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2 years ago

Explicit equation for the sequence

Mathematics

1 answer:

Jlenok [28]2 years ago

3 0

Step-by-step explanation:

when we get the common ratio that must be equal

r=6/2=18/6=54/18=3 equal

So it is geometric

By using this equation:

a(n)=a(1)*r^(n-1)

and we have a(1)=2 , r=3

Explicit rule: a(n)=2*(3)^(n-1)

hope this helps

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Chloe and Libby want to tie Ryan to a bunch of approximately spherical helium balloons of diameter 0.3m. The volume of each ball

dem82 [27]

Answer: Aproximately 2,525 balloons

Step-by-step explanation:

1. Find the volume of a balloon with the formula given in the problem, where $r$ is the radius ( $r=\frac{0.3m}{2}=0.15m$ ), then:

$V=4(0.15m)^{3}=0.0135m^{3}$

2. Convert the volume from m³ to lliters by multiplying it by 1,000:

$V=0.0135m^{3}*1000=13.5L$

3. You know that that 1 liter of helium can lift 1 gram and that Ryan weighs 5 stone and 5 pounds. So you must make the following conversions:

1 g=0.0022 lb

From 5 stones to pounds

$(5stone)(\frac{14pounds}{1stone})=70pounds=70lbs$

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5lb+70lb=75lb

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$\frac{75lb*1L}{0.0022lb}=34,090.90L$

6. Then, to calculate the aproximated number of balloons they need to make him float (which can call $n$ ), you must divide the liters of helium needed to lift the weight of Ryan by the volume of a balloon, then the result is:

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5 0

3 years ago

Use the diagram to copy and complete the statement. (#12, 14, 16)

Sergio [31]

11 is the biggest and the 22

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3 years ago

Two angles are supplementary. The measure of one angle is 54 more than the measure of the other angle. What is the measure of th

il63 [147K]

Answer:

bigger angle is 117°

Step-by-step explanation:

x+x+54= 180 (when two angles are complementary it means that their sum is 180 degrees)

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x=126/2

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2 years ago

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Zina [86]

Answer:

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Step-by-step explanation:

The seventh term of an AP is written as:

$a + 6d$

The eleventh term of an AP is written as:

$a + 10d$

If the 7th term is 11 times the 11th term, then;

$a + 6d = 11(a + 10d)$

Expand to get:

$a + 6d = 11a + 110d$

$11a - a = 6d - 110d$

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$- 52 + 5 \times 17 = 33$

For the second case,

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Step-by-step explanation:

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