Find the value of x in the diagram below and show work

The probability that there will be no mutual best friendships is\([(n-1)/n]^{(2n)}\).

Given that there are n users in each group, A and B;

For a user in group A, the probability that this user selects someone who is not their mutual best friend is (n-1)/n

The probability that all users in group A choose someone who is not their mutual best friend is

For each user in group B;

the probability of not choosing their mutual best friend is (n-1)/n,

The probability that all users in group B choose someone who is not their mutual best friend is \([(n-1)/n]^{n}\)

The events of users in group A and users in group B choosing their mutual best friends are independent, therefore;

P(no mutual best friendships) = \([(n-1)/n]^n * [(n-1)/n]^n\)

P(no mutual best friendships) =\([(n-1)/n]^{(2n)}\)

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The coefficient of the last term in the binomial expansion is 1.

Given term is (x + 1)⁹.

The algebraic expansion of a binomial's powers is expressed by the binomial theorem or binomial expansion. The process of expanding and writing terms that are equal to the natural number exponent of the sum or difference of two terms is known as binomial expansion.

The binomial expansion formula for (a + b)ⁿ= ⁿC₀(aⁿb⁰)+ⁿC₁(aⁿ⁻¹b¹)+ⁿC₂(aⁿ⁻²b²)+ⁿC₃(aⁿ⁻³b³)+...............+ⁿCₙ(a⁰bⁿ)

Here, a = x, b = 1 and n = 9.

Substituting the values in the formula,

⁹C₀(x⁹{1}₀)+⁹C₁(x⁹⁻¹{1}¹)+⁹C₂(x⁹⁻²{1}²)+⁹C₃(x⁹⁻³{1}³)+......+⁹C₉(x⁰{1}⁹)

The last term is ⁹C₉(x⁰{1}⁹)

The coefficient of the last term = ⁹C₉ = 1.

Hence, the coefficient of the last term in the binomial expansion of (x+1)⁹ is 1.

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Answer:

You keep adding 15.

Step-by-step explanation:

5+15=20

20+15=35

35+15=50

50+15=65

Answer:

64\ units^{3}

Step-by-step explanation:

we have

V=s^{3}

This is the formula to calculate the volume of a cube

where

s is the length side of the cube

In this problem we have

s=4\ units

substitute

V=4^{3}=64\ units^{3}

Answer:

A democratic country has a system of government in which the people have the power to participate in decision-making. ... In some democracies citizens help make decisions directly by voting on laws and policy proposals (direct democracy).

Answer:

the answer is going to be A

Answer:

The 3rd answer

Step-by-step explanation:

Step 1: Rewrite the square root

(8^1/3)^x

Step 2: Multiply exponents

8^(x/3)

Remember when exponenting an exponent, you multiply the 2 exponents together.

Answer: The third choice, 8^(x/3)

Step-by-step explanation:

If you were to right the cube root of 8 in fractional exponent form, it would be 8^(1/3).

Now, we have (8)^1/3*x

Then we multiply 1/3 with x to get:

8^(x/3)

Hope this helps

Answer:

4 ) {2,3}

5) {0,1,2,3,4,5}

6) { }

Answer:tiz x

Step-by-step explanation:

The equation of the perpendicular line is x = 2.

The equation of the given line is y = -3. We have to find the equation of the line that is perpendicular to this line, and it passes through the coordinates (2, 6).

The general equation of a straight line is given below :

y = mx + c

The slope of the line is "m" and the y-intercept is "c".

Compare the equation of the given line. We find that the slope of the given line is zero. So, the slope of the perpendicular should be infinite or not defined.

The equation of the required line is given below :

x = c

The line passes through the point (2, 6).

2 = c

Thus, the equation of the line is x = 2.

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The Annual Percentage Yield (APY) on Blake Hamilton's savings account, which earns an annual interest rate of 3% compounded monthly, is approximately 3.04%.

The APY represents the total annualized rate of return, taking into account compounding. To calculate the APY, we need to consider the effect of compounding on the stated annual interest rate.
In this case, the annual interest rate is 3%. However, the interest is compounded monthly, which means that the interest is added to the account balance every month, and subsequent interest calculations are based on the new balance.
To calculate the APY, we can use the formula: APY = (1 + r/n)^n - 1, where r is the annual interest rate and n is the number of compounding periods per year.
For Blake Hamilton's account, r = 3% = 0.03 and n = 12 (since compounding is done monthly). Substituting these values into the APY formula, we get APY = (1 + 0.03/12)^12 - 1.
Evaluating this expression, the APY is approximately 0.0304, or 3.04% when rounded to the nearest hundredth of a percent.
Therefore, the APY on Blake Hamilton's account is approximately 3.04%. This reflects the total rate of return taking into account compounding over the course of one year.

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Answer:

True, False

Step-by-step explanation:

Answer:

the first one is true

and the second one is false

Step-by-step explanation:

multiplication goes in any other however division does not

example: 4×2=8 and 2×4 is also = 8

but 4÷2 =2 but 2÷4 is not equal to 2

Answer:

30ft

Step-by-step explanation:

so first you start with negative 2 and multiply 3 as the formula of the equation then you plug everything in

Answer:

The Sides are 7ft and thee top is 16ft

Step-by-step explanation:

(x*2+2)+x+x=30

x=7

(7*2+2)+7+7=30

Answer: 6−18

Step-by-step explanation:

Simplifying

(2x + -6) + 4(x + -3) = 0

Reorder the terms:

(-6 + 2x) + 4(x + -3) = 0

Remove parenthesis around (-6 + 2x)

-6 + 2x + 4(x + -3) = 0

Reorder the terms:

-6 + 2x + 4(-3 + x) = 0

-6 + 2x + (-3 * 4 + x * 4) = 0

-6 + 2x + (-12 + 4x) = 0

Reorder the terms:

-6 + -12 + 2x + 4x = 0

Combine like terms: -6 + -12 = -18

-18 + 2x + 4x = 0

Combine like terms: 2x + 4x = 6x

-18 + 6x = 0

Solving

-18 + 6x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '18' to each side of the equation.

-18 + 18 + 6x = 0 + 18

Combine like terms: -18 + 18 = 0

0 + 6x = 0 + 18

6x = 0 + 18

Combine like terms: 0 + 18 = 18

6x = 18

Answer:

the answer should be D

Step-by-step explanation:

because she took the enital 7,000 then she started taking 300 a month and x equals the amount of months

And The Answer is:

..........a)12

Answer:

AINT NOBODY CARES ABOUT SCHOOL

but the amount they spent each month was 145$

In summary, the derivative of the function g(t) = 9t + 8t² is g'(t) = 9 + 16t. The derivative represents the rate at which the function is changing with respect to the variable t.

To find the derivative of the function g(t) = 9t + 8t², we can use the power rule for derivatives. According to the power rule, the derivative of t raised to the power n is n times t raised to the power (n-1).

Taking the derivative of each term separately, we have:

The derivative of 9t with respect to t is 9.

The derivative of 8t² with respect to t is 2 times 8t, which simplifies to 16t.

Therefore, the derivative of g(t) is g'(t) = 9 + 16t. This derivative represents the rate at which the function is changing with respect to t.

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Answer:

2.83 x 10^5 = 283,000

Step-by-step explanation:

When you have the 10^5 multiplying to 2.83, you are moving the number further to the left of the decimal, making it larger every power of 10. if it was 4 powers of 10, the answer would be 28,300, 3 powers of 10 would be 2,830, etc.

PS. I think you forgot to add the decimal in 2.83, 283 x 10^5 is not written in Scientific Notation.

Answer:

6.002722642yd

Step-by-step explanation:

Area to Radius:

Area of a circle = (pi)r(squared)

28.3= pi x r2

28.3/pi = r2

9.0081...=r2

square root of 9.0081...= radius

radius= 3.001361321yd*

Radius to Diameter:

diameter = radius x 2

d = 3.001361321* x 2

d = 6.002722642yd*

*i used the full numbers after the decial point because i didnt know if it had to be to like 1 or 2 decimal places or even 3 so i left it like that just in case but you can just write 3 x 2 or 6yd as your final answer!

Hope this helped :)

Answer:

176

Step-by-step explanation:

Apply PEMDAS

Solve the parenthesis first

11 ( 7 + 9 )

11 ( 16 )

Now open the parenthesis and you will have your answer

11 times 16

176

Step-by-step explanation:

\(1\)

#Hopeitshelp

CON 5 is a standard issued by the Financial Accounting Standards Board (FASB) that pertains to the presentation of comprehensive income in financial statements.

"The objective of financial reporting is to provide information that is useful in making investment and credit decisions.

Comprehensive income provides an inclusive measure of all changes in equity of an enterprise that result from recognized transactions and other economic events of the period other than transactions with owners in their capacity as owners.

In summary, the statements of earnings and comprehensive income aim to provide users of financial statements with information about an enterprise's performance during a period, including all changes in equity that result from recognized transactions and other economic events of the period.

The objective is to provide investors and other users of financial statements with information that is useful in making investment and credit decisions.

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Answer:

Step-by-step explanation:

banana are curved cause they grow toward the sun child

The approximate value of f(1) using Euler's method with two steps of equal size is 6.636. The range of f for t > 0 is 0 < f(t) < 6.

a. The limiting factor in this logistic differential equation is the carrying capacity, which is 6 in this case. As y approaches 6, the growth rate of y slows down, until it eventually levels off at the carrying capacity.

b. To use Euler's method, we first need to calculate the slope of the solution at t=0. Using the given differential equation, we can find that the slope at t=0 is y(0)/8(6-y(0)) = 8/8(6-8) = -1/6.

Using Euler's method with two steps of equal size, we can approximate f(1) as follows:

f(0.5) = f(0) + (1/2)dy/dx|t=0

= 8 - (1/2)(1/6)*8

= 7.333...

f(1) = f(0.5) + (1/2)dy/dx|t=0.5

= 7.333... - (1/2)(7.333.../8)*(6-7.333...)

= 6.636...

Therefore, the approximate value of f(1) using Euler's method with two steps of equal size is 6.636.

c. The range of f for t > 0 is 0 < f(t) < 6, since the carrying capacity of the logistic equation is 6. As t approaches infinity, f(t) will approach 6, but never exceed it. Additionally, f(t) will never be negative, since it represents a population size. Therefore, the range of f for t > 0 is 0 < f(t) < 6.

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Answer:

Triangle A

Acute

Triangle B

Obtuse

Triangle C

Right

Triangle D

Acute

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

A : B : C: total

2   3    4   2+3+4 = 9

Take the number of rolls received 72 and divide by 9

72/9 = 8

Multiply each number by 8

A     :  B    :   C   : total

2*8   3*8    4*8   9*8

 16     24      32    72

C received 32 rolls

The Answer:the answer is D

Step-by-step explanation:

Answer:

To calculate the surface area and volume of a cylinder, we can use the following formulas:

a) Surface Area of a Cylinder:

The surface area of a cylinder consists of two circles (top and bottom) and the curved surface area.

The formula for the surface area of a cylinder is:

SA = 2πr² + 2πrh

Where:

SA = Surface Area

r = Radius of the base (half the diameter)

h = Height of the cylinder

Given that the diameter is 16 yards, the radius is half of that, so r = 8 yards. The height is 20 yards.

Substituting the values into the formula, we get:

SA = 2π(8)² + 2π(8)(20)

= 2π(64) + 2π(160)

= 128π + 320π

= 448π

So, the surface area of the cylinder is 448π square yards.

b) Volume of a Cylinder:

The formula for the volume of a cylinder is:

V = πr²h

Using the same values for the radius (r = 8 yards) and height (h = 20 yards), we can calculate the volume:

V = π(8)²(20)

= 64π(20)

= 1280π

The volume of the cylinder is 1280π cubic yards.