
1. Prove that if Th is of weakly acute type (every angle of every
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3y = 13 and 4x + y = 5. 7. A 12 metre long ag pole has a shadow that is 18 metres in length. How tall is the nearby tree that casts a shadow of 36
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Enrollment projections (in millions) for all U. Let x = 0 correspond to 2000. Fill in the values of x in the table, and then calculate the least...
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A safety light is designed so that the times between flashes are normally distributed with a mean of 2.50s and a standard deviation of 0.40s. a. Find the probability that an individual time is greater
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Zane is a dangerous fellow who likes to go rock climbing in active volcanoes. One time while inside a volcano, he heard some rumbling, so he decided to climb up out of there as quickly as he could. He
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If the reserve rate is 4% and a bank, receives a deposit of $12,000, how much of the $12,000 is the Bank free to loan out?
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The sum of two numbers is 68. Five times the smaller number is 16 more than the larger. Find the two numbers.
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Reggie Jackson hit five home runs in the 1977 World Series, which lasted six games. By contrast, Lou Gehrig hot four homeruns in the 1982 World Series, a fourgame series. On the average, which baseba
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Jennifer has a taco stand. she has found that her daily costs can be modeled by c(x)=x^240x+610, where c(x) is the cost, in dollars, to sell x units of taco. if she wants to keep her daily costs at $
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Identifica que representa cada una de las siguientes ecuaciones: un punto, una circunferencia o el conjunto vació. 1.x2+y28x+4y29=0 2.x2+y2+4y5=0 3.x2+y24x+6y+13=0 4.x2+y24x+2y20=0 5.x2+y2+8x
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Advanced linear algebra question. For lecture 39, Trefethen and Bau book, can you help me to solve exercise 39.1,and 39.2?
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A basketball is thrown upwards. The height f(t), in feet, of the basketball at time t, in seconds, is given by the following function: f(t) = −16t2 + 16t + 32 Which of the following is a reasonable
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Suppose that it rains in Spain an average of once every14days, and when it does, hurricanes have a9%chance of happening in Hartford.
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The volume of a cone varies jointly as the square of its radius and its height.
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Dr. Black is standing 20 feet from a streetlamp. The lamp is making his shadow 5 feet long. He estimates that the angle of elevation from the tip of his shadow to the top of the streetlamp is 30. To t
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CD is the perpendicular director of abuse. G is the midpoint of ab. Points e and f lie on CD. Which pair of line segments must be congruent
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Use implicit differentiation to find the slope of the tangent line to the curve: y/x+4y=x^3+4, at the point (1,15/19).
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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 allpurpose flour 2 teaspoons baking soda 4 cups semisweet
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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= 1/5x4 c. y=5x68 d. y=5x+4 2. y=1/
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Let V be the volume of the solid obtained by rotating about the yaxis 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 allpurpose flour 2 teaspoons baking soda 4 cups semisweet
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suppose F is a filed and G is a subfiled 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 tradein 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 stateoftheart 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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