Answers edited by MattyMatty

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• A ball is thrown vertically downwards from a height of 20 m with a initial velocity v0. It colloids with the ground, loses 50 % of its energy in collision and rebounds to the same height. The initial velocity v0 is .....??? Please explain it briefly.
  
• Question #6d6d5
  
• How do you factorize #20p + 15pq - 60q^2-80q# completely?
  
• Show that the solutions for #1 + z^4 + z^3 + 2 z^2 =0# obey the condition #absz = 1# ?
  
• A biology quiz consists of 14 multiple-choice questions. Nine must be answered correctly to receive a passing grade. If each question has 4 possible answers,what is the probability that a student who guesses at random will pass?
  
• If we want to approximate the value of #cos 20°# with a polynomial, what minimum degree must be the polynomial so that the error is less than #10^-3#?
  
• Why #lim_(x->oo) (sqrt(4x^2+x-1)-sqrt(x^2-7x+3)) = lim_(x->oo) (3x^2+8x-4)/(2x+...+x+...)=oo#?
  
• Is the series #\sum_(n=0)^\infty1/((2n+1)!)# absolutely convergent, conditionally convergent or divergent?
  
• How do you factor #x^4+2x^3y-3x^2y^2-4xy^3-y^4#?
  
• A pharmaceutical company claims that a new drug is successful in relieving arthritic pain in 70% of patients. Suppose that the claim is correct. The drug is given to 10 patients. What is the probability that 8 or more patients experience pain relief?
  
• What is DeMoivre's theorem?
  
• Find # int \ 1/(x^2 + x + 1) \ dx #?
  
• Question #738f7
  
• 10^m-10^n is always a factor of 9 if m and n are positive integers?
  
• The probability of A hitting a target is #2/3# and that of B is #4/5#. They both fire at the target. What is the probability that at best one of them hits the target? What is the probability that only one of them will hit the target?
  
• How do you solve a quadratic equation without using a formula?
  
• Question #8e98f
  
• A catcher catches a baseball that is traveling 126km/h. If the ball stops within 0.230s, what is its acceleration?
  
• How do you solve #81^x = 243^x + 2#?
  
• Question #d8659
  
• What is golden ratio?
  
• How to use DeMoivre's Theorem to find the indicated power of (sqrt 3 - i)^6 ?
  
• How to solve $$\int x^{4} (x^2+x+1)^{1/2}dx $$ ?
  
• What is 0.5! And how do you find it (can it be found without calculus)?
  
• Question #c5675
  
• If #x^2 + x +1=0# find the value of #(x+1/x)^3 + (x^2+1/x^2)^3...(x^100+1/x^100)^3#?
  
• Question #12ac2
  
• What is the general solution of the differential equation # y'''-y''+44y'-4=0 #?
  
• A stone is dropped out of a balloon which is descending at #14.7 ms^-1# when the balloon is at an altitude of #49 m#. How long before the stone hits the ground?
  
• Question #2cb93
  
• Could you show me some bijection between the #mathbb{R}-mathbb{Q}# and #mathbb{R}#?
  
• What is the empirical probability of flipping 4 coins and getting 4 tails?
  
• How do you factor #3x ^ { 5} + 9x ^ { 4} - 6x# completely?
  
• How to find the inverse function for a quadratic equation?
  
• How do I solve this limit ?
  
• How does the air resistance affects the graph of a free falling body?
  
• In how many ways can the digits in the number 6759957 be arranged?
  
• How to find the probability for this question? (see details below)
  
• What is the interval of convergence of #sum_{n=0}^{oo}[log_2(\frac{x+1}{x-2})]^n#? And what's the sum in #x=3#?
  
• A ball is dropped from a height of 100 m at t = 0. Later, at t = 1.00 s, a second ball is thrown downward with a speed of 19.8 m/s. At what time will the two balls be at the same height?
  
• Question #96660
  
• Particle travels 10m in 5sec and 10m in 3sec assuming constant acceleration what is the distance travelled in next 2sec? Ans:8.3m
  
• How to show #f(x)=|x|# It is differentiable everywhere except at the point x = 0 ?
  
• How do you factor 2x³−3x²−4x-4?
  
• Is the series indicated absolutely convergent, conditionally convergent, or divergent? #rarr\4-1+1/4-1/16+1/64...#
  
• #2x^3+4x^2-13x+6# Can you factorise this please?
  
• How are vapour pressure and boiling point inversely related?
  
• How can i calculate the odds of a current passing in an electrical circuit in regards to a certain switch?
  
• Question #7ec9a
  
• Given #a > 0, b > 0, c > 0# calculate the minimum for #(a^x+b^x+c^x)/3# ?
  
• Polynomials??
  
• A stone is dropped from a helicopter hovering at a constant height of 490m. How long before the stone reaches the ground?
  
• There are 5 blue crayons, 7 yellow crayons, and 8 red crayons. in a box. If one is randomly drawn and replaced 15 times, find the probability of drawing exactly four blue crayons?
  
• Question #5ac9e
  
• What is the probability that the deal of a five-card hand provides a pair of aces?
  
• A boy has 20% chance of hitting at a target. Let p denote the probability of hitting the target for the first time at the nth trial. lf p satisfies the inequality 625p^2 - 175p + 12 <0 then value of n is?
  
• A secretary introduces 9 letters in 9 envelopes. Let X be the random variable representing the number of letters that entered the correct envelope. How you find #E(X)# and #var(X)#?
  
• A fair coin is tossed 60 times. Using the normal approximation to the binomial distribution, what is the probability that a head will show between 30 and 36 times inclusive?
  
• How to solve that??#int_2^8|5-x|dx=?#
  
• If you roll a single die, what is the expected number of rolls necessary to roll every number once?
  
• For the experiment of tossing a six sided die twice, what is the probability that the sum is odd or prime?
  
• How do you solve #z^4+z^2+1 = 0# ?
  
• What happens here?
  
• How do you find the limit (X-> 0) ? thank you
  
• A body of mass M is falling from a very high building. The drag force is given by F=kv^2 where k is a constant and v its velocity. How soon will it reach terminal velocity and what will the distance traversed be equal to?
  
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