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3 years ago

PLEASE HELP! <3 What is the slope of the line?

Mathematics

1 answer:

GrogVix [38]3 years ago

5 0

Answer:

Step-by-step explanation:

The slope formula is (change in y)/(change in x)

since the numerator (change in y) is 0, the slope will be 0

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Five digit serial numbers for a product are to be made using letters and/or numbers, e.G. JGR29. The serial number could have al

S_A_V [24]

Answer:

1,404,000 serial numbers can be made

Step-by-step explanation:

For the five digit serial numbers, since all letters and all numbers could be used, then we can use 26 letters (A,B,C,...Z) and 10 numbers (0,1,2,...9).

Now, say the letters and numbers are to occupy the labeled spaces below

_ _ _ _ _

1 2 3 4 5

(NOTE: Spaces 1,2,3 are to be occupied by any of the 26 letter while spaces 4 and 5 are to be occupied by any of the 10 numbers)

For space 1, there are 26 possibilities

For space 2, there will be (26 -1 ) 25 possibilities (since repetition of characters is NOT allowed)

For space 3, there will be (26-2) 24 possibilities (since repetition of characters is NOT allowed)

For space 4, we have 10 possibilities

and for space 5, we (10-1) 9 possibilities (since repetition of characters is NOT allowed)

Therefore, the number of serial numbers that can be made is

26 × 25 × 24 × 10 × 9 = 1404000

Hence, 1,404,000 serial numbers can be made

Using permutation, nPr = n!/(n-r)!

For the letters,

n is the total number; n = 26

and r is the number of available spaces, r = 3

For the numbers,

n = 10

r = 2

Then, we get

26P3 × 10P2

26!/(26-3)! × 10!/(10-2)!

26!/23! × 10!/8!

15600 × 90 = 1404000

5 0

3 years ago

In how many ways can 5 students be seated in a row of 5 chairs if jack insists on sitting in the first chair

Rasek [7]

I believe the answer would be 8 because jack will not move

4 0

3 years ago

Solve the problem.

choli [55]

Answer:

6 $\frac{3}{100}$

Step-by-step explanation:

$603 dollars ÷ 100 shoppers = $6.03 per shopper, or 6 $\frac{3}{100}$ as a mixed number

4 0

3 years ago

Help! I'm a little stumped when it comes to variables in matrices. An explanation would be super rad!

iris [78.8K]

Answer:

Step-by-step explanation:

To find the determinant of a 3x3 matrix, you can use this method. (See picture.)

Start with the first number in the top row, and block off the row and column. A 2x2 matrix will be left. Find the determinant of this 2x2 matrix, and multiply it by the number in the top row.

Repeat for the other two numbers in the top row. Add the first result, subtract the second, and add the third.

det A = -2 [(3)(-5) − (a)(0)] − 2 [(0)(-5) − (a)(0)] + b [(0)(0) − (3)(0)]

det A = -2 (3)(-5) − 0 + 0

det A = 30

8 0

3 years ago

Evaluate the expression when n=6<br> n² – 5n-2

eduard

Answer:

Step-by-step explanation:

(6^2) -5(6) -2 =4

that is the answer

8 0

3 years ago

Read 2 more answers