Answers created by Shwetank Mauria

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• One water pipe fills a swimming bath in #x# hours. A second pipe takes #3# hours longer to fill the bath. The two pipes together fill the bath in two hours. How long will it take each pipe to fill the swimming bath separately?
  
• How do you simplify: #(sqrt2+ 2sqrt2 +sqrt8) /sqrt3#?
  
• How do you expand #log (6/5)^6#?
  
• If a,b,c are in A.P then find a^2(b+c) , b^2(c+a) , c^2(a+b) are in A.P ?
  
• How do you solve #log_x 81=4#?
  
• To convert from feet to​ inches, multiply by 12. For​ example, the number of inches in 2 feet is 12x2 inches. If one board has a length of (x+3) feet and a second board has a length of (7x-1) inches, express their total length in inches as an expression?
  
• What is the vertex of #y= 3x^2 - 4x - 12#?
  
• How would you solve: sin^2(pi/5)-cos^2(pi/5)? (show steps) Thanks
  
• How do you factor by grouping #3x^2 - 17x + 10#?
  
• How do you write 12 million in scientific notation?
  
• I want to know how to compare in root. Express large and small. # A = 3^(1/3), B = 4^(1/4), C = 6^(1/6)# ?
  
• Electron,proton, neutron and alpha particle have same momentum which particle has more kinetic energy?
  
• How do you solve #log_2 (x+1) = 0#?
  
• Work done is zero if an object moves with constant velocity? right?
  
• Can someone solve this? IGCSE MATH, SEQUENCES QUESTION Book answer= (n-8)
  
• How do I find the polar form of #3sqrt2 - 3sqrt2i#?
  
• What is the value of #sin37°34'# to four decimal places?
  
• How do you solve # log_3(47) = log_8(x)#?
  
• What is the standard form of the equation of the parabola with a directrix at x=-3 and a focus at (1,-1)?
  
• How do you graph linear programming problems?
  
• If you wanted to mix pure methane with water and end up with 100 gallons of 90% methane, how many gallons of each should you use?
  
• How do you graph and find the x-intercept and y-intercept for the linear equation x+3=0?
  
• What is the equation of the line between #(-20,2)# and #(-3,8)#?
  
• A rectangular prism has dimension of .5 feet, 4 inches, and 2 inches. How much volume does the digital camera occupy, in inches?
  
• What is the area of a triangle with sides of length 2, 4, and 5?
  
• How many countries have successfully put people on the moon?
  
• Thorsten the geologist is in the desert, 10 km from a long, straight road. On the road, Thorsten's jeep can do 50kph, but in the desert sands, it can manage only 30kph. How many minutes will it take Thorsten to drive through the desert? (See details).
  
• Saturn has about 95 times the mass of the Earth. Would you expect the force of gravity on Saturn to be greater or less than on Earth? Why?
  
• Paint is Red: Blue in a ratio 3:4. If 6 litres of blue is used, how much red?
  
• if sin =-2/5 and tan <0 find the exact value of the other trigonometric functions ?
  
• What is the standard form of the equation of the parabola with a focus at (6,5) and a directrix of #y= -1#?
  
• How do you solve #y=x^2 # and #y= 0.5x + 5# using substitution?
  
• Ann took a taxi home from the airport. The taxi fare was $2.10 per mile, and she gave the driver a tip of $5. Ann paid a total of $49.10?
  
• How do you write a polynomial function in standard form with zeros at -6, 2, and 5?
  
• If the radius of the orbit is half then the numbdr of days in 1 year will be?
  
• What is the standard form of the equation of a circle with centre (3,-1) and which touches the y-axis?
  
• Find the value of {sqrt(i) + sqrt(-i)} ?
  
• A rectangle has a perimeter of 50 cm. If the ratio of its length to its width is 3:2, find the length of the rectangle?
  
• How do you find the domain and range of #f(x) = ln(-x + 5) + 8#?
  
• If #a# and #b# are integers with #a > b#, what is the smallest possible positive value of #\frac{a+b}{a-b} + \frac{a-b}{a+b}#?
  
• How do you graph #y<=(x+1)^3#?
  
• The number of numbers that are divisible by 9 between 1,1000 is?
  
• What is the range of the function #f(x)= abs(x-1) + x-1#?
  
• What is net force in static equilibrium?
  
• What is the relationship between time and temperature.as the body cooling down then time is?
  
• (0.2,0) is one and I need to find the other using this equation y=5x^2+4x-1?
  
• Solve the following equation?
  
• How do you convert 25 degrees into radians?
  
• Uthu had some $10 notes and some $2 notes in the ratio of 7:3. He exchanged 6 of his $10 notes into $2 notes. In the end he had the same number of $10 notes and $2 notes. How much money did he have at first?
  
• How do you find two geometric means between 7 and 875 ?
  
• Alexander reads #1/8# of a book each night. How long will it take him to read #3/4 # of the book?
  
• What is the Cartesian form of #( -2, (-7pi)/8 ) #?
  
• Claribel has a $500 bond with a 4% coupon. Claribel purchased this bond for $525. What is the yield of this new bond?
  
• A line segment has endpoints at (-1,4) and (4, 1). Which reflection will produce an image with endpoints at (-4, 1) and (-1, -4)?
  
• In the diagram below, a series of waves are moving along a string. What is the wavelength (options below)?
  
• The length of a rectangle is 3 more than twice its width. If the perimeter of the rectangle can be no more than 78 ft, what are all of the possible widths of the rectangle?
  
• How much is 5% of 6.5 hours?
  
• Why is it that you divide the angle value in the trig function by #2pi# to get the period?
  
• What is your annual percentage yield if you get a rate of 8% compounded weekly?
  
• What is 25 mi/hr converted to m/min?
  
• How do you find the range of a function equations? I am so confused.
  
• In 1981​, the cost of tuition at a certain private high school was​ $4790. By 1995​, it had risen approximately 78​%. What was the approximate cost in 1995​?
  
• What do phenomenologists study?
  
• Why are reciprocals useful when dividing rational expressions?
  
• How can i increased the power of a battery i.e if the battery is of 9 volt then how can i make it of 50 volt( without changing it ) ? is there any method or device?
  
• #"cosec"((nπ)/2+(-1)^n π/6)# is equal to? where #n in ZZ#
  
• To drive from New York City, NY, to Los Angeles, CA, you must drive about 2,779 miles. |f you drive 60 miies per hour without stopping, about how many hours do you have to drive?
  
• How do you prove that #Cosx(Tanx+Cotx) = cscx#?
  
• Find exact value of the expression? sin[tan^-1(2)]
  
• Afruit punch recipe calls for 3 parts of apple juice to 4 parts of cranberry juice. How many liters of cranberry juice should be added to 4.5 L of apple juice?
  
• How do you simplify #(4/9)^-2#?
  
• What is the speed of an object that travels from #( 8 , -3, 6 ) # to #( -8 , -4 ,1 ) # over #2 s#?
  
• How do you combine #3+sqrt3+sqrt5#?
  
• What is the equation for the data? And how did you get it?
  
• How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent #-3x=5-y# and #2y=6x+10#?
  
• Suppose you purchase a $500 bond with a 6.5% coupon. What is the periodic interest rate of this bond?
  
• How does Russell determine the birthdays by examining the numbers? (info in description)
  
• How do you differentiate f(x) = sin(x²)?
  
• What are the absolute extrema of #f(x)=(x+1)(x-8)^2+9 in[0,16]#?
  
• How do I express 0.6969... in the form of p/q where p and q are integers?
  
• How do you solve for #log_4 x = -2#?
  
• How do use the discriminant test to determine whether the graph #x^2+5xy+1-y^2-16=0# whether the graph is parabola, ellipse, or hyperbola?
  
• What is the common ratio for 100 -80 64 -51.2?
  
• Square root of 0.04?
  
• How do you solve x-2y=-25 and 3x-y=0?
  
• Between which two consecutive integers is 80 to the negative square root?
  
• How do you solve the following system: #2x-4y=6 , 3x - 3y = 2 #?
  
• How do you find the inverse of #f(x) =10^x# and is it a function?
  
• A car goes from 10 to 20 m/s in 4 seconds. How far has it moved in that time?
  
• How do you graph the equation by plotting points #y=x^2-9#?
  
• You are in Vancouver, Canada. Your boss is in New Delhi, India. She wants you to call on Tuesday at 5:00 p.m. New Delhi time. What day and time do you call?
  
• Simone borrowed $13500 from the bank to purchase a used car. If the interest rate on this 72-month loan is 5.9%, how much will Simone pay in total back to the bank?
  
• Prove using the first principal that #d/dx (sqrtcosx) = -sinx/ (2(sqrtcosx)# ?
  
• Find the radius of curvature at x = pi/2 on the curve y = sin x?
  
• How do you prove this equality #sqrt(3+sqrt(3)+(10+6sqrt(3))^(2/3))=sqrt(3)+1# ?
  
• How do you calculate the gradient of tangent to xy=4 and x^2=16y?
  
• How do you evaluate #sin (arcsin (12/3) + Arcsin (4/5))#?
  
• Why do some people on Socratic answer their own question?
  
• Find the standard form of the equation of the ellipse with the given characteristics?
  
• Find the standard form of the equation of the ellipse with the given characteristics?
  
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