Answers edited by NJ

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• One-seventh of a number is 3. What is the number?
  
• How do you differentiate `f(x)=(e^x+x)(x^2-3)` using the product rule?
  
• A clean nickel surface (work function 5.1eV), is exposed to light of wavelength 206nm. What is the maximum speed of the photoelectrons emitted from this surface?
  
• Which measurement is the greatest between 6 km, 60 m, 600 cm, and 6,000 mm?
  
• State the number of possible triangles that can be formed using the given measurements? C= 52°, b= 31km, c= 30km
  
• How do you solve `-7/(x+5)<=-8/(x+6)`?
  
• Let f(x)=(x-6)(4x+2) find an equation for the tangent line to the graph of x=12?
  
• I only want answer for (iii) part. In book it's given 4.5 cm/`"s"^2`. Is this correct? If not, please give solution. Thanks!
  
• A bag of ballast is accidentally dropped from a balloon which is stationary at an altitude of 4900m. How long does it take for the bag to hit the ground?
  
• 1. Show that (x) = Asin(kx) satisfies the time-independent Schrödinger equation when E and V are independent of x?
  
• A spring with a constant of `12 (kg)/s^2` is lying on the ground with one end attached to a wall. An object with a mass of `6 kg` and speed of `3 m/s` collides with and compresses the spring until it stops moving. How much will the spring compress?
  
• How do you solve `-6= - 8- 3n - 4`?
  
• How do you write 1.2 as a percent?
  
• How do you simplify 6 sin(t) + 7 tan(t)/tan(t)?
  
• How many stars and galaxies are there?
  
• How do you solve `4x^2+3=8x`?
  
• How do you differentiate `f(x)=e^sqrt(lnsqrtx)` using the chain rule.?
  
• One year ago, Clare was 4 feet 6 inches tall. Now Clare is 4 feet 10 inches tall. By what percentage did Clare’s height increase in the last year?
  
• What are the components of the vector between the origin and the polar coordinate `(5, pi)`?
  
• Sketch the graph of f(x)=3^x and describe the end behavior of the graph?
  
• Tickets for the homecoming dance cost $20 for a single ticket or $35 for a couple. Ticket sales totaled $2280, and 128 people attended. How many tickets of each type were sold?
  
• How do you simplify `8( m - 5) + 6m`?
  
• What is the factors for `x^2-x-20`?
  
• How do you solve the inequality `y + 1 >4y + 4`?
  
• What is the relationship between R-Squared and the correlation coefficient of a model?
  
• How to find the probability that the sample mean computed from a 25 measurements will exceed the sample mean computed from the 36 measurement by at least 3.4 but less than 5.9.?

  
• How do you divide `(3x^3 + 17x^2 + 15x + 2)` by `x+5`?
  
• Let `f(x) = x^2 - 16` how do you find `f^-1(x)`?
  
• What volume of 0.125 M KMnO4 is required to yield 0.180 mol Of potassium permanganate KMnO4?
  
• How do you simplify `3sqrt8`?
  
• If moment of inertia of a point particle at a distance r from an axis would have been defined as I=mr,then what will be the M.I of an uniform rod of mass M and length L about an axis passing through its centre and perpendicular to the rod?
  
• How do you solve `-2t ( t + 2) = - 3`?
  
• Nathan cut an isosceles triangle from felt to make a spirit banner. Two sides of his banner had the following measures : 15 inches and 7 inches. Which could be the measure of the third side of Nathan’s banner ? A. 20 b. 15 c. 10 d. 7
  
• Reflection of light?
  
• What would happen if you brought a piece of the center of the sun the size of a basketball back to earth? What would happen to the living things around it, and if you dropped it, would it burn through the ground into the earth?
  
• How do you factor `3v ^ { 2} + 12v - 63`?
  
• How do you differentiate `g(x) = cos(5x) (x^2-4)` using the product rule?
  
• Marcelo and Jesus are playing tug of war. Marcelo is pulling left one end of a rope with 10 N of force. Jesus is pulling the rope in the opposite direction with 12 N of force. Who is pulling the rope harder and by how many more Newtons of force?
  
• What is the limit of this ? `lim_(x->0) (e^x - e^-x -2x)/(x-sinx)`
  
• What is a quotient of 2 numbers?
  
• Am I wrong about this?
  
• How can you solve `cos^2(3x)=1` ?
  
• The zeros in: `(x^3)+(2x^2)-5x-6=0` ?
  
• Why is an electric force conservative?
  
• A rectangular lot has to be fenced with chicken wire. the chicken wire needed is 96cm. what is the dimension of the lot if the length is twice its width? Hint:(P=21+2w)
  
• Solve `cos^4x-1=0` for all values of x?
  
• How do you solve `2/x=7/9`?
  
• What is ABCD?
  
• Two pellets, each with a charge of 0.70 microcoulomb (7.0×10^-7 C ), are located 4.0 cm (4.0×10^-2 m ) apart. Find the electric force between them.What would be the mass of an object that would experience this same force in Earth's gravitational field?
  
• How so I write an expression to represent twice the difference between a number and 9 ?
  
• How do you find the slope given `5y - 2x = -3`?
  
• How do you simplify this expression `4c^4sqrt(64c^9 x^6)`?
  
• How do you find the slope of a line (1,2) (3,5)?
  
• If you're 2 AU from earth, how many minutes will it take for sunlight to reach you?
  
• How do you graph the line `y=-5x+2`?
  
• Differentiate #y=sqrt(x^2)+sqrt(4x)-sqrt3 ?
  
• What is the antiderivative of `(x+1)(2x-1)`?
  
• How can a boomerang return?
  
• Question #5471f
  
• What is the integral of `(ln(xe^x))/x`?
  
• A. At what point in it's motion is the kinetic energy of the end of a pendulum greatest? b. At what point is the potential energy of a pendulum greatest?
  
• How do you determine if `f(x)= x^4 - 4x^2` is an even or odd function?
  
• How much simple interest will you pay on a 90 day loan of $625 at 15%?
  
• What is the slope of the line that contains the points (0,-4) (-2,8)?
  
• How do you simplify `8( m - 5) + 6m`?
  
• Ralph bought some magazines at $4 each and some dvds at $12 each. He spent $144 and bought a total of 20 items. How many magazines and how many movies did he buy?
  
• What is the derivative of the following function? f(x)=ln(sqrt(x^sin(x)))
  
• How do you solve `j/4 - 8 < 4`?
  
• Find the value of x for which ABCD is a parallelogram?
  
• How do you simplify `2(3-4) + 6` using PEMDAS?
  
• Question #ec0dd
  
• ∫e^x^2 dx=?
  
• A ball with a mass of `4 kg` and velocity of `3 m/s` collides with a second ball with a mass of `5 kg` and velocity of `- 2 m/s`. If `20%` of the kinetic energy is lost, what are the final velocities of the balls?
  
• From a laboratory on Earth, you observe a spacecraft traveling horizontally at a speed of 0.580 𝑐. You measure it to have a horizontal length of 5.80 𝑚 and a vertical height of 1.20 𝑚. What will be its length and height if it comes to rest in the lab?
  
• What is the slope of the line through (−10,1) and (0,−4)?
  
• How to solve this ??
  
• How do you solve for y `5x+6y-12=0`?
  
• A uniform rectangular trapdoor of mass `m=4.0kg` is hinged at one end. It is held open, making an angle `theta=60^@` to the horizontal, with a force magnitude `F` at the open end acting perpendicular to the trapdoor. Find the force on the trapdoor?
  
• How do you simplify the expression `(5ab^2 * 12ab)/(6ab)`?
  
• How do you get rid of the square root sign in `\sqrt { 147m ^ { 3} n ^ { 3} }`?
  
• Drawing the reference triangles for trig and inverse trig functions?
  
• A person standing at the top of a hemispherical rock of radius R kicks a ball (initially at rest on the top of the rock) to give it horizontal velocity `v_i`. What must be its minimum initial speed if the ball is never to hit the rock after it is kicked?
  
• What is `f(x) = int e^(3x)-e^(2x)+xdx` if `f(0)=-2`?
  
• What is the slope of the line through ( − 9 , 6 ) and ( − 6 , − 9 )?
  
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