MATHEMATICS HIGH SCHOOL

Which sequence is modeled by the graph below?coordinate plane showing the points 2, 1; 3, 3; and 4, 9

an = one third(27)n − 1

an = 27(one third)n − 1

an = one third(3)n − 1

an = 3(one half)n − 1

Answers

Answer 1
Answer:

Answer:

a_n=(1)/(3)\cdot (3)^(n-1)

C is correct.

Step-by-step explanation:

We need to choose correct model by the graph which passes through the points (2,1) (3,3) and (4,9)

Option 1: a_n=(1)/(3)\cdot (27)^(n-1)

Put n=2 and to get a₂=1

a_2=(1)/(3)\cdot (27)^(2-1)

a_2=9

9\neq 1

False

Option 2: a_n=27\cdot ((1)/(3))^(n-1)

Put n=2 and to get a₂=1

a_2=27\cdot ((1)/(3))^(2-1)

a_2=9

9\neq 1

False

Option 3: a_n=(1)/(3)\cdot (3)^(n-1)

Put n=2 and to get a₂=1

a_2=(1)/(3)\cdot (3)^(2-1)

a_2=1

1= 1

TRUE

Similarly, we will check (3,3) and (4,9)

and we will get true

Hence, The sequence is a_n=(1)/(3)\cdot (3)^(n-1)
Answer 2
Answer:

Answer:

the answer is C. an = one third (3)n − 1

i just took the test.

Step-by-step explanation:

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Skye's two new aquariums each hold exactly 200 gallons of water. One aquarium will hold small fish and the other will hold large fish. Now hew needs new fish for his aquariums. She will buy 5 small fish for every 10 gallons of water in the aquarium. She will buy 8 large fish for every 40 gallons of water in the aquarium. What is the total number of fish Skye will have?

Answers

Answer=140 fish

200 gallons of water in the first aquarium.

200 gallons of water in the second aquarium.

The first will be for the small fishes.

   5 small fish            x fish
_____________=__________
     10 gallons        200 gallons

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divide both sides by 10
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cross multiply
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divide both sides by 40
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The second aquarium has 40 large fish.

100small fish+40 large fish=140 total fish
In terms of the first aquarium, the number of small fish Skye will have is:
200 gallons of water* (5 small fish/ 10 gallons of water)= 100 small fish.

In terms of the second aquarium, the number of large fish Skye will have is:
200 gallons of water* (8 large fish/ 40 gallons of water)= 40 large fish.

The total number of fish Skye will have is:
100 fish+ 40 fish= 140 fish.

Final answer: 140 fish.

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C. 54°F
D. 86°F

Answers

If a thermometer indicates 30 degrees Celsius, the temperature in degrees Fahrenheit is 86°F.

Boiling water measures 100 degrees in Celsius, and 212 degrees in Fahrenheit. Freezing water measure 0 degrees in Celsius, and 32 degrees in Fahrenheit. 

So, if you want to convert Celsius into Fahrenheit, you will need to:
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Let's convert 30 degrees Celsius into Fahrenheit.
30 * 180/100 = 54
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Answers

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Step-by-step explanation:

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Answers

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Slope of l:
Slope of m:

Answers

Answer:

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Slope of m:  

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Step-by-step explanation:

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Line m:

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Line m:

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Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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