Questions asked by Smartine201

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• If p and q are distinct real numbers that satisfy the equation 3y^2-11y-224=0, find the sum of p + q?
  
• The solutions of #y^2+by+c=0# are the reciprocals of the solutions of #x^2-7x+12=0#. Find the value of b + c?
  
• The solutions of #y^2+by+c=0# are the reciprocals of the solutions of #x^2-7x+12=0#. Find the value of b+c?
  
• What is the area of these two figures?
  
• If #x+1/x=sqrt5#, find the value of #x^2+1/x^2#?
  
• How many apples did he have when he began his deliveries?
  
• How do you find the specific heat of an unknown metal given the following information?
  
• 150mL of water at 25oC is mixed 325mL of 80oC water in a sealed vacuum insulated vessel. Determine the final temp of the combined 475mL of water. The density of water is 1g/mL. What's the final temperature??
  
• Water vapor condensation on the outside of a water bottle. Endothermic or exothermic and why?
  
• Sweat evaporates off your arm. Endothermic or exothermic and why?
  
• Calculate the change in enthalpy #( DeltaH)# for the chemical reaction modeled by this chemical equation: #H_2 + Cl_2 rarr 2HCl# Is energy entering or leaving the system? How do you know? What happens to the covalent bonds during this reaction?
  
• 68 mL of a 0.28 M CaCl2 solution is added to 92 mL of a 0.46 M CaCl2 solution. Determine the concentration of the combined solution. Show all work with units. How would you solve this?
  
• Calculate the number of moles of #Cl^(-)# ions in 1.75 L of #1.0 xx 10^-3# M #AlCl_3#. How would you solve this?
  
• How do you solve dilution problems in chemistry? For example: if 211 mL of water is added to 5.00 mL of 3.24 M NaCl solution, what is the concentration of the dilute solution? ____ M.
  
• In this reaction: #"HIn" (aq) rightleftharpoons "H"^(+)(aq) + "In"^(-)(aq)# What happens when these stressors are added? Does the stress add or remove products or reactants? What's the shift? Which ion is involved in the reaction?
  
• Le Chatelier's Principle: #N2 (g) + 3H2 (g) -> 2NH2 (g)# ?
  
• Write a simplified quartic equation with integer coefficients and positive leading coefficient as small as possible, whose single roots are -1/3 and 0 and house a double root at 0.4?
  
• One solution of #x^3+(2-i)x^2+(-4-3i)x+(1+i)=0# is #x=1+i#. Find the only positive real solution for #x#?
  
• #x-3, x-1, 3x-7# form a geometric sequence. What is the sum of all possible fourth terms of such a sequence?
  
• If #3+i# is a root of the equation #y=x^4-3x^3-36x^2+198x-280#, find the sum of the squares of the real roots?
  
• Write a simplified quartic equation with integer coefficients and positive leading coefficients as small as possible, whose single roots are #-1/3# and 0 and has a double root as 0.4?
  
• Given that #f(x)=x^3+4x^2+bx+c#. When *f* is divided by #(x-3)#, the remainder is 110. In addition, when *f* is divided by #(x+2)#, the remainder is 150. The sum of #b+c=?#
  
• Find the quotient of terms containing #x^28# and #x^-4# in the expansion of #(2x^6-3/x^2)^10#?
  
• What is the value of the constant k if the real solutions to the equation #x^4-kx^3+2kx^2+2x-20=0# are #x=2# and #x=-1#?
  
• Find the polynomial g(x) with integer coefficients of least degree (and positive leading coefficients as small as possible) for which 1-2i is a double root?
  
• Find all zeros: #f(x)=3x^7-32x^6+28x^5+591x^4-1181x^3-2810x^2+5550x-1125#?
  
• Factor completely (linear factors only): #f(x)=3x^4+10x^3+24x^2+22x+5#?
  
• A car accelerates from 31.0m/s to rest over a displacement of 130.0m. What is the car's acceleration, and how long did it take to stop?
  
• A car accelerates from #32.0m/s# to rest with an acceleration of #-3.20m/s^2#. What is the car's displacement from t=2 to t=3 seconds? What is the car's displacement from t=4 to t=5 seconds?
  
• A Metra train is at rest at the train station. You are running with a constant speed of #4.0m/s#. When you are 7.50m from the back end of the train, the train begins accelerating away from you at #0.12m/s^2#. Can you catch the train?
  
• Help! Find all zeros: #f(x)=3x^7-32x^6+28x^5+591x^4-1181x^3-2810x^2+5550x-1125#?
  
• Solve for x: #1+1/(1+(1/(1+1/x))##=4#?
  
• If #a/(x-2)+b/(x+3)=(2x+11)/(x^2+x-6)# then (a,b) = ?
  
• Help! The slant asymptote of #f(x)=(6x^3-5x^2+3x)/(3x^2-x-14)# intersects f where x=?
  
• If #a/(x-2)+b/(x+3)=(2x+11)/(x^2+x-6)#, then (a,b) = ?
  
• Solve for #x#: #2x-1=(6x^3-5x^2+3x)/(3x^2-x-14)#?
  
• The graph #y=(x^2+5x+7)/(x+2)# is shown below. Find the value of the product #abcd#?
  
• Two wheels of radii 2 and 6 are mutually tangent. A belt is wrapped tightly around them. What is the total length of the belt?
  
• B is 34 mm from the center of circle O, which has a radius of 16 mm. Line BP and line BR are tangent segments. Line AC is tangent to circle O at point Q. Find the perimeter of ABC?
  
• On the moon, the acceleration due to gravity is only 1.6m/s/s downward. If someone on earth can throw a baseball 24.2 m high, how high could she throw it on the moon?
  
• Free falling acceleration problem?
  
• If #(x^2-5x-6)/(x^3+ax^2+bx+c# simplifies to #1/(x+2)#, then a + b + c = ?
  
• Find all real solutions for the following equation: #2x-3sqrt(x)=20# ?
  
• Given the equation #x/y+5x=6+1/y#, where x can be any real number except 1 or 6/5. If y is solved in terms of x, the result is y=?
  
• #(x^2-5x-6)/(x^3+ax^2+bx+c)# simplifies to #1/(x-2)#, then a+b+c = ?
  
• List all x-value(s) of ordered pairs of the form (x,1) that are on the rational function #f(x)=(6-2x)/((x-3)(x+5))#?
  
• Solve for the following equation in the interval [0, 2#pi#): #3cos^2theta + sin^2theta =2#?
  
• Find the minimum value of #f(x)=(x^2+1/x)/(x^2-(1-1/x^2)/(1/x+1/x^2)# over the interval #1 le x le 2#. Write answer as *exact* decimal?
  
• Solve for *b* if #1-b/(4+isqrt3)+b/(4-isqrt3)=0#?
  
• Point P(-10,14) is a point external to a circle. Points A(5,6), B(x,y), C(1,4) are on the circle. Line PC is tangent to circle and P, A, and B are collinear, with B between P and A. Find the coordinates of point B. Give your answers two decimal places?
  
• A circle has its center at (2,2) and is tangent to both the x-axis and y-axis. A line tangent to this circle intersects the x-axis at (a,0) and the y-axis at (0,b). If the shaded area is equal to the area of the circle, then a + b = ? (EXACT ANSWER).
  
• Find the minimum value of #f(x)=(x^2+1/x)/(x^2-(1-1/x^2)/(1/x+1/x^2)# over the interval #1lexle2#. Write your answer as an exact decimal?
  
• Equilateral triangle ABC has side length of 1, and squares ABDE, BCHI, CAFG lie outside the triangle. What is the area of hexagon DEFGHI?
  
• Projectile launcher problem?
  
• A 12,500 kg railroad car is rolling along a level track with a speed of 4.5m/s when it collides with a second stationary railroad car with a mass of 24,700 kg. The two cars lock together after the collision. Help? Questions in details
  
• An average force of 280 N acts for 1.2 seconds on a 78 kg circus performer as he is shot out of a cannon. (a) What impulse is applied to the performer? (b) What is the speed of the performer as he leaves the cannon?
  
• A handball of mass 45 grams strikes a hard wall perpendicularly with an initial speed of 46m/s. The handball is in contact with the wall for 0.078 seconds, and then rebounds straight back with a speed of 39m/s. What average force was applied to the ball?
  
• A 45kg boy is holding a 12kg pumpkin while standing on ice skates on a smooth frozen pond. The boy tosses the pumpkin with a horizontal speed of 2.8m/s to a 37kg girl (also wearing ice skates) catches it. What are the final speeds of the boy and girl?
  
• A 45kg boy is holding a 12kg pumpkin while standing on ice skates on a smooth frozen pond. The boy tosses the pumpkin with a horizontal speed of 2.8m/s to a 37kg girl (also wearing ice skates) catches it. What are the final speeds of the boy and girl?
  
• A blue rubber ball rolls along a smooth level surface at 15m/s due east. Headed due west is a red rubber ball of same mass as the blue one but moving at 22m/s. Immediately after this head-on collision, the blue ball is headed west at 21m/s. Qs below...?
  
• 2 charges, #q_A# and #q_B# are separated by distance, r, and exert a force, F, on each other. What new force will exist if: a) #q_A# is doubled? b) #q_A# and #q_B# are cut in half? c) r is a 1/3 of its normal value? d) r is cut in half, #q_A# is doubled?