4 right triangular pyramids make a cube now instead of a cube suppose there's a square prism
4 times volume of triangular pyramids should be equal to the volume of square prism
(4bh)/3 = a^2 * h
but since its a square at the base, let us suppose that 2ar(triangle at base) = area of square
(2*a^2h)/3=a^2 * h
which gives 2/3=1
which should mean that a cube is not made of 4 pyramids
but we know that is not true
how?
we gotta prove how and make it 1=1 instead of 2/3=1

555.99.

step-by-step explanation:

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(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

answer: hence, function will be

explanation:

since we have given that

cost of a new textbook = $85

according to question, the resale value of a textbook decreases by 25% with each previous owner,

so, our function becomes,

here, y is the total value of the text book after x owners.

hence, function will be