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makvit [3.9K]
2 years ago
12

Divya is painting a room. She uses 34 gallon of paint to cover 15 of a wall. If the walls are all the same size, how much paint

will she need to cover one wall?
Mathematics
1 answer:
solmaris [256]2 years ago
4 0
She will need 15 gallons
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A recursive rule for a geometric sequence is a1=2; an= 4/9 an-1
Oxana [17]

A recursive rule for a geometric sequence:

a_1\\\\a_n=r\cdot a_{n-1}

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

a_1=2;\ a_n=\dfrac{4}{9}a_{n-1}\to r=\dfrac{4}{9}

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

The exciplit rule:

a_n=a_1r^{n-1}

Substitute:

a_n=2\left(\dfrac{4}{9}\right)^{n-1}=2\cdot\left(\dfrac{4}{9}\right)^n\cdot\left(\dfrac{4}{9}\right)^{-1}=2\cdot\left(\dfrac{4}{9}\right)^n\cdot\dfrac{9}{4}\\\\\boxed{a_n=\dfrac{9}{2}\cdot\left(\dfrac{4}{9}\right)^n}

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3 years ago
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natima [27]

Answer:

Cos Z= 4/5

Step-by-step explanation:

Hope it helps you!

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Aaliyah practices clarinet a total of 11.25 hours in d days. She practices the same amount of time each day. How many hours does
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Answer:

1/5^7 (the last one)

Step-by-step explanation:

When dividing exponents you subtract the the two exponents. In this case you subtract 3 from -4. -4-3=-7. So you have 5^-7. That is also equal to 1/5^7

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