Elio makes candles that are 14\text{ cm}14 cm14, space, c, m tall. each candle burns 888 hours before going out. he is wondering how many hours a 21\text{ cm}21 cm21, space, c, m tall candle can burn for. he assumes that the relationship between the height of a candle and number of hours it burns (h)(h)left parenthesis, h, right parenthesis is proportional. how long a 21 \text{ cm}21 cm21, space, c, m tall candle can burn for?

24/56=hx^7

step-by-step explanation:

22.83 repeating

step-by-step explanation:

137 ÷ 6 is 22.8333333 therefore we understand that 3 is repeating.

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step-by-step explanation:

what is the figure? attach a picture.

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week