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Find the points on the curve y = x4 − 14x2 + 6 where the tangent line is horizontal.
General
2 months ago
An elementary school is offering 3 language classes: one in Spanish, one in French,and one in German. The classes are open to any of the 100 students in the school.There are 28 students in the Spanish class, 26 in the French class, and 16 in theGerman class. There are 12 students that are in both Spanish and French, 4 thatare in both Spanish and German, and 6 that are in both French and German. Inaddition, there are 2 students taking all 3 classes.(a) If a student is chosen randomly, what is the probability that he or she is not in any of the language classes?(b) If a student is chosen randomly, what is the probability that he or she is taking exactly one language class?(c) If 2 students are chosen randomly, what is the probability that at least 1 is taking a language class?
General
2 months ago
According to the nutritional information on a package of General Mill's Honey Nut Cheerios® brand cereal, each 1-ounce serving of Cheerios contains 3 grams protein and 24 grams carbohydrates†. Each half-cup serving of enriched skim milk contains 4 grams protein and 6 grams carbohydrates. If I require A grams of protein and B grams of carbohydrates, give a formula that tells me how many servings of milk and Cheerios to use.
General
2 months ago
An investment of $57 comma 000 was made by a business club. The investment was split into three parts and lasted for one year. The first part of the investment earned 8% interest, the second 6%, and the third 9%. Total interest from the investments was $ 4290. The interest from the first investment was 3 times the interest from the second. Find the amounts of the three parts of the investment.Investment 1 =Investment 2 =Investment 3 =
General
2 months ago
Emily and Sophia go to the movie theater and purchase refreshments for their friends.Emily spends a total of $45.50 on 7 drinks and 4 bags of popcorn.Sophia spends a total of $25.50 on 4 drinks and 2 bags of popcorn.Write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn.Using these equations, determine and state the price of a bag of popcorn, to the nearest cent.
General
2 months ago
A study conducted at a certain college shows that 65% of the school's graduates find a job in their chosen field within a year after graduation. Find the probability that 11 randomly selected graduates all find jobs in their chosen field within a year of graduating. Round to the nearest thousandth if necessary. Round to three decimal places as needed.
General
2 months ago
Six mobsters have arrived at the theater for the premiere of the film "Goodbuddies." One of the mobsters, Frankie, is an informer, and he's afraid that another member of his crew, Joey, is on to him. Frankie, wanting to keep Joey in his sights, insists upon standing behind Joey in line at the concession stand, though not necessarily right behind him. How many ways can the six arrange themselves in line such that Frankie’s requirement is satisfied?A. 6B. 24C. 120D. 360E. 720
General
2 months ago
A sample survey of 20 male students at UNT gave the following data with regard to their weight: Mean = 175; Std. Deviation = 60. A sample of 25 females at UNT is also surveyed concerning their weight. The results were a mean weight of 130 pounds with a standard deviation of 35 pounds. In comparing the male sample above with the female data (male vs. female), using CV, which one is more variable?A. MaleB. FemaleC. Not enough information to tell
General
2 months ago
A lumber company needs to estimate the volume of wood a load of timber will produce. The supervisor knows that the volume of wood in a tree varies jointly as the height h and the square of the tree’s girth g. The supervisor observes that a tree 40 meters tall with a girth of 1.5 meters produces 288 cubic meters of wood. a. Write an equation that represents this situation. b. What volume of wood can the supervisor expect to obtain from 50 trees averaging 75 meters in height and 2 meters in girth?
General
2 months ago
Determine whether the function f(x)=4x^3 is even or odd
General
2 months ago
Which set of ordered pairs could be generated by an exponential function?• (-1-).(0, 0), (1,3),(2,1)• (-1, -1), (0, 0), (1, 1), (2,8)(-1..). (0, 1), (1, 2), (2,4)(-1, 1), (0, 0), (1, 1), (2, 4)
General
2 months ago
What is the solution to the equation
General
2 months ago
At the popular restaurant Fire Wok, 55%55%55, percent of guests order the signature dish.What fraction of guests order the signature dish?
General
2 months ago
If y varies inversely with x and y triples, then what happens to x?
General
2 months ago
A car is traveling at a rate of 90 kilometers per hour. What is the car's rate in miles per hour? How many miles will the car travel in 4 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answer.Rate:Distance in 4 hours:
General
2 months ago
Anna deposited $10,000 into an account three years ago. The first year she earned 12 percent interest, the second year she earned 8 percent interest, and the third year she earned 4 percent interest. How much money does she have in her account today?
General
2 months ago
Three cards are lined up on a table. Each card has a letter printed on one sideand a positive number printed on the other side. One card has an R printed onit, one card has a G printed on it, and one card has a B printed on it. Thenumber side of each card is facedown on the table. The following is known aboutthe three concealed numbers:(i) the product of the number on the card with an R and the number on thecard with a G equals the number on the card with a B;(ii) the product of the number on the card with a G and the number on the cardwith a B is 180; and(iii) five times the number on the card with a B equals the number on the cardwith a G.Determine the product of the numbers on the three cards.
General
2 months ago
Answer and explanation on how to do it please.
General
2 months ago
Write a function called interleave to interleave two row arrays of equal length. Ex: For row arrays arrayOne and arrayTwo, the output row array is arrayThree = [arrayOne(1), arrayTwo(1), arrayOne(2) ,arrayTwo(2), …]. The function should work for rows of any length. Hint: Create a new array by concatinating arrayOne and arrayTwo, then flattening the array to finally end up with the desired row array. No internal functions are needed. Ex: Flattening a=[1,2;3,4] gives [ 1; 3 ; 2; 4]. Restrictions: For and while loops should not be used.
General
2 months ago
At the gym, mandi ran 2 miles on the treadmill and then hiked 5 miles burning a total of 370 calories. If mandi burns 17 more calories running than she does biking, how many calories does she burn each mile that she bikes
General
2 months ago
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