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Andreas93 [3]
3 years ago
8

An arithmetic sequence is represented in the following table. Enter the

Mathematics
1 answer:
pentagon [3]3 years ago
7 0

Answer:

122

Step-by-step explanation:

An arithmetic sequence means a number is added each term.  There is a term for where a number is multiplied as well.  But in this case the first number is -103, the second number is -94 and the third number is -85.  Can you tell what number is added each time?

The number is 9.  -103+9=-94 and -94+9=-85 and so on.  Now we want a way to find the term way further down the line.

Think of it doing it all at once.  -103+9+9 gets us the third term right?  so that's 2*9.  -103+3*9 would get us the fourth.  Hopefully that makes sense, but let me know if it doesn't.  But for a few more examples, if we want the fifth term we would do -103+4*9 and getting the tenth would need -103+9*9.  So basically we take the number term we want (in this case we want the 26th) and then take -103+ n*9, where n is the term we want minus 1, or in this case 25.  so that's -103+25*9

Let me know if you need more of an explanation.

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3 years ago
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DanielleElmas [232]

A. n+12≤-8

B. n+(-8)>12

C. n-(-8)≤12

8 0
3 years ago
What is 150 % of 32 ?
Mnenie [13.5K]

Answer:  48

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

Explanation:

The keyword "of" means multiply

150% converts to the decimal form 1.5; you move the decimal point two spots to the left to go from percent form to decimal form

Putting those two facts together lead to...

150% of 32 = 1.5*32 = 48

----------------

Another approach:

x% = x/100

150% = 150/100 = 1.5

150% of 32 = 1.5*32 = 48

The last step is identical as before, but the conversion of 150% is slightly different this time.

------------------

Yet another approach:

100% of anything is itself

So 100% of 32 is 32

The extra 50% means we take half of 32 to get 16. Then we add that onto the 32 to get 16+32 = 48

5 0
3 years ago
an oil spill covers 8 square miles. Measurements show that the area is tripling every 4 hrs. Find an exponential model for the a
Serjik [45]

Answer: The exponential model for the area would be 8(0.75)^t.

Step-by-step explanation:

Since we have given that

Initial square miles = 8

It gets tripled in every 4 hours.

So, in every 4 hours, it become 3.

In every 1 hour, it becomes \dfrac{3}{4}

So, According to question, an exponential model for the area would be

Ab^t\\\\=8(\dfrac{3}{4})^t\\\\=8(0.75)^t

Hence, the exponential model for the area would be 8(0.75)^t

6 0
3 years ago
A food truck did a daily survey of customers to find their food preferences. The data is partially entered in the frequency tabl
Bogdan [553]

Answer:

Complete the table  :

Likes hamburgers      Does not like hamburgers  Total

Likes burritos                 29                               41                             70        

Does not like burritos    81                               54                            135

Total                                110                            95                             205

54 do not like both hamburgers and burritos

Hence %  = (54/205) * 100  =  26.34 %

marginal relative frequency of all customers that like hamburgers

= 110/205

= 22/41

Step-by-step explanation:

3 0
3 years ago
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