Help please as soon as possible :)))

Given:

Total number of friends = 9

Number of friend to invite = 4

To find:

The number of ways.

Solution:

We know that, total number of ways to select r items from n items is

[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]

So, the total number of ways to select 4 people from 9 friends is

[tex]^9C_4=\dfrac{9!}{4!(9-4)!}[/tex]

[tex]^9C_4=\dfrac{9!}{4!5!}[/tex]

[tex]^9C_4=\dfrac{9\times 8\times 7\times 6\times 5!}{4\times 3\times 2\times 1\times 5!}[/tex]

[tex]^9C_4=\dfrac{9\times 8\times 7\times 6}{4\times 3\times 2\times 1}[/tex]

Therefore, the required number of ways is [tex]\dfrac{9\times 8\times 7\times 6}{4\times 3\times 2\times 1}[/tex].

Note: All options are incorrect.

Answer:

[tex]T_{10} = 0.05078125[/tex]

[tex]S_{18} = 51.9998016358[/tex]

Step-by-step explanation:

Given:

Sequence = 26, 13, 6.5 ....

Solving (a): The 10th term

The sequence is a geometric progression and the nth term will be solved using:

[tex]T_n = ar^{n-1}[/tex]

In this case:

[tex]n = 10[/tex]

[tex]r = \frac{T_2}{T_1}[/tex] --- Common Ratio

[tex]r = \frac{13}{26}[/tex]

[tex]r = 0.5[/tex]

[tex]a = 26[/tex] --- First term

So, [tex]T_n = ar^{n-1}[/tex] becomes

[tex]T_{10} = 26 * 0.5^{10-1}[/tex]

[tex]T_{10} = 26 * 0.5^{9}[/tex]

[tex]T_{10} = 26 * 0.001953125[/tex]

[tex]T_{10} = 0.05078125[/tex]

Solving (b): The sum of first 18 terms

This will be calculated using:

[tex]S_n = \frac{a(1 - r^n)}{1 - r}[/tex]

Substitute values for n, a and r

[tex]S_{18} = \frac{26 * (1 - 0.5^{18})}{1 - 0.5}[/tex]

[tex]S_{18} = \frac{25.9999008179}{0.5}[/tex]

[tex]S_{18} = 51.9998016358[/tex]

Hence, the sum of first 18 terms is 51.9998016358

Answer:

C |p| = 4

Step-by-step explanation:

If a player wins 4points during each turn, then, the total points will be +4points

If the player looses 4points, total points lost will be -4points

The total number of point p the player can have will be represented as;

|p| = 4 (since is both positive and negative 4 )

Note that the nodulus of a variable will return both positive and negative value of that variable

Answer:

1/6 lb

Step-by-step explanation:

2/3 * 1/4 = 2/12 = 1/6

Answer:

y = x + 3

Step-by-step explanation:

1 + 3 = 4

2 + 3 = 5

3 + 3 = 6

And so on

Answer:

800

Step-by-step explanation:

1:5 and 1:40000

40000/5 is 800

Actual length is 800.

Hope this helps :D

Answer:

B. (U+V)(U-V)

Step-by-step explanation:

Factoring

The given expression is:

[tex]4x^2-9y^6[/tex]

It should be noted that both terms are perfect squares:

[tex](2x)^2=4x^2[/tex]

[tex](3y^3)^2=9y^6[/tex]

Since it's a difference of squares, we need to use the following pattern to factor the required expression:

[tex](U^2-V^2)=(U+V)(U-V)[/tex]

Thus, the answer is

B. (U+V)(U-V)

Answer:

9

Step-by-step explanation:

f(1/2)=8+2(1/2)

f(1/2)=8+1

f(1/2)=9

Answer:

f ( 1/2 ) = 9

Step-by-step explanation:

Step 1:

f ( x ) = 8 + 2x          Function

Step 2:

x = 1/2              Given

Step 3:

f ( 1/2 ) = 8 + 2 ( 1/2 )        Input x value

Step 4:

f ( 1/2 ) = 8 + 1        Multiply

Answer:

f ( 1/2 ) = 9

Hope This Helps :)

Answer:

[tex]\frac{8}{6}=1\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]3\frac{1}{2}-2\frac{1}{6}[/tex]  Fractions cannot be added or subtracted unless they have the same denominator (bottom number)

[tex]\frac{7}{2}-\frac{13}{6}[/tex]     Change to an improper fraction. Multiply the denominator times the whole number (number on the side) then add to the numerator (top number) and place over the the denominator (3*2+1=7→[tex]\frac{7}{2}[/tex])

[tex](\frac{7}{2}*\frac{3}{3})[/tex] - [tex]\frac{13}{6}[/tex]   In order to give both fractions the same denominator, find the least common denominator (LCD = one number that both denominators will divide evenly into) LCD = 6. Then multiply the top and bottom by a number that gives the LCD. We only need to multiply the first fraction  top and bottom by 3.

[tex]\frac{21}{6} - \frac{13}{6} = \frac{8}{6}[/tex]   This is an improper fraction because the numerator is larger than the denominator. To make a mixed number divide the numerator by the denominator and simplify.

[tex]\frac{8}{6} = 1\frac{2}{6} = 1\frac{1}{3}[/tex]   [tex](\frac{2}{6} \frac{divided by}{divided by}\frac{2}{2} = \frac{1}{3})[/tex]

Answer:

2

Step-by-step explanation:

108*2

=216

216

=6^3

PLS GIVE BRAINLIEST

Answer:

1.) ML

2.) congruent

3.) include

4.) congruent

Answer:

The quotient of forty-two and six is seven.

Answer:

The first angle is 68.

Step-by-step explanation:

[tex]x_{1}+x_{2}+x_{3}=180\\x_{1} = 4*x_{2}\\x_{3}=x_{2}+ 78\\4*x_{2} + x_{2} + x_{2}+ 78 = 180\\6*x_{2}=102\\x_{2} = 17\\[/tex]

So [tex]x_{1}=68[/tex] and [tex]x_{3}=95[/tex]

The number of books that can be fit on a shelf is 1 meter long and will be 40.

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

Kaelyn is reading a book.

The book's thickness is 25 millimeters.

Then the number of the books that can be fit on a shelf is 1 meter long will be

Let x be the number of the books.

The thickness of the book in meters will be 0.025 m.

Then we have

0.025x = 1

         x = 1 / 0.025

         x = 40

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

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

Step-by-step explanation:

slope formula: [tex]\frac{y{2}-y{1} }{x{2}-x{1}}[/tex]

x1 and y1 are (-2, -1)

x2 and y2 are (4, 3)

[tex]\frac{3-(-1)}{4-(-2)}[/tex]

[tex]\frac{3+1}{4+2}[/tex]

[tex]\frac{4}{6}[/tex]

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

Note: As you missed to add the graph of mentioning the complete question.

So, I am solving your concept based on an assumed graph which I have attached. It would anyways clear your concept.

Answer:

Please check the explanation!

Step-by-step explanation:

Given the attached graph below, it is clear that the right angle triangle ABC is shown.

Here are some of the information we can get from the right angle triangle ABC such as:

We have to determine the unknown side 'x' using the trigonometric ratios

As

tan Ф = opp/adjacent

From the diagram it is clear that

Ф = 30°

opp=8

adjacent = BC = x

so

tan Ф = opp/adjacent

tan 30 = 8/x

1/√3 = 8/x

x = 8×√3

x = 13.9

Therefore, the missing length will be: x = 13.9

Answer:

18 lawns

Step-by-step explanation:

Lets take the number of lands that would be mow(ed) in 36 hours as x

Hence,

[tex]Thriugh\ the\ proportion\ method\ , we\ get\ \\\\3 : 6::x:36\\36*3=6x\\\frac{36*3}{6} =x\\\frac{108}{6}=x\\x=18[/tex]

Answer:

contrapositive

Step-by-step explanation:

Answer:

< EAC = 31 (small angle of blue triangle)

< BCA = 31 (small angle of green triangle)

< ABC = 104 (big angle of green triangle)

< BDC = 45 (yellow triangle)

< BDF = 135 (outside yellow triangle)

< AEG = 76 (outside blue triangle)

Answer:

40 Apple juice and 20 Orange juice

Step-by-step explanation:

From the diagram, you know that 4 OJ makes one drink, so to make 5 drinks, you need 5 times that, or 20 OJ. You can also see that you need twice as much AJ as OJ, so that means you need 40 AJ.

*OJ = Orange juice and AJ = Apple juice

Answer: These are possible solutions:

(0,2) (1,3) (2,4)

Hope this helps..:)

Answer:

♡ hi there, madi here! ♡

hope your having a great day.

I did the math so here's your answer.

2x−3)(x−3)=0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

2x-3=0.   x-3=0

Set the first factor equal to 0 and solve.

x=3/2

Set the next factor equal to 0 and solve.

x=3

Therefore, the final solution is all the values that make (2x-3) (x-3)=0 true. x=3/2,3♡

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Answer:

do you have an image for that?

Step-by-step explanation:

Answer:

{2.3, 5.0, 7.5, 10.0, 12.5} Option b

Step-by-step explanation:

Domain is the input values and the range is the output values. The y values.

Answer:

b

Step-by-step explanation:

Answer:

$2.25 per movie

Step-by-step explanation:

3(4)= $12

$12-$3= $9

$9/4= $2.25