In order to conduct an experiment, 4 subjects are randomly selected from a group of 41 students. The number of possible different groups is ______________________.

Answer:

31

Step-by-step explanation

16x0+2x2•y-1

ok now

16•2+2•2•2•4-1

wich is: 31

Let the first no be x

ATQ

[tex]\\ \sf\longmapsto \dfrac{1}{x}+\dfrac{1}{2x+1}=\dfrac{7}{10}[/tex]

[tex]\\ \sf\longmapsto \dfrac{3x+1}{2x^2+x}=\dfrac{7}{10}[/tex]

[tex]\\ \sf\longmapsto 30x+10=14x^2+7x[/tex]

[tex]\\ \sf\longmapsto 14x^2-23x-10=0[/tex]

On solving we get

[tex]\\ \sf\longmapsto x=-5/14\:or\:2[/tex]

First no=2

Second no=5

The value of the two variables 'x' and 'y' will be 2 and 5, respectively.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

There are two figures. The second number is one greater than twice the first. The total of the number's reciprocals is 7/10.

Let the two numbers be 'x' and 'y'. Then the equations are given as,

y = 2x + 1                   ...1

1/x + 1/y = 7/10           ...2

From equations 1 and 2, then we have

1/x + 1/(2x + 1) = 7/10

10(2x + 1 + x) = 7x(2x + 1)

30x + 10 = 14x² + 7x

14x² - 23x - 10 = 0

14x² - 28x + 5x - 10 = 0

14x(x - 2) + 5(x - 2) = 0

(14x + 5)(x - 2) = 0

x = 2, - 5/14

At x = 2, then the value of y is given as,

y = 2 (2) + 1

y = 5

The value of the two variables 'x' and 'y' will be 2 and 5, respectively.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Answer:

As finding 10% of a number means to divide by 10, it is common to think that to find 20% of a number you should divide by 20 etc. Remember, to find 10% of a number means dividing by 10 because 10 goes into 100 ten times. Therefore, to find 20% of a number, divide by 5 because 20 goes into 100 five times.

Step-by-step explanation:

We want to see which ones of the given equations are true equations. Here we will see that the only true equation is the second one:

54 ÷ 6 + 3² = 4 + 4²

We define a true equation as an equation where the thing at the left is equal to the thing on the right, so we need to check that for all the given equations.

1) 62 − 22 = 4 + 7⋅22

We just solve each side, we will get:

40 = 158

This is not a true equation.

2) 54 ÷ 6 + 3² = 4 + 4²

   9 + 9 = 4 + 16

   18 = 18

This is a true equation.

3) 8042 = 10 − 22 − 1

Clearly, this is not a true equation.

4) 19 − 2⋅5 = 9⋅73 −9

   19 - 10 = 657 - 9

           9 = 648

This is not a true equation.

Then the only true equation is the second one:

54 ÷ 6 + 3² = 4 + 4²

If you want to learn more, you can read:

https://brainly.com/question/21834784

[tex]\\ \sf\longmapsto x-5/3=1[/tex]

[tex]\\ \sf\longmapsto x=1+5/3[/tex]

[tex]\\ \sf\longmapsto x=3+5/3[/tex]

[tex]\\ \sf\longmapsto x=8/3[/tex]

Done

[tex]\sf \longmapsto \: x- \dfrac{5}{3} =1[/tex]

[tex]\sf \longmapsto \: x + \dfrac{ - 5}{ 3} = 1[/tex]

[tex]\sf \longmapsto x + \dfrac{ - 5}{3} + \dfrac{5}{3} = 1 + \dfrac{5}{3} [/tex]

[tex]\sf \longmapsto \: x = \dfrac{8}{3} [/tex]

[tex] \boxed{\sf { \red{ x = \dfrac{8}{3}}} }[/tex]

Answer:

-9

Step-by-step explanation:

the teacher was right

Step-by-step explanation:

3.5 liters were originally in it.

then 0.75 liters were taken out.

that left 2.75 liters.

then 1.25 liters were taken out.

that left 1.5 liters in the container.

Answer:The radical symbol √ is used to indicate the square root. For example, √16 = 4. The radical symbol is also called a root symbol or surds. If a number is a perfect square, we can easily find the squar

Step-by-step explanation:

Answer:

Step-by-step explanation:

The square root of a number is a whole number between 50 and 100.

Let the number be n, given:

Square both sides:

The number is a perfect square between 2500 and 10000.

Let the number is n:

Square both sides:

Solution is:

The answer is yes, the number must be between 0 and 1.

Answer: 4 hours 30 minutes

Step-by-step explanation: 36/8 = 4.5 hours

hours = 4, minutes = 0.5*60 = 30

[tex](n \times (12 + 18)) + 43 = 103[/tex]

[tex]30n + 43 = 103[/tex]

Subtract both sides 43

[tex]30n + 43 - 43 = 103 - 43[/tex]

[tex]30n = 60[/tex]

Divide both sides by 30

[tex] \frac{30n}{30} = \frac{60}{30} \\ [/tex]

[tex]n = 2[/tex]

The spin of the wheel by the contestant is an illustration of a sine function whose equation is [tex]\mathbf{y =-1.25 sin(0.8x) + 0.25}[/tex]

The wheel is 1.5 m above the floor, and the peg reaches a maximum height of 2.75 m.

So, the amplitude is:

[tex]\mathbf{A = 1.5 - 2.75}[/tex]

[tex]\mathbf{A = -1.25}[/tex]

The vertical shift is the minimum height of the peg.

So, we have:

[tex]\mathbf{D = 0.25}[/tex]

The period (T) equals one circumference.

So, we have:

[tex]\mathbf{T = (max-min)\pi}[/tex]

This gives

[tex]\mathbf{T = (2.75-0.25)\pi}[/tex]

[tex]\mathbf{T = 2.5\pi}[/tex]

The frequency (B) is then calculated as:

[tex]\mathbf{B = \frac{2\pi}{T}}[/tex]

This gives

[tex]\mathbf{B = \frac{2\pi}{2.5\pi}}[/tex]

Divide

[tex]\mathbf{B = 0.8}[/tex]

A sine function is represented as:

[tex]\mathbf{y =A sin(B(x + C)) + D}[/tex]

Substitute the calculated values

[tex]\mathbf{y =-1.25 sin(0.8(x + C)) + 0.25}[/tex]

The horizontal shift (C) is 0.

So, the function becomes

[tex]\mathbf{y =-1.25 sin(0.8x) + 0.25}[/tex]

See attachment for the graph of the equation

Read more sine function at:

https://brainly.com/question/11904902

Answer:

b-30

Step-by-step explanation:

1/2b-30×2=b-30

hope this helpd

Answer:

Statement 1 best explains why the sum of the areas of the two white squares in fig 2 is the same as the area of the white square in fig 1.

Step-by-step explanation:

Statement 1:

In each figure the total area is equal and the area of 4 triangles is equal, so the remaining white area must also be equal.

Explanation:

Total area of each square = ab*ab

Fig 1 has 4 triangle each with area = ab/2

Total area of non-white part in fig 1 = 4*(ab/2) = 2*ab

Fig 2 has 2 non-white rectangles each with area = a*b

Total area of non-white rectangles in fig 2 = 2*ab

As non-white area of fig 1 = non-white area of fig 2

The remaining white area must also be equal.

Answer:

-6x+27

Step-by-step explanation:

thanks + brainliest = explanation

if needed, of course :)

Answer:

Step-by-step explanation:

A ∪ B 2.A ∪ C 3.A ∩ B 4.A ∩ C 5.B ∩ C. 4 - {1,3,5} 5 - null, or empty set ... a = ∅ b = B c = then A ∪ B = B d = A e = then A ∩ B = B. 1. If A ⊂ B ...

Answer:

a) -5 meters

b)160°C

Step-by-step explanation:

Answer:

-2, -1, 0, 1

Step-by-step explanation:

-2

-1

0

1

All the possible values of t in the inequality - 3 < t < 2 is,

t = - 2, - 1, 0, 1

Used the concept of inequality that states,

A relation by which we can compare two or more mathematical expressions is called an inequality.

Given that;

The inequality is,

- 3 < t < 2

Here the given inequality means all the values of t are lies between - 3 and 2.

That is,

t = - 2, - 1, 0, 1

Therefore, the value of t are t = - 2, - 1, 0, 1

To learn more about inequality visit:

https://brainly.com/question/25944814

#SPJ3

Answer:

x = 13

angle A = 97degrees

Step-by-step explanation:

TO GET "x=13"

since the angle is an alternate angle , it adds up to 180deg so :-

A+B =180

6x + 5 + 4x + 45 = 180

then u add the like terms :-

10x + 50 = 180

then u substitute:-

10x = 180-50

10x = 130

10x÷10 = 130 ÷10 ( this is to cancel the 10 )

x = 13

___________________________________________________________________

TO GET "A=97"

since we need the magnitude of A, we need to .... um I dunno how to explain this soo.....

the equation for A = 6x + 5

180 is the sum of the 2 angles so :-

180 - 5 - (13 × 6) 13×6 is because x=13

180 - 5 - 78= 97

I subtracted these since we need to cancel to get to an answer

I hope u get it.... sorry if u can't understand

and sorry once again if this answer.... I did it in a rush

Answer:

4.8

Step-by-step explanation:

Not sure if this is what you're asking but because it is equilateral each side is the same. So you divide 14.4 by 3, to get 4.8.

Answer:

[tex]x^2-9x+20[/tex]

Step-by-step explanation:

Use the distributive property.

[tex](x-5)(x-4)[/tex]

[tex]x^2-5x-4x+20[/tex]

[tex]x^2-9x+20[/tex]

This is already in standard form.

Hope this helps!

Answer:

0.4/1

Step-by-step explanation:

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 30

Answer:

1.2 degree Fahrenheit per minute.

per minute.

Step-by-step explanation:

We are supposed to find the unit rate for 15.6°F in 13 minutes.

To find the unit rate for our given scenario, we will divide 15.6 by 13 as:

Therefore, our required unit rate would be 1.2 degree Fahrenheit per minute.

Bran has to make in all to walk a total of 28 kilometers  : 4 x 2 = 8 ( trips )

ok done. thank to me :>

Answer:

$180

Step-by-step explanation:

150 ÷ 25 = 6

6×3 = 18

18×10 = 180

The total value of the coupons that were given out is $180.

Correct option is (D).

The study and use of numbers, their relationships, and mathematical observations are topics covered by the area of mathematics known as arithmetic. The fundamental ideas in number theory, measurement, and computation are sometimes included under the umbrella word "arithmetic" (that is, the processes of addition, subtraction, multiplication, division, raising to powers, and extraction of roots).

As per the given data:

3 out of every 25 customers receive a $10 coupon to use on their next visit.

Customers at the restaurant today = 150

For 25 customers = 3 coupons

For (25 × 6 = 150) customers = (3 × 6 = 18) coupons

Total value of the coupons = 18 × 10 = $180

Hence, the total value of the coupons that were given out is $180.

To learn more about arithmetic, click:

brainly.com/question/23848329

#SPJ2

Answer:

This is a contradiction

Answer:

$8000

Step-by-step explanation:

For every $1000 Katrina sells, she earns $75. This is becuase when we multiply what she sold by her commision price, we get what she made

If we want to find how much she needs to make to earn $600, we can divide 600 by 75. This gives us 8. So, she will need to sell $8000 in order to earn $600