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If p and q are distinct real numbers that satisfy the equation 3y^211y224=0, find the sum of p + q?

The solutions of #y^2+by+c=0# are the reciprocals of the solutions of #x^27x+12=0#. Find the value of b + c?

The solutions of #y^2+by+c=0# are the reciprocals of the solutions of #x^27x+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+(2i)x^2+(43i)x+(1+i)=0# is #x=1+i#. Find the only positive real solution for #x#?

#x3, x1, 3x7# 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^43x^336x^2+198x280#, 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 #(x3)#, 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^63/x^2)^10#?

What is the value of the constant k if the real solutions to the equation #x^4kx^3+2kx^2+2x20=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 12i is a double root?

Find all zeros: #f(x)=3x^732x^6+28x^5+591x^41181x^32810x^2+5550x1125#?

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^732x^6+28x^5+591x^41181x^32810x^2+5550x1125#?

Solve for x: #1+1/(1+(1/(1+1/x))##=4#?

If #a/(x2)+b/(x+3)=(2x+11)/(x^2+x6)# then (a,b) = ?

Help! The slant asymptote of #f(x)=(6x^35x^2+3x)/(3x^2x14)# intersects f where x=?

If #a/(x2)+b/(x+3)=(2x+11)/(x^2+x6)#, then (a,b) = ?

Solve for #x#: #2x1=(6x^35x^2+3x)/(3x^2x14)#?

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^25x6)/(x^3+ax^2+bx+c# simplifies to #1/(x+2)#, then a + b + c = ?

Find all real solutions for the following equation: #2x3sqrt(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^25x6)/(x^3+ax^2+bx+c)# simplifies to #1/(x2)#, then a+b+c = ?

List all xvalue(s) of ordered pairs of the form (x,1) that are on the rational function #f(x)=(62x)/((x3)(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(11/x^2)/(1/x+1/x^2)# over the interval #1 le x le 2#. Write answer as *exact* decimal?

Solve for *b* if #1b/(4+isqrt3)+b/(4isqrt3)=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 xaxis and yaxis. A line tangent to this circle intersects the xaxis at (a,0) and the yaxis 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(11/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 headon 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?