The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growt rate parameter of 6.2% per hour. How many hours does it take for the size of the sample to double? Note: This is a continuous exponential growth model. Do not round any intermediate computations, and round your answer to the nearest hundredth. 0 X S

Q: Use the union rule to answer the question. If n(A)=6, n(B)=7, and n(ANB) = 4, what is n(AUB)?…

A:

Q: Researchers recorded that a certain bacteria population declined from 100,000 to 100 in 24 hours. At…

A: ⇒Pt=P0e-kt ⇒Pt=population at time t⇒P0=initial population⇒k=decay rate ⇒t=time in hours

Q: Given the functions that you graphed in the previous question, seen below in a lettered list. Put…

A: The list of functions has been given below: We need to put them in order from the slowest growing…

Q: The following table lists the ages and number of players per age group that are on a soccer team.…

A: The given table is: Age Number of Players 9 2 10 4 11 9 12 2

Q: You are drawing an angle in standard position and you swing the terminal side until an angle of 281°…

A: swing the terminal side until an angle of 281°    Initial position : 0° , 360°,720°

Q: Simplify, no calculators b) logs (125) + log3 (45) - log3 (5)

A:

Q: Find dy/dx

A:

Q: Use the properties of a Cauchy-Euler system to find a general solution of the given system. 41 -49…

A: We have given a system of equations. We have to find the general solution of the given equation.

Q: Figure 1 of 1 Locate the centroid of the area. Tako 6-6 im, A-17 in (Figure 1) Express your answer…

A: Given that:   b=6  in,   h=17 iny=hb2x2Therefore the given curve is:y=1736x2

Q: Use the Intermediate Value Theorem to show that the polynomial f(x)=x³+x²-2x+17 has a real zero…

A: The given function is: fx=x3+x2-2x+17 Use the Intermediate Value Theorem to show that the polynomial…

Q: 5. Evaluate the following antiderivative. Check your answer by taking the derivative of the function…

A: The solution is shown in step-2

Q: Select the equivalent expression. O x ¹2 y 4 1 Ox12y4 ○ x ² y 4 1 o x² y4 7.5 xx yy−5 Submit Answer

A:

Q: Simone invests $8,000 in an account that compounds interest quarterly and earns 9%. How many years…

A: Given: Simone invests $8,000 in an account that compounds interest quarterlyand earns 9%. We are…

Q: QUESTION 4 Use Green's Theorem to evaluate the line integral (3x² - 4xy) dx + (y²-x²) dy where C is…

A:

Q: Given the graph y = f(x). Define g(x) = f(x) + 5x 1. Find g(x)-6 lim z-40 2. If the area enclosed by…

A:

Q: Identify the key features of the exponential function f(x) = 12*

A:

Q: 3a² Given g(a) 2a² a - 15 Round all answers to 3 decimal places as needed. If the answer doesn't…

A: To find out the end behavior and horizontal asymptote of the given function.

Q: start Calculate the area. 11 feet 4 feet 6 feet 4 feet

A:

Q: nt A=P[₁ + 1)^² Use the compound interest formulas A = P1+ and A = Pe to solve the problem given.…

A: Initial investment = $ 15,000 Interest rate = 5% Time = 5 years

Q: Use Cramer's Rule to solve the system of linear equations for x and y. kx + (1 k)y = 5 (1 - k)x + ky…

A: By using Cramer's Rule to solve the following system of linear equations for  x and y.…

Q: Page esson 4.5: Proving Theorems About Angles in Parallel Lines Cut by a Transversal Practice 4.5:…

A:

Q: ogarithm as a ratio of common logarithms and natural logarithms. 96) ommon logarithms tural…

A:

Q: Perform the matrix operation. (If not possible, enter IMPOSSIBLE in any cell of the matrix.)

A:

Q: Solve the triangle if a = 39 miles, b = 68 miles and c = 44 miles. Round each answer to the nearest…

A:

Q: 1 Mr Chan saved $750 of his monthly salary and gave the rest to Adam and Ben in the ratio 5:2. Ben…

A:

Q: Show that the set SL (n, R) of invertible n*n matrices over R having determinant 1 forms a normal…

A:

Q: How many six-letter sequences are possible that use the letters c, o, c, c, o, z? [Hint: Use the…

A: Given letters are:   c, o, c, c, o z

Q: In the chart below, the value of r (radius), V (volume), or S (surface area) is given for a…

A: The value of r is:r=7 inch

Q: You have one type of candy that sells for $2.80/lb and another type of candy that sells for…

A: Let's assume that we need x lbs of cheaper candy that sells for $2.80/lb, and y lbs of expensive…

Q: A bank loaned out $12,500, part of it at the rate of 12% annual interest, and the rest at 13% annual…

A: Total amount to be loaned out is $ 12,500.

Q: Two numbers add up to 300. One number is twice the square of the other number. What are the numbers?

A:

Q: Here is the optimal tableau for a standard Max problem. The original rhs was Z 1 0 0 0 #2 5 .3 28 X3…

A:

Q: 1. The function f(x) = kx4 + 8x² has three turning points, an absolute (global) maximum value of 8…

A: The function fx=kx4+8x2 has three turning points, an absolute (global) maximum  value is 8 and a…

Q: Solve. x= x+3 6 x-3 7 = -8

A:

Q: Use transformations of the graph of f(x)= log x to graph the given function. Graph and give the…

A: To find the graph of log x -7.

Q: The function f(x) = 2x³ − 27x² +84x +9 has one local minimum and one local maximum. Use a graph of…

A: To find out the local minimum and local maximum of the given function.

Q: 2 E= 2 for t = -1.78, s₁=0.84, Evaluate E=t n₁ $₂ = 0.54, n₁ =25, and n₂ = 36. (Round to two decimal…

A: To evaluate E=t*s12n1+s22n2 for t*=-1.78, s1=0.84, s2=0.54, n1=25, and n2=36.

Q: Find a polynomial function of degree 3 with -5, 0, and 1/2 as zeros f(x) = x³ + ²/1x² - 1/2x X f(x)…

A: We have to find a polynomial function with degree 3 with -5,0,1/2 as zeroes.

Q: (a) 3 cos (3x + 2) = 2 over the interval (-π, π]. (b) 2 sin(2x - 3) = 4 over the interval (0, 2. π].…

A:

Q: Rochelle deposits $5,000 in an IRA. What will be the value (in dollars) of her investment in 15…

A:

Q: Solve the following inequality: x² + 3x + 2 x² - 16 >0

A:

Q: ) Find the solutions/zeros. m² + 4m - 60 = 0 Identify the process you used to m² + 4m - 60 = 0 fact…

A: m2+4m-60=0

Q: Determine the interval(s) of continuity for the function: esin (t) 6 - 12 cos(t) h(t) over the…

A:

Q: The half-life of Radium-226 is 1590 years. If a sample contains 400 mg, how many mg will remain…

A: We have to find the amount of remaining substance.

Q: A parabola can be drawn given a focus of (-9, 6) and a directrix of x = -1. What can be said about…

A:

Q: Solve the system by elimination. x + 4y -7 -3x + y -10 O No solution Infinite number of solutions

A:

Q: 33. Find [g of ]x when f(x) = 2x + 4 and g(x)=x²-3x + 2. a. 4x² + 10x + 6. b. 2x² - 6x +8 c4x² + 13x…

A:

Q: 7 years ago, Sallie invested $25,000.00 into a savings account. She now has $31,125.00. What simple…

A: Simple interest formula  S.I = P×R×t100 P = principal amount  R = rate of interest  t = time

Q: 2 2 0² 0² for z = 1.18, 0₁ = 0.92, Evaluate E=z n₁ n₂ ₂0.71, n₁ = 10, and n₂ = 57. E = (Round to two…

A: E=z* sqrt[(sigma1)2/n1 + (sigma2)2/n2)

Q: Can the soulution be found using rational function

A: