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At George Washington High School the ratio of graduating seniors that go on to college, as compared to those who do not, is 7 : 4. Last year 28 students went on to college. How large was the graduatin
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The panthers football team lost 4 yards on each of their first two plays of the game. Write an integer to describe this situation.
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The population of the US is about 300,000,000. If Spanish is the primary language for 10.7 percent of the population , about how many people speak spanish as their primary language?
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The 6th graders are running the mile in physical education. Elian finishes the mile 2 minutes before Stacey who finished 1 minute 26 seconds after Kareem, and her time is 8 minutes 43 seconds. What is
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A loan for $2,000 with a simple annual interest rate of 18% was made on September 26 and was due on November 17. Find the ordinary interest.
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The bag of peanuts shown is on sale for $9.30. the pep club wants to divide the bag into 3/4 lb bags to sell at the football game. how much will it cost to fill one small bag ?
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Mark was on a softball team that plays Wednesday and Friday nights. The team's season wrapped up, and Mark looked at their wins and losses. He drew a Venn diagram using two circles: Circle A represent
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Chocolate Chip Cookies 1 ½ cups unsalted butter 1 ¼ cups granulated sugar 1 ¼ cups brown sugar 2 teaspoon vanilla 2 eggs 3 ½ cups all-purpose flour 2 teaspoons baking soda 4 cups semi-sweet
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Marian is a sprinter, running short distances on the track team. she wants to find how fast she runs in miles per hour. what units should she start with?
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Ray is 23 years older than his sister Carol. in 20 years he will be twice as old as Carol. how old is each of them now?
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ABCD is a parallelogram. E is the point where the diagonals AC and BD meet. Prove that triangle ABE is congruent to triangle CDE
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A student spends the same amount each week for bus fare. In 5 weeks he spends $115. Write an equation for this relationship. Let x = number of weeks.
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Choose an equation for the line that is parallel to the given line and passes through the given point for questions 1 and 2. y=5x+10; (2,14) a.y= 1/5x+4 b. y= -1/5x-4 c. y=5x-68 d. y=5x+4 2. y=1/
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Let V be the volume of the solid obtained by rotating about the y-axis the region bounded y = sqrt(25x) and y = x^2/25. Find V by slicing.
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w much money would you have to invest at 8 8 % compounded semiannually so that the total investment has a value of $ 2 comma 150 2,150 after one year?...
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Animals in an experiment are to be kept under a strict diet. Each animal should receive 50 grams of protein and 9 grams of fat. The laboratory...
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Chocolate Chip Cookies 1 ½ cups unsalted butter 1 ¼ cups granulated sugar 1 ¼ cups brown sugar 2 teaspoon vanilla 2 eggs 3 ½ cups all-purpose flour 2 teaspoons baking soda 4 cups semi-sweet
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suppose F is a filed and G is a sub-filed of F. Suppose that as a vector space over G, F has finite dimension m. let V be a vector space over F.
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I do not get the intermediate value theorem and its importance to the limits!
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In a family with 4 children, excluding multiple births, what is the probability of having 4 girls?
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Answer the following questions for the arrow diagram below: 1. Does the diagram above represent a function f: X Y? Explain why or why not 2. If so,
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frosty the snowman was made of 3 snownballs placed on top of each other. The middle and top snowballs radii are 1/2 and 1/4 the radius of the lower...
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A farmer buys a new tractor for $159,000 and assumes that it will have a trade-in value of $87,000 after 10 years.
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Obtain asymptotically tight bounds on lg(n!) without using Stirlings approximation. Instead, evaluate the summation lg(')''=1 using techniques from...
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A jazz concert brought in $ 179,500 on the sale of 8700 tickets. If the tickets sold for $15 and $25 each, how many of each type of ticket were sold?...
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At a certain factory, the total cost of manufacturing q units during the daily production run is C(q) = q^2 + q + 850 dollars.
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A person conducts a survey at a local mall and obtained the following results:
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1. The following are 25 final averages in a math class: 46 49 53 60 61 a) b) c) d) e) f) What is the mode? What is the median? What is the mean
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Prove that the ring Zn is an integral domain precisely when n is a prime number. Prove that there are infinitely many prime numbers.
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In order to offer this service, Marion will need to invest in a state-of-the-art photo printer through her photography supply company at a list price...
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When solving a rational (Please note: not radical) equation what is the first step we must always take?
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A dance studio charges $80 per student for a series of four 2hour dance lessons.
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A bookstore buys and sells used textbooks.
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Question 3. Prove that if x 1 , . , x n are nonnegative numbers, then (x 1 x 2 x n ) 1/n (x 1 + + x n )/n. * hint: Consider the problem: maximize:
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S(k) = 3S(k-1) + 4 with S(1) = 1 what is the recurrance relation
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Each of the 4 children in a family drinks 24 ounces of milk everyday. How much pints, quarts, and gallons of milk do the children drink in one week (7 days)?
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Mai drove 260 miles using 12 gallons of gas. At this rate, how many gallons of gas would she need to drive 286 miles
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Given below is the odd-number function. Which of the following are equal to O(7)? Check all that apply. O(n) = 2n - 1
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What is the y-intercept of the line shown? A coordinate plane is shown. A line passes through the y-axis at −1 and through the point 1 comma 2.
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Which choice is equivalent to the expression -2(5y - x) + 3 (2x - 6y)? A. -16y -5x B. -16y - 7x C. -28y + 4x D. -28y + 8x
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For each ordered pair (x,y) , determine whether it is a solution to the inequality 5x-8y<13 (4,0) (-4,2) (-7,-6) (9,6) .
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Chocolate Chip Cookies Recipe 1 ½ cups unsalted butter 1 ¼ cups granulated sugar 1 ¼ cups brown sugar 2 teaspoon vanilla 2 eggs 3 ½ cups all-purpose flour 2 teaspoons baking soda 4 cups sem
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Write six different iterated triple integrals for the volume of the tetrahedron cut from the first octant by the plane 12x+3y+4z=12. Evaluate the first integral.
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Find how many quarts of 5% butterfat milk and 1% butterfat milk should be mixed to yield 60 quarts of 3% milk
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The partnership of Brandon and Ryan is being liquidated. All gains and losses are shared in a 3:1 ratio, respectively. Before liquidation, their balance sheet balances are as follows: Cash $10,000, Ot
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For each ordered pair (x,y) , determine whether it is a solution to the inequality y≥-3x+2 (-2,4) (4,-8) (8,-20) (-7,23) .
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Find the length and width of a rectangle when the width is 4ft. Shorter than the length. The perimeter of the rectangle is greater than 72ft.
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Ryan is training for a running race. He needs to run 20 miles per week as part of his training. He ran 4.32 miles on Monday and 7.84 miles on Wednesday. Round each distance to the nearest mile. Abou
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A financial analyst was analyzing the performance of the stocks on the New York Stock Exchange, for a recent year. He wondered whether the mean rate of return for such stocks was negative (that is, le
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The area of a rectangular wall of a barn is 208 square feet. It’s length is 10 feet longer than twice it’s width. Find the length and width of the wall of the barn
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