A scientist used a microscope to count the number of bacterial cells in a petri dish every hour. The graph shows the data collected. Which function most accurately represents this data, where n is the number of bacteria and is the time elasped, in hours

Q: Using U.S. Census Bureau projections from 2020 to 2060, the number of U.S. females under the age of…

A: Answer

Q: During a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate…

A: Explanation: Given that,  Rate of snowstorm first two hours = 1 inches/hours Rate of snowstorm next…

Q: An object attached to a spring oscillates around a position and is represented by the function…

A: Object is attached with a string and it's oscillating. It's height is represented by an equation…

Q: Express the side length of a square as a function of the length d of the square's diagonal then…

A:

Q: It is a fact that y(x) = 3x² – x + 1 is a function. Which y-value (output) does this function assign…

A:

Q: You have 600 feet of fencing to enclose a rectangular field. Express the area of the field, A, as a…

A: Let the length of the rectangular area=x and the width=ySo, perimeter=2(x+y)=600or, x+y=300or,…

Q: A bulk food storage bin with dimensions 3 feet by 4 feet by 5 feet needs to be increased in size to…

A: From the given problem Dimensions are 3feet×4feet×5feet.   So the volume of the bulk food storage…

Q: Between 2006 and 2016, the number of applications for patents, N. grew by about 4.5% per year. That…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: An employee at a garden center fills a water tank once a day around noon to a height of 20 inches.…

A: 1. An employee at a garden center fills a water tank once a day around noon to a height of 20…

Q: Try to draw a vertical line on the graph so it intersects the graph in more than one place. If you…

A: Given graph :

Q: he life expectancy at birth of both sexes in a particular year can be described by the function…

A:

Q: You have 400 feet of fencing to enclose a rectangular lot and divide it in two by another fence that…

A: You have 400 feet of fencing to enclose a rectangular lot and divide it in two by another fence that…

Q: Arman traveled a distance of 6x2-13x-5 kilometers at a rate of 3x+1 kph.Determine a function that…

A: Let's find.

Q: A farmer decides to build a fence to enclose a rectangular field in which he will plant a crop. He…

A: Let width = x feet. Given perimeter=1400 and length = 100 feet. From there we find x.Answer(a): 600…

Q: Differentiate the function. 2 15 F(x) = 5 F'(x) =

A:

Q: Sketch the graph of the function by first making a table of values. fx) = -x + 4, -4 sxs 4 f(x) = -x…

A: Given: F(x)= -x+4

Q: A bathtub that intially holds 65 gallons of water starts draining at rate of 8 gallons per minute.…

A: Construct a function for the number of gallons of water W (t) in the tub after t minutes of draining…

Q: Determine the function that would represent a rock that was thrown upwards at 16 feet per second…

A:

Q: You have 600 feet of fencing to enclose a rectangular field. Express the area of the field, A, as a…

A: Consider the dimensions of rectangle be x and y. and Perimeter of rectangle is 600 feet. we know…

Q: You have 800 feet of fencing to enclose a rectangular field. Express the area of the field, A, as a…

A:

Q: The price per barrel (in dollars) for NYMEX-traded crude oil futures can be approximated by the…

A: We have to find the future prices of crude oil for the third quarter of 2017.

Q: Differentiate the function. 5 6 G(x) = x° + 6x G'(x) =O

A: We have to differentiate the given function: Gx=x6+6x5 Rewriting the given function,…

Q: anita is on a competetive rowing team . after 2 minutes the team rows at a constant speed of 4…

A: By making differential equation between distance and time

Q: during typhoo Ambo, PAGASA tracks the amount of accumulating rainfall. For the first three hours of…

A: For first three hours, the rain fell at a rate of 25 mm per hour.  So for time 1≤t≤3 the rate was 25…

Q: The number of concurrent users of a social networking site has increased dramatically since 2002. By…

A: The given function is Pt=2.4491.487t. t is the number of years after 2002. that is, t=0. Now, t is…

Q: A rancher wants to fence in an area of 1,500,000 square feet in a rectangular field and then divide…

A: Let the length of the rectangular field be y and the width be x. Assume the farmer divides the field…

Q: An analysis of passenger traffic at Daytona Beach International Airport over the past 40 years shows…

A:

Q: Express the side length of a square as a function of the length d of the square's diagonal Then…

A:

Q: The cost to fence in a backyard is $1000 for an area less than or equal to 100 m2. An area greater…

A: Cost function = Average cost / Area

Q: A collage has a financial aid formula that applies to applicants whose family's income is below a…

A:

Q: what is increasing or decreasing function

A:

Q: The cumulative number of cases of AIDS(acquired immunodeficiency syndrome) in the United States…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Find the point on the graph of the function that is closest to the given point. (х) 3 (x - 1)2, (-5,…

A:

Q: A farmer wishes to build a divided pasture adjacent to the river, as shown in the diagram.…

A: Let y be the side of the fence that is parallel to the border of the river side and x be the length…

Q: My square orchid garden abuts my house so that the house itself forms the northern boundary. The…

A: The square orchid garden abuts the house so that the house itself forms the northern boundary. So,…

Q: a taxi ride costs 40pesos for the first 500 meters and each additional 300 meters (or a fraction…

A:

Q: During a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate…

A: Given that: Rate of fall of snow for the first 2 hours = 1 in/hrRate of fall of snow for the next 6…

Q: Express the side length of a square as a function of the length d of the square’s diagonal. Then…

A: Let x be the length of a side, d be the length of the diagonal and A be the area of the square.Now…

Q: If a rock falls from a height of 32 meters on Earth, the height H in meters after x seconds can be…

A: The Height H of  a rock in meters after x seconds is given  by  Hx=32−4.9x2

Q: Dana is filling a 1.5 gallon watering can at a rate of 0.75 gallon per minute. What is the domain of…

A: Solution of above question is written in below step.

Q: The revenue from the sale of a product is given by the function R = 5000x-0.1x³ dollars. Use…

A:

Q: Victoria kicked a soccer ball laying on the ground. It was in the air for 6 seconds before it hit…

A:

Q: Solve no 73

A:

Q: In the last year of the data, a car enthusiast spends $15,100 on a car of the given model that is in…

A: Given: Let us consider the given data, Enthusiast spends=$15100 Owner spends=$8300 Total…

Q: After declining between 1940 and 1980, the number of multigenerational households has been…

A:

Q: Suppose that the revenue from selling x radios is R(x) = 75x - dollars. Use the 10 function R' (x)…

A: Here, the given revenue function is: Rx=75x-x210

Q: In the year 2016, the total number of metric tons of copper produced in the world was 495,000. Each…

A: Solution

Q: The population of Boston, MA in 2019 was 692,600 people with an annual rate of increase 1.4%. In…

A: Given the function of population grows is P(x) = 692,600·1.014x where x is number of years. We have…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.