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Mathematics Questions and Answers February 13, 2023

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(b) Calculate Cool's cash conversion cycle as at the end of each of 2016 and 2017
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Solve the following systems of equations: 3x+3y+z=-15 x-3y+2z=2 8x-2y+3z=-11

1. The length of a triangle is 9 inches more than the width. The perimeter is 46 inches. Find the length and the width. 2. The two smaller angles of a right triangle have equal measures. Find the measures of all three angles. 3. Muhammad has $2.75 in his pocket in nickels and dimes. The number of dimes is 10 less than twice the number of nickels.

h(t) = 6.108 ln(t) + 6.199, where t = age of tree in years and h (t) = height of tree, in feet. (Note that "ln" refers to the natural log function) Using the model, (a) At age 5 years, how tall is this type of ornamental cherry tree, to the nearest tenth of a foot? Solution: (b) At age 15 years, how tall is this type of ornamental cherry tree, to

Given the system of two differential equations in two unknowns: dx = 2x-0.002x(x + y), x(0) =300. dt dy =2y-0.004 y(x+ y), y(0)=100. dt (a) Find the x-nullclines and y-nullclines of the system. (c) Generate a Phase-Portrait Diagram of the system using x 20 andy 20, and add and label the nullclines
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1. What can be said about the domain of the functionf * gwheref(y)= 4/y-2andg(x)= 5/3x-1? Express it in terms of a union of intervals of real numbers. Go to www.desmos.com/calculator and obtain the graph off ,g , andf *g. 2. Find the inverse of the functionf(x)=4+ \sqrt{x-2}. 3. State the domains and ranges of both the function and the inverse

13. Keiko is going to watch a movie in her collection. She has 3 action movies, 4 comedies, and 5 dramas. She will randomly select one movie. What is the probability that the movie she selects is a comedy

List all axioms under which the set of all 3x3 matrices of the form \f
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Your bank pays 5% annual interest, compounded quarterly. Rounded to the nearest one hundredth of a percent, the annual effective interest rate is 5.09% 5.00% 5.06% 5.12% None of the above

\f
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c.) What is the general idea/purpose for performing an Analysis of Variance (ANOVA)
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State how many peaks you would expect for the distribution described. 1) Number showing when a single die is rolled 100 times 1) Two 2) None 3) Three 4) One 2) Find the standard deviation for the given data. Round your answer to one more decimal place than the original data. 3, 2, 12, 9, 10, 11, 11, 10, 10 1) 3.9 2) 1.1 3) 3.6 4) 3.4

6:35 7 X 1/2 Math 2 Piecewise Functions Worksheet #2 Name: Part I. Graph each of the following piecewise functions. Identify any points of discontinuity. 1. f x) = x+5 if x
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Answer correct to 2 decimals. Correct Answer: 17370.85 Your Mark: 0/2 Attempt $2 Attempt 23 Attempt 24 nower: 17830.1 16697.48 16697.95 16697.43 20200.51 Mark: 0/2X 0/2X 0/2x
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(1 point) Find all the values of the following : (1) (1 - V37) 3 Place all answers in the following blank, separated by commas: (1+sqrt(-3))^(1/3), (1-sqrt(-3))^(1/3) (2) (i - 1) Place all answers in the following blank, separated by commas: 8i (3) + Place all answers in the following blank, separated by commas
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can someone please help me with this and show all working so I can follow please, Thankyou Let f be an integrable function. Express the integral -2y erty f(x, y, z) dz dx dy 0 as a sum of iterated integrals in the order de dy dz
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7 6 pts Find the derivative of y = 3^cot x

The main focus of an arson investigation is to locate the point of origin. Question 14 options: A) True B) False

8. The bar graph below shows that as costs changed over the decades, Americans devoted less of their budget to groceries and more to health care. Percenuge of Total Spending in the United Siltel on Food Illl Health Cute 21% 18% G a? 12% so 32 Percentage of Total Spending a. a? u: a2 Source: Me, October 10,2011 Find a linear function in
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1. List the ordered pairs in the equivalence relation on the set {1,2,3,4,5} produced by the partition {1,3,4,5}, {2}.Join your ordered pairs with commas and separate them with spaces (e.g. x,x x,y y,y) 2. A={1,3,4,5,8,9}B={2,4,7,9} What is AB?Enter the numbers separated by comas. Do not enter the parentheses. 3. Let A = {1,2,3,4} and R =

Restaurant Profits Scenario MTH/215 Version 2 Restaurant Profits Scenario You have been placed on a marketing and design team tasked with creating a menu for a swanky new restaurant. Your goal is to design a restaurant menu that will maximize profit. There are three main roles in this project. Select a role and complete the task listed under the

The free rider problem suggests that a producer will tend to: 1 . produce more than the optimal quantity of a public good. 1i. produce less than the optimal quantity of a public good. 1li. produce the optimal quantity of a public good if it is funded out of tax revenue. O a. (i) only O b. (ii) only O c. (i) and (iii) only O d. (ii) and (iii) only
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Find the derivative of x^2 + y^2= 25 with respect to x

3. (a) Consider the vector field F(x, y.z) = (e' siny - yz) i + (e' cosy - x2) )+ (2 - xy)k. (i) Show that the vector field F is conservative. (in) Determine the potential function f (x, y,z) for the vector field F. (iii) Hence, or otherwise, evaluate the work done by the vector field F along the line segment from the point (1, 0, 1) to the point
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Problems one through seven \f\f-2, 0
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Discussion Topic Many types of bias exist when it comes to surveys, including nonresponse bias, undercoverage, and poorly worded survey questions. Think about a survey you've been asked to participate in. Maybe it was printed on a fast-food receipt or a store directed you to an online survey after you made a purchase. What influenced you to

Could you please help with questions 283? Thanks Exercise 283 Exercise 284 Exercise 285 Exercise 286 71 5.6 Dierential equations Let u(t) be a vector-valued function of the real variable t. Our objective is to nd u(t) that satises the differential equation d Eu) = Au[t) + b[t), t > 0, (5.4) where A is a constant matrix and b(t) is a known
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Dave consumes lemons and bottles of water, which are denoted by l and w, respectively. He likes to squeeze the lemon juice into his water to spice things up a little! His utility from consuming these two goods is given by the function U=(lw) The price of a lemon is pl=1 and the price of a bottle of water is pw=4. Dave's income is m=40. For the

Use laplace transform (1 point) Use the Laplace transform to solve the following initial value problem: y' + 4y' = 0 y(0) = 1, y' (0) = 5 a. Using Y for the Laplace transform of y(t), i.e., Y = [ly(t) }, find the equation you get by taking the Laplace transform of the differential equation = 0 b. Now solve for Y(s) = c. Write the above answer in
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Math 123 Quantitative Reasoning Project Fall 2016 Excel Grade Book Project Due Date: Understanding how weighted averages work will be a very important topic for you in this course, since your grades are determined in this way. In this project, you will create an Excel spreadsheet that can calculate a student's final grade in a course. You will

Define what a percent is? Write height in inches. Suppose it increases by 15%, what would your new height be?Now suppose your increased height decreases by 15% after the 15% increase; what is your new height? A Microsoft Excel spreadsheet is required . My height is 5'7. Using a spreadsheet can you tell me what formula you used.

26. A house sells for $193,000 and a 40% down payment is made.A 15-year mortgage at 7% was obtained. (i) Find the down payment. (ii) Find the amount of mortgage. (iii) Find the monthly payment. (iv) Find the total interest paid.

question 2 and 3 on mathematica showing some kind of error 2. Consider the linear differential equation: y" + 4y' + 13y = e2 sin(3x) + 24 + xet cos(x). (a) Find the general solution of this equation by using DSolve command. (b) Use DSolve command to find the particular solutions of this equation that satisfies the initial conditions y(0) = .01,
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How to solve exponential model ? a. Construct an exponential model for Lafayette's population. Hint: time is measured in decades. b. Use your model to predict Lafayette's population in 2020 (which is 20 years or 2 decades since the start of the model) if the percent increase stays the same. 5. Frogs - A species of frog's population grows 24% every
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4. The formula for the height of a ball thrown up into the air from a starting height of oft with a speed of 80 ft/sec is h (t) = -16t2 + 80t + 6 How many seconds after it is thrown will it take for the ball to hit a height of 100 feet (on the way up) above the ground? 5. The formula for the height of a ball thrown up into the air from a starting
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Please solve asap Compute AB, if possible. -1-3-9 A = [-7 -2 5] and B = 1 2-4 1-2-2 Select one: O a . [10 7 61 b. [10 7 61] O C. 7 6-45] -7-4-20 -7 4-10 O d. not possible
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Given the function y - 4 = - -(x - 5) determine the point, then graph both the point and the line. Point (as an ordered pair): 9 8 10 -9 -8 -7 6 -5 - - 3 - 2 - 6 7 9 10 Clear All Draw
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Suppose that y varies directly with x, and 1 = 20 when r = 16. (a) Write a direct variation equation that relates x and y Equation: (b) Find y when x 5
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just 6.3 please. Problem 6.3 Find the GS of y\" + cozy = tan(x) Hint: Read Example 3 of P.205. You may obtain a general formula. But this formula needs carefully treatment for the special cases w = 0, +1, -1. Example 3 Find the GS to the following DE y" ty = tan x Solution Method 1: VOP (detailed steps). Here we have f (x) = tan x. The C-Eq to the
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Suppose that, at the beginning of the coronavirus pandemic, someone with the coronavirus comes back to a town, which has a population of about 250,000. We can define the function ?(?) to be the number of infected people as a function of the month ? relative to 1 January 2020. For example, ? = 5 would correspond to 1 May 2020. The logistic model of
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MATH - Differential Equation Solve with solution the question below: 1). \f\fThe solution of x y' =1-2xy with initial value y(1)=2 is given by O 1+ x y(x) = X O y(x) = 1 + x2 X O 1 + x y(x) = x2 O 1 + x2 y(x) = x2\f\fSolve the given differential equation by using an appropriate substitution. dy xy 2 dx y3- x3 ; y(1) =2 O V3 + 3x 3In x =8x3| O V3 +
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Coding Theory Question in Math, where Z_11 = {0,1,2,3,4,5...,10} PROBLEM 1. Consider matrices with entries in Zu: 7 49 10 2 A = B = D = 1 0 8 7 5 Compute the following products if they are defined (i) A' . B . D. (ii) A . B . D. (iii )D' . B . A
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A net is a plane figure that can be folded to make a Solid Diagram Net Description Cube Rectangular Prism bases Triangular Prism Square Pyramid Triangular Pyramid
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(c) Assuming that future one-day returns for WMT and XOM have the same variances and covariance observed in this sample, find the standard deviation of one-day returns for a portfolio with weight 0.75 on XOM and 0.25 on WMT. Portfolio standard deviation
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find a polynomial of degree 3 with real coefficients and the following zeros. 4, 2-1

Question problem 3.17 yd Find the area of this rectangle. Area = yd2 Submit Question Type here to search O
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Let A be an mn matrix. (a)Let bRm. Assume that the linear system Ax=b is consistent, and let S be its set of solutions. (i)Show that there exists a unique solution x 0 S that belongs to(kerA) . (ii)Show that the x o you found in(i) is the unique minimal solution to Ax=b; that is, show that for every yS with y not = x o , we have x o

points] Consider a society where the Income gap Tatio 15 Zero Hid the DeadCount III(ex ials 40%. Is this possible? Carefully explain. Start your explanations with yes or no
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A M /2 =. 9 . ) Given m 4 1 = 46, find all the others. M 43 = Then Name The 2 pair type? 8 / 7 m 24= L2 and 24 5/6 23 and L6 4 /3 14 and 26 2 MLS = . LI and LS MLb = M27= M 48 =
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apparently r^3cos^2thetasin^2theta-r^2cos^2(theta)*sintheta is approx = to r^3/8 as r < <1

Need help with finding the volume of these. The starting point is the highlighted box. Volume nfso Figures Maze Instructions: 1. Description of pages: 0 Page 2: Volume of Pyramids, Cones. Prisms and Cylinders Maze I Start in the box labeled start and highlighted. Move in the direction of the correct volume to the next 3D gure. Maze Volume of:
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Hi can you please explain to me how do I recognize finite, countable, and uncountable carnality? I don't really understand this, Thank you. 3. For each set, determine if it is finite, countable, or uncountable and find the cardinality a). A = set of letters of the word INTELLIGENT Circle one: finite, countable, or uncountable Cardinality: b). B =
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Create a scenario from your own experiences that can be used to model a counting question that uses the phrase 'at most' and has mutually exclusive and exhaustive categories. Provide a solution to this question by identifying the following: 1. Experiment (the activity that causes the result) 2. Determine if repetition is permitted (explain) 3.

Question 1. for the answer part please just simply say it What is the value for x? A 73 Enter your answer in the box. (6x + 4) B (8y - 7) X = C
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13 6 pts The rate at which photosynthesis take place for a species of phytoplanktons is modeled by the function 100I I2 + 1+4 where I is light intensity (measures in thousands of foot-candles). For what light intensity is P a maximum? O 11.6 O -12 0 5

A radioactive material has a half-life of 67.8 days. If a sample contains 25 grams of this material, how much will remain after 10 days?Only enter the number, ingrams, rounded totwodecimal places. What is this material's continuous daily decay rate? Only enter the number, as apercent, rounded tothreedecimal places. A colony of 470 bacteria grows

Consider the following sets. (i) All polynomials a0 + a1x + a2x2 in P2 such that a0 = 0. (ii) All vectors (a,b) in R2 such that ab = 0. (iii) All matrices A in M22 such that A2 = I. Determine whether each of the above sets is closed under scalar multiplication or NOT closed under scalar multiplication

The Cookie Monster Store at South Acres Mall makes three types of cookies-chocolate chip, pecan chip, and pecan sandies. Three primary ingredients are chocolate chips, pecans, and sugar. The store has 120 pounds of chocolate chips, 40 pounds of pecans, and 300 pounds of sugar. The following linear programming model has been developed for
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For each of the following sets of vectors S in the next two problems, ? Find a minimal spanning set T for the subspace W = Span(S) from the set of vectors in S (T ? S). ? For each vector vi ? S omitted from T, write it explicitly as a linear combination of the vectors in T. \f
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Include the solution Mixing problem Suppose a brine containing 0.3 kg of salt per liter runs into a tank initially filled with 400 L of water containing 2kg of salt. If the brine enters at 10L/min, the mixture is kept uniform by stirring, and the mixture flows out at the same rate. Find the mass of salt in the tank after 10 min. 10 L/min A(t) 0.3
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For the following exercise, solve the system of nonlinear equations using any method. 2x 2 -y 2 =-16 and x+y=4

i.By using truth table, determine whether the following is a tautology, a contradiction, or a satisfiable expression. Include a short explanation saying how the truth table supports your answer. ~(~

Let \f
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Please show all the steps. Really confused. In each of Problems 1 through 8 find the general solution of the given system of equations. 2 - 1. X'= X+ 3 -2Consider the nonhomogenous system of equations given from Section 7.9 problem 1, x' = Ax + 9. Find the particular solution using Laplace transforms. N 3/4 A = 3 9= , 2(0)= -3/4 (a) Find X(s). (b)
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Lawrence Butler is a manager for Sound Pharmaceuticals. His family medical coverage is through the group medical plan that Sound provides for its employees. The annual cost of Lawrence's family coverage is 12,312. The company pays 60% of the cost. How much does he pay weekly for medical insurance?

A basis for the eigenspace corresponding to =10 is u 17 of 35 (1 complete) V Question Help a Find a basis for the eigenspace corresponding to the eigenvalue. A: 4 '3 ,r.=1o 2 9 A basis for the eigenspace corresponding to h = 10 is {ID} . (Type a vector or list of vectors. Type an integer or simplied fraction for each matrix element. Use a comma to
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IUPUI - Assignment Worksheet http://syrup.math.iupui.edu:8080/mapleta/modules/unproctoredT... Online Homework System 2/21/16 - 9:50:36 PM EST Name: ____________________________ Class: Rainey -- Spring 2016 -- 22333 MW 9:00AM Class #: ____________________________ Section #: ____________________________ Instructor: Joan Rainey Assignment: hw5

Hello, what is the formula for the weight of a cylinder?

Question 3 [10 marks] Consider V2 u = f(x, y), (x, y) En = (-00, 00) x (0,00), Vu . non = h(x, y), limr,y-+ oh(x, y) = 0. Assume f, h E C(R2). Find the Green's function using the method of images. Then use the Green's function to formulate your solution u(x, y) for the PDE. (Hint: your Green's function satisfies homogeneous boundary condition)
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Assume that StartSet Bold u 1 comma ... comma Bold u 4 EndSet u 1,..., u 4 is an orthogonal basis for set of real numbers R Superscript 4 ?4 29 of 35 (0 complete ! Question Help Write v as the sum of two vectors, one in Span {u1} and one in Span {u2,u3,u4}. Assume that {u1,...,u4} is an orthogonal basis for R4. -3 -4 3 3 5 3 3 3 4 7 u1- _4 \"2- 3
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(a) Suppose (11,02, . . . an is a sequence of n integers none of which is divisible by n. Show that at least one of the differences at (1;; (fort, i 3') must be divisible by \"-l (b) Show that every nite sequence (11, a2, . . . , an of n integers has a consecutive subsequence (1H1, a194,. . . , Qj whose sum is divisible by n. For example, the
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Name three ways you have used mathematics over the past week. Explain the general circumstance and the math that was used (add, subtract, multiply, divide, powers, roots, algebra, geometry, trigonometry, statistics, percents, measurement).

Many card games assign a numerical value to each card. For example, in blackjack, each face card is worth 10 points, each number card is worth between 2 and 10 points, and each ace is worth 1 or 11 points, depending on the final score. Make a virtual playing card by combining "ace," "heart," and 1 into a vector. What type of atomic vector will

A small business owner budgets $2,200 to purchase candles. The owner must purchase a minimum of 200 candles to maintain the discounted pricing. If t owner pays $4.90 per candle to purchase small candles and $11.60 per candle to purchase large candles, what is the maximum number of large candles the owner can purchase to stay within the budget and
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in considering the procedures of pure tone audiometry, after the examiner makes several test stimuli, what is the basic task completed using the audiometer

A toy cannon uses a spring to project a5.38-g soft rubber ball. The spring is originally compressed by5.08cm and has a force constant of8.05N/m. When the cannon is fired, the ball moves14.9cm through the horizontal barrel of the cannon, and the barrel exerts a constant friction force of0.032 2Non the ball. (a) With what speed does the projectile

Lawrence Butler is a manager for Sound Pharmaceuticals. His family medical coverage is through the the group medical plan that Sound provides for its employees. The annual cost of Lawrence's family coverage is $12,312. The company pays 60% of the cost. How much does he pay weekly for medical insurance?

Supposefis an increasing function satisfying the recurrence relation f(n) =f(n/5)+3n 2 whenn= 5 k , andf(1) = 4. (a) [1 point] Findf(5),f(5 3 ),f(5 5 ). (b) [2 points] Find an explicit formula forf(n) whenn= 5 k . (c) [1 point] Give a big-Oestimate for the functionf.

1) A mother invests $7000 in a bank account at the time of her daughter's birth. The interest is compounded quarterly at a rate of 8%. What will be the value of the daughter's account on her twentieth birthday, assuming no other deposits or withdrawals are made during this period? A) $34,128.07 B) $44,800.00 C) $2730.25 D) $10,920.99 2) Which is

Let u and v be orthogonal vectors in R3 and let w = 2u + 3v. Suppose that ||u|| = 5 and ||v|| = 6. Find the cosine of the angle between w and v

Please send me answer of this question within 10 min i will give you like sure.send me typed answer only please \f
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La empresa BIG STONE es una empresa que se dedica a la transformacin de derivados del tratamiento de "piedra natural". La planta de produccin lleva anexo un almacn de producto terminado y una campa de 5.000 m2 donde se almacena la materia prima, bloques de piedra de un tamao medio de 3x 2x2. Los bloques se mueven desde la campa hacia la fbrica por

9. Use the graph of y = f(x) to graph the function 9 (x) = (x+1+2 . Use the coordinate template below to draw the graph of 9 (x) y =f(x) 4+ 3+ (0, 2) (-2, 2) (2, 2) 3 -4 - 3-2-11 12345 x . 2
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Pls answer and explain to study 1. Mr. Mize has 3 pairs of shoes, 4 pairs of pants, and 5 shirts. How many outfits can he make? 2. How many ways can you re-arrange the letters in the word, "DESIGN"? Consider the probability tree diagram for the next 2 questions. R - Red, Red R. B -Red, Blue R -Blue, Red B B - Blue, Blue 3. A bag contains 8 red and
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urgent plssss Add the Mayan numbers below. Fill in the blanks for the sum of the two numbers. The number of kins is The number of uinals is The number of tuns is The number of katuns is The number of baktuns is +
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C. The DNA in a cell is approximately two meters long. In the Mind and Brain unit, you learned that the human brain has over 100 billion neurons. If all the DNA in all your neurons were put together in one long string, what is the longest distance that it could cover? State all your assumptions and show your work. a. The length of Manhattan b. The
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Help me to understand these problems, I am confused I. IO Pts Using limits prove or disprove following time complexities a) T(n) = 5n' + 3n + 100 => O(n?) b) T(n) = 5n2+ 3n + 100 => 0 (n2) c T(n) = 6n3 - 4n2+ 5 => O(n2) d) T(n) = 6n3 - 4n- + 5 => 0(n2) e) T(n) = 6n3 - 4n- + 5 => 0 (n2)
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The topic is "Difference of squares" (a^2-b^2) Pleaseprovide An explanation of the factoringtechnique, 3 examples & 2 of the examplesmust have a GCF first. I For each topic you must include the following: o An EXPLANATION of the factoring technique. o THREE EXAMPLES with various levels of difficulty. o **Two of the examples must include a GCF
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Suppose that you currently own a clothes dryer that costs $25 per month to operate. A new efficient dryer costs $630 and has an estimated operating cost of $15 per month. How long will it take for the new dryer to pay for itself? The clothes dryer will pay for itself in months.The table to the right shows expenses and income for an individual,
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1. A bridge is being designed to connect two towns (one at point A and the other at point C) along the shores of Lake Toftee in Minnesota. Layanne has the responsibility of determining the length of the bridge. Since he cannot accurately measure across the lake (AC), he measures the only distance he can by foot (AB). He drives a stake into the
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A King in ancient times agreed to reward the inventor of chess with one grain of wheat on the first of the 64 squares of a chess board. On the second square the King would place two grains ofwheat, on the thirdsquare, four grains ofwheat, and on the fourth square eight grains of wheat. If the amount of wheat is doubled in this way on each of the

Table 1 - Mass of Jupiter in Solar Masses M M Where Jup is the mass of Jupiter in solar masses a 3 a is the radius of the orbit in A. U. (astronomical M - Jup p units ) p is the period of the orbit in Earth years From Callisto M M Jup From Ganymede M M Jup o From Europa M M Jup From Io M M Jup M Average M Jup
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Can someone help with this case study. I have to analyze the data, provide alternatives and recommendations. \f\f\f
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Solve this recurrence relation with the given conditions an = 4an1 4an2for n 2 2, a0: 1, a1 = O
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The startup cost for a boutique is $15,000, and each floral arrangement costs $17 for the boutique to make. If each arrangement is then sold for $25, after how many arrangements does the boutique break even?

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I need help with this differential equations problem \f\f
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Explain the effect that "a" has on the function f(x) = a(x - h)2 + k.

help! What is the equation of the circle with center (-6,7) that passes through the point (4, -2) ? O(x+6 +()-7) -181 (x-6) +() +7) =181 (x+6)+(1-7)=9 O (x-6)+()+7)=9
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The cost function for a company is C(x) = 90x + 1,800, where x is the number of units produced. What is the y-intercept, and what does it represent?

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