Answered: The number of bacteria in a culture is…

The number of bacteria in a culture is 1000 and this number increases 250% every two hours. Use a recurrence relation to determine the number of bacteria present after 1 day.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.4: Series And Their Notations

Problem 60SE: A scientist places 50 cells in a petri dish. Every hour, the population increases by 1.5%. What will...

See similar textbooks

Related questions

Q: need to derive the laplace transforms. Using L {[= (6) } = s e-v² F(t) at dt Above instructions.…

Q: Let fcilien be a collection of path components of a topological space X then c; =X. it

A: To prove that , we need to show two inclusions:1. : This follows directly from the definition of the…

Q: prove step by step that the kernel of a linear map A:V→W, denoted as Ker(A), is a linear subspace of…

A: Given linear map: We have to prove that the kernel of a linear map denoted by is a linear subspace…

Q: 5. Suppose that the rate of water flows into an initially empty tank is per minute at time t (in…

Q: Using your graph as the example: Select any two points on the graph and apply the slope formula,…

A: The 2-D graph is attached belowTo find out slope we apply slope formula

Q: Find the flux of F(x, y, z) = yi - xj + 2k across S, where S is the helicoid with vector equation…

Q: List all possible rational zeros of: f(x) = 18x ¹ + 12x ³ + 56x² +48x − 64 3 List all possible…

Q: In the previous part, you developed the Method of Disks for computing the volume of solids of…

Q: Consider the vectors u₁ = ------- 2 and the vector : 3 B = If IS in the span of ₁, ₂, 3, 4, write…

A: The given vectors, and the vector .The aim is to find the coefficient of the linear combination of…

Q: A2. Use Bordered Hessians to determine the sign properties (definiteness) of the following con-…

A: To determine the definiteness of the quadratic forms subject to the given constraints, we can use…

Q: A healthy child's systolic blood pressure p (in millimeters of mercury) and weight w (in pounds) are…

Q: can you please write the answers in the same way as the question is asking

Q: Evaluate the following integral So axebx² Where a = 0.3 and b = 0.56 Give your answer to 1 decimal…

Q: Three boats are out at sea: Boat A, Boat B, and Boat C. The crew of Boat A can see both Boat B and…

Q: Compute the flux of the vector field F = ⟨xy, 3yz, 6zx⟩ through the portion of the plane 3x + 2y + z…

Q: Find the exponential generating function for the sequence 0!, 1!, 2!, 3!,...

Q: Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), x(a)=x₂…

Q: In Exercises 1-14, find the characteristic polynomial and the eigenvalues for the given matrix.…

Q: 1) Given data 1.6 2 8 4.5 f(x) 2 2 a) Calculate f(2.9) using Newton's interpolating polynomials of…

A: Note: We are entitled to solve only one question at a time. As the specified one is not mentioned,…

Q: 3) Develop cubic splines for the data given below and 1 2 3 5 3 19 99 X f(x) 6 (a) Predict f (6) and…

Q: when values of theta are small approximations are sometimes used for trig functions sin theta, cos…

A: 1. Sine Function (sin(θ)):Approximation: Small angle approximation for small angles in…

Q: 1. Prove that (a) ▼ × (▼ƒ) = 0 for any C² function ƒ : U → R;

A: For any function we have to prove Note: According to the guidelines we are allowed to solve one…

Q: First, compute the gradient of the function p(x,y)=√√9-x² - y². Then evaluate it at the point…

A: ; We have to find .

Q: You have a chance of a lifetime to creatively design beautiful pieces of artwork, while illustrating…

A: The objective of this question is to understand the relationship between fractions, decimals, and…

Q: Following question is from a linear algebra course, We consider a second basis of V, C = {1 + X, X +…

Q: lowing values. ㅏ t) = 2t e 20et 35et x(0) = + 18- -t e [] eAt 3 4e2t-e-t 4e2t - 4e-t - e

Q: y = C₁ cos(3x) + C₂ sin(3x) is a two-parameter family of solutions of the second-order DE y" + 9y =…

A: The given equation is , The aim is to find the solution of the differential equation that satisfies…

Q: Problem 7. Consider the funcrtion f : R - {1} → R - {1} given by x+1 x-1 f(x) = Show that f is its…

Q: Set up the triple integral needed to compute the volume of the wedge bounded by the parabolic…

Q: Let f(x) = 3 + cos (5 a) where 0 < x < 2π. Next we do a Fourier series expansion of f(x). The…

Q: 2. Use the power series representation for f (x) = combined with Combining Power 1-x Series to…

Q: Q.2 Solve the following set of equations using the inverse of the coefficient matrix: 8x2+2xy=-7 2xy…

A: Here we have to solve the set of equations by finding the inverse of the coefficient matrix.

Q: 4. (i) Show that 2 is a primitive root mod 11² = 121. Hint: Use the criterion given by Lemma 6.4 and…

A: Basic facts on primitive roots will be used.

Q: Find a root of f(x)=In(x²+1)-4 sin(x-1) with 10-3 accuracy.

A: f(x)=ln⁡(x2+1)−4sin⁡(x−1)Derivative with respect to xf′(x)=2xx2+1−4cos⁡(x−1)Now…

Q: Use the Laplace transform to solve the given initial-value problem. y(t) = y" + y = f(t), y(0) = 0,…

Q: Given the 2nd order system: x/C1 + L1x'' - My'' = 0 y/C2 + L2y'' - Mx'' = 0 Convert it to a 4x4…

Q: Find the maximum value of f(x1, x2, x3) = 6x₁ + 7x₂ + 2x3 subject to the following constraints. S x₁…

A: subjected to constrain

Q: A = dz dt [333] -3 5 AZ =

Q: 3. Express dw dt as a function of t using chain rule where w = sin (x + y) + sin(x + 2) + sin (y…

Q: Problem #2: Consider the following matrix A and column vectors K₁. K₂, and K3. 6 A = 2 2 Problem…

Q: Consider the ordered bases B = space V of upper triangular 2 x 2 matrices. a. Find the transition…

Q: An annuity is paid at a rate of $250 per month. Assume that investments can earn interest at 4% per…

A: Given information:Annuity payment rate: per month.Interest rate: per year compounded…

Q: A. i. Using Arithmetic of Limits, find limn-3n / (5n + 3) ii. Working directly from the definition…

Q: Let f: R² R be defined by f((x, y)) = 4x - 8y + 4. Is f a linear transformation? a. f((x1, y₁) +…

Q: could you please do it in more steps and in detail, Im still a bit confused on how to approach this

A: We prove that is a linear subspace of W.First, let's define the image of A as .Since A is a linear…

Q: Required information Employ the events feature of the solve_sp function to determine the period of a…

A: Given that the simple linear pendulum with the initial condition θ=π8.Let us consider the length of…

Q: Follow the steps to solve the below differential equation using series methods. y'' — 5xy' – 3y = 0,…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: A Manufacturing Corp. with three-station work cell has the process displayed below. Each workstation…

A: Given information:Manufacturing Corp. has a three-station work cell.Each workstation has only one…

Q: Problem 3. Let u be a smooth solution of Lu aªÏ µij V = |Vu|²+ Au². Show that Lv ≥ 0 in № if λ is…

A: To show that in for sufficiently large let's compute :Now, since is a smooth solution of , the…

Q: Apply the eigenvalue method to find the general solution and the corresponding particular solution:…

Question

The number of bacteria in a culture is 1000 and this number increases 250% every two hours. Use a recurrence relation to determine the number of bacteria present after 1 day.

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1: Introduction

VIEW

Step 2: Calculation

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 12 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Researchers recorded that a certain bacteria population declined from 700,000 to 400,000 in 5 hours after the administration of medication. At this rate of decay, how many bacteria will there be 24 hours from the start of the experiment?
A substance has a half-life of 2.045 minutes. If the initial amount of the substance was 132.8 grams, how many half-lives will have passed before the substance decays to 8.3 grams? What is the total time of decay?
A scientist places 50 cells in a petri dish. Every hour, the population increases by 1.5%. What will the cell count be after 1 day?
On the day a grandchild is born, a grandparent deposits $2500 in a fund earning 7.5% interest, compounded continuously. Determine the balance in the account on the grandchild’s 25th birthday.
In 2014, Chile experienced an intense earthquake with a magnitude of 8.2 on the Richter scale. In 2014, Los Angeles also experienced an earthquake which measured 5.1 on the Richter scale. Compare the intensities of the two earthquakes.
Researchers recorded that a certain bacteria population grew from 100 to 300 in 8 hours. At this rate of growth, how many bacteria will there be in 24 hours?
In 1906, San Francisco experienced an intense earthquake with a magnitude of 7.8 on the Richter scale. In 1989, the Loma Prieta earthquake also affected the San Francisco area, and measured 6.9 on the Richter scale. Compare the intensities of the two earthquakes.
Use log21=0,log22=1, and log24=2 to estimate log23.
What is the total effect on the economy of a government tax rebate of $1,000 to each household in order to stimulate the economy if each household will spend 90% of the rebate in goods and services?