Answered: bacteria culture starts with 200…

bacteria culture starts with 200 bacteria and triples in size every half hour. After 2 hours, how many bacteria are there

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.7: Exponential And Logarithmic Models

Problem 23SE: A substance has a half-life of 2.045 minutes. If the initial amount of the substance was 132.8...

See similar textbooks

Related questions

Q: For items 22-23: The equation of a curve is y = 6tanx. 22. What is the slope of the tangent line…

Q: A curve is given by the equation y = ln (2³+¹). x5

Q: 12. dx Ve -1

Q: 1/A) Replace the polar equation by equivalent Cartesian equation r2cose + 2sino

Q: A company determines that its demand function is given by p(q) = -0.4q+ 1841 and that its cost…

A: To find out the marginal revenue at 2785 items.

Q: Live of y = e(x+ln x) cive of ƒ(x) = 5x6 – sec jye of y = e(sin x) e(sin x) - sin(e

A: We have to find the derivative of the given function

Q: 1. Find the area of the region bounded by y = x^2 + 2x -6 and y = 3x.

Q: (x - 8)dx x (x + 5)² X

Q: 9. If a rock is thrown upward on the planet Mars with a velocity of 10 m/s, its height (in meters)…

A: We need to find velocity.

Q: Find an explicit description of Nul A by listing vectors that span the null 1-4-20 A= 0 0-10 0 A…

A: In order to find the explicit description of NulA we have to find the solution of the system Ax=0…

Q: 149. Determine the real number a such that vectors a = 2i +3j and b = 9i+aj are orthogonal.

Q: 1. Let S be the solid of integration of the ff. integral Q. Sketch S and label its boundaries. 16-y²…

A: Q=∫-44∫016-y2∫0y+6y2z dxdzdyS is the solid of integration of the integral Q.Sketch S and label its…

Q: √x(y)²-(√x cos √x - sec √x)y'=1

Q: Solve the given function using chain rule of differentiation. Show your full solution.

A: On solving this we will get

Q: 3. fx² √9-x² dx

Q: 27. Given f(x)= F(D)=2 (X+) (x-1) A. I only B. II only x² -1 2 6 x #1 x = 1 I. II. III. e shituse…

Q: If f'(x) > 0 at x = c, f(x) at x = c is

Q: Jonathan invested $240,000 to purchase a home. After 14 years, he sold the home for $320,000.…

A: The given problem is solved below in detail.

Q: For the following exercises, use the second derivative test to identify any critical points and…

Q: [Select] derivative of y? y = = x²e²x+1 18. Which rule is applicable when solving for the A.…

Q: Create a symmetric equation of a line with the digits 6, 8 and 4. Does the point D (7, -1,8) lie on…

Q: Determine why dx converges or diverges.

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

Q: Find the absolute maximum and minimum values of the function f(x) = cos²x-3sinx on the interval…

A: Given function, f(x)=cos2(x)-3sin(x) We know that, Suppose that x=c is a critical point of fx then,…

Q: Determine the volume of the solid obtained by rotating the region bounded by y= x^2 and y=x about…

A: Note:- These are multiple questions and according to our company guideline we can do maximum one…

Q: •uy uz [T dx dz dy 1x represents the volume of the region in the first octant that is inside the…

A: Use triple integral concept

Q: satisfied

A: We will solve the problem.

Q: figure out absolute min & max values: g(x)=cos^2(x)-3sin(x) Interval:0<=x<=pi

Q: 6. ၂ 3z+1 -4) -dz

A: ∫3z+1(z2-4)2dzExpand:=∫3z(z2-4)2+1(z2-4)2dz=3∫z(z2-4)2dz+∫1(z2-4)2dzNow solving…

Q: Evaluate the following integrals/limit/s: 1. S√16-x²dx

Q: y = x4; and y = 1 about y = 2

Q: Find the radius of curvature of y=xª at (1,1).

A: Here we have to find the radius of the curvature of y=x4 at (1,1)

Q: 15. cos³ 3x 3√√/sin 3x dx

Q: Svi-x2 1-x2 dx

A: We will solve the problem

Q: Which of the following is or is not an improper integral? Clearly explain your choice. A. ₂ dx B.…

A: improper integral means whose limit at any point goes to infinite here check for it. ∫1dx/(x-2) =…

Q: Let S be the solid of integration of the given integral Q. (1.) Sketch S and label its boundaries.…

A: Given

Q: If an object with mass m is dropped from rest, one model for its speed v after t seconds, taking air…

A: On solving this we will get

Q: Solve the IVP. y" + 2y + 5y = 3 sin 2x y(0) = 1, y'(0) = 0

Q: The plane (x, y, z) = (4, 2, 1) + s(1, 1, -2) + t(2, -1, 3), converted into scalar form, has the…

Q: 2. [ xsec’x cot xdx tamol svode se gniau s 3. ftsin2t dt

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

Q: Q1/B) Find the length of the cardioid curve: r = 1 + cose

A: To Find : Length of the cardroid curve r=1+cosθ

Q: The fox population in a certain region has a continuous growth rate of 4 percent per year. It is…

Q: St dx tan 1²dt=2x tan x² X (A) True B) False

Q: Solve the given function using chain rule of differentiation. Show your full solution.

A: Given

Q: 1. Let S be the solid of integration of the ff. integral Q. Sketch S and label its boundaries. 9-r2…

Q: əz Əz Əx Əy Q5-A) If z =(x +by)² +e+by+sin( ax +by) show that b =a

Q: Find the logarithm. 1 log10 100, 000

A: We will use basic logarithm properties.

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t)= -…

A: topic- quadratic equations

Q: Covered topics are Applications of Definite Integral: Plane Areas and Areas Between Curves and…

A: We have to find volume generated by given condition.

Q: find the values of λ for which the determinant is zero. 2 λ + 1 0 0 1 O(-1, 1, 1) O(-1, 1, 0) O(-1,…

Q: 4. y = 4x², x = 0, y = 16; about y = 16

A: Volume = ∫ πy2dx here y = 16 -4x2 and limit from x 0 to 2

Question

a bacteria culture starts with 200 bacteria and triples in size every half hour. After 2 hours, how many bacteria are there?

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

Given data

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A ladder has 15 tapered rungs, the lengths of which increase by a common difference. The first rung is 5 inches long, and the last rung is 20 inches long. What is the sum of the lengths of the rungs?
A crime-scene investigator has 3.4 ounces of a sample. He needs to conduct four tests that each require 0.6 ounces of the sample, and one test that requires 0.8 ounces of the sample. How much of the sample remains after he uses it for the five tests?
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?
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?
Pieces each 3.25 inches long are to be cut from lengths of bar stock. Allowing010 inch for cutoff per piece, how many complete pieces can be cut from twelve 8-footlengths of stock?