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Nana76 [90]
3 years ago
9

Find the 12th and 37th term for each arithmetic sequence.

Mathematics
1 answer:
shutvik [7]3 years ago
5 0

Answer:

  3.  f(12) = -10; f(37) = -60

  4.  f(12) = -102; f(37) = -352

Step-by-step explanation:

3. Put the numbers in the formula and do the arithmetic:

  f(12) = 12 -2(12-1) = 12 -22 = -10

  f(37) = 12 -2(37-1) = 12 -72 = -60

__

4. The explicit formula for an arithmetic sequence with first term a1 and common difference d is ...

  an = a1 +d(n -1)

Your sequence has a first term a1=8 and a common difference d=-10.

As above, fill in the numbers and do the arithmetic.

  f(12) = 8 -10(12 -1) = -102

  f(37) = 8 -10(37-1) = -352

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3 years ago
What is the value of 4p-2 when p=8
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Answer: Hence, the value of expression is 30 when p = 8.

Step-by-step explanation:

Since we have given that

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3 years ago
Jake is using a horse trailer to take his horses to his new ranch. 1 Horse= 1,200 lb Trailer= 2,700 lb Jake's truck can tow a ma
Kitty [74]

Answer:

Jack can take only 1 horse on his trailer to be towed by the truck without going over the maximum weight the truck.

Step-by-step explanation:

Given:

Weight of 1 horse = 1,200 lb

Weight of trailer = 2,700 lb

Jacks'truck can tow a maximum of 5000 pounds.

To find the maximum number of horses Jack can take in his trailer without going over the maximum weight his truck can tow.

Solution:

Let the maximum number of horses that Jack can take be = x

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If 1 horse weights = 1,200 lb

Then x horses will weight in lbs = 1,200\times x = 1,200x

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Since the maximum weight the truck can tow = 5,000 lb, so the inequality can be given as:

1200x+2700\leq5000

Subtracting both sides by 2700.

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Dividing both sides by 1200.

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x\leq1.91

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3 years ago
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