4. In biology the predator-prey model is used to predict the number of prey animals, R, at a particular time t, in years. This number is cyclic, fluctuating with the number of predators. The number of rabbits, R, in a certain region is given by the equation R(t) = 2000 sin(t) + 5000. a) Sketch the graph of this relationship b) Determine how many rabbits there will be in 4 years.

Q: The probability of precipitation in a California city varies from a peak of 0.38 (38%) in January to…

A:

Q: Suppose a certain variable star has a period of 10 days. The average brightness of the star is 3.1…

A: According to the given problem, find the equation of y:

Q: 7. The number of visible sun spots varies rhythmically from 10 to 110 per year over a period of…

A: Given: The sun spots varies from 10 to 110 per year over a period of 11 years. The 110 max last…

Q: The temperature, A, of a chemical reaction oscillates between a low of 30oC and high of 110oC. The…

A:

Q: 1. To obtain the graph of y=asinb(x-h)+k, explain what each of the values of a, b, h, and k affects…

A:

Q: 9. A windmill has a radius of 8m and rotates once every 20 metres off the ground (i.e. the vertical…

A:

Q: The doubling period of a certain bacteria is 6 hours. There is a 500 g sample of the bacteria. a)…

A: Given problem:- The doubling period of a certain bacteria is 6 hours. There is a 500 g sample of the…

Q: Graph, show two cycles of the curve  y= -2 sin (1/3 (×- pi/4) ) + 1

A: To graph the following function    y= -2 sin (1/3 (×- pi/4) ) + 1 This graph is opposite to sine…

Q: Find an equation to model the vertical motion of the tip of a second hand on a clock, if the second…

A:

Q: The graph of the cosine function has been vertically compressed by a factor of 3, reflected in the…

A: Using the given transformations, we can find the required equation.

Q: 2) A 50 foot diameter Ferris wheel is constantly turning at four revolutions per hour. The bottom of…

A: Amplitude, A:The diameter of the wheel,d = 50 ftThe radius of the wheel is,r = d2 = 25 ftAmplitude…

Q: A young entrepreneur borrowed $4,000 to start a small business. The interest rate on the loan was 8%…

A: To model the situation described, we can use the compound interest formula. The equation that should…

Q: 1. Consider the following functions: y = log2x and y = 2.3* 2.3 Sketch each on the same grid. For…

A:

Q: The population of arctic foxes in Yukon can be modelled by the following equation: P = 400 cos(30t -…

A: P=400cos30t-180+1100 t represents the number of  year since  1992