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sergeinik [125]
2 years ago
5

What is 3k-14=3(k-5)+1 ?

Mathematics
1 answer:
stealth61 [152]2 years ago
8 0

Answer:

True

Step-by-step explanation:

3k-14=3(k-5)+1

3k-14=3k-15+1

3k-3k=14-15+1

0=14-15+1

-14=-15+1

-14=-14

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There are eight different jobs in a printer queue. Each job has a distinct tag which is a string of three upper case letters. Th
N76 [4]

Answer:

a. 40320 ways

b. 10080 ways

c. 25200 ways

d. 10080 ways

e. 10080 ways

Step-by-step explanation:

There are 8 different jobs in a printer queue.

a. They can be arranged in the queue in 8! ways.

No. of ways to arrange the 8 jobs = 8!

                                                        = 8*7*6*5*4*3*2*1

No. of ways to arrange the 8 jobs = 40320 ways

b. USU comes immediately before CDP. This means that these two jobs must be one after the other. They can be arranged in 2! ways. Consider both of them as one unit. The remaining 6 together with both these jobs can be arranged in 7! ways. So,

No. of ways to arrange the 8 jobs if USU comes immediately before CDP

= 2! * 7!

= 2*1 * 7*6*5*4*3*2*1

= 10080 ways

c. First consider a gap of 1 space between the two jobs USU and CDP. One case can be that USU comes at the first place and CDP at the third place. The remaining 6 jobs can be arranged in 6! ways. Another case can be when USU comes at the second place and CDP at the fourth. This will go on until CDP is at the last place. So, we will have 5 such cases.

The no. of ways USU and CDP can be arranged with a gap of one space is:

6! * 6 = 4320

Then, with a gap of two spaces, USU can come at the first place and CDP at the fourth.  This will go on until CDP is at the last place and USU at the sixth. So there will be 5 cases. No. of ways the rest of the jobs can be arranged is 6! and the total no. of ways in which USU and CDP can be arranged with a space of two is: 5 * 6! = 3600

Then, with a gap of three spaces, USU will come at the first place and CDP at the fifth. We will have four such cases until CDP comes last. So, total no of ways to arrange the jobs with USU and CDP three spaces apart = 4 * 6!

Then, with a gap of four spaces, USU will come at the first place and CDP at the sixth. We will have three such cases until CDP comes last. So, total no of ways to arrange the jobs with USU and CDP three spaces apart = 3 * 6!

Then, with a gap of five spaces, USU will come at the first place and CDP at the seventh. We will have two such cases until CDP comes last. So, total no of ways to arrange the jobs with USU and CDP three spaces apart = 2 * 6!

Finally, with a gap of 6 spaces, USU at first place and CDP at the last, we can arrange the rest of the jobs in 6! ways.

So, total no. of different ways to arrange the jobs such that USU comes before CDP = 10080 + 6*6! + 5*6! + 4*6! + 3*6! + 2*6! + 1*6!

                    = 10080 + 4320 + 3600 + 2880 + 2160 + 1440 + 720

                    = 25200 ways

d. If QKJ comes last then, the remaining 7 jobs can be arranged in 7! ways. Similarly, if LPW comes last, the remaining 7 jobs can be arranged in 7! ways. so, total no. of different ways in which the eight jobs can be arranged is 7! + 7! = 10080 ways

e. If QKJ comes last then, the remaining 7 jobs can be arranged in 7! ways in the queue. Similarly, if QKJ comes second-to-last then also the jobs can be arranged in the queue in 7! ways. So, total no. of ways to arrange the jobs in the queue is 7! + 7! = 10080 ways

3 0
2 years ago
suppose you create a graph of the cost function, c=20n + 500 of a new bookstore, and you also graph the revenue function, r=25n,
sdas [7]

Answer:

Loss section

Step-by-step explanation:

Given

c = 20n + 500 -- cost

r = 25n -- revenue

Required

Determine where n = 150 is

To do this, we substitute 150 for n in the given functions

c = 20n + 500

c = 20 * 150 + 500

c = 3500

r = 25n

r = 25 * 150

r = 3750

The above shows that the revenue is greater than cost for n = 150.

This implies that, n = 15o is the loss section.

6 0
2 years ago
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Calculate the measure of the arc PQ.
tresset_1 [31]

Answer:

arc PQ = 124°

Step-by-step explanation:

The inscribed angle PRQ is half the measure of its intercepted arc PQ, so

arc PQ = 2 × 62° = 124°

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2 years ago
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What is the value of w if a=184 cm2 and l =23 cm?
notsponge [240]
The calculation of the value of w depends on what is the shape of the given dimension above. The given area of the shape is represented by a which is equal to 184 cm^2. From the formula of the area of the shape you can manipulate and obtain the value of w.
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3 years ago
Point K on the number line shows Kelvin's score after the first round of a quiz: A number line is shown from negative 10 to 0 to
maxonik [38]
3 - 9 = - 6 <=======
4 0
3 years ago
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