Answered: A population of insects increases at a…

A population of insects increases at a rate of 75 + 5t + 0.2t^2 insects per day. If there are initially 15 insects, determine the number of insects present after 3 days.

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter4: Polynomials

Section4.2: Adding And Subtracting Polynomials

Problem 11P

See similar textbooks

Related questions

Q: A rectangle's length is 5 metres longer than twice its width. If both the length and the width are…

Q: The altitude of a triangle is increasing at a rate of 33 centimeters/minute while the area of the…

Q: What would be the rate of increase of an island population of 1000 that has 30 births and 20 death?…

A: An island population of 1000 that has 30 births and 20 death. We need to calculate What would be the…

Q: The altitude of a triangle is increasing at a rate of 22 centimeters/minute while the area of the…

Q: Initially, there are 300 bacteria and after 8 hours, 900 bacteria are observed in the culture. Find…

A: We will find out the required solution.

Q: The altitude of a triangle is increasing at a rate of 1 centimeters/minute while the area of the…

Q: A bacteria population doubles every four minutes. If the population begins with two cells, how long…

Q: The altitude of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the…

A: Let height of triangle = h Base = b Then, we are given that:

Q: The length of the rectangle is increasing at a rate of 5 centimeters per second, and its width is…

A: Rate of change

Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

A: Here we use the formula of area of triangle. First we differentiate area with respect to time and…

Q: The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the area of the…

Q: Find two positive numbers such that the sum of the first plus 7 times the second is 2,800 and their…

A: here also given that product is maximum. let; The first number is =x and second number= y According…

Q: A right triangle has legs of 9 inches and 12 inches whose sides are changing. The short leg is…

A: Given: A right triangle has legs of 9 inches and 12 inches whose sides are changing. The short leg…

Q: The current circulation of some magazine is 3000 copies per week. The managing editor of this…

Q: The radius of the circle is increasing at a rate of 3 meters per minute and the sides of the square…

A: Since the circle is enclosed inside the square, the area between the circle and the square will be…

Q: In a liquid culture, the number of bacteria grows at a proportional rate depending on the number of…

Q: There are currently 250 cells in a culture and it grows ata rate proportional to its size. After one…

A: Given data: Total cells=250 After one hour=630

Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

Q: A bacteria decreases at a rate of 15% continuously when exposed to ultraviolent light. If a culture…

Q: The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the area of the…

Q: The length of a rectangle is increasing at a rate of 5 meters per hour and the width is decreasing…

A: The length of a rectangle is 11 meters and the width is 20 meters. The length is increasing at a…

Q: The original 24 m edge length of a cube decreases at the rate of 2 m divided by two minutes When x=1…

Q: An amplifire is having a gain of 500 without feedback.If negative feedback is applied.the gain is…

A: Given: Av = 500 Avf = 100

Q: A swarm of locust can multiply ten-fold every 20 days. How many times as great is the swarm after…

Q: The base of a triangle begins to increase at a rate of 2 inches per minute while the height remains…

A: Consider the following variables, b=base of the triangleh=height of the triangleA=area of the…

Q: The radius of a right circular cone is increasing at a rate of 5 inches per second and its height is…

Q: The altitude of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the…

Q: Each side of a square is increasing at the rate of 8 cm/sec. At what rate is the area of the square…

A: Solution :let, side of square=xArea of square=Adxdt= 8 cm/secA= 36 sq. cmA=x2 Area of square=side…

Q: A bacteria culture is known to grow at a rate proportional to the amount present. If the population…

A: This is a problem of the application of differential equations.

Q: A helicopter is rising vertically from the ground at a constant rate of 4.5 meters per second. When…

Q: radius of a right circular cylinder is increasing at the rate of 10 in/sec , while the height is…

A: Given query is to find the rate of change of volume.

Q: The Escherichia coli culture (better known as E. coli) doubles every 40 minutes. If 30 E. coli are…

Q: The side of an equilateral triangle decreases at the rate of 1 inch per second. When the area is 100…

Q: The altitude of a triangle is increasing at a rate of 2.5 centimeters/minute while the area of the…

A: here we have

Q: All edges of a cube are expanding at a rate of 8 centimeters per second. How fast is the surface…

A: Since, we have been given that all edges of a cube are expandingat a rate of 8 centimeters per…

Q: The altitude of a triangle is increasing at a rate of 2.5 centimeters/minute while the area of the…

A: area = altitude*base289 = 9.5*base2base = 18.73 cm

Q: A bacteria culture contains 1500 bacteria and doubles every half hour. What is the size of the…

A: Given that: Given that: A bacteria culture contains 1500 bacteria and doubles every half hour.…

Q: Sand flows out of an hourglass at a rate of 4 cubic inches per second and forms a conical pile. How…

A: Write the expression for volume of cone take the derivative with respect to time t than put the all…

Q: The altitude of a triangle is increasing at a rate of 1 centimeters/minute while the area of the…

Q: The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the area of the…

A: Formula of area of triangle 12bhWhere b is the base and h is the altitude Chain rule (uv)'= u'v+uv'

Q: triangle

Q: The radius of a right circular cone is increasing at a rate of 3 inches per second and its height is…

Q: A light sits on the ground 20 feet away from a very tall wall. A 5-foot-tall person walks toward the…

Q: A rectangular box with square base is 10 cm tall and 4 cm wide. If its height is increased by 0.5…

A: Calculate the area of base of box.

Q: The length of the rectangle is increasing at a rate of 5 centimeters per second, and its width is…

Q: The radius of a right circular cylinder is increasing at the rate of 3 inches per ninute and the…

A: Given:The rate of change in radius =3 in/mThe rate of change in height =4 in/mThe radius =9 The…

Q: A money market fund has a continuous flow of money at a rate of f(x)=1500x-170x2 for 10 years. Find…

Q: The volume of a cube is increasing at the rate of 2 cubic inches per minute. How fast is the surface…

Q: A rectangular beam will be cut from a cylindrical log of radius 10 inches. Suppose that the strength…

A: Solve the given problem

Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

A population of insects increases at a rate of 75 + 5t + 0.2t^2 insects per day. If there are initially 15 insects, determine the number of insects present after 3 days.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Linear Equations$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

The feed of a drill is the depth of material that the drill penetrates in one revolution. The total depth of penetration equals the product of the number of revolutions and the feed. Compute the feed of a drill that cuts to a depth of 3.300 inches while turning 500.0 revolutions.
Solve for x:3x2+4x=1.
If a ball is thrown upwards at 96 feet per second from the top of a building that is 100 feet high, the height of the ball is given by S= 100+96t-16t^2 feet Where t is the number of seconds after the ball is thrown. How long after the ball is thrown is the height 100 feet?
A factory produces bicycles at a rete of 110+0.5t^2-1.1t bicycles per week(t in weeks). How many bicycles were produced from day 8 to 21?
The height h, in feet, of a ball above the ground t seconds after being thrown upward with a velocity of 64 ft/s is given by h = -16t^2 + 64t + 7. After how many seconds will the ball be 55 ft above the ground?
If a ball is thrown upward at 96 feet per second from a height of 4 feet, the height of the ball can be modeled by S=4+96t-16t^2 feet, where t is the number of seconds after the ball is thrown. How long after the ball is thrown is the height 144 feet? It takes ? seconds for the ball to reach the height 144 feet.
A car wash firm calculates that its daily production (in number of cars washed) depends on the number n of workers it employs according to the formula P=20n-0.05n^2 cars.
A projectile is launched from ground level with initial velocity of v0 feet per second. Neglecting air resistance, its height in feet t seconds after launch is given by s=-16t^2*v0t. Find the time that the projectile will reach a height of 192 feet and return to the ground when v0=112 feet per second
Solve for c , A ,A^-1
A ball is projected from the ground into the air with an initial velocity of 80 ft/sec. How many seconds will it take for the ball to return to the ground if the height of the ball above the ground sec after it is hit is given by the following formula? h=80t-16t^2
A model rocket is launched with an initial velocity of 300 ft per second. The height h, in feet, of the rocket t seconds after the launch is given by h= -16t^2+300t. How many seconds after the launch will the rocket be 600 ft above the ground?
A real estate office is selling condominiums at the rate of 100e-x/2 per week after x weeks. How many condominiums will be sold during the first 4 weeks?