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alexandr402 [8]
3 years ago
14

You need to put your reindeer, Balthazar, Rudy, Jebediah, and Ezekiel, in a single-file line to pull your sleigh. However, Ezeki

el and Jebediah are best friends, so you have to put them next to each other, or they won't fly.
How many ways can you arrange your reindeer?
Mathematics
1 answer:
Strike441 [17]3 years ago
7 0

Answer:12

Step-by-step explanation:

Given

Balthazar,Rudy,Jebediah and Ezekiel in a single-File line to pull sleigh

Jebediah and Ezekiel Stay together

i.e. we need to arrange three person considering Ezekiel and jebediah as Single person

therefore 3 person can  be arrange in 3! ways =6

and also Ezekiel and Jebediah can be arranged in 2 ways

Therefore a total of 2\times 6 ways are possible

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Consider the differential equation: y′′−8y′=7x+1. Find the general solution to the corresponding homogeneous equation. In your a
Margaret [11]

Answer:

yp = -x/8

Step-by-step explanation:

Given the differential equation: y′′−8y′=7x+1,

The solution of the DE will be the sum of the complementary solution (yc) and the particular integral (yp)

First we will calculate the complimentary solution by solving the homogenous part of the DE first i.e by equating the DE to zero and solving to have;

y′′−8y′=0

The auxiliary equation will give us;

m²-8m = 0

m(m-8) = 0

m = 0 and m-8 = 0

m1 = 0 and m2 = 8

Since the value of the roots are real and different, the complementary solution (yc) will give us

yc = Ae^m1x + Be^m2x

yc = Ae^0+Be^8x

yc = A+Be^8x

To get yp we will differentiate yc twice and substitute the answers into the original DE

yp = Ax+B (using the method of undetermined coefficients

y'p = A

y"p = 0

Substituting the differentials into the general DE to get the constants we have;

0-8A = 7x+1

Comparing coefficients

-8A = 1

A = -1/8

B = 0

yp = -1/8x+0

yp = -x/8 (particular integral)

y = yc+yp

y = A+Be^8x-x/8

3 0
2 years ago
Find the measure of Side b. Round to the nearest whole number. b = __ in.
Brrunno [24]
Cos = adjacent over hypotenuse

cos33 = b/170

170cos33 = b

b = 142.574 inches
5 0
2 years ago
Subtract. <br> (2p^2+q)-(p^2+q)<br> Is the answer<br> P^2<br> P^2+2q<br> P^2-2q<br> 3p^2
Fofino [41]

Answer:

 -p5q2 - p3q5 + 2p3 + 2pq2 + 2q3  

 ____________________________

              p3q2              

Step-by-step explanation:

            2

Simplify   ——

           q2

Equation at the end of step  1  :

      (p+q)         2

 (((2•—————)-(q3))+——)-p2

      (p3)         q2

Step  2  :

           p + q

Simplify   —————

            p3   (p + q)             2      

 (((2 • ———————) -  q3) +  ——) -  p2

          p3               q2      

Step  3  :    2 • (p + q)            2      

 ((——————————— -  q3) +  ——) -  p2

       p3                q2               q3     q3 • p3

   q3 =  ——  =  ———————

         1        p3  

4 0
2 years ago
Lane is making accessories for the soccer team. He uses 759.46 inches of fabric on headbands for 44 players and 2 coaches. He al
madam [21]

Answer:

Fabric used by each each player for headband is 16.51 inches and fabric used for wristband is 1.99 inches

Step-by-step explanation:

In first case it is given that there are  players and 2 coaches

So total number = 44+2 = 46

It is given that 759.46 inches of fabric is used on headbands for 44 players and 2 coaches

So fabric used by each player =\frac{759.46}{46}=16.51inches

Now in second 87.64 inches fabric is used for 44 players

So fabric used by each players =\frac{387.64}{44}=1.99inches

So fabric used by wristband is 1.99 inches

4 0
3 years ago
Which value of y would make O P is parallel to L N?
alina1380 [7]

Answer:

36 units

If OP is parallel to LN then we have, Substituting the respective values we obtain, Therefore option D is correct, y=36 units make OP||LN.

6 0
2 years ago
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