Answers edited by P dilip_k

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• Question #eaed5
  
• If a projectile is shot at an angle of `(2pi)/3` and at a velocity of `64 m/s`, when will it reach its maximum height?
  
• What is the the vertex of `y =3x^2+4x-18`?
  
• How do you find all sets of three consecutive even integers whose sum is between 25 and 45?
  
• What is the expected outcome from the electrophilic substitution of chlorobenzene with HNO3/H2SO4 and heat?
  
• What is alcohol that can be derived from an alkane containing two carbon atoms using the IUPAC system?
  
• How do you find the area of a parallelogram with vertices?
  
• How do you solve `x/7-14=-12`?
  
• Is the square root of 4 rational or irrational?
  
• What is the slope of any line perpendicular to the line passing through `(-12,21)` and `(-18,1)`?
  
• A triangle has sides A, B, and C. The angle between sides A and B is `(5pi)/12` and the angle between sides B and C is `pi/12`. If side B has a length of 4, what is the area of the triangle?
  
• Points `(2 ,9 )` and `(1 ,3 )` are `(3 pi)/4` radians apart on a circle. What is the shortest arc length between the points?
  
• How do you solve `(x – 5)^2 = 3`?
  
• A model train with a mass of `3 kg` is moving along a track at `12 (cm)/s`. If the curvature of the track changes from a radius of `4 cm` to `18 cm`, by how much must the centripetal force applied by the tracks change?
  
• How do you factor the expression `3z^2 - 13z - 30`?
  
• What is the Cartesian form of `(2,(pi)/4)`?
  
• A circle's center is at `(9 ,6 )` and it passes through `(6 ,2 )`. What is the length of an arc covering `(5 pi ) /6` radians on the circle?
  
• Question #a32cf
  
• How do you long divide `(4x^2 – 2x – 6) ÷ (x + 1)`?
  
• How do you long divide `(x^2+4x-39)/(x+8)`?
  
• What is `sqrt(7 + sqrt(7 - sqrt (7 + sqrt (7 - sqrt(7 + ...... ∞`?
  
• Cups A and B are cone shaped and have heights of `24 cm` and `23 cm` and openings with radii of `11 cm` and `9 cm`, respectively. If cup B is full and its contents are poured into cup A, will cup A overflow? If not how high will cup A be filled?
  
• Integrate `lnx/10^x`?
  
• How do solve the following linear system?: `2x +5y - 21 = 0 , 3x – 2y = 7`?
  
• What mass of water, `H_2O`, can be produced from 150 grams of ammonia, `NH_3`?
  
• What is the molar mass of sodium phosphate?
  
• How do you find an equation of the circle of radius 4 that is tangent to the x-axis and has its center on x-2y=2?
  
• Given `cos(2pi/5) = (sqrt(5)-1)/4`, what is cos(3pi/5)?
  
• How do you draw methyl ethyl amine?
  
• How do you evaluate `e^( ( pi)/12 i) - e^( ( 13 pi)/8 i)` using trigonometric functions?
  
• How do you evaluate `cos^-1(cos((7pi)/6))`?
  
• How do you divide `( -3x^3+ 9x^2-12x+4 )/(x + 1 )`?
  
• Question #ab45a
  
• How do you find the rectangular coordinate for [3, pi/2]?
  
• How do you solve `x^2 - 2x + 1 = 0` using the quadratic formula?
  
• Limiting reagent problem? For the reaction `C_2H_6+O_2 to CO_2+H_2O`
  
• A chord with a length of `12` runs from `pi/12` to `pi/6` radians on a circle. What is the area of the circle?
  
• What is the slope of the line passing through the following points: `(-2,-1) , (-1,4)`?
  
• What is the unit vector that is normal to the plane containing `(- 3 i + j -k)` and `(3i + 4j - k)`?
  
• A model train, with a mass of `4` `kg`, is moving on a circular track with a radius of `3` `m`. If the train's kinetic energy changes from `12` `J` to `48` `J`, by how much will the centripetal force applied by the tracks change by?
  
• What is `sqrt(7 + sqrt(7 - sqrt (7 + sqrt (7 - sqrt(7 + ...... ∞`?
  
• A superhero launches himself from the top of a building with a velocity of 7.3m/s at an angle of 25 above the horizontal. If the building is 17 m high, how far will he travel horizontally before reaching the ground? What is his final velocity?
  
• Points `(6 ,7 )` and `(5 ,5 )` are `(2 pi)/3` radians apart on a circle. What is the shortest arc length between the points?
  
• What does `arcsin(cos ((5pi)/6))` equal?
  
• Points `(3 ,2 )` and `(7 ,4 )` are `( pi)/3` radians apart on a circle. What is the shortest arc length between the points?
  
• How do you solve `4x² - 4x – 1 = 0`?
  
• How do you find the exact value of `arcsin [sin (-pi/10)]`?
  
• What is the acceleration of a car that travels in a straight line at a constant speed?
  
• Point A is at `(-2 ,-8 )` and point B is at `(-5 ,3 )`. Point A is rotated `(3pi)/2` clockwise about the origin. What are the new coordinates of point A and by how much has the distance between points A and B changed?
  
• How do you name aldehydes using IUPAC?
  
• How do you find `Sec^-1(sec((7pi)/6))`?
  
• What is the cross product of `[9,4,-1]` and `[4,3,6]`?
  
• How do you express `f(theta)=sin^2(theta)+3cot^2(theta)-3csc^2theta` in terms of non-exponential trigonometric functions?
  
• A compound is 54.53% C, 9.15% H, and 36.32% O by mass. What is its empirical formula?
  
• Question #3b5f1
  
• How do you find the equation of the line tangent to `f(x)= (sqrtx+1)`, at (0,1)?
  
• On average, how many `pi` bonds does `"O"_2^(+)` have?
  
• If a projectile is shot at an angle of `pi/4` and at a velocity of `15 m/s`, when will it reach its maximum height??
  
• An object, previously at rest, slides `5 m` down a ramp, with an incline of `(3pi)/8`, and then slides horizontally on the floor for another `12 m`. If the ramp and floor are made of the same material, what is the material's kinetic friction coefficient?
  
• Question #a3f18
  
• How do you simplify `sqrt(96/8)`?
  
• How do you convert `theta= pi/4` to rectangular form?
  
• A spring with a constant of `3 (kg)/s^2` is lying on the ground with one end attached to a wall. An object with a mass of `4 kg` and speed of `2 m/s` collides with and compresses the spring until it stops moving. How much will the spring compress?
  
• Integrate `lnx/10^x`?
  
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