Answers created by BeeFree

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• How do you find all the real and complex roots of #f(x) = x^3 - 4x^2 - 16x + 64#?
  
• The gas inside of a container exerts #15 Pa# of pressure and is at a temperature of #"45 K"#. If the temperature of the gas changes to #90 ^@"C"# with no change in the container's volume, what is the new pressure of the gas?
  
• How do you use Heron's formula to determine the area of a triangle with sides of that are 25, 58, and 41 units in length?
  
• Question #68e60
  
• A rectangular Persian carpet has a perimeter of 240 inches. The length of the carpet is 24 in. more than the width. What are the dimensions of the carpet?
  
• What is #3sqrt(250x^2)# expressed in simplest radical form?
  
• How do you find the derivative of #g(t)=(2t)^(sin(t))#?
  
• If #f(x) = -x -2# and #g(x) = e^(-x^3-1)#, what is #f'(g(x)) #?
  
• A box contains 3 red balls and 4 green balls. If two balls are randomly selected in sequence, what is the possibility that a red ball and a green ball are picked out of the box?
  
• How do you find 3 consecutive even integers whose sum is -18?
  
• How do you differentiate #ln(x+y)#?
  
• A bag of 33 tulips contains 13 red tulip bulbs, 11 yellow tulip bulbs and 9 purple tulip bulbs. What is the probability that two randomly selected tulip bulbs are both red?
  
• What is the derivative of # 9e^x/x#?
  
• How do you differentiate #f(x) = xcos((pix)/2)# using the chain rule?
  
• If #f(x) =cos3x # and #g(x) = (x+3)^2 #, what is #f'(g(x)) #?
  
• What is the range for the set of data: #22, 36,7, 19, 56#?
  
• What is the implicit derivative of #25=yx^2-xy+y^2x#?
  
• A coin is tossed 4 times, what is the probability of NOT getting 2 heads?
  
• You are on your way to Hawaii and of 15 possible books your parents say you can take 10. How many different collections of 10 books can you take?
  
• Question #e0b54
  
• Question #d87c1
  
• What is the polar form of #( 10,10 )#?
  
• What is the antiderivative of # ln x^(1/3)#?
  
• Question #555c9
  
• Triangle A has an area of #3 # and two sides of lengths #3 # and #6 #. Triangle B is similar to triangle A and has a side with a length of #11 #. What are the maximum and minimum possible areas of triangle B?
  
• How do you implicitly differentiate #-y= x^3y^2-3x^2y^3-7xy^4 #?
  
• Question #da203
  
• Tabitha and Paul are in a video game room that consists of 10 games. If they only have enough money to play 6 games, how many ways can they play each of the 6 games once?
  
• J. Michael has a bag of 23 pieces of dried fruit. The bag contains l0 banana chips. What the probability that J. Michael will choose a banana chip when he reaches into the bag?
  
• How do you find the derivative of #(x^2-4)/(x-1)#?
  
• What happens to salt when it's put into a beaker of water?
  
• If a solution contains 3.458 moles of #CuCl_2# in 1.500 L, what is the solution's molarity?
  
• What is the mass in grams of 1.80 mol of calcium?
  
• How do you balance #Ag_2S -> Ag + S_8#?
  
• What is the nth term of the geometric sequence 2,10,50,250?
  
• 8 of the 40 newly built cars are selected at random to be checked for steering defects. Suppose 10 of the cars have such defects. What is the probability that all 8 of the selected cars have steering defect?
  
• A baseball diamond is a square with sides of 90 feet. What is the shortest distance, to the nearest tenth of a foot, between first base and third base?
  
• I have one hundred students and want to form classes of 25 students, how many different groups of students can i have?
  
• Question #747b6
  
• There is a population of 5 bacteria in a colony. If the number of bacteria doubles every 115 minutes, what will the population be 345 minutes from now?
  
• How many ways are there to choose a card from a deck of cards (52 cards in a deck) and roll a regular 6-sided number cube?
  
• Question #267fb
  
• How do you graph #y=cos(x°+45°)-1 #?
  
• How do you multiply #((12, 11))# with #((6), (13))#?
  
• If Debbie has 3 blouses and 4 skirts, how many different outfits of a blouse and skirt can she wear?
  
• The perimeter of a triangle is 18 feet. The second side is two feet longer than the first. The third side is two feet longer then the second. What are the lengths of the sides?
  
• Question #691b2
  
• How do you use the formula to solve these problems: Initial deposit of $1000, annual rate of 8.5% and final value is $1800?
  
• What is the height of a parallelogram with base 6.75 meters and an area of 218.7 square meters?
  
• In a survey of 375 dog and cat owners, there were 215 dog owners and 193 cat owners. How many in the survey own a dog and no cat?
  
• How do you convert #r^2=sin2(theta)# to rectangular form?
  
• Two corners of an isosceles triangle are at #(2 ,4 )# and #(3 ,8 )#. If the triangle's area is #18 #, what are the lengths of the triangle's sides?
  
• In how many different ways can 6 classes be scheduled during a 6-period day?
  
• Question #1c46e
  
• How do you evaluate #(6^1)^2#?
  
• What is the probability of rolling a number cube and it landing on a number less than 3?
  
• In how many different ways can you arrange the letters of the word TRIGONOMETRY?
  
• Two tetrahedral dice with faces marked 1,2,3 and 4 are thrown. The score obtained is the sum of the numbers on the bottom face. Tabulate the probability distribution for the score obtained,how?
  
• In how many ways can a committee of six be formed with two people from each country?
  
• How many ways can 5 people sit in row around a circular table?
  
• Circle A has a center at #(2 ,3 )# and a radius of #5 #. Circle B has a center at #(3 ,8 )# and a radius of #1 #. Do the circles overlap? If not what is the smallest distance between them?
  
• A triangle has corners at #(6, 4 )#, ( 2, -2)#, and #( 5, -8)#. If the triangle is reflected across the x-axis, what will its new centroid be?
  
• The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds. What is the minimum weight of the middle 95% of the players?
  
• A circle has a center at #(7 ,9 )# and passes through #(1 ,3 )#. What is the length of an arc covering #pi /4 # radians on the circle?
  
• The Board of Directors does not have assigned seats in the conference room. If there are 12 of them, seated at a round table, how many different seating arrangements are possible?
  
• You have a coin which is loaded so that the probability of tossing heads is .20. If you toss the coin three times, what is the probability that you will obtain three heads?
  
• How many seven-digit phone numbers can be formed if the first digit cannot be 0 and repetition of digits is not permitted?
  
• What are the mean and standard deviation of the probability density function given by #(p(x))/k=x^3-49x# for # x in [0,7]#, in terms of k, with k being a constant such that the cumulative density across the range of x is equal to 1?
  
• What is the area of a triangle with sides of length 4, 2, and 9?
  
• A random sample of 16 students showed an average age of 25 years and a standard deviation of 2 years. The 98% confidence interval for the true average age of students is what?
  
• How do you convert #4x^2y=1# into polar form?
  
• Question #253eb
  
• A triangle has sides with lengths: 6, 1, and 5. How do you find the area of the triangle using Heron's formula?
  
• Question #20bb0
  
• What are the mean and standard deviation of the probability density function given by #(p(x))/k=3x+1-e^(3x+1)# for # x in [0,1]#, in terms of k, with k being a constant such that the cumulative density across the range of x is equal to 1?
  
• What is the expected standard deviation of a single coin flip, where heads = 1 and tails = 0?
  
• A composition teacher needs to choose 10 students out of 15 to serve as rough draft reviewers. A group of 10 seniors, 3 juniors, and 2 sophomores have volunteered. How many different ways can the teacher choose 10 students?
  
• What is the sum of the arithmetic series 6 + 12 + 18 + ... + 60?
  
• What is the length of the hypotenuse of a right triangle if the two other sides are of lengths 15 and 11?
  
• The student council advisor needs to appoint two council members to be officers: one president and one vice-president. Student council consists of six members. How many possible ways are there for the advisor to fill the offices?
  
• Question #9e935
  
• What is the distance between #(-9 ,( - 3pi)/4 )# and #(-2 ,( 5 pi )/4 )#?
  
• How do you write this expression in the standard form a + bi given (1 - i)^5?
  
• Tommy is making a greeting card on his computer. He can choose 1 of 4 backgrounds, 1 of 7 photos, and 1 of 6 text colors. How many ways can Tommy make a greeting card?
  
• Graphing a complicated Sine and determining its parts?
  
• How do you solve #log x - log 3 = 2#?
  
• How do you find the derivative of #y = (ln 2)^x#?
  
• How do you simplify #i^247#?
  
• How do you solve #50=600e^(-0.4x)#?
  
• How do you find the period of #y = tan (x + pi/3)#?
  
• How do you find the standard form of #5x^2 + 8y^2 + 16y - 32 = 0# and what kind of a conic is it?
  
• How many arrangements are there of the letters in the word CURTAIN?
  
• The boy's volleyball team has 24 players. If the coach chooses 9 boys to play at a time,how many different teams can be formed?
  
• How do you solve #2e^(3x) = 4e^(5x)#?
  
• What are the components of the vector between the origin and the polar coordinate #(1, (-3pi)/4)#?
  
• If a current of #4 A# passing through a circuit generates #24 W# of power, what is the resistance of the circuit?
  
• How many permutations are there of the letter in the word baseball?
  
• Jeremy Lin can hit a free throw 81% of the time. Suppose that every free throw is an independent event. In a 10- free throw practice, what is the probability that Jeremy Lin will hit all 10 shots?
  
• If you roll a die six times, what is the probability that the number of even rolls is less than the number of rolls of 3 and 5 combined?
  
• How do you find the asymptotes for #f(x)= (2x)/(x^2+16)#?
  
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