7. In the absence of predators, the population of mosquitoes in a certain area increase at a rate that is proportional to its current population and the population doubles every 6 weeks. There are about 400,000 mosquitoes in this area now. a. Find a function M(t) which describes the number of mosquitoes at any time t weeks from now.

Q: .Suppose that for a certain disease the cumulative number of deaths is given by 7.8 C(t) = ,…

A:

Q: 8. According to an Insurance Company, the percentage of accidents caused by teenagers texting while…

A: A linear function in one variable that represents a line graphically. The gradient of the line is…

Q: 6. If P(t) is the carbon emissions rate for the US, with P(t) measured in GT/year. Select the…

A: To determine the appropriate function and units for each scenario, let us analyze each part: a. This…

Q: 1. The value of a baseball card, V (in $) changes over time, t (in yrs) according to this function V…

A: Topic:- function

Q: A company has found that total sales, in thousands of dollars, are given by the function defined by…

A: Given, Sx=100 log2x+2a Let x = 5 and find S6S6=100 log25+2        =100 log27        =280.74Thus, The…

Q: At this moment, a website has 10 000 users and this number is growing at a rate of 2000 users per…

A: Given: Initially, the total number of users are 10,000 which is growing at a rate of 2000 users per…

Q: The population, in thousands, in a given city is modeled by the function P(t) = 100.2(1.04) where t…

A: The population is 200000, i.e. 200 thousands. Therefore, the value of P=200. Substitute P=200 in the…

Q: 1. A population of 40 bacteria triples in size every three days by the function P(t) = 40(3), where…

A:

Q: 22. Water boils at 212°F (100°C). However, if we change the air pressure, water boils at different…

A: Given The function which approximates the temperature T(in Fahrenheit) at which water boils at…

Q: The half-life of krypton-91 (* K>) is 10 seconds. At time t= 0, a heavy canister contains 3 grams of…

A: Given the half-life of krypton-91 91Kr is 10 seconds. At time t = 0, a heavy canister contains 3…

Q: 0. There are 8 fruit flies around a rotting banana and the number of flies doubles every 1/2 day.…

A:

Q: A car rental company charges 60 dollars per day, 12 cents per kilometre driven, and a 40 lollar…

A: Given query is to find the cost function.

Q: 1. After Thanksgiving with her extended family, Surrena has a splitting headache. To take the edge…

A:

Q: 13. A ball is thrown straight upward. The height of the ball above ground in metres can be described…

A: Explanation and solutionis given below....

Q: The number of cases of a desease,N, is reduced by 9% each year. a. if there are initially 20,000…

A: topic - exponential function

Q: 5. The population of a rare breed of frog in a conservation area is decreasing. In this one…

A:

Q: Several different animal populations are described below. For each, express the size of the…

A: As per our guidelines we are supposed to answer only 3 sub-parts. Kindly repost rest of parts as the…

Q: 4. A virus causing an infection is spreading in a town that has a population of 30000. Assume that…

A: Given that a virus causing an infection is spreading in a town that has a population of 30,000. If…

Q: 6. The number of online buyers in Western Europe grew steadily over the past decade. The function…

A:

Q: Two people on scooters just finished their conversation. One of them starts riding directly north at…

A: Given  dydt=15 m/sdxdt=12 m/s We have to find dzdt Using Pythagorean theorem we have z2=x2+y2 Now…

Q: 2. A plant that floats on the surface of rural bodies of water is known as duckweed. The initial…

A:

Q: To identify how much heat is required to bring a kettle of water to its boiling point, you are…

A: Given the table is