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nlexa [21]
2 years ago
12

Describe the relationship between the terms in each arithmetic sequence. Then write the next three terms in each sequence.

Mathematics
1 answer:
11111nata11111 [884]2 years ago
8 0

Answer:

For the first one: they increase in  by 14, so the three could be 73,87,101

Second: Sequential, increasing by 20, next could be 110, 130, 150

Third: Increase by 27, next three could be 122,149,176

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Wasted Water A faucet leaks 1 oz of water per minute. a) How many gallons of water are wasted in a year? (A gallon contains 128
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Answer:

a) 4106.25 gallons

b) $46          

Step-by-step explanation:

We are given the following in the question:

Leakage rate of faucet = 1 oz per minute

Cost of water = $11.20 per 1000 gallons

1 gallon = 128 oz

a) water are wasted in a year

1 hour = 60 minutes

1 day = 24 hours

1 year = 365 days

1\text{ year} = 365\times 24\times 60\text{ minutes}\\1\text{ year} = 525600\text{ minutes}

Amount of water wasted =

\text{Leakage rate}\times \text{Time}\\=1 \times 525600\\=525600\text{ oz}\\\\=\dfrac{525600}{128}\\\\=4106.25\text{ gallons}

Thus, 4106.25 gallons of water is wasted every year.

b) additional money spent

=\time{Cost}\times \text{Amount of water wasted}\\\\= \dfrac{11.20}{1000}\times 4106.25\\\\=45.99\$ \approx 46\$

Thus, approximately $46 is the additional money spent on water bill.

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Answer:

Step-by-step explanation:

A ' = (-2, -3)

B ' = (0, -3)

C ' = (-1, 1)

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

Explanation:

To apply an x axis reflection, we simply change the sign of the y coordinate from positive to negative, or vice versa. The x coordinate stays as is.

Algebraically, the reflection rule used can be written as

Applying this rule to the three given points will mean....

Point A = (-2, 3) becomes A ' = (-2, -3)

Point B = (0, 3) becomes B ' = (0, -3)

Point C = (-1, -1) becomes C ' = (-1, 1)

The diagram is provided below.

Side note: Any points on the x axis will stay where they are. That isn't the case here, but its for any future problem where it may come up. This only applies to x axis reflections.

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