A cricket has lost one of its wings and wants to climb a tree. To do so, it jumps trying to reach one of the branches, but because every time it goes out it loses energy, the height of its jumps becomes smaller and smaller. The height of his first jump is 9 meters and in each subsequent jump he only manages to jump two thirds of the previous height Only in the seventh jump will the cricket reach a height of

Name: Solved: A cricket has lost one of its wings and wants to climb a tree. To do so, it jumps trying to reach one of the branches, but because every time it goes out it loses energy, the height of its jumps becomes smaller and smaller. The height of his first jump is 9 meters and in each subsequent jump he only manages to jump two thirds of the previous height Only in the seventh jump will the cricket reach a height of - MathMaster
Brand: MathMaster
Rating: 4.9 (171 reviews)

171

likes

856 views

Answer to a math question A cricket has lost one of its wings and wants to climb a tree. To do so, it jumps trying to reach one of the branches, but because every time it goes out it loses energy, the height of its jumps becomes smaller and smaller. The height of his first jump is 9 meters and in each subsequent jump he only manages to jump two thirds of the previous height Only in the seventh jump will the cricket reach a height of

$Expert avatar$

Timmothy

4.8

99 Answers

Para determinar la altura que alcanzará el grillo en el séptimo salto, podemos utilizar la información proporcionada sobre la altura del primer salto (9 metros) y el patrón de que cada salto posterior sea dos tercios del salto anterior. Calculemos la altura de cada salto: 1er salto: 9 metros 2do salto: (2/3) * 9 = 6 metros 3er salto: (2/3) * 6 = 4 metros 4to salto: (2/3) * 4 = 8/3 metros (o aproximadamente 2,67 metros) 5to salto: (2/3) * (8/3) = 16/9 metros (o aproximadamente 1,78 metros) 6to salto: (2/3) * (16/9) ≈ 1,19 metros Ahora, para el séptimo salto, calcularemos la altura: 7mo salto: (2/3) * 1,19 ≈ 0,79 metros Por tanto, en el séptimo salto, el grillo alcanzará una altura aproximada de 0,79 metros.

Frequently asked questions (FAQs)

What is the slope of a line that passes through the points (2, 5) and (4, 11)?

What is the reciprocal of f(x) = 1/x at x = 2?

Math question: Find the equation of the line with a slope of 2 and y-intercept of -3.

New questions in Mathematics

5(4x+3)=75

A car tire can rotate at a frequency of 3000 revolutions per minute. Given that a typical tire radius is 0.5 m, what is the centripetal acceleration of the tire?

What is the amount of interest of 75,000 at 3.45% per year, at the end of 12 years and 6 months?

Consider the relation R defined on the set of positive integers as (x,y) ∈ R if x divides y. Choose all the true statements. R is reflexive. R is symmetric. R is antisymmetric. R is transitive. R is a partial order. R is a total order. R is an equivalence relation.

3(4×-1)-2(×+3)=7(×-1)+2

A company is wondering whether to invest £18,000 in a project which would make extra profits of £10,009 in the first year, £8,000 in the second year and £6,000 in the third year. It’s cost of capital is 10% (in other words, it would require a return of at least 10% on its investment). You are required to evaluate the project.

A brass cube with an edge of 3 cm at 40 °C increased its volume to 27.12 cm3. What is the final temperature that achieves this increase?