Answers created by Miguel F.

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• Question #40068
  
• Question #765eb
  
• What is the equation of the line perpendicular to `y=-(2x)/5-12` at `x=-1`?
  
• A model train with a mass of `1 kg` is moving along a track at `6 (cm)/s`. If the curvature of the track changes from a radius of `8 cm` to `9 cm`, by how much must the centripetal force applied by the tracks change?
  
• How do you solve `Csc^2(a/2)=2 Sec(a)`?
  
• A `7 L` container holds `21` mol and `12` mol of gasses A and B, respectively. Groups of three of molecules of gas B bind to five molecules of gas A and the reaction changes the temperature from `350^oK` to `420^oK`. How much does the pressure change?
  
• How do you find the domain of f+g given f(x)=3x + 4 and g(x) = 5/(4-x)?
  
• How do you determine if the equation `y = -5(1/3) ^ -x` represents exponential growth or decay?
  
• A triangle has sides A, B, and C. Sides A and B have lengths of 6 and 4, respectively. The angle between A and C is `(7pi)/24` and the angle between B and C is `(13pi)/24`. What is the area of the triangle?
  
• Question #84561
  
• What is the cross product of `<-3 ,-6 ,-3 >` and `<0 ,1 , -7 >`?
  
• Question #9c132
  
• The width of a rectangle is 3 inches less than its length. The area of the rectangle is 340 square inches. What are the length and width of the rectangle?
  
• If y varies inversely as the square of x and y = 8 when x = 2, then what is the value of y when x = -1?
  
• Question #cd6d2
  
• When is an aqueous solution basic? What pH?
  
• Question #d475f
  
• Question #85f29
  
• Question #e4230
  
• What is the axis of symmetry and vertex for the graph `y = -x^2 +4x + 3`?
  
• An object with a mass of `7 kg` is on a surface with a kinetic friction coefficient of `8`. How much force is necessary to accelerate the object horizontally at `4 m/s^2`?
  
• How do you evaluate `e^( ( 13 pi)/12 i) - e^( ( 13 pi)/2 i)` using trigonometric functions?
  
• How are atoms and molecules different?
  
• Question #5235c
  
• Question #85cd9
  
• What is the distance between `(3, –1, 1)` and `(–4, 0, 2)`?
  
• Question #95d67
  
• What is the equation of the parabola that has a vertex at `(-4, 16)` and passes through point `(0,0)`?
  
• Question #a01c7
  
• The velocity of an object with a mass of `3 kg` is given by `v(t)= - t^2 +4 t`. What is the impulse applied to the object at `t= 5`?
  
• What is the vertex form of `y=4x-x^2`?
  
• How fast will an object with a mass of `24 kg` accelerate if a force `33 N` is constantly applied to it?
  
• A triangle has sides A, B, and C. Sides A and B are of lengths `7` and `6`, respectively, and the angle between A and B is `(5pi)/8`. What is the length of side C?
  
• Question #31c98
  
• What is the period of `f(t)=sin( ( 5 t ) /3 )`?
  
• Given `a+3/4b=2` and `b+3/4a=6`. How do you find `b/a`?
  
• Jack and Jill are driving down a concrete road in a car on a dry day. The car's weight including Jack and Jill is 10,000 N. What is the frictional force between the rubber tire and concrete road?
  
• How do you divide `( 8i+2) / (-i +2)` in trigonometric form?
  
• Two charges of `2 C` and `3 C` are positioned on a line at points `-5` and `6`, respectively. What is the net force on a charge of `-8 C` at `-2`?
  
• How do you factor the trinomial `14x^2+23xy+3y^2`?
  
• An object with a mass of `5 kg` is on a surface with a kinetic friction coefficient of `4`. How much force is necessary to accelerate the object horizontally at `32 m/s^2`?
  
• A projectile is shot at an angle of `pi/12` and a velocity of `85 m/s`. How far away will the projectile land?
  
• How can physics help us understand what are the basic building blocks of matter?
  
• What are pendulums used for today?
  
• Why are gears simple machines?
  
• How do adaptive optics work?
  
• In a binary star system, a small white dwarf orbits a companion with a period of 52 years at a distance of 20 A.U. What is the mass of the white dwarf assuming the companion star has mass of 1.5 solar masses? Many thanks if anyone can help!?
  
• What are some examples of the study of motion?
  
• Question #e36fe