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Mathematics Questions and Answers March 25, 2023

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CHAPTER 6 h/ 2 2 1. The energy eigenvalues are k = k . The mean value over the volume of a sphere in k space is 2m = h/ 2 k 2 dk k 2 3 h/ 2 2 3 = k F = F . 2m k 2 dk 5 2m 5 The total energy of N electrons is 3 U0 = N F . 5 2a. In general p = -U/V at constant entropy. At absolute zero all processes are at constant entropy (the 23 3 h/ 2 32 N = N ,

plz explain Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and express the quotient P(x)/D(x) in the form n P ( X ) = Q ( x ) + - R ( X ) D (x ) D(X ) P(x) = 4x4 - 2x3 + 20x2, D(X) = 2x2 + 9 P ( X ) D(X )
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In the Markov diagram below, if we start in A, what is the total of the numbers representing all the arrows leaving A? A. 1 B. 0.10 C. 10 \f
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A model estimates that a gray whale travels 72 to 77 miles each day during its migration. Based on this model, which inequality represents the estimated total number of miles x, a gray whale could travel in 14 days of its migration

\fFor each transformation of y = f (x) indicated, the invariant point exists at point number: y = -f(x) --> invariant point is at y = f(-x) --> invariant point is at x = f(y) --> invariant point is at
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Recall the following formula that we derived for use in simple interest loans. How many months would it take for the debt to double on a simple interest loan whose annual rate is 6.78%? In other words, find the doubling time

In a spaceship factory, there are six spaceship parts that need to be manufactured, but they have to be created one at a time (because there is only one robot capable of doing the job). How many ways are there to manufacture the six parts, if the spaceship engine must be manufactured before the spaceship hull? The other four components can be

Given n ( J ) = 270 , n ( K ) = 190 and n ( J K ) = 425 , find n ( J K ).

MATH 201 - Brief Calculus Review for Test 1 1. Estimate the slope of the following function at x = 1. Show (on the graph) how you arrive at your estimate. 2. Use the limit definition to find the derivative of each function. a) b) f ( x) 3x x 2 f ( x) 1 x 3. Describe the x-values for which f is differentiable. Explain your reasoning. a) b) y x3 y x

Find the identical expression for the following. cot O - tan 0 a. sec b. sin2 0- cos2 0 c. cos20 - sin2 0 COS 20 - sin2 0 d. sin Ocos 0 sin2 0- cos2 0 e. sin Ocos 0
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The prices of four phones are $148, $174, $244, and $194.How does including the price of the inexpensive phone affect the mean? By including the phone for $55, the mean is decreased by $

Watch the video and then solve the problem given below. Click here to watch the video. Given v = 2i + 6j and w = -i+j, a. Find projwV. b. Decompose v into two vectors v, and v,, where v, is parallel to w and v2 is orthogonal to w. a. projwv = (Type your answer in terms of i and j.)
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id like to julia plot $f(x)=\frac{27\mu x^2(1-x)}{16},$ for mu =64/27 showing taht it is tangential to the identity line

The resort management makes a net profit of $250 per day per guest during the first 2 days of the stay, and $150 per day per guest after the first 2 days. How much profit will the resort owners make in a month (assuming 30 days in a month) if there are 100 guests arriving per day?

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Using permutations and combinations calculate thhis 2P66C5( 10!7!7!5!4!4!4!3!3!2!2!2! 57! )10P3( 5 5+321 )

dec 2022 and the liquidator was appointed in 1 may 2024 how many years in between

M Slove the right triangle @love the right triangle ABC , with C= 90 on S m = Do B= 73.70 0= 123 in. 51.90 m = Om A = 170 124 m Z P = 0 a = min C= ]in . A 125 - m fire truck ladderis leaning against awall . Find the distance the ladder goes up the wall cabove the fire truck ) if the the lorrie makes an angle of 32026' with horizontal . m 12.5m -
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If profit(q) = -32 + 16 * q + 0.46 * q", what is the marginal profit from selling the 42 iter
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MEBEF3C | Unit 1 Test: Trigonometry Full Name: INSTRUCTIONS: Date: 1. Read each question carefully. 5. Rownd answers to two decimals place unless indicated in the question and reduce fractions if necessary. 2_our name must appear on all pages. &_All questions must be answered in proper form, showing all necessary steps to receive full marks. 3.
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Use a definite integral to find the area of the region bounded by the given curve, the x-axis, and the given lines. First sketch the region. y = 2 - x - x^3, x = -3, x = 0

Give the degree measure of theta if it exists. Do not use a calculator. thetaequalsarccosineleft parenthesis one half right parenthesis

The distance of the point P (4, 1) from the line 3x - 4y + 12 = O is

2.6.01.a. The population of a community is known to increase at a rate proportional to the number of people present at time t. If an initial population P, has doubled in 4 years, how long will it take to triple? Type your answer in years in the space provided below. Round your answer to ene decimal place
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opener Period Find all are measures. MCD C MAE MDE Al Bo 710 E 920 88 D
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Which of the following is not a tip for using note cards? Question 22 options: Utilize the whole card in order to minimize the number of cards you use Use bullet points Only write on one side of your card Don't play with your cards Include key signposts

Calculate the outcomes of a group of fishers who harvest a renewable resource. The resource X is defined by X[t+1] =X[t] +r*X[t] *(1-X[t]/K)-q*E*X[t] a. What does q*E*X[t] mean? What is the meaning of the 2 parameters q and E b. Make a graph in Excel of Harvest as a function of effort using K = 100; r = 0.1 and q = 0.04. Make use of Equation 8.20

Use PMT equals StartFraction Upper P left parenthesis StartFraction r Over n EndFraction right parenthesis Over left bracket 1 minus left parenthesis 1 plus StartFraction r Over n EndFraction right parenthesis Superscript negative nt right bracket EndFraction to determine the regular payment amount, rounded to the nearest dollar. In terms of

Fill in the blank. To find 50% of a number, divide the number by

You have a carry over balance of 1300 on a credit card that has a 15.99% APR. You have a recurring monthly purchase of 80 dollars for your internet service, and make no other purchases. You make a payment of 9% of your ending balance each month. Round to the the nearest cent

Part 3: Determine the Truth Value (2 questions worth 5 points each. Total: 10 points) Determine the truth value of the following statements given the assumptions. Be sure to show your work, or I cannot give you partial credit. A, B = True statements; X, Y = False statements; P, Q = Unknown truth values 1.) (P A) (B Q) 2.) A (B Q)

Directions: Answer the following, be sure and show your mathematical work 1. Your veterinarian prescribes a dose of medication which is 1 mL for each 10 lbs. This means a 10 lb. animal will receive 1 mL. How many mL should you give a 70 lb. animal? Show your work

The area of a circle with radius r is increasing at a rate of 15 square inches per minute. Find the rate at which the radius is increasing when the radius is 2 inches. (Round your answer to three decimal places. When the radius is 2 inches, the radius is increasing at a rate of _____ inches per minute.

A manufacturer's marginal-revenue function is dr/dq = 100 + 50q - 3q^2 If r is in dollars, find the change in the manufacturer's total revenue if production is increased from 5 to 10 units.

Question 11. Find the mass of the solid bounded above by the hemi-sphere z = \\25 - x2 - y2 and below by the plane z = 4 if the density at a point p is inversely proportional to the distance from the origin. [Hint: Express the upper phi limit of integration as an inverse cosine.] Hard Extremely K on top
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Mary Barth is considering starting a car rental business. She plans to buy four cars initially and add a fifth car at the end of the second year. Each car will cost 20,000

Google the formula for the volume of a torus (donut).Cut up and measure your donut's minor and major radii accordingly so that you can compute the volume of your doughnut, using the formula.Post pictures of your donut, and illustrations of how you got your two measurements, as well as your volume estimate.

How is the graph misleading? note how it distorts the data. Also include recommendations on how to fix the graph so that it "tells the truth. Gun deaths in Florida Number of murders committed using firearms 0 200 2005 Florida enacted 400 its 'Stand Your Ground' law 600 721 800 873 1,000 1990s 2000s |2010s Source: Florida Department of Law
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Solve the equation. (splus7)(sminus12)equals0 . . . Question content area right Part 1 The solution set is StartSet nothing EndSet . (Use a comma to separate answers as needed.)

let G be a group and let H be a subgroup of G with |G : H | = 2. (we know that if H is a subgroup of group G. Then (a) if H = {e} then |G: H | = | G | (b) if H = G then | G : H= 1 | (use this proposition: Let H and K be subgroups of a group G, let x be an arbritary element of G. There are several ways to construct (possibly) new subgroups of G :

The carnival fundraiser at Westville Elementary School raised $300 on Friday. On Saturday, the carnival will raise 480 percent of that amount. Which statements are true about the amount of money that the carnival will raise on Saturday? Check all that apply. The answer will be less than $300 because 100 is less than 480. The answer will be greater

Evalan la pertinencia del tema de investigacin: a) Necesidad b) Relacin c) Objetividad d) Lineamientos e) Delimitacin f) Factibilidad g) Exactitud h) Novedad i) Innovacin Seleccione una: a, d, h c, f, i b, c, g a, e

2. Consider the following differential equation, y" tyty' =0 (a) Let x1 = y and x2 = y'. Find the equivalent first order system. (b) Consider the following function, V(x1, 2) = + 2 Find the time derivative of V(x1(t), x2(t) ) along any trajectory (x1(t), x2(t) ) of the given first order ODE. (c) What does this imply about the interval over which
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The length of the drawing is 50 mm, the scale is given as 1:5. Find the actual length. 50 cm 10 cm 25 cm 10 mm? 125

Solve for x. Don't forget to perform a check. negative 11xequalsnegative 88 . . . Question content area right Part 1 The solution set isnbsp StartSet nothing EndSet .

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LC MHF4U Learning Activit Unit 3 Assign Given a sector with an arc length of 4.5 cm and a radius of 3 cm, find the angle subtended by the arc. [2 marks]
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Find the angle of their peripheral vision( labelled with curved arrow) that would allow them to see from the point M to R wide. Show all your work A person's peripheral vision is how wide they can see as shown in the image below 14.5 m X M R - - -+- - - ----- 17.8 m
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To help with his child's fund, Felipe needs to invest. Assuming an interest rate of 2.12% compounded monthly, how much would he have to invest to have 83,700 after 11 years

The minute hand of a clock moves from 12 to 3 o'clock and the tip of the hand moves 16 inches. Find the length of the minute hand. Give an approximate answer rounded to 2 decimal places. inches Get help: Video Submit
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find y as a function of x if y'''-6y''-y'+6y=0 y(0) = -7 y'(0) = -9 y''(0) = 98

Find the volume V of the largest rectangular parallelepiped that can be inscribed in the ellipsoid (x^2/9) + (y^2/16) + (z^2/4)=1.b a. 18.48 b. 36.95 c. 73.90 d. 23.09

When making calculations involving percents, they must be written as decimals or fractions. Change each percent to a decimal. (a) 8% (b) 7.4% (c) 3 3 4 %

2. (10 points) The market for cow's milk in the U.S. is in equilibrium as shown on the graphs below. Show on the graph the equilibrium point, the equilibrium price and equilibrium quantity. For each of the following changes use the supply and demand graphs to show the change in the market (shift of the supply curve or the demand curve), the
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Use the unit circle to find all values of 0 between 0 and 2n for which the given statement is true. (Enter your answers as a comma-separated list.) sin 0 = V 2/2 rad
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SAT scores are distributed with a mean of 1,500 and a standard deviation of 300. You are interested in estimating the average SAT score of first year students at your college. If you would like to limit the margin of error of your 95% confidence interval to 25 points, how many students should you sample? Make sure to give a whole number answer.

1. Review: Find the partial fraction of the following (@) G(s) = 2 9245s+4 (b) G(s) = ( s ta) ( 8+6 ) where a, b > 0 and a b (9) G(s) = 3 (8+3) (# +25+2)
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5. (Question 10, Section 5.10 of the textbook) Let U U nif (0; 8): (a) Find P (U 2 (0; 2) [ (3; 7)) without using calculus

9.) Why couldn't Sullenberger head to the Teterboro airport in New Jersey? Teterboro is 6.5 miles from the plane 30 seconds after the bird strike. (1 point)

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Which statement below does not represent an illustration of the area formulas? Group of answer choices A rectangle can be cut along a diagonal line and rearranged to form a nonrectangular parallelogram. Therefore, the two shapes have the same formula. A rectangle can be cut in half to produce two congruent triangles. Therefore, the formula for a

1. Find the cable length AB and BC, the angle C, and the angle B (angle ABC). Use the provided measurements instead of what is in the picture. Angle A = 65*%, AD = 25', DC = 35', & BD=31". Strut - >
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\fP2 PA PA PI DA PI PA 22 P1 Pa PI PI 84 $1 W = 71 1'2 F1 72 13 41 42 173 71 42 TA 81 ST (1) Let A = ooooLe Find N = AMTA. (2) Prove PI P2 Pa P4 91 42 43 44 MN = det 1. 2
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Suppose an investment offers to triple your money in 36 months (don't believe it). What rate of return per quarter are you being offered?

Differentiate the function F(x)=(3/4)(x^8) y=sint+pai*cost B(y)=c*(y^-6) y=x^(5/3)-x^(2/3) y=x^(1/2)*(x-1)

Can anyone help with this problem? Thanks! Find the dual of the following problem: Max 4:131 $2 + 2113 subject to: $1 + 532 S 5, 21:2 + $3 2 6, $1 + $3 = 4, 121 2 0,332 S 0. Write down the complementary slackness conditions for the primal-dual pair of problems. (Note that :33 is unrestricted in the given LP.)
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Translate to a percent equation or percent proportion and then solve to find the unknown number. 51 is what percent of 60

stion 10 Part A In the sport of parasailing, a person is attached to a rope being pulled by a boat while hanging from a parachute-like said. A rider is towed at a constant speed by a rope that is at an angle of 19" from horizontal. What is the weight of the rider? The tension in the rope is 2300 N. The force of the sail on the rider is Express
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Un programa CAD es necesario para emplear tanto CAM como CAE, debido a que: Ambos sistemas requieren un modelo para llevar a cabo ya sea el anlisis o la manufactura. CAE necesita el modelo geomtrico para determinar la red nodal integrada que se utiliza en el anlisis Son la base de programacin para ambos Es de mayor usabilidad en la industria

Answer the following questions. An Application CLASSROOM EXAMPLE 5 Analyzing Pressures of Upper Harmonics Suppose that the A key above middle C is played on a piano. Its fundamental frequency is J, =440 Hz, and its associated pressure is expressed as =0.002sin 8807t The string will also vibrate at f, =880, f, =1320, f, =1760, f, =2200,... Hz. The
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Apple Company bought a car with an estimated life of five years for $12,000. The residual value of the car is $2,000. What will be the amount of depreciation expense each year using the straight line method? If the car was bought on April 3, what would be the depreciation for the first year?

Math's Role in Our Careers How often have you found yourself asking, "When am I ever going to use this?" while studying math. It's understandable but remember, math is not just about numbers and symbols, it's also about logical thinking, problem-solving, and analytical skills - all of which come in handy in various scenarios in life. Let's explore

Solve the equation. (xplus7)(xminus5)equals(2xplus3)(xminus5) Question content area bottom Part 1 The solution set is StartSet nothing EndSet

1) Complete each of the following angle conversions: (1 mark each) a) 106.750 : rad b) 2.075 rad = O c) 126.7350 rad d) 2.25m rad e) - 36.550 = rad f) -n rad = g) 152" = rad h) 67. 530 = n rad
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I need help with some of these questions so i can continue thanks. 8. + 0/1 points Previous Answers AufExc4 11.2.022. My Notes + Ask Your Teacher Calculate the present value. (Round your answer to two decimal places.) A = $15,000, r = 9% compounded monthly, t = 7 years $ 1186.30 X Need Help? Read it Talk to a Tutor Submit Answer Practice Another
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Let R = t] he a function that gives the total revenue of a rm [in millions of dollars} during the the current scal vear, where t is the time in months since the start of the vear. Choose the statement that correctly describes the function %. Do we expect % to he positiver or negative? ii? is the total revenue for the scal year. The units of % are
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Four 10 meter x 10 meter grid cells take up the same area as one 20 meter x 20 meter grid cell. Group of answer choices True False

Solve the equation. 5csquaredequals16cplus16 . . . Question content area right Part 1 The solution set is StartSet nothing EndSet . (Type an integer or a simplified fraction. Use a comma to separate answers as needed.)

@ [il On a single sheet of graph paper, or using graphic software, draw the curves with equations y = J; and y=Jx+2for0$x$20. liil Choose two values of x with 0 g x 5-: 20 and show that for these values the point [ m J?) lies between the two curves. liiil Prove that the point 1 . hes between (xi \\fx - - Jx) the two curves
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Hi can you help me with these questions. I'm not sure if I done them correctly. The book that we're using is Called History of Mathematics: An Introduction. 3rd edition by Victor J Katz. At the bottom is online link to the book with notes/short examples and questions. When you copy and paste the link in another browser it will take you straight to
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In a three period bargaining game, two players are trying to divide an infinitely divisible pie of unit size. 2. Two players are engaged in a infinitely repeated game whose stage game is shown below. L R U 4,4 1,2 D 5, 1 0,4 a) Find all feasible individually rational payoffs. b) Is payoff (4,4) possible in an SPE (assuming o is sufficiently
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Please solve it 2 (20 pts) Perform a dis on the following undirected graph G = (V, E) starting at vertex A; use the ordering given in the adjacenty list representing E. V = {A, B, C, D, E, F, G, H, I, J } E{A} = [B, E] E(B} = [A, C, D] E{C} = [B, D] E(D} = [C, B] E{E} - [A, F, H] E(F} = [E, G] EG) = [F] E{H} = [E, I, J] E{I} = [H, J] E{J} = [H, I]
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A distance between points A and B is measured and recorded as 123.456 meters using a tape that has a certified length of 29.992 meters. What is the true distance between A and B? [CE

Billy, Jessica, Percy, and Annabelle are about to sit down around a square table, with one person on each side of the table. In how many ways can this be done if Percy and Jessica must sit directly across from each other, Billy must sit directly on the right of Jessica, and Annabelle must sit directly on the left of Jessica

Suppose v is a linear combination of v1,v2,...,vm. If we add another vector vm+1, will v sometimes, always, or never be in Span({v1,v2,...,vn,vm+1})

Could you possibly answer this calculus question for me? Show work A silver dollar is dropped from the top of a building that is 1345 feet tall. Use the position function below for freefalling objects. 5m 2 16t-' + vat + 50 {a} Determine the position and velocity functions for the coin. so) = 16t2 + 1345 .r um = 321' g {b} Determine the average
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1) What Excel function can be used to create time? a. Year b. Date c. Len d. Time 2) Which of the following statement is true? a. None of the given statements is correct. b. Pivot tables cannot be used to generate graphs and charts c. Pivot tables can be easily turned into graphs or charts d. Only regular excel tables can be used to create graphs

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Consider isentropic flow through a converging nozzle. The total (reservoir) pressure and temperature are py and Ty, respectively, and the ambient pressure is p,. A static pressure gauge at the nozzle exit measures the exit static pressure p.. (a) Nozzle choking is a compressible flow effect that obstructs the flow, setting a limit to fluid
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Let u = 61 - 3j, and v = -21 + 8j. Find v -u. (Type your answer in terms of i and j )
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pls help D Question 2 10 pts The function is the side of the right triangle on the unit circle formed with the terminal side of 0 that has a height of 1 and is not the hypotenuse. O cotangent O cosecant O tangent O secant
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EA8. LO 11.3 You put $250 in the bank for 5 years at 12%. A. If interest is added at the end of the year, how much will you have in the bank after 5 years

Vienkrojiet izteiksmi sin70 cos25 - cos70 sin25 5 : a. sin(70 - 25) = sin 45 = fraction numerator square root of 2 over denominator 2 end fraction b. sin(25 - 70) = - sin45 = negative fraction numerator square root of 2 over denominator 2 end fraction c. sin( 70 + 25) = sin95

Determine if the following function is even, odd, or neither. u(x)=4x3

Questions of Tutorial Part B (Individual) Q1. Determine the greatest common divisor (gcd) of the integers -123456 and -789. [2.5 marks] Q2: Consider the functions h(z) z* 4z and k(z) v/= 2. Determine the value of (k o h)(z). [2.5 marks] Q3: Explore the surjectivity of the function h : R R given by h(x) % (2.5 marks] Q4. In the following graph,
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