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Use the limit comparison test to determine the convergence or divergence of the series. ∞ 5 8n + 1 n = 1
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What is the approximate distance between points T and U? Round your answer to the nearest hundredth. A.2.66 units B.3 units C.3.16 units D.4 units
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LMN is an isosceles triangle. What is the approximate length of side LM, and what is the approximate perimeter of triangle LMN? Round your answer to the nearest tenth. A.The approximate length of side
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Which of the following best describes the altitude of a triangle? A. A segment perpendicular to a side of the triangle B. A segment that passes through the midpoint and is perpendicular to a side of
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At the beginning of an environmental study, a forest covered an area of 1500km2 . Since then, this area has decreased by 9.3% each year. Let t be the number of years since the start of the study. Let
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Find zeroes of the 4x^2+5√2x-3 and verify the relation between the zeroes and the coffiecient of the polynomial?
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Write the equation of the line that passes through (1, 3) and has a slope of 2 in point-slope form. y – 1 = 2(x – 3) y – 3 = 2(x – 1) x – 1 = 2(y – 3) x – 3 = 2(y – 1)
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Red light of wavelength 633 nm from a helium-neon laser passes through a slit 0.300 mm wide. the diffraction pattern is observed on a screen 3.40 m away. define the width of a bright fringe as the dis
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A hardware store sells single digits to be used for house numbers. There are five 5s, four 4s, three 3s and two 2s available. From this selection of digits, a customer is able to purchase her three-di
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The football game was attended by 417 people, 22% more than last week. How many people attended last week’s game?
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A group of friends gets together to play a sport. First, people must be divided into teams. Each team has to have exactly 4 players, and one can be on more than one team. How many teams can they make?
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A researcher wishes to determine the difference between HDL cholesterol levels for men and women at age 50. It is believed that such levels are normally distributed. A SRS of 30 men yields average 48
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Graph the functions and approximate an x-value in which the exponential function surpasses the polynomial function. In your final answer, include a copy of the graph. y = 2x^2 + 7 y = 5^(x-4)
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Bob and Alice have a mortgage for $73,280. If the mortgage is set at seven percent for 30 years how much is their monthly payment if the rate is 6.75 per $1000?
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Consider a standard deck of of 52 cards. If three cards are chosen, what is the probability that the first is a jack while the second and third are kings?
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Can someone help me understand how were going to find the f(x) and the g(x) in this question thank you
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Three different golfers played a different number of holes today. Rory played 9 holes and had a total of 42 strokes. Jordan played 18 holes and had a total of 79 strokes. Ricky played 27 holes and had
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The graph shows the function f(x) = |x – h| + k. What is the value of k?k = –2.5k = –1k = 1k = 2.5
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The function y=60/x relates y, the time in hours that it takes Michael to travel to his grandparents’ house, to x, his average speed in miles per hour. What does the number 60 in the function repres
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PLEASE HELP .... Rebecca is a high school student with part time and she earns $10 per hr. doing clinical work for her father least $150 a week, but because of school she does not want to work more th
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BRAINLISET TO ACCURATE Solve. |x - 4| - 16 = -10 A. { -10 , 10 } B. { -2 , 10 } C. { 2 , 10 } D. { -10 , 2 }
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In calculus,I need to use L'Hopital's rule tofigure out the derivative of lim (x^2)(e^-x)x->0can someone explain how to use the rule on a non fractional function?
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The 5th term in a geometric sequence is 120 the 7th term is 30. What are the possible values of the 6th term if the sequence? 60 +60 75 +75
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Use the standard normal table to find the z-score that corresponds to the given percentile. If the area is not in the table, use the entry closest to the area. If the area is halfway between two
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The moon is a sphere with radius of 567 km. Determine an equation for the ellipse if the distance of the satellite from the surface of the moon varies from 900 km to 169 km.
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What is the solution to this system of linear equations? 2x + y = 1 3x – y = –6 A. (–1, 3) B. (1, –1) C. (2, 3) D. (5, 0)
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Write a rule for the linear function in the table. x f(x) –3 –1 0 2 3 5 6 8 Question 17 options: f(x) = x – 1 f(x) = x + 2 f(x) = 3x f(x) = x – 2
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Suppose you overheard the following conversation: William: I have three children. Harry: What are their ages? William: The product of their ages is 36. Harry: I can't determine their ages. William: Th
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He temperature on a particular day started at –13°F. It rose steadily by 3° each hour. The function y = –13 + 3x models the temperature, where x is the number of hours and y is the temperature.
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A log splitter can split 5/6 cords of wood in 4/5 of an hour. compute the unit rate by setting up a complex fraction and simplifying
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Karen will divide her garden into equal parts she will plant corn on 8/12 of the garden what is the fewest number of parts she can divide her garden into
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An interior designer purchased 4 1/2 yard s, 6 2/3 yards and 9 1/4 yards of fabric to make curtains. how many yards of fabric did they purchase
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Graph the equation -4+2y=24 on the x-y coordinate plane . identify the x-intercept of the graph . Identify the y-intercept of the graph .
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The location of four buildings on a coordinate grid are as follows: Building 1 is at (−5, −3) . Building 2 is at (−5, 5) . Building 3 is at (4, 5) . Building 4 is at (4, −3) . A bike co
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A recipe calls for 1 3/4 cups of bread flour and 1 2/3 cups of whole wheat flour. what is the total amount of flour used in the recipe? Express your answer as the simplest mixed number.
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The value of y varies directly with x. Which function represents the relationship between x and y if y = 20/3 when x = 30?
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Consider the recursive formula an = 2 + an-1 2 . The first term of the sequence is 10, what is the third term?
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A rocket is thrown and its path is modeled by the function y= -9x^2+18+6 the y represents the height of the rocket in feet and x represents the time in seconds.
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If KN = 9 cm, MN = 21 cm, RS = 42 cm, and PS = 18 cm, what is the scale factor of figure PQRS to figure KLMN?
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The probability of a randomly selected employee of a company being male is 60%. The probability of the employee being less than 30 years old is 70%. If the probability of the employee being less than
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F. For the function (x > 10), consider the interval [a, b]. If the starting point of the interval, a, remains fixed and the endpoint, b, keeps extending, what eventually happens to the average rate of
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What is the first term of the geometric sequence presented in the table below? n 3 8 an 112 −3,584 Hint: an = a1(r)n − 1, where a1 is the first term and r is the common ratio. a1 = −28 a1 = −2
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Presley is organizing the school book sale. Each stall will have 40 books on the shelf and 2 boxes of books with b books inside. Presley also has 200 books in inventory to refill the shelves as books
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Mariska was decorating her room she arranged 63piture tiles on a walllcin the shape of a rectangle how many rows of tiles could be on the wall
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Your model locomotive 16 inches long. What is an exact model of a locomotive that is 40 feet long. On the locomotive is how many times wider than a window on the model?
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Robert manages a large farm and keeps his goats in two fenced areas. The number of goats in each of the two fenced areas can be modeled by the following functions, where t represents the number of mon
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Find the dimensions of the rectangle with the largest area that can be enclosed on all sides by l meters of fencing.
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Sofia is the helper for the kindergarden class and is in charge of picking a video for their end-of-the-year party to choose which type of movie they were like best she decided to the survey every oth
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When we estimate distances from velocity data, it is sometimes necessary to use times t0, t1, t2, t3, . . . that are not equally spaced. we can still estimate distances using the time periods ∆ti =
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Jo runs everyday Jo has discovered that if she sleeps well the probability that she will run the next day is 0.8 however if Joseph sleeps badly the probability that she will run well falls to 0.1 Joe