3. Is there another method to determine this value besides a calculator? What are the pros and cons to using the nCr function on yourgraphing calculator in comparison to the other method(s) you mentioned?

3. Is There Another Method To Determine This Value Besides A Calculator? What Are The Pros And Cons To
3. Is There Another Method To Determine This Value Besides A Calculator? What Are The Pros And Cons To

Answers

Answer 1

Given:

The expression is:

[tex]_{12}C_5[/tex]

Find-:

The value of the expression

Explanation-:

The formula of:

[tex]_nC_r[/tex]

Combination formula:

[tex]_nC_r=\frac{n!}{(n-r)!r!}[/tex]

The given expression is:

[tex]\begin{gathered} n=12 \\ \\ r=5 \end{gathered}[/tex]

So, the value is:

[tex]\begin{gathered} _{12}C_5=\frac{12!}{(12-5)!5!} \\ \\ =\frac{12\times11\times10\times9\times8\times7!}{7!\times5!} \\ \\ =\frac{12\times11\times10\times9\times8}{5!} \\ \\ =\frac{12\times11\times10\times9\times8}{5\times4\times3\times2\times1} \\ \\ =792 \end{gathered}[/tex]

The value is 792.


Related Questions

Help mee pleasee!!




thank you <3

Answers

The linear equation that models the average price of a new home in terms of the year x is given by y = -5600x + 294000 and the average price of a new home would be $238000 in 2014.

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The line must pass through points (0, 294000) and (7, 288400) which is given in the question.

We have to determine the slope of the line :

m = (y₂ - y₁)/(x₂ -x₁ )

m = (288400- 294000)/(7 -0)

m = -5600

This represents new home per year

So with your y-intercept of 294000, your equation becomes

y = -5600x + 294000

Using this equation to predict the average price of a new home in 2014.

Let y be the average price of a new home in the year x, where x = 0 represents the year 2004.

Substitute the value of  x = 10 for the year 2014

y = -5600(10) + 294000

y = -56000 + 294000

y = 238000

Hence, the average price of a new home would be $238000 in 2014.

Learn more about Slope of Line here:

brainly.com/question/14511992

#SPJ1

I need help with my work

Answers

In order to determine the price per orange, calculate the quotient in between 3.78 and 14:

3.78/14 = 0.27

Hence, one orange costs $0.27

The amount of $In each The amount of $ Total

Answers

Let Lydia invest $x

Half of her stock pays 11% dividend.

So mathematically the amount will be

[tex]\frac{x}{2}\times\frac{11}{100}=\frac{11x}{200}[/tex]

With the other half, she pays stocks in 14% interest

So mathematically

[tex]\frac{x}{2}\times\frac{14}{100}=\frac{14x}{200}[/tex]

Her total annual interest is $420

So

[tex]\frac{11x}{200}+\frac{14x}{200}=420\Rightarrow25x=84000\Rightarrow x=3360[/tex]

She invested $3360 in total

And $1680 in each.

Homework 3.4: Compound InequalitiesScore: 10.38/1811/18 answeredQuestion 6<>04Give the interval that describes the set of values shown above.

Answers

Give the interval that describes the set of values shown above

The interval marked in blue has the following features:

* Starts with a filled blue dot at x=2

* Ends with a filled blued dot at x=4

* Runs from x=2 to x=4 with a blue line

The filled dots indicate that the endpoints are included in the interval

The line indicates that all the values in between the interval are included in the interval

There are two basic forms to indicate an interval with included endpoints:

* A pair of values (the endpoints) comma-separated included in a pair of brackets:

Interval: [2,4]

* The closed interval indicated by inequalities signs:

[tex]2\leq x\leq4[/tex]

11x+4<15 or 12x-7>25

Answers

Answer:

Step-by-step explanation:

11x + 4 < 15 or 12x - 7 > 25

      -4   -4              +7   +7

  11x < 11    or     12x > 32

11 (divide) 11  |  12 (divide) 12

x < 1 or x > 2.7

hope this is right!

Find the exact value using a half angle identity: cos 7 pi/8

Answers

Answer:

[tex]\cos \frac{7\pi}{8}=-\frac{1}{2}\sqrt[]{2+\sqrt[]{2}}[/tex]

Explanation:

Given

[tex]\cos \frac{7\pi}{8}[/tex]

Using the identity:

[tex]\begin{gathered} \cos (\frac{7\pi}{2\times4})=\pm\sqrt[]{\frac{1+\cos\frac{7\pi}{4}}{2}} \\ \\ =-\sqrt[]{\frac{1+\frac{1}{\sqrt[]{2}}}{2}} \\ \\ =-\sqrt[]{\frac{2+\sqrt[]{2}}{4}} \\ \\ =-\frac{1}{2}\sqrt[]{2+\sqrt[]{2}} \end{gathered}[/tex]

Find the least common multiple (LCM) of 12 and 18

Answers

Answer:

0.0[infinitely reprating] 1 is the smallest

Answer:

36

Step-by-step explanation:

LCM of 12 and 18 is the smallest number among all common multiples of 12 and 18. The first few multiples of 12 and 18 are (12, 24, 36, 48, 60, 72, 84, . . . ) and (18, 36, 54, 72, . . . ) respectively

i dont know how to do these please help​

Answers

Answer:

Step-by-step explanation:

the formula for this is PV= nRT

where, P=Pressure, V= Volume, n = Number of moles, R= Molar gas constant, T=Temperature

for this question, P AT S.T.P= 101325 Nm^-2, V= ?, n= 1.35 mol, R= 8.31,

T= 273k

fixing the values into the formula we have,

[101325][V]=[1.35][8.31][273]

make V the subject of formula

V= [1.35][8.31][273]/101325

V= 3062.65/101325

V= 0.03 cm^3

What's the next term in the sequence of 1, 8, 27, 81, 243?

Answers

The next term in the sequence of 1, 8, 27, 81, 243 is 729.

What is a sequence?

Sequences are ordered collections of numbers, often known as "terms," such as 2,5,8. There are some sequences that adhere to a particular pattern that allows for endless extension. For instance, 2,5,8 adheres to the "add 3" pattern, thus we may now continue the process. There are formulas for sequences that show us where to find any given term.

It might be good to separate each phrase into its component parts to solve this problem:

1, or 3^0, is a factor of 1.

8 is 2^3

27 is 3^3

81 is 3^4

243 is 3^5

The likelihood of the following phrase is 3^6, or 729.

To learn more about sequences click on the link below:

https://brainly.com/question/12246947

#SPJ9

solve for y 10x+8y=4

Answers

Solve the equation.

[tex]\begin{gathered} 10x+8y=4 \\ 8y=-10x+4 \\ y=-\frac{10}{8}x+\frac{4}{8} \\ =-\frac{5}{4}x+\frac{1}{2} \end{gathered}[/tex]

So y = -5/4 x +1/2.

What are the correct answers the drop down both say negative or positive

Answers

Given the data set:

(-8,-10) (6, -1), (-5,-7),(3, -2) (10, 0) (4,-3) (-3,-6) , (9, 1)

We will graph the points to find the slope of the line of best fit for the data

The graph will be as shown in the following figure:-

As shown, the given points are the dots of blue color

The line of best fit is the dashed red line

As shown, the line has a positive slope and a negative y-intercept

So, the answer will be:

The line of best fit for the data will have a positive slope and a negative y-intercept value.

Drag each tile to the correct box Arrange the cylinders in order from least volume to greatest volume. agindur math a diameter of 28 un and a test of 18 units acide with a radius of 13 units and a height of 17 units a cyinder with a diameter of 30 pts and a hught of 14 units onder with a radius of 12 units and a hot 20 units

Answers

Answer:

Explanation:

The volume of a cylinder is given by

[tex]V=\pi r^2h[/tex]

Now, to correct the order of the cylinders from least to greatest, we have to calculate the volume of each.

(a). A cylinder with a diameter of 28 units and a height of 18 units.

Diameter is 2 times radius; therefore, r = 14 and the volume is

[tex]V=\pi(14)^2\times18[/tex][tex]V=3529\pi[/tex]

(b). A cylinder with a radius of 13 units and a height of 17 units.

The volume is

[tex]V=\pi(13)^2\cdot17[/tex][tex]V=2873\pi[/tex]

(c). A cylinder with a diameter of 30 units and a height of 14 units.

The radius is 15 units; therefore, the volume is

[tex]V=\pi(15)^2\cdot14[/tex]

[tex]V=3150\pi[/tex]

(d). A cylinder with a radius of 12 units and a height of 20 units.

The volume is

[tex]V=\pi(12)^2\cdot20[/tex][tex]V=2880\pi[/tex]

Hence, from least volume to greatest volume the order is

[tex](b)<(d)<(c)<(a)[/tex]

ANGLES what is x,need quick please

Answers

Answer: x = 68

Step-by-step explanation:

Because the 22 degrees and x make up a complementary angle (add up to 90 degrees) we can subtract 22 from 90 to get x.

90-22 = 68

A wire of length 22cm is bent in the shape of a circle . find the area of the circle. if the same wire is recent in the form of a square, find it's area which figure encloses more area​

Answers

The circle is found to have the more area as compered to the square.

What is termed as the perimeter?A perimeter is a loop that encompasses, encircles, or outlines a two-dimensional shape or length. The circumference of a circle or perhaps an ellipse is its perimeter.

For the given question;

The length of the wire is given as 22 cm.

The wire is bent in the circle.

Then, the perimeter of the circle is 22 cm.

Perimeter = 2πr = 22 cm.

Where, π = 3.14 and r is the radius of the circle.

2πr = 22 cm.

r = 11/π 11/3.14

The area of the circle is found as;

Area  = πr²

Put the values.

Area  = 3.14(11/3.14)²

Area = 38.53 cm².

For the square.

Perimeter = 4 side

22 = 4 side

side = 22/4 = 11/2 = 5.5

Area of square = side²

Area of square = 5.5²

Area of square = 30.25 cm².

Thus, the circle is found to have the more area as compered to the square.

To know more about the perimeter, here

https://brainly.com/question/397857

#SPJ10

Determine the x-intercept from the given Coordinate Pairs. * {(-1,8), (0.6). (5:5).(3,0). 1.5.-17)} O r= 3 b = 6 x = ? = -2

Answers

The x interception is when y = 0

the fouth point is (3,0), in that point y is 0 and x is 3

So the x interception is at x = 3

The answer is the first option x = 3

solve for y = x + 8 for x

Answers

[tex]\begin{gathered} y=x+8 \\ \text{Subtract 8 from both sides of the equation} \\ y-8=x+8-8 \\ y-8=x \end{gathered}[/tex]

x = y - 8

(Score for Question 1: of 3 points) 1 1. Mahala is standing and fishing on a dock that is 2 - feet above the surface of the water in the pond. Her baited hook is 1.5 feet below the surface of the water. The surface of the water is represented by the 4 rational number 0. Use the number line to graph the distance the dock, point D. is above the water and the hook, point H, is below the water. Make sure you label each point appropriately. Answer: 3 2 -1 0 1 2 3

Answers

graphing the distance of the dock, point D. is above the water and the hook, point H, is below the water.

See the diagram below :

Point D , is above the water =highlited in yellow.

Point H, the hook, is below the water = shown by colour green.

Which equation that gives the rule for this table.x: 3, 4, 5, 6y: 10, 11, 12, 13A: Y= -x + 7B: Y = x + 7C:Y = 6x + 7OrD: Y= -6 + 7

Answers

To solve this problem we can evaluate te terms in the table in each equation so:

For A) y = -x + 7

we replace (3,10)

[tex]\begin{gathered} 10=-3+7 \\ 10=4 \end{gathered}[/tex]

So A is incorrect.

For B) y = x + 7

we replace (3,10), (4,11), (5,12) and (6,13)

[tex]\begin{gathered} 10=3+7=10 \\ 11=4+7=11 \\ 12=5+7=12 \\ 13=6+7=13 \end{gathered}[/tex]

So B is the correct answer

After 4 months of a new nutrition program rashid has lost 16% of his original weight he lost 36lb what was rashids original weight?

Answers

Rashids original weight based on the information illustrated is 225lb.

What was the original weight?

From the information given, after the nutrition program rashid has lost 16% of his original weight he lost 36lb.

Let the original weight be given as x.

Therefore, 16% × x = 36

0.16x = 36

Divide through by 0.16

0.16x / 0.16 = 36 / 16

x = 36/0.16

x = 225lb

The weight is 225lb.

Learn more about percentages on;

brainly.com/question/24877689

#SPJ1

In the diagram, CD 1 AC, BE 1 AC, AE = 17, BE = 8, and CD = 32. Find DE. 32 D В E 8 17 A 45 51 O 68 O 35 Question 3 1 pts a HE

Answers

Input data

AE = 17

BE = 8

CD = 32

Procedure

[tex]\begin{gathered} \frac{AD}{AE}=\frac{CD}{BE} \\ \frac{AD}{17}=\frac{32}{8} \\ AD=17\cdot\frac{32}{8} \\ AD=68 \end{gathered}[/tex]

Now for DE

[tex]\begin{gathered} AE+DE=AD \\ DE=AD-AE \\ DE=68-17 \\ DE=51 \end{gathered}[/tex]

The answer would be DE=51

ALGEBRA - 30 POINTS
In a volatile housing market, the overall value of a home can be modeled by V(x) = 210x2 – 4400x + 125000, where V represents the value of the home and x represents each year after 2020. Find the vertex and interpret what the vertex of this function means in terms of the value of the home. Show the work you completed to determine the vertex.

Answers

Answer: the vertex is 157x4

Step-by-step explanation:


Miguel bought snacks for his team's practice. He bought a bag of popcorn for $3.33 and a 20-pack of juice bottles. The total cost before tax was $23.33. How much was each bottle of juice?

Answers

The cost of each bottle is $[tex]1[/tex]

Given:

A bag of popcorn costs $[tex]3.33[/tex]Miguel bought [tex]20[/tex]packs of juice bottlesThe total cost before tax was $[tex]23.33[/tex]

To find: Cost of each bottle of juice?

It is given that Miguel bought snacks for his team's practice which includes a bag of popcorn, and [tex]20[/tex] packs of juice bottles out of which the bag of popcorn cost him $[tex]3.33[/tex] , and the total cost before tax of all the items costs him $[tex]23.33[/tex]

Now we have to find that how much each bottle of juice costs him as asked in the given question.

Let the bag of popcorn's amount be x and the pack of bottle juice is y

Now according to the linear equation in two variable

[tex]x*1+y*20=23.33[/tex]........(1)

where 1 is the total pack of popcorn bag and [tex]20[/tex] the amount of bottle juice packs

As we know that [tex]x=3.33[/tex] since a bag of popcorn costs him $[tex]3.33[/tex]

Now put the value of x in (1) hence,

[tex]3.33*1+y*20=23.33[/tex]

On further solving we get,

[tex]20y=20[/tex]

On further solving we get,

[tex]y=1[/tex] as the price of every juice of bottle.

Hence a bottle of juice costs him $[tex]1[/tex]

Learn more about linear equations in two variables here:

https://brainly.com/question/4074386

#SPJ1

Select the correct answer.
What is the completely factored form of this polynomial?
x² + 12x²+32
OA.
O B. (x²+4)(x² + 8)
(x + 4)(X + 8)
O C.
O D.
(x²+4)(x + 2)(x + 4)
(x + 2)(x-2)(x² + 8)
G
Reset

Answers

Factor form of the polynomial (x+8)(x+4)

What is Polynomial?

A polynomial is an equation made up of coefficients and indeterminates that uses only the addition, subtraction, multiplication, and powers of positive-integer variables. x2 4x + 7 is an illustration of a polynomial with a single indeterminate x.

Given polynomial,

x² + 12x+32

x² + 4x + 8x +32

x(x+4) + 8(x+4)

(x+8)(x+4)

Hence, The completely factored form of this polynomial is (x+8)(x+4)

To learn more about Polynomial click on the link

https://brainly.com/question/2833285

#SPJ13

What is the point-slope form of equation of the line that passes through the point (-1, -4) and has a slope of 3?

Answers

Answer:

y - (-4) = 3(x - (-1)

Step-by-step explanation:

Answer:

y−4=−3(x+1)

Step-by-step explanation:

Adalyn uses 1/5 cup of blue paint for every 2/5 cup of red paint to make purple paint. Enter the number of cups of blue paint Adalyn uses for 1 cup of red paint.

Answers

Given that;

Adalyn uses 1/5 cup of blue paint for every 2/5 cup of red paint to make purple paint.

[tex]\frac{1}{5}\text{ cups of blue paint }\rightarrow\frac{2}{5}\text{ cups of red paint}[/tex]

For 1 cup of red paint, the amount of blue paints Adalyn will use is;

[tex]\frac{1}{5}\text{ cups of blue paint }\rightarrow\frac{2}{5}\text{ cups of red paint}[/tex]

In a study of bluetits 12 birds were trapped and their masses and wing spans were measured. The data collected are shown in this table. Calculate the estimated standard deviation for the mass of the bluetits, showing your answer to 3 significant figures.

Answers

The standard deviation of the mass of the bluetits to 3 significant figures is 1.30.

What is the standard deviation?

Standard deviation is used to determine the variation of a dataset. Standard deviation is the spread of a data from the mean of the dataset. The higher the value of the standard deviation, the greater the spread of the dataset.

In order to determine the standard deviation, take the following steps:

Determine the mean of the mass : (9.9 + 9.8 + 12.2 + 13.3 + 11.8 + 10.2 + 12. 3 + 12.9 + 9.2 + 10.3 + 10.7 + 12.1) / 12 = 11.225

Determine the difference between each value and the mean and then square the result and then find the square root. The answer gotten is the standard deviation. 1.30

To learn more about standard deviation, please check: https://brainly.com/question/26201837

#SPJ1

hi i need help as i try with old answer and its wrong

Answers

SOLUTION

The exercise has no question

Determine whether the relation {(6, –3),
(4, 1), (7, –2), (–3, 1)} is a function. Explain.

Answers

Answer:

A ifs it's not right sorry

hurry help DUE TONIGHT Based on the figure, which equation is true? Show your work.

Answers

Okay, here we have this:

Considering the provided figure, that we know an angle, the leg opposite a is an angle and we want to know the hypotenuse, we can use the trigonometric ratios since it is a right triangle, so we obtain the following:

The trigonometric ratio that relates an angle, its opposite leg and the hypotenuse is the sine, therefore that is the one we will use, so we have:

[tex]\begin{gathered} \sin (\vartheta)=\frac{Opp}{Hyp} \\ \sin (32)=\frac{8.5}{x} \end{gathered}[/tex]

Finally we obtain that the correct answer is the first option (A).

Solve using the fractions 5/8 and 1 2/7

Answers

107/56 is the solution of fractions .

What do math fractions mean?

An element of a whole is a fraction. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction.

The given fractions are 5/8 and 1 2/7.

We need to find the sum of given fractions.

Now, we can write 1 2/7 as 9/7.

So, 5/8 + 9/7

Here, LCM of 8 and 7 is 56

Then, 35/56 + 72/56

=(35+72)/56

=107/56

Therefore, the sum of the two given fractions is 107/56.

Learn more about fractions

brainly.com/question/1301963

#SPJ10

Other Questions
what is the value of 5(y+3)-3x^2 when x=4 and y=2? A .23 B. 10 C. 10 D. 23 Solve for X -5x>2(x-14) a 11 g particle is moving to the left at 29 m/s . how much net work must be done on the particle to cause it to move to the right at 33 m/s ? If your being emotionally abused, what is the best thing to do? Which equation represents the ordered pairs in the table? 6 2 12 4 18 6 03 Fill in the Blank TextSimplify the following expression:14a + 3(a + 4b) - 2b Mr jones wants to fence in a rectangular field for his horse using the 600 feet of fence he has stored in his barn. He wants to maximize the area of the field in order to give his horse the most pasture possible. Help mr jones design his field to achieve the maximum area. aisha had 4 yards of fabric she used 3/5 of the fabric to make a backpack.Which fraction shows how many yards of fabric aisha used If we were to take a snapshot of where the photons are inside the sun, and which direction they are traveling, we would find that. What is the population doubling time in years for a country with an annual growth rate of 3. 5 percent?. How many employees did it have a title and round your answer to the nearest whole number Transitional epithelial tissue has the appearance ofO flat cellsO square cellsO long narrow cellsO varying shapes that can stretch. Trisha Is interested in the announcement 4x-3 x=2 4(2)-3 the blank property is used here Why are there more artifacts for archaeologists to find from the plains woodland or village farmer groups? PLEASE HELPSusan is mixing 4% butterfat milk with 1% butterfat milk to create 6 quarts of 2% butterfat milk. How many quarts of each willshe need?O 1 of 4% and 5 of 1% O 2 of 4% and 4 of 1% Read the excerpt.The phrases promised land and mountaintop sounded golden to me, and I saw an ochre-lit field, a lushness akin to a spring dusk. I imagined that the doctor was dreaming of springtime. . . . From the gardening shows my grandmother watched, Id learned the words for flowers I had never seen in person: foxglove, lilac, lily, buttercup.Surrendering,Ocean VuongHow does the authors use of syntax create a thoughtful mood?A. The imperative sentences suggest actions readers should take.B. The sentence length invites readers to create pictures in their minds.C. The parallelism supports the authors argument for readers.D. Repetition allows readers to understand the authors message. The difference between nine times a number and one more than six times the number.the algebraic expression? If you become an addict ...A. you will be an addict for life.B. you can receive treatment and recover.C. you will relapse from any treatment. What is the sum of + 5 16 000 ? 9 B 13. 32 o c. 9 16 D. 13 16