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Len [333]
3 years ago
7

Find the range of the following data set: 6,2,59,12,11,9,9,54,54,46,2,32,43,11

Mathematics
1 answer:
Mkey [24]3 years ago
3 0
Range is simply just the boundary that a set of numbers pass. So you need to find the largest and smallest values. So that would be 2 and 59. Therefore the range would be 2-59
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What is the value of the expression when p = 7? 9p-7 A. 12 B.27 C.36 D.60
professor190 [17]

Answer:

56

Step-by-step explanation:

Just substitute 7 for p in the expression 9p - 7:  9(7) - 7 = 56

6 0
3 years ago
Show work and solve for √ ( 5 x − 9 ) − 1 = x.
Mandarinka [93]

sqrt (5x - 9) - 1 = x

sqrt(5x - 9) = x + 1

Square both sides:_

5x - 9 = x^2 + 2x + 1

x^2 - 3x + 10 = 0

(x - 5)(x + 2) = 0

x = 5 or -2.

Lets look for for any extraneous solutions:-

x = 5 ;  sqrt (5*5-9) - 1 = sqrt16 - 1 =  3  and  x = 3  (right hand side of equation)

so x = 5 is a solution

x = -2:  sqrt(5*-2 - 9) - 1 =  sqrt (-19) - 1  and x = -2  so this is extraneous

Answer:- One solution x = 5

4 0
3 years ago
Read 2 more answers
there are five bells which ring at interval of 4,5,12 and 15 minutes respectively at what minute those bells ring at the same ti
Rus_ich [418]
<h3>Answer:   60 minutes</h3>

=====================================================

Explanation:

Let's find the LCM of 4 and 5, which are the first two items of the list.

  • multiples of 4 are: 4,8,12,16,20,24,...
  • multiples of 5 are: 5,10,15,20,25,...

The smallest item in each list is 20, so the LCM of 4 and 5 is 20.

We can replace the "4,5" in the list "4,5,12,15" with "20". So our new list would be "20,12,15".

We then repeat the process of finding the LCM of the first two items

  • multiples of 20 are: 20,40,60,80,...
  • multiples of 12 are: 12,24,36,48,60,72,...

LCM of 20 and 12 is 60.

The list "20,12,15" condenses to "60,15".

Repeat this process of finding the LCM once more and you'll find the overall LCM is 60.

Therefore, the LCM of the entire set {4,5,12,15} is 60. This is the smallest multiple shared by all four values. Interestingly enough, the outer values pair up to multiply to 60, and so do the inner values.

4*15 = 60

5*12 = 60

The bells ring together every <u>60 minutes</u>

In other words, all of the bells ring together at the same time every hour (perhaps at the top of every hour; eg at 7:00 pm and at 8:00 pm, etc).

8 0
2 years ago
Simplify the expression: In(e^5x)
Katena32 [7]
ln(e^{5x})=5xlne=5x\\--------------------\\Use:\\log_ab^c=c\times log_ab\\\\log_aa=1
6 0
3 years ago
Read 2 more answers
I WILL MARK BRAINIEST
Juli2301 [7.4K]

Answer:

blank 1: x-2

blank 2: y-12

blank 3: translation

Step-by-step explanation:

7 0
3 years ago
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