which of the following demonstrates how the 20 is calculated using the combination pattern​

Which Of The Following Demonstrates How The 20 Is Calculated Using The Combination Pattern

Answers

Answer 1

The combination expression that demonstrates how the 20 is calculated using the combination pattern​ is 6C3

Permutation and Combination

While combination has to do with selection, permutation has to do with arrangement.

According to the combination rule

nCr = n!/(n-r)!r!

The expression that gives the result of 20 is expressed below;

6C3 = 6!/(6-3)!3!

6C3 = 6!/3!3!

6C3 = 6!/6*6
6C3 = 720/36
6C3 =20

Hence the combination expression that demonstrates how the 20 is calculated using the combination pattern​ is 6C3

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Related Questions

A macaroni and cheese recipe calls for 2/3 of a 2 1/2 pound block of cheese. How many pounds are needed?

Answers

Answer:

4/6

Step-by-step explanation:

if the pas is a dozen brownies

1/2 of a pan is 6 2/3 of 6 would be 4/6

Can anyone help solve this inequality (ps, also make sure to read the bottom)

Answers

Make the shape into two polygons. A rectangle and a triangle.
Find the area of the rectangle by multiplying lxw.
14x18=252
Then find the area of the triangle
A=l x w/2
20-14=6
18-11=7
6 x 7 = 42
42/2=21
252+21=273
273/5 is about 54
He can fit 54 chickens.

The equation y= -3x7 describes a parabola. Which way does the parabola
open?

Answers

Answer:

See below

Step-by-step explanation:

y = -3 x^7   is NOT a parabola....   y = -3x^2  IS a parabola that opens downward due to the negative coefficient (-3)

MATH!!! 15 points;)) find the surface area of the pyramid
please answer correctly & check your work...

Answers

Answer:

20ft²

Step-by-step explanation:

A money market account is a collection of stock and bonds true or false

Answers

Answer:

A money market fund is a type of mutual fund that invests in high-quality, short-term debt instruments and cash equivalents.

The answer to this question is true

3. What is the surface area of the triangular prism shown below?

Answers

Answer:

1233cm^2

Step-by-step explanation:

a of triangle = 1/2 bh

1/2 x 12 x 9 = 54

108 x 2 = 108

a of regtangle = l x w

25 x 15 = 375

375 x 3 = 1125

total surface area = 1125 + 108 = 1233cm^2

If α and β are the zeros of the quadratic polynomial f(x) = 6x²+x-2, then the value of

1. α²+β²
2. 1/α+1/β​

Can Someone Answer This Quick Thank You<3​

Answers

Answer:

1. α²+β² = 25/36

2. 1/α+1/β​ = 1/2

Step-by-step explanation:

Formula :

Consider the quadratic equation ax² + bx + c = 0

Where x₁ and x₂ are the zeros of the equation.

Then

[tex]x_{1}+x_{2}=-\frac{b}{a} \\x_{1}\times x_{2}=\frac{c}{a}[/tex]

……………………………………

α and β are the zeros of the quadratic polynomial f(x) = 6x²+x-2

Then

[tex]\alpha +\beta =-\frac{1}{6}[/tex]

[tex]\alpha \times \beta =-\frac{1}{3}[/tex]

……………………

[tex]\alpha^{2} +\beta^{2} =\left( \alpha +\beta \right)^{2} -2\alpha \beta[/tex]

            [tex]=\alpha^{2} +\beta^{2} =\left( -\frac{1}{6} \right)^{2} -2\times(-\frac{1}{3} )[/tex]

            [tex]=\frac{25}{36}[/tex]

………………………………

[tex]\frac{1}{\alpha } +\frac{1}{\beta } =\frac{\alpha +\beta }{\alpha \beta }[/tex]

          [tex]=\frac{-\frac{1}{6} }{-\frac{1}{3} } =\frac{1}{2}[/tex]

Graph the functions on the same coordinate plane.

f(x)=−x+4

g(x)=x2−2

What are the solutions to the equation f(x)=g(x) ?

Select each correct answer.


3

−3

−2

2

0

Answers

Answer:

[tex]x = 2~\text{and} ~x = -3[/tex]

Step-by-step explanation:

[tex]~~~~~~f(x) = g(x)\\\\\implies -x +4 =x^2 -2\\\\\implies x^2 -2+x -4=0\\\\\implies x^2 +x -6 = 0\\\\\implies x^2 +3x -2x -6 =0\\\\\implies x(x+3) - 2(x+3) = 0\\\\\implies (x-2)(x+3) = 0\\\\\implies x = 2,~ x = -3[/tex]

Answer:

x = -3 and x = 2

Step-by-step explanation:

Plotting the graphs :

f(x)

Find two points (preferably the x and y intercepts)

⇒ 0 = -x + 4

⇒ x = 4

⇒ Point 1 : (4, 0)

⇒ f(x) = 0 + 4

⇒ f(x) = 4

⇒ Point 2 : (0, 4)

g(x)

⇒ g(x) = 0 - 2

⇒ g(x) = -2

⇒ Point 1 : (0, -2)

⇒ g(x) = 2² - 2

⇒ g(x) = 2

⇒ Point 2 : (2, 2)

* Graph with both functions is attached below *

=============================================================

Finding the solutions :

⇒ Equate f(x) and g(x)

⇒ -x + 4 = x² - 2

⇒ x² + x - 6 = 0

⇒ x² + 3x - 2x - 6 = 0

⇒ (x + 3)(x - 2) = 0

x = -3 and x = 2

How to remember nagative exponents how to solve nagative exponents​

Answers

To solve the negative exponents , we have to apply the negative exponent rule or the fractional exponent rule.

How are negative exponent calculated?

To calculate the negative exponent we need to remember about the negative exponent that the base is on the opposite side of the fraction. Here , We need to flip the fraction so that the base will be on the other side.

Negative exponent Rule :-

[tex]a^{-n} = \frac{1}{a^{n} }[/tex]

Now , we will solve a fraction with negative exponent

For example ; Simplify the fraction [tex]\frac{3^{-2} }{9^{-2} }[/tex]

Solution : [tex]\frac{3^{-2} }{9^{-2} } = \frac{9^{2} }{3^{2} }= \frac{81}{9}[/tex]

= 9

Here, 9 is the answer of the above example.

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A 5-course banquet has 3 options for each course.
The number of possible 5-course meals is m.
Find the value of m.

Answers

Total courses =5

Each course has 3 options

5 courses has

5(3)15choices

Hence

m=15

Answer: m = 15

Explanation:

Each (1 course) has 3 options

By multiplication,

5 courses shall have: (5 × 3) = 15 choices

By addition,

Sum of choices for 5 courses: (5 + 5 + 5) = 15 choices

Im Not Understanding!

Answers

It’s basically asking us to figure out how many one halves are in the equation.
There are 9, 1/2’s in the equation, since 3/2 + 3/2 + 3/2 = 9/2.
So you would put 9 in the box, since you’re multiplying the numerator.

Hope this helps!

Answer:

3/2 + 3/2 + 3/2 = 3/1

so 3 over 1 times 1 over 2

please help... Find the volume of pyramid that has a square base. ​

Answers

Answer:

V = 324 cm³

Step-by-step explanation:

the volume (V) of the pyramid is calculated as

V = [tex]\frac{1}{3}[/tex] Ah ( A is the area of the base and h the height )

here A = 9² = 81 cm² and h = 12 , then

V = [tex]\frac{1}{3}[/tex] × 81 × 12 = 27 × 12 = 324 cm³

There is a bag filled with 6 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting at least 1 blue?

Answers

Answer:

What you need to remember for answering this question is that the probability of any event is the number of sample points in the event divided by the number of sample points in the sample space.

If you have multiple trials and if the sampling is with replacement then, no matter how many samples are drawn, the probabilities remain the same for each trial.

rewrite √32/8 into simplified radical form

Answers



Factor out the largest perfect square of 32.
( in this example we factored out 16 )
Rewrite
____
/16⋅2

as the product of two radicals.
The square root of 16 is 4.
Divide numerator and denominator by 4.

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Answers

Answer:

20cm²

Step-by-step explanation:

We can solve this by dividing the volume of the cuboid by the height of the cuboid. The formula for the volume of a cuboid is Length * Width * Height, so dividing the volume will leave us with the Length * Width, which is also the area of the shaded face.

100cm³/5cm = 20cm²

The area of the shaded face is 20cm².

20cm²

Step-by-step explanation:

We can solve this by dividing the volume of the cuboid by the height of the cuboid. The formula for the volume of a cuboid is Length * Width * Height, so dividing the volume will leave us with the Length * Width, which is also the area of the shaded face.

100cm³/5cm = 20cm²

The area of the shaded face is 20cm².

Bryannasalaz

In triangle ABC, points D and E are on sides AB and BC, respectively,
such that DE | AC, and AD:DB = 3:5.
If DB = 6.3 and AC = 9.4, what is the length of DE, to the nearest
tenth?

Answers

The length of DE in the triangles is 5.9

How to determine the length of DE?

The given parameters are:

DB = 6.3

AC = 9.4

AD : DB = 3 : 5

Substitute DB = 6.3 in AD : DB = 3 : 5

AD : 6.3 = 3 : 5

Express as fraction

AD / 6.3 = 3 / 5

Multiply both sides by 6.3

AD = 3.78

The length DE is then calculated using the following ratio:

BD : DE = BA : AC

Where:

BA = BD + AD

This gives

BD : DE = BD + AD : AC

Substitute known values

6.3 : DE = 6.3 + 3.78 : 9.4

Simplify

6.3 : DE = 10.08 : 9.4

Express as fraction

DE/6.3 = 9.4/10.08

Multiply both sides by 6.3

DE = 5.9

Hence, the length of DE is 5.9

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Simplify: -4x542x5
Enter the original expression if it cannot be
simplified.
Enter the correct answer.
000
008
Clear all
+?
DONE

Answers

multiply left to right:


-4 x 542 = -2,168

-2,168 x 5 = -10,840


answer: -10,840

The simplified expression is -4x^(547).

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To simplify -4x^(542)x^5.

You can use the property of exponents that states that when you multiply two terms with the same base, you add their exponents.

So,

-4x^(542)x^5

= -4x^(542+5)

= -4x^(547)

Thus,

The simplified expression is -4x^(547).

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which graph shows that Cindy reads about 3/4 of the time while riding in the car?

Answers

The graph that shows a unit rate of 3/4, which is the time Cindy reads while riding in the car is the graph attached below.

What is Unit Rate?

Unit rate can be described as a constant or exactly how much of one quantity is per 1 unit of another quantity.

Unite rate (k) = x/y.

In the graph attached below, when x (hours driving) = 3, y (hours reading) = 4.

Therefore, unit rate = 3/4. We can then conclude that the graph that shows that Cindy reads 3/4 of the time she rides in a car is the graph attached below.

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rewrite each expression using the distributive property 5x2+35x

Answers

Answer:

Common factor

5x^{2}+35x

5(x^{2}+7x)

2

Rewrite in factored form

5(x^{2}+7x)

5x(x+7)

Solution

5x(x+7)

Step-by-step explanation:

mark me brainlist

What is the circumference of a circle with a diameter of 7 feet? Use 3.14 for
TT.
d=7 ft

Answers

I think the answer is 21.99

Answer:

21.99

Step-by-step explanation:

Which statements are true?

Select each correct answer.


All rhombuses are rectangles.


All parallelograms are quadrilaterals.


All rectangles are squares.


All squares are rhombuses.

Answers

Answer:

OTHER ANSWER IS WRONG

Step-by-step explanation:

B. All parallelograms are quadrilaterals.

D. All squares are rhombuses.

find the solution to x^2 = 24

please answer asap!!!

Answers

Answer:

[tex]C) ~x = \pm 2\sqrt 6[/tex]

Step-by-step explanation:

[tex]~~~~~~x^2 = 24\\\\\implies x = \pm\sqrt{24}\\\\\implies x = \pm\sqrt{4 \times 6}\\ \\\implies x = \pm 2\sqrt 6[/tex]

Answer:

C

Step-by-step explanation:

x² = 24 ( take square root of both sides )

x = ± [tex]\sqrt{24}[/tex] = ± [tex]\sqrt{4(6)}[/tex] = ± ( [tex]\sqrt{4}[/tex] × [tex]\sqrt{6}[/tex] ) = ± 2[tex]\sqrt{6}[/tex]

20.
30a³-26a² - 36a + 8
(10a - 2)

i have to divide

Answers

Answer:

112.8

Step-by-step explanation:

Hope this help!!

What is 2 over 7 is greater than 4 over 12

Answers

The value 2 / 7 is greater than 4 / 12 is  - 1 / 21

How to perform subtraction in algebra?

To know the value 2/7 is greater by 4 / 12, we have to subtract 4 / 12 from 2 / 7 .

Therefore,

2 /  7  - 4 / 12 = 24 - 28/84

Therefore,

24 - 28/84  = - 4/ 84 = - 1 / 21

Therefore, it is greater by - 1 / 21

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You have an account with a principal of $200. it pays 8% at the end of every year. calculate the principal at the end of 3 years.

Answers

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. The principal at the end of 3 years is $248.

What is simple interest?

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,

SI = (P × R × T)/100

where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.

The principal at the end of 3 years is,

Principal after 3 years = P + (P × R × T)

= $200 + ($200 × 0.08 × 3)

= $200 + $48

= $248

Hence, the principal at the end of 3 years is $248.

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I need help asap please? and this is for the math question? what is 77x+93=360? put in a fraction and decimal and you can round to nearest tenths, plus I will give out brainlists to whom ever answers first

Answers

[tex]\\ \rm\Rrightarrow 77x+93=360[/tex]

[tex]\\ \rm\Rrightarrow 77x=360-93[/tex]

[tex]\\ \rm\Rrightarrow 77x=367[/tex]

[tex]\\ \rm\Rrightarrow x=4.77[/tex]

[tex]\\ \rm\Rrightarrow x=4.8[/tex]

Step-by-step explanation:

77x+93 = 36077x = 360-9377x= 367x = 4,77x = 4,8

Aswer with Nina ^-^

Don't report my answer ✅

Write the equation in slope-intercept form for the line with the given slope that contains the given point.
slope = 1; (3,5)

A) y=2x+1
B) y=3x+5
C) y=5x+3
D) y=1x+2

Answers

Answer:

D) y = 1x + 2

Step-by-step explanation:

The general structure of an equation in slope-intercept form is:

y = mx + b

In this equation, "m" stands for the slope and "b" stands for the y-intercept. You can substitute the given value of the slope into the equation. Since you are not given "b", you can plug the value of the points into the half-completed equation (with the slope) and isolate "b".

slope = m = 1

y = (1)x + b

(3,5) ------> y = 5 and x = 3

5 = 1(3) + b

5 = 3 + b

2 = b

Final Equation:

y = 1x + 2

Angle C and angle D are vertical angles. Angle C is 36 degrees. What is the measure of angle D?

Answers

Answer:

Angle D is 36 Degree!

Step-by-step explanation:

In vertical angle theorem, it stated that if two angles are vertical, then they are congruent to each other.

Answer:

d=144°

Step-by-step explanation:

Vertical angles add up to 180

c+d=180

36+d=180

d=180-36

d=144°

can someone please give ,e a good explanation of associative property and examples please​

Answers

Answer:

See below

Step-by-step explanation:

Basically, the associative property states that when an expression has three terms, they can be grouped in any way to solve that expression.

For example, [tex](8*4)*5=8*(4*5)[/tex] if you're doing multiplication, or [tex](8+4)+5=8+(4+5)[/tex], if you're doing addition.

the roof of this garden shed has a gradient of 0.35. find the height of the shed​

Answers

The height of the shed is 2.325 m

The complete question is

The roof of a lean-to-garden shed has a gradient of 0.35.find the height....they have given the base as 1.5m and a shorter height 1.8m its like a house

What is a right Triangle ?

In a Triangle when one angle is 90 degree , the triangle is called Right Triangle .

Structure of the house is a right triangle with base = 1.5m

(height of that triangle)/1.5 = 35/100

height of that triangle = 1.5*0.35 = 0.5250

Ans: greater height of the lean-to = 1.8 + 0.5250 = 2.325 meters.

The height of the shed is 2.325 m.

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