note: I had to correct the given data

Given data

Initial charges= $7.50

Final charges= $8.0

Percent increase

% increase= Final-initial/initia*100

% increase= 8-7.5/7.5*100

% increase= 0.5/7.5*100

% increase= 0.066*100

% increase= 6.6%

Answer:

52

Step-by-step explanation:

k(x) = 5x - 6

(k + k)(4) =

First find k(4) = 5(4)+6 = 20+6 = 26

(k + k)(4) = 26+26 = 52

Answer: 4166.67$

Step-by-step explanation:

1920 x 250 = amount

Amount = 120%

Cost price = 100%

1920 x 250= 120%

Cost price = 100%

Cross multiply and divide both side by 120

1920 x 250 x 100/120 = price

Exchange rate = cost in #/cost in $

= (1920 x 250 x 5/6)/(5000)

= (96 x 5/6) = 16 x 5= 80

Exchange rate then was 80 to 1$

The sales will be 400000/96 = 4166.67$

Answer:

1. $1:#80

2.$5000

Step-by-step explanation:

ok... lots of moving parts here ....

$5000 / 250 = $20 per lantern.

~~~~~~~~~~~~~~~~~~

x (1 + .2) = 1920

x = 1600

~~~~~~~~~~~~~~

$5000 : (1600*250)

$5,000:#400,000

c

~~~~~~~~~~~

sales back to the us at $1:#96

1920*250 = 480000

#480000/#96=$5000

Answer: 100.5

Step-by-step explanation:

multiply 3.14 by 2 to the 2nd power by 8. so first 2 to the second power is 4. Then 4x8 is 32. Final step is to multiply 3.14 by 32 to get 100.48. Then you gotta round to get 100.5.

Answer:

First, remember that mathematics is a logical construct.

So, when something has no logical sense, it is undefined.

Now, let's think about a division by zero:

If you have $100, and you want to divide it between 0 people, how much gets each one of them?.

Naturally, there is no logical answer to this question, we can not know how much gets each one of these people because we have no people to divide that money.

Now, we can find another logical problem if we assume that the division is actually defined.

For example if 1 divided by zero is equal to a number A, we have:

1/0 = A

ok, if now multiply both sides by zero we get:

(1/0)*0 = A*0

1*(0/0) = A*0

1 = 0

So, 1/0 can be defined only if 1 = 0, again, a logical problem.

This is why the division by zero is not defined.

Answer:

I. x = 14.115 and y = 9.115

II. x = 0.885 and y = -4.115

Step-by-step explanation:

Translating the word problem, we have;

x - y = 5  ......equation 1

x² + y² = 100  ...... equation 2

x = y + 5  ...... equation 3

Substituting eqn 3 into eqn 2, we have;

(y + 5)² + y² = 100

Simplifying further by opening the bracket, we have;

(y + 5)(y + 5) + y² = 100

y² + 5y + 5y + 25 + y² = 100

y² + 10y + 25 + y² = 100

2y² + 10y + 25 = 100

2y² + 10y + 25 - 100 = 0

2y² + 10y - 75 = 0

To find the roots of the quadratic equation, we would use the quadratic formula;

Note: the standard form of a quadratic equation is ax² + bx + c = 0

a = 2, b = 10 and c = -75

The quadratic equation formula is;

[tex] x = \frac {-b \; \pm \sqrt {b^{2} - 4ac}}{2a} [/tex]

Substituting into the formula, we have;

[tex] y = \frac {-10 \; \pm \sqrt {10^{2} - 4*2*(-75)}}{2*2} [/tex]

[tex] y = \frac {-10 \pm \sqrt {100 - (-600)}}{4} [/tex]

[tex] y = \frac {10 \pm \sqrt {100 + 600}}{4} [/tex]

[tex] y = \frac {10 \pm \sqrt {700}}{4} [/tex]

[tex] y = \frac {10 \pm 26.46}{4} [/tex]

[tex] y_{1} = \frac {10 + 26.46}{4} [/tex]

[tex] y_{1} = \frac {36.46}{4} [/tex]

[tex] y_{1} = 9.115 [/tex]

Or

[tex] y_{2} = \frac {10 - 26.46}{4} [/tex]

[tex] y_{2} = \frac {-16.46}{4} [/tex]

[tex] y_{2} = -4.115 [/tex]

Next, we would find the value of x;

x = y + 5

When y = 9.115

x = 9.115 + 5

x = 14.115

When y = -4.115

x = -4.115 + 5

x = 0.885

Check:

x - y = 5

14.115 - 9.115 = 5

Answer:

30

Step-by-step explanation:

To find the greatest number divisible : find the GCF

[tex]60 = 2 \times 2 \times 3 \times 5 = 2^2 \times 3^1 \times 5^1\\\\90 = 2 \times 3 \times 3 \times 5 = 2^1 \times 3^2 \times 5\\\\120 = 2 \times 2 \times 2 \times 3 \times 5 = 2^3 \times 3^1 \times 5^1[/tex]

[tex]Therefore \ , GCF = 2 \times 3 \times 5 = \ 30[/tex]

Therefore greatest number in which 60, 90 , 120 are  divisible = 30

The greatest number is 30 which is divisible by 60, 90, and 120.

The least common multiple is defined as the least positive integer that is dividable by both given numbers. A group's Least Common Multiple (LCM) is the smallest number that is a multiple of all the numbers.

To find the greatest number in which 60, 90, and 120 are all exactly divisible, we can find the least common multiple (LCM) of these three numbers.

The LCM is the smallest positive integer that is exactly divisible by all of the numbers in question.

One way to find the LCM of 60, 90, and 120 is to list the prime factorization of each number and then take the highest exponent of each prime factor:

60 = 2 x 2 x 3 x 5

90 = 2 x 3 x 3 x 5

120 = 2 x 2 x 2 x 3 x 5

The LCM of 60, 90, and 120 is then 2 x 3 x 5 = 30.

Therefore, 30 is the greatest number in which 60, 90, and 120 are all exactly divisible.

To learn more about the Least Common Multiple(LCM) here :

https://brainly.com/question/17256135

#SPJ2

Answer:

obtion b and d

Step-by-step explanation:

4x + 5 = -4x + 5

4x + 4x = 5 - 5

8x = 0

x = 0/8

x = 0     (this has solution)

-4x + 5 = -4x - 4

-4x + 4x = -4 + 5

0 = -1   (this has no solution)

5x + 5 = -4x - 4

5x + 4x = -4 - 5

9x = -9

x = -9/9

x = -1                   (this has solution)

-4x + 5 = -4x - 5

-4x + 4x = -5 -5

0 = -10       (this has no solution)

Answer:

the answer is D

Answer:

Option C

Step-by-step explanation:

There are 17 elements in the sample space, here.

The answer is C.

45^-3 can be transferred to the denominator, making the 45 in the denominator have a power to the 6th power.

Answer:

No solution is possible form the given informantion

Step-by-step explanation:

There seems to be something missing.

Answer:

C

Step-by-step explanation:

17.156 is the irrational number as it is terminating(means it ends)

Rest all are irrational

Answer:

$8.40

Step-by-step explanation:

The formula for calculating simple interest is

principal * interest rate * time .

Plugging 140 into the principal, or starting value, 3% as the interest rate, and 2 (years) for the time, we get 140*0.03*2 = 8.4, or $8.40 as our answer. Note that 3% turned into 0.03 as turning a percentage into a decimal requires us to divide the decimal by 100

Answer:

10x^2 - 3x -18

Step-by-step explanation:

if you meant (2x-3)(5x+6), you just multiply out

Answer:

Step-by-step explanation:

Use FOIL method

(2x - 3)(5x + 6) = 2x*5x + 2x*6 + (-3)*5x  + (-3) *6

                        = 10x² + 12x - 15x  - 18 {Combine like terms}

                        = 10x² - 3x - 18

Like terms are terms that have same variable with same power.

Answer:

[tex]\sqrt[6]{2\\}[/tex]

Step-by-step explanation:

Rewriting

2 ^1/2 ÷ 2 ^ 1/3

We know a^ b ÷ a^c = a^ (b-c)

2 ^ (1/2 -1/3)

Getting a common denominator

2^ ( 3/6 - 2/6)

2^ 1/6

[tex]\sqrt[6]{2\\}[/tex]

Answer:

[tex]\sqrt[6]{2}[/tex]

Step-by-step explanation:

We can start by writing the expression as one power of two, and then comparing it to the options. The square root of two is the same and [tex]2^{\frac{1}{2} }[/tex] and the cube root of two is the same as [tex]2^{\frac{1}{3} }[/tex]. Therefore, we can rewrite the expression:

[tex]\frac{2^{\frac{1}{2} }}{2^{\frac{1}{3} }}[/tex]

Now, to write them as one power of two, we can use the quotient rule which states, [tex]\frac{x^m}{x^n} = x^{m-n}[/tex]:

[tex]2^{\frac{1}{2} -\frac{1}{3}}[/tex]

We just need to subtract 1/3 from 1/2 to get:

[tex]2^{\frac{1}{6} }[/tex]

This is the same as the 6th root of 2, which is the second option.

Answer:

6 digits.

Step-by-step explanation:

The repeating numbers after the decimal is 571428.

Step-by-step explanation:

yes that's the answer

can you please give me brainliest

and use DESMOS app for drawing graphs

Answer:

C

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift left of a units

• If a < 0 then a shift right of a units

The graph of g(x) is the graph of f(x) shifted 6 units left , then

g(x) = f(x + 6) → C

Answer: A. A random sample

Step-by-step explanation:

Since everyone is equally as likely yo be selected for this sample, is has to be random because there won't be any interference to the probability of your chances of being selected in the population

I hope this helps!

Answer:

Leo stop at 1339. 3 feet tall and Leo almost reach the top of the building