Questions in mathematics

Questions in mathematics

[Jawaban] The smallest bacterium is 0.2 micrometers across, while the giant amoeba Chaos chaos is 1000 micrometers across. How many times larger is the giant amoeba than the smallest bacterium?

[Jawaban] Which set of points lies on the given graph? A. (5, 13), (1, 1), (2, –1) B. (5, 13), (–1, 1), (2, 1) C. (–5, 13), (1, 1), (2, –1) D. (–5, 13), (1, 1), (2, 1) Please explain and give answer that would be much appreciated :)

[Jawaban] A collector has 120 movie posters and 100 band posters. She wants to sell 24 movie posters but still maintain the same ratio of 120:100 in her collection. If she sells 24 movie posters, how many band posters should she sell? Explain your answer.

[Jawaban] What does [tex]y = mx + b[/tex] mean, and how do you use it to solve problems? What is the difference between [tex]y = mx + b[/tex] and [tex]y = mx + c[/tex]?

[Jawaban] Write 75 as the product of its prime factors. (2 marks)

[Jawaban] Susan invests twice as much money at 7.5% as she does at 6%. If her total interest after a year is $840, how much does she have invested at each rate?

[Jawaban] If you know two points on a line, how can you find the rate of change of the variables being graphed?

[Jawaban] A rectangular prism has the following dimensions: - Length: \(\frac{2x^2 + 2x - 24}{4x^2 + x}\) - Width: \(\frac{x^2 + x - 6}{x + 4}\) - Height: \(\frac{8x^2 + 2x}{x^2 - 9}\) For all values of \(x\) for which it is defined, express the volume of the prism in simplest form in terms of \(x\). 1. \(4(x-2)\) 2. \(2(x-2)\) 3. \(2(x+2)\) 4. \(4(x+2)\) Please show your work.

[Jawaban] Trent and Chris are musicians, and they recently played a concert for 20,000 fans. The rectangular venue measured 87 yards by 57 yards. What was the approximate population density of the fans?

[Jawaban] Rachel has a collection of 40 stuffed animals. Of the stuffed animals, \(\frac{3}{8}\) are bears and \(\frac{1}{5}\) are dogs. The rest are other animals. How many other animals does she have?