Answers created by Sihan Tawsik

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• How do you write the answer `3/16 times 4/9` in simplest form?
  
• The gas inside of a container exerts `18 Pa` of pressure and is at a temperature of `350K`. If the temperature of the gas changes to `240K` with no change in the container's volume, what is the new pressure of the gas?
  
• How do you solve `ln(x-7)=2`?
  
• A person is walking west along a sidewalk. What are the object and force pairs in this situation?
  
• A ball with a mass of `2 kg` moving at `16 m/s` hits a still ball with a mass of `21 kg`. If the first ball stops moving, how fast is the second ball moving? How much kinetic energy was lost as heat in the collision?
  
• 1Knot=3 Vines and 2 Shings=4 Knots, How many Shings are in 9 Vines?
  
• How do you solve `-2x + 19< 17`?
  
• A `4.7x 10` ohm resistor has a current of `1.27 x 10^-1` amp flowing in it. What is the potential difference across the resistor?
  
• Circle A has a center at `(3 ,7 )` and an area of `56 pi`. Circle B has a center at `(9 ,6 )` and an area of `28 pi`. Do the circles overlap?
  
• How do you solve `3 ln (e^2 / 2)`?
  
• A charge of `1 C` is at `(-7, 1 )` and a charge of `-3 C` is at `(3, 5 )`. If both coordinates are in meters, what is the force between the charges?
  
• What is the standard form of `y= (5x-2)(x^2-3)`?
  
• How do you solve the following system: `7x - y = 10 , 5x-9y=-23`?
  
• How do you solve `19 - 13z = 9 - 12z`?
  
• How do you use Heron's formula to determine the area of a triangle with sides of that are 8, 5, and 10 units in length?
  
• How do you find the derivative of `sqrt(8x+1)`?
  
• A pinball bangs against a bumper, giving the ball a speed of 52 cm/s. If the ball has a mass of 50.0 g, what is the ball's kinetic energy in joules?
  
• Does a low pKa mean the acid the strong?
  
• If an object with uniform acceleration (or deceleration) has a speed of `3 m/s` at `t=0` and moves a total of 24 m by `t=5`, what was the object's rate of acceleration?
  
• What is the Cartesian form of `( 2 , ( - 15pi)/4 )`?
  
• How do you write `4,000,000,000,000` in scientific notation?
  
• A projectile is shot at an angle of `pi/6` and a velocity of `18 m/s`. How far away will the projectile land?
  
• An object with a mass of `160 g` is dropped into `880 mL` of water at `0^@C`. If the object cools by `120 ^@C` and the water warms by `5 ^@C`, what is the specific heat of the material that the object is made of?
  
• What is `(-pi)/3` radians in degrees?
  
• How do you simplify `sqrt 500`?
  
• How do solve the following linear system?: `x+2y=1 , 6x=29-8y`?
  
• How do you expand `(3a-b)^4` using Pascal’s Triangle?
  
• How many moles are in a sample of `CO_2` that contains `8.12*10^22` of `O` atoms?
  
• A circle's center is at `(1 ,5 )` and it passes through `(2 ,3 )`. What is the length of an arc covering `(pi ) /3` radians on the circle?
  
• The density of mercury metal is 13.6 g/mL. What is the mass 45 mL of the metal?
  
• In which quadrant does the graph of the sum of (3 - 5i) and (2 + 4i) lie?
  
• Consider the following vectors: v = 4i, w = j, how do you find the dot product v·w?
  
• The sides of a triangle are in the ratio 4 : 5 : 6. What is the length of each side if the perimeter is 45 cm?
  
• What is the gravitational potential energy of a `62 kg` object on a shelf `5/3 m` high?
  
• What is the energy of an emitted flame with a wavelength of `6.5 * 10^-20` m?
  
• How do you convert `y=(x-y)^2-xy` into a polar equation?
  
• Circle A has a center at `(1 ,7 )` and a radius of `3`. Circle B has a center at `(-3 ,-2 )` and a radius of `2`. Do the circles overlap? If not, what is the smallest distance between them?
  
• What is the polar form of `(-1,18)`?
  
• How do you solve `cosx(3sinx - 5) = 0`?
  
• How many moles of `Al` are needed to react completely with 1.2 mol `FeO` in the reaction `2Al + 3FeO -> 3Fe + Al_2O_3`?
  
• How do you find all the real and complex roots of `18x²+3x-1=0`?
  
• What is the conjugate of the complex number 5+2i?
  
• What is the force on an object that has a mass of `12` `kg` and an acceleration of `4` `m``/``s^2`?
  
• How do you use Heron's formula to find the area of a triangle with sides of lengths `3`, `2`, and `4`?
  
• What is `log 100 + log 10`?
  
• If I wanted to find the interior angle sum of a polygon with 102 sides, what would it be?
  
• What is the second derivative of `f(x)= sec x`?
  
• What is the polar form of `( 10,12 )`?
  
• How do you express `sin theta - cot^2 theta + tan^2 theta` in terms of `cos theta`?
  
• How do you differentiate `f(x)=tan(e^(x^2))` using the chain rule?
  
• What is the domain and range of {(-2, 1), (-1, -2), (0, -3), (1, -2), (3, 6)}?
  
• Question #f486d
  
• A circle's center is at `(1 ,5 )` and it passes through `(4 ,8 )`. What is the length of an arc covering `(pi ) /3` radians on the circle?
  
• How do you solve `2+2x=19+2x`?
  
• A balanced lever has two weights on it, the first with mass `3 kg` and the second with mass `4 kg`. If the first weight is `3 m` from the fulcrum, how far is the second weight from the fulcrum?
  
• A `850` `kg` racing car moves at an acceleration of `7` `m``/``s^2`. What net force is needed to move the racing car?
  
• What is the derivative of `(x+1)^x`?
  
• What is the volume of 2.0 moles of an ideal gas at 290 K and 2.8 atm?
  
• How do you solve `3x+2y= -19` & `x-12y=19`?
  
• How do you simplify `(9 times 10^7)(7 times 10^9)` and write the answer in scientific notation?
  
• What is the force, in terms of Coulomb's constant, between two electrical charges of `-7 C` and `4 C` that are `3 m` apart?
  
• What is the area of a parallelogram with base `15` yards and height `21 2/3` yards?
  
• What is the distance between `(4 ,( - 3pi)/4 )` and `(2 ,( 3 pi )/4 )`?
  
• What is the length of segment with endpoints `(2,-1)` and `(4, 5)`?
  
• What is `int xsin3x`?
  
• What is the slope of `6y=-8y-14x+13`?
  
• Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?
  
• What is the second derivative of `f(x)=(x^2-x^3)^(1/3)`?
  
• How is ethyl alcohol oxidized to acetic acid?
  
• How do you implicitly differentiate `x^4-3/y^2-y=8`?
  
• How do you differentiate `y = 2 / [3sqrt(x^2 - 5x)]`?
  
• What is `int 1 / csc xdx`?
  
• What is the distance between `(–4, 0, 2)` and `(0, 4, –2)`?
  
• How do you differentiate `y=-5^(4x^3)`?
  
• What is the equation of the line perpendicular to `y=-7/15` that passes through `(-25,5)`?
  
• How do you simplify `Log 5 = 2 - Log x`?
  
• How do you solve `8=log_2 x`?
  
• How much work would it take to push a `6 kg` weight up a `3 m` plane that is at an incline of `pi / 12`?
  
• A triangle has angle measures of 82°, 34°, and `x°`. What is `x`?
  
• How do you find the derivative of `f(t)= (t^4 +4t^2 -2)^(4/7)` using the chain rule?
  
• How do you convert `(8.3, 4.2)` into polar forms?
  
• What is the derivative of `f(x)= 2^(3x)`?
  
• What is the derivative of `(x^2)(e^(4x))`?
  
• How do you graph `r^2= 16cos2θ`?
  
• Question #69caa
  
• Question #e5881
  
• How do you solve `log (6x+2) - log (3x-6) = log 6 - log 2`?
  
• An object with a mass of `7 kg` is traveling in a circular path of a radius of `9 m`. If the object's angular velocity changes from `5 Hz` to `1 Hz` in `8 s`, what torque was applied to the object?
  
• What is the force, in terms of Coulomb's constant, between two electrical charges of `-8 C` and `-6 C` that are `3 m` apart?
  
• An object with a mass of `24 kg` is on a ramp at an incline of `pi/12`. If the object is being pushed up the ramp with a force of `4 N`, what is the minimum coefficient of static friction needed for the object to remain put?
  
• What is the slope of the line passing through `(3,7) ; (6,-1)`?
  
• How do you divide `(3i)/(1+i) + 2/(2+3i)`?
  
• What is the integral of `int f(x)=e^(3x)` from 0 to 2?
  
• How do you graph `x=5-y`?
  
• How do you simplify `5/6 times (3/4 - 1/3)`?
  
• 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 48, what is the area of the triangle?
  
• How do you divide `( 8i+2) / (-i +5)` in trigonometric form?
  
• How do you find the slope of a line passing through the points G(-5,3) and H(10,-6)?
  
• How do you balance `Ni + C_4H_8N_2O_2 -> Ni(C_4H_8N_2O_2)_2`?
  
• What is the derivative of `tan^ -1(3x^2)`?
  
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