1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
olga nikolaevna [1]
3 years ago
9

) We throw 9 identical balls into 7 bins. How many different ways are there to distribute these 9 balls among the 7 bins such th

at no bin is empty? Assume the bins are distinguishable (e.g., numbered 1 through 7).
Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
3 0

Answer:

28 ways

Step-by-step explanation:

After placing 1 ball in each of the seven bins, there are two balls left.

If we place both balls in a single bin, there are 7 different ways to place the balls (place both on bins 1 through 7).

If we place each of the remaining balls in a different bin, the number of ways to place the balls is:

n_2=\frac{7!}{(7-2)!2!}=7*3=21

The total number of ways to distribute those balls is 21 + 7 = 28 ways.

You might be interested in
the area A, of a square whose side has length s is given by A=s^2. calculate the length, s, of the side of a square as the posit
Romashka [77]

Given that the area of this square is 361 ft^2, the side length is √(361 ft^2), or 19 ft.

8 0
3 years ago
Find the general solution to 3y′′+12y=0. Give your answer as y=... . In your answer, use c1 and c2 to denote arbitrary constants
lozanna [386]

Answer:

y(x)=c_1e^{2ix}+c_2e^{-2ix}

Step-by-step explanation:

You have the following differential equation:

3y''+12y=0     (1)

In order to find the solution to the equation, you can use the method of the characteristic polynomial.

The characteristic polynomial of the given differential equation is:

3m^2+12=0\\\\m^2=-\frac{12}{3}=-4\\\\m_{1,2}=\pm2\sqrt{-1}=\pm2i

The solution of the differential equation is:

y(x)=c_1e^{m_1x}+c_2e^{m_2x}   (2)

where m1 and m2 are the roots of the characteristic polynomial.

You replace the values obtained for m1 and m2 in the equation (2). Then, the solution to the differential equation is:

y(x)=c_1e^{2ix}+c_2e^{-2ix}

4 0
3 years ago
Suppose you buy 4 buckets of apples and 5 buckets of peaches for $64. If you bought 8
Sophie [7]

Option D is the correct answer.

Step-by-step explanation:

Step 1 :

Let A represent the cost of one bucket of apple and P represent the cost of one bucket of peaches.

So we have ,

4 buckets of apples and 5 buckets of peaches for $64

8  buckets of apples and 3 buckets of peaches for $72

Writing this in the equation form we have,

4A + 5P = 64

8A + 3P = 72

Step 2:

Solving for the above 2 equations we can get the required costs

Equation 1 is

4A + 5P = 64 , Multiplying this by 2 we have 8A + 10P = 128

Equation 2  = 8A + 3P = 72

Subtracting both we have , 7p = 56 = > P = 8

Substituting this in equation 1 we have

8A + 80 = 128 => A = 6

Hence the cost of one bucket of apple is $6 and the cost of one bucket of apple is $8.

Option D is the correct answer.

3 0
3 years ago
Read 2 more answers
Find the missing factor BBB that makes the equality true. -35x^6=(-5x^2)(B)−35x 6 =(−5x 2 )(B)minus, 35, x, start superscript, 6
Sveta_85 [38]

Answer:

B=7x^4

Step-by-step explanation:

The given equality is

-35x^6=(-5x^2)B

Take the term (-5x^2) to the left hand side. This means the term -35x^6 will be divided by (-5x^2)

\dfrac{-35x^6}{(-5x^2)}=B

Now since both the numerator and denominator have negative sign the value of fraction will be positive.

\dfrac{35x^6}{(5x^2)}=B

Now 5\times 7=35 and x^{6-2}=x^4

7x^4=B

So, the missing factor B=7x^4

4 0
3 years ago
Graph the line that goes through the point (-6,-2) with slope of 1
vekshin1

Answer:

<h2>Check out the image.</h2>

Step-by-step explanation:

Let, the equation of the straight line is y = mx + c; where m is the slope of the equation and c is the constant.

The line has the slope 1.

Hence, the equation becomes y = x + c.

Since, the line passes through (-6, -2), -2 = -6 + c or, c = 4.

Hence, the equation of the straight line becomes y = x + 4.

Putting x = 0, we get, y = 4.

The line passes through (0, 4).

7 0
3 years ago
Other questions:
  • M &lt;1= <br><br> A. 40<br> B. 80<br> C. 160
    6·1 answer
  • The length of a rectangle is one unit more than the width. if the area is 30 square units find the dimensions of the rectanhgle
    8·1 answer
  • Use the rules for significant figures to find the answer to the addition problem 21.4 + 15 + 17.17 + 4.003
    8·1 answer
  • 17 lb 2 oz − 6 lb 4 oz = pls help by saying blank pounds blank ounces thk
    7·2 answers
  • 10 × 100+ 2749 × 1828827
    15·2 answers
  • How do you factor x^2+7x+12
    5·2 answers
  • PLS HELP EASY QUESTIONS
    7·1 answer
  • Which is not a rational number?
    14·1 answer
  • Determine the y intercept for the linear function 3x - 4y = 24. Show all work for credit.
    9·2 answers
  • I need help what is 7h+1−h+4?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!