There are 7 movies that Christine wants to see over winter break. She only has time to see 4 of the movies. How
many different groups of 4 movies are possible, if the order in which they are seen is not important?

Answers

Answer 1

Answer:

35

Step-by-step explanation:

sdfghjkolkgdsdfghjkl

Answer 2

The possible number of the group the movies will be 840.

What are permutations and combinations?

Permutation and combination are counting principles that are used in a variety of situations. A permutation is a count of the various arrangements that can be made from a given set of items. Details matter in permutation because the order or sequence is important.

Given that there are 7 movies that Christine wants to see over winter break. She only has time to see 4 of the movies.

The combinations will be calculated as:-

Combination = ⁷C₄

Combination = ( 7 x 6 x 5 x 4 )

Combination = 840

To know more about permutation and combination follow

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Related Questions

Please help!!! Will give brainliest to the first correct answer!

Answers

Answer:

a. (-4,8)

Step-by-step explanation:

the two lines intersect at this point

OKAY, 66% WE NEED AN 80! PLEASE HELP!

Answers

Answer:

Hi again:

77 square millimetres

Step-by-step explanation:

Have a good day :)

Answer:

56 mm²

Step-by-step explanation:

12 - 4 = 8

8 · 7 = 56

56 ÷ 2 = 28

28 mm²

28 mm² + 28 mm²

56 mm²

please help! i will give brainliest if you answer all and correctly

Answers

Answer:  a is 21 b is 45 and c is yes more people are going above because the median is above the speed limit

Step-by-step explanation:

A delivery driver estimates his truck uses an average

of 22.5 gal of fuel per day. This estimate is within 4%

of the actual fuel the driver records each day for one

month

Answers

Answer:

18.5 - - - - NO

24.3 ____ NO

21.6 __ YES

26.5 ___No

23.3 ___ YES

Step-by-step explanation:

Estimate = 22.5 gallons

Error margin = 4%

Hence ;

4% of 22.5 = 0.9

Actual usage :

(22.5 - 0.9) = 21.6

(22.5 + 0.9) = 23.4

Actual usage is within (21.6 ; 23.4)

Hence,

18.5 - - - - NO

24.3 ____ NO

21.6 __ YES

26.5 ___No

23.3 ___ YES

please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

78.87. I got the same answer as the first person, kudos to you :)

Barnes and Noble had a $1.00 annual dividend during 2008. If you owned 500 shares
of Barnes and Noble, how much did you receive on a quarterly dividend check?

Answers

Answer:

Is the annual dividend 1 dollar per share? Because if so, that means you would get 500 dollars yearly, and then divide that by 4 to get quarterly, making the answer 125 dollars in the quarterly check.

The amount that you receive on a quarterly dividend check will be $125.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Barnes and Noble had a $1.00 annual dividend in 2008. If you owned 500 shares of Barnes and Noble. Then the cost of the 500 shares will be

⇒ 500 x $1

⇒ $500

Then the amount that you receive on a quarterly dividend check will be

⇒ $500 / 4

⇒ $125

The amount that you receive on a quarterly dividend check will be $125.

More about the Algebra link is given below.

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Which of the following exponential functions represents the graph below

Answers

Answer:

option B

Step-by-step explanation:

Find a formula for dy/dx if sin x + cos y + sec(xy) = 251

Answers

Answer:

[tex]\displaystyle \frac{dy}{dx} = \frac{-cos(x) - ysec(xy)tan(xy)}{-sin(y) + xsec(xy)tan(xy)}[/tex]

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Factoring

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Trig Differentiation

Derivative Rule [Chain Rule]:                                                                                       [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Implicit Differentiation

Step-by-step explanation:

Step 1: Define

Identify

sin(x) + cos(y) + sec(xy) = 251

Step 2: Differentiate

[Implicit Differentiation] Trig Differentiation [Chain Rule]:                             [tex]\displaystyle cos(x) - sin(y)\frac{dy}{dx} + sec(xy)tan(xy) \cdot (y + x\frac{dy}{dx}) = 0[/tex]                       [Subtraction Property of Equality] Isolate  [tex]\displaystyle \frac{dy}{dx}[/tex]  terms:                                     [tex]\displaystyle -sin(y)\frac{dy}{dx} + sec(xy)tan(xy) \cdot (y + x\frac{dy}{dx}) = -cos(x)[/tex][Distributive Property] Distribute sec(xy)tan(xy):                                            [tex]\displaystyle -sin(y)\frac{dy}{dx} + ysec(xy)tan(xy) + xsec(xy)tan(xy)\frac{dy}{dx} = -cos(x)[/tex][Subtraction Property of Equality] Isolate  [tex]\displaystyle \frac{dy}{dx}[/tex]  terms:                                     [tex]\displaystyle -sin(y)\frac{dy}{dx} + xsec(xy)tan(xy)\frac{dy}{dx} = -cos(x) - ysec(xy)tan(xy)[/tex]Factor out  [tex]\displaystyle \frac{dy}{dx}[/tex]:                                                                                                   [tex]\displaystyle \frac{dy}{dx}[-sin(y) + xsec(xy)tan(xy)] = -cos(x) - ysec(xy)tan(xy)[/tex][Division Property of Equality] Isolate  [tex]\displaystyle \frac{dy}{dx}[/tex]:                                                      [tex]\displaystyle \frac{dy}{dx} = \frac{-cos(x) - ysec(xy)tan(xy)}{-sin(y) + xsec(xy)tan(xy)}[/tex]

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Implicit Differentiation

Book: College Calculus 10e

Tad runs one-half mile for every one-third mile that
Elaine runs. If together they run a total of 10 miles, how
far does Tad run?

Answers

Answer:

Tad ran 6 miles while Elaine ran 4 miles.

Step-by-step explanation:

Since Tad runs one-half mile for every one-third mile that Elaine runs, to determine, if together they run a total of 10 miles, how far does Tad run, the following calculation must be performed:

0.5 x 2 = 1

0.333 x 2 = 0.666

10 / 1.666 = X

6 = X

6 x 1 = 6

6 x 0.666 = 4

Therefore, Tad ran 6 miles while Elaine ran 4 miles.

A(t) = 110000(1 + 0.06)2025

Answers

A=1250 Because just put all of it in your calculator and that’s what I got

What is the range of {(0, 2), (1, 3), (2, 4), (1,4)}

Answers

Answer:

Mean: 2.125

median: 2

range: 4

Let f(x) = cos(x) + 2x.
Where does f have critical points?

Answers

Answer:

f has no critical points.

Step-by-step explanation:

We are given:

[tex]f(x)=\cos(x)+2x[/tex]

A function has critical points whenever its derivative equals 0 or is undefined.

Differentiate the function:

[tex]f'(x)=-\sin(x)+2[/tex]

Since this will never be undefined, solve for its zeros:

[tex]0=-\sin(x)+2[/tex]

Hence:

[tex]\displaystyle \sin(x)=2[/tex]

Recall that the value of sine is always between -1 and 1.

Thus, no real solutions exist.

Therefore, f has no critical points.

The truck shop needed 20 liters of milk.They ordered personal size weighing 500ml.How much boxes of milk did they order

Answers

50 :::::::::::))))))))))))))))))))))))))))))))

can someone please help me

Answers

Answer:

yeah what you need help with

Find the simple interest earned for the account

$300 at 13% annual interest for 9 years

Answers

9514 1404 393

Answer:

  $351

Step-by-step explanation:

Use the simple interest formula for this.

  I = Prt

where P is the invested amount at annual rate r for t years.

Using your values, we find the interest to be ...

  I = $300·0.13·9 = $351

The account will earn #351 in interest over 9 years.

The five members of the Garcia family each buy train tickets. During the train ride, each family member buys a boxed lunch for $6.00. If the total cost of the trip is $240, what is the price of each train ticket? Show me the equation and show me the steps to solve it and finish with a sentence describing what a train ticket costs.

Answers

Answer:

A train ticket costs $42

Step-by-step explanation:

5x + 30 = 240 (6 * 5 = 30, cost of lunch times 5 members of family)

5x = 240 - 30

5x = 210

x = 42

A train ticket costs $42.

=-= 50 Points =-= Must give the correct answer

Solve by equating exponents and using the Equality of Bases Property.


Solve (2)^x/2 = 16 for x

Answers

Answer:

x=5

Step-by-step explanation:

(2)^x/2 = 16

Multiply both sides by 2

(2)^x/2 *2 = 16*2

2^x = 32

Rewrite 32 as a power of 2

2^x = 2^5

x=5

Answer:

x=5

Step-by-step explanation:

(2)^x/2 = 16

Multiply both sides by 2

(2)^x/2 *2 = 16*2

2^x = 32

Rewrite 32 as a power of 2

2^x = 2^5

x=5

Mr. Johnson buys 5 bottles of lemonade for the school plenie, He buys four 28-
ounce bottles and one 64 ounce bottle. Using rounding to the nearest ten, about
how much lemonade does Mr. Johnson buy in all?

Answers

Answer:

He bought about 176 ounces or 22 cups, or 5.2 liters.

Step-by-step explanation:

1.) 4 * 28 = 112

2.) 112 + 64 = 176 (answer in ounces)

3.) 8 ounces in a cup

4.) 176 ÷ 8 = 22 (answer in cups)

5.) About 4.227 cups in a liter

6.) 22 ÷ 4.227 = 5.204636858

7.) Round to the nearest tenth = 5.2 (answer in liters)

please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

360 cubic inches (remember your units!)

Step-by-step explanation:

the formula for volume of a rectangular prism is length times width times height times depth so you have to do 8 times 5 times 9 witch is 360 cubic inches

What are the measures of ∠1, ∠2, and ∠3? Enter your answers in the boxes

Answers

1=60 2=60 3=120

All angles of the triangle are equal.

180-60=120

I need help wit this

Answers

43!!!!! jahshwhwhwhehhehehehehehehehehehehehshehehehhehehehshshshhehehehe
the answer is 43 i think

i’m think it’s A or C. help :(

Answers

Answer:

girly

Step-by-step explanation:

I'd tell u to go with c I could be wrong tho but that's my guess and tell me if I got it right okay?

Step-by-step explanation:

the answer is n²

n plus n is 2n

and we have 2n as option b.. pls the answer is 2n

Which expression is equivalent to 4f2/3 ÷ 1/4f ?

Answers

the first answer: 16f^3/3

Answer:

[tex] \frac{16 {f}^{3} }{3} [/tex]

Step-by-step explanation:

[tex] \frac{4f^{2} }{3} \div \frac{1}{4f} [/tex]

[tex] \frac{4 {f}^{2}}{3} (4f)[/tex]

[tex]4 \frac{4 {f}^{2} }{3} f[/tex]

[tex] \frac{16 {f}^{2} }{3} f[/tex]

[tex] \frac{16 {f}^{3} }{3} [/tex]

Hope it is helpful....

find the value of x
PLS HELP

Answers

Answer:

75o

Step-by-step explanation:

2x+5 = 155 (parallel lines)

x=(155-5)/2=75 deg

Find the exact value, without a
calculator.
710
6
sin
2
tan
12
6
2
7Tt/6
COS

Answers

Answer:

[tex]-2 -\sqrt{3}[/tex]

Step-by-step explanation:

First consider numerator

[tex]sin \frac{\frac{7\pi}{6}}{2} = sin \frac{7\pi}{12}= sin (\frac{\pi}{4} + \frac{\pi}{3})[/tex]

Using the formula : sin (A + B) = sin A cos B + cos A sin B

[tex]sin \frac{\pi}{4} = \frac{\sqrt{2} }{2}, \ cos \frac{\pi}{4} = \frac{\sqrt{2} }{2}\\\\sin \frac{\pi}{3} = \frac{\sqrt{2} }{2}, \ cos \frac{\pi}{3} = \frac{1}{2}[/tex]

[tex]sin(\frac{\pi}{4} + \frac{\pi}{3}) = sin \frac{\pi}{4} \cdot cos \frac{\pi}{3} + cos \frac{\pi}{4} \cdot sin \frac{\pi}{3}[/tex]

                [tex]=\frac{\sqrt{2} }{2} \cdot \frac{1}{2} + \frac{\sqrt{2} }{2} \cdot \frac{\sqrt{3} }{2} \\\\= \frac{\sqrt{2} }{4} + \frac{\sqrt{6} }{4}\\\\=\frac{\sqrt{2} +\sqrt{6} }{4}[/tex]

Second consider denominator

[tex]cos \frac{\frac{7\pi}{6}}{2} = cos \frac{7\pi}{12}= cos (\frac{\pi}{4} + \frac{\pi}{3})[/tex]

Using the formula : cos (A + B) = cos A cos B - sin A sin B

[tex]sin \frac{\pi}{4} = \frac{\sqrt{2} }{2}, \ cos \frac{\pi}{4} = \frac{\sqrt{2} }{2}\\\\sin \frac{\pi}{3} = \frac{\sqrt{2} }{2}, \ cos \frac{\pi}{3} = \frac{1}{2}[/tex]

[tex]cos(\frac{\pi}{4} + \frac{\pi}{3}) = cos \frac{\pi}{4} \cdot cos \frac{\pi}{3} -sin \frac{\pi}{4} \cdot sin \frac{\pi}{3}[/tex]

[tex]=\frac{\sqrt{2} }{2} \cdot \frac{1}{2} - \frac{\sqrt{2} }{2} \cdot \frac{\sqrt{3} }{2}\\\\=\frac{\sqrt{2}}{4} - \frac{\sqrt{6}}{4}\\\\= \frac{\sqrt{2} -\sqrt{6} }{4}[/tex]

Therefore,

           [tex]tan \frac{7\pi}{12} = \frac{sin \frac{7\pi}{12}}{cos\frac{7\pi}{12}}[/tex]

                     [tex]= \frac{\frac{\sqrt{2} +\sqrt{6} }{4}} {\frac{\sqrt{2} -\sqrt{6} }{4} }\\\\=\frac{\sqrt{2} +\sqrt{6} }{4} \times \frac{4 }{\sqrt{2} -\sqrt{6}}\\\\=\frac{\sqrt{2} +\sqrt{6} }{\sqrt{2} -\sqrt{6}}[/tex]

Either we can stop here or Rationalize the denominator:

[tex]\frac{\sqrt{2} +\sqrt{6} }{\sqrt{2} -\sqrt{6}} \times \frac{\sqrt{2} +\sqrt{6} }{\sqrt{2} +\sqrt{6}} = \frac{(\sqrt{2} +\sqrt{6})^{2} }{(\sqrt{2})^2 -(\sqrt{6})^2} = \frac{2 + 6 +2\sqrt{12} }{2-6} = \frac{8+2\sqrt{12} }{-4} = \frac{8+ 4\sqrt{3} }{-4} = -2-\sqrt{3}[/tex]

Help me find the mean mode range median

Answers

Answer:

Mean=2.53

median=2

mode=2

range=3

Step-by-step explanation:

1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4

MEAN

Add up all data values to get the sum

Count the number of values in your data set

Divide the sum by the count

38/15=2.53

MEDIAN

Arrange data values from lowest to the highest value

The median is the data value in the middle of the set

If there are 2 data values in the middle the median is the mean of those 2 values.

MODE

Mode is the value or values in the data set that occur most frequently.

RANGE

18-15=3

someone help..thanks:)

Answers

Answer:

Step-by-step explanation: hope u like that cus i sike that C?

Answer:

B looks like a 180 degree angle cause its js a straight line and isnt curved or bent. Brainliest plz?

Step-by-step explanation:

What is the value of x?

Enter your answer in the box.

Answers

Step-by-step explanation:

which class are you

just to confirm

hi :)
TODAY IS THE LAST DAY OF SCHOOL YESSSSSSSSSSSSSSSSSSSSSSSSSSSS

KDAFJL;'JKLZBDS KJ.XZN,M

Answers

LETS GOOOOOOOOOOOOOOO

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP PLEASEEEEEEEEEEEE im confused

Answers

Answer:

1.B,C,D

2.A,D,E

I don't really know how to explain it to you but thats your answer :D

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