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There are 40 students whose max grade is 65, and there are 70 students who got at most 80%, and there are 35 students who got at least 75%. There are...
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Use the definition to find an expression for the instantaneous velocity of an object moving with rectilinear motion according to the given functions...
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If a rock is thrown upward on the planet Mars with a velocity of 10 m/s, its height (in meters) after t seconds is given by H = 10t - 1. (Round all...
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Line L is defined as line through the point (2 , 7) and perpendicular to the line x + y = 0. What is the point of intersection of L and the line x +
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Imagine that your 12-year-old neighbor is having trouble understanding the necessity of learning mathematics in school, and would like to know how...
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let R be the region bounded by the graphs of y = sin(pie times x) and y = x^3 - 4x. a) find the area of R b) the horizontal line y = -2 splits the...
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A tuning fork is held a certain distance from your ears and struck. Your eardrums' vibrations after t seconds are given by p equals 9 sine 3t .
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Solve the given initial value problem and give the largest interval I on which the solution is defined.
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The owner of a video store has determined that the cost C, in dollars, of operating the store is approximately given by C(x)=2x^2-32x+540, where x is...
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# 1 13 + 3 + 4 ) Using im ( ) = lim ( ) = 2 - - 2 IT lim 9( 2 ) = lim 9 (2 ) = 4 1 2 evaluate the following limits where possible . ( a ) . Jim ( 20...
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1)Can the following series be tested for convergence in the Integral Test. Why or why not?
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You've been asked to make 50 mL of 2% dextrose solution from a 30% dextrose stock. How much diluent will you need for the mixture? How much stock
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Oil is poured on a flat surface, and it spreads out forming a circle. The area of this circle is increasing at a constant rate of 5 cm 2 /s.
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Race time. The equation R = 0.028t + 20.8 can be used to predict the world record in the 200-m dash, where R is the record in seconds and t is the...
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What is wrong with the following 'proof' that all cupcakes have the same flavor?
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Simplify each expression. I got an answer of (7k+27)/(k+3)(k+6) and I think its wrong.
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(a) If li'l' x} exists and lim g(x) does not exist, then lim (f(x)g(x)) does not exist. IH: IN'.' IH {b} It limx} exists and lim(f(x) g(x}) exists,
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What if the desired final mixture was changed to yield a 35% mixture containing pure lemon juice?
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Consider the following case of exponential growth. Complete parts (a) through (c) below. Your starting salary at a new job is $ 1200 1200 per month,...
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I have to provide an real life example which i can not come up with one.
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a recipe calls for 5/4 of a cup of butter. you only used 3/4 of a cup of butter. what fraction of the butter that you should have used did you
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Water is leaking out of an inverted conical tank at a rate of 4500 cm3/min at the same time that water is being pumped into the tank at a constant...
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you just anwsered my question but I'm very confused. I missing someting going from going from 6x 1/6, van you please explain what you do there?
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For winning first prize in an essay contest, you are offered a choice of prizes: a single payment of P dollars now; or B. two payments: $300 one year...
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Consider the line integral jg F - dr, where the vector eld 0 F = 333(cosa: + y)i + 394(sin2 y + x) j and C is the triangle in the myplane with...
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Given: P 1 = (-2, -3) and P 2 = (3,-5), a) Find the distance between the two points. b) Find the midpoint of the line segment from P 1 to P 2 .
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A wire L = 28 cm long is cut into two pieces, one of length x and the other of length L x, as shown in the figure. Each piece is bent into the shape...
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QUESTION 1 Convert 45 o 30' to decimal degrees 45.50 o 45.60 o 45.30 o 45.45 o QUESTION 2 Find the perimeter of the figure below 33.5 m 23.5 m 35 m...
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RECTILINEAR MOTION In Problems 64 through 67, s(t) is the position of a particle moving along a straight line at time t. (a) Find the velocity and...
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Find the derivative. Y=9xln(8x) dy/dx=? P=(4t^4)ln(3t) dP/dt=? f(t)=te^(10-7t) f'(t)=? y=x7^x y'=? w=7z/(1+6z) dw/dz=?
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Two trains, each 100 m long are moving in opposite directions. They cross each other in 8 seconds.
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A spherical snowball initially has a 60 cm radius and it is melting . If the radius shrinks at a constant 2 cm per minute , how fast is the volume of...
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The number of burger king restaurants worldwide in 2012 was 35,752. In 2007, there were 34,561 Burger king restaurants worldwide.
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Question #16 / 40 When ordering the Kids' Lunch at Burger Universe, the customer must choose a size, whether or not to have cheese, a side order, and...
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at the ace sercurity company, each ID badge has 3 letters, which appear consecutively and alphabetically in order, followed by 3 digits from 1...
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Calcuslus 2 stuff. Need done by thursday.
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1. The initial population of a town is 2500 and it grows with a doubling time of 10 years. What will the population be in 8 years?
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A 150-lb person who runs at 8 mph for 1 hr burns about 840 calories. The same person, walking at 2 mph for 90 min, burns about 240 calories. Suppose...
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I don't understand what my professor is asking. my original question and answer: 15t 2 + 2t+5 = 3t(t 2 +1). Let's call this is equation (1) We'll...
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In a past presidential election, it was estimated that the probability that the Republican candidate would be elected was 1/3, and therefore the
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K-mediods algorithm for K=3. Choose (1.0), (6.0), and (5.0) as starting points The points are (1.0), (1.0), (3.0), (5.0), (3.0), (4.0), (3.5), (4.
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A researcher surveyed college students to study their opinion about the proposed change in smoking rules.
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Q1 A company studying the productivity of its employees on a new information system was interested in determining if the age (X) of data entry
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Write a conditional statement. Write the converse, inverse and contrapositive for your statement and determine the truth value of each. If a...
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A nurse mixes 490 cc of a 40% saline solution with a 10% saline solution to produce a 24% saline solution. How much of the 10% solution should he use?...
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The heights, h, of the students in the chorus at Central Middle School satisfy the inequality h 57 5 2 .25, when h is measured in inches.
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A semicircle with radius 7 m is submerged vertically in water so that the top is 3 m above the surface. Express the hydrostatic force against one...
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A furniture company displays bedroom sets which require 21 square meters of space and living room sets which require 42 square meters of space.
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A certain university has a computer lab with 219 terminals. Each day there is a 3% chance that a given terminal will break and a 70% chance that a...
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Calculate which saves you more in total interest on your vehicle loan: financing at one percentage point lower for the APR versus increasing the down...