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If #a#, #b#, #c# are in A.P.; #ap#, #bq#, #cr# are in G.P and #p#, #q#, #r# are in H.P., then prove that #(p/r)+(r/p)=(a/c)+(c/a)#?

Brent divided #3 1/5# by a number and got #4 1/2#. What number did he divide by?

Can every quadratic equation be solved by factorization or by splitting the middle term? When does one use quadratic formula?

How do you find all the real and complex roots of #12x²+8x15=0#?

How do you express #cos( (5 pi)/6 ) * cos (( 11 pi) /6 ) # without using products of trigonometric functions?

How do you use the rational roots theorem to find all possible zeros of #f(x) = x^4 24x^2 25#?

How do you subtract and simplify #2##11/12# # 3/16#?

How do you find the derivative of #2x(x^2+3)^2#?

Cups A and B are cone shaped and have heights of #32 cm# and #12 cm# and openings with radii of #5 cm# and #8 cm#, respectively. If cup B is full and its contents are poured into cup A, will cup A overflow? If not how high will cup A be filled?

How do you factor the expression #x^24x12#?

How do you find all values of x in the interval [0, 2pi] in the equation #2 + cos2x = 3cosx#?

How do you find the determinant of #((1, 7, 4, 5), (1, 5, 7, 4), (3, 21, 12, 15), (5, 25, 8, 0))#?

How do you solve #7^x = 30#?

How do you express #x+22 div x^2+2x8# in partial fractions?

If #vec A + vec B= vec C#, what is the magnitude of #vecC#, if #vecA# and #vecB# are unit vectors at right angle to each other?

How do you simplify #6lne#?

How do you find the derivative of #f(x)=(2x+6)/(3x^2+9)#?

A solid consists of a cone on top of a cylinder with a radius equal to that of the cone. The height of the cone is #12 # and the height of the cylinder is #28 #. If the volume of the solid is #72 pi#, what is the area of the base of the cylinder?

A parallelogram has sides with lengths of #18 # and #4 #. If the parallelogram's area is #36 #, what is the length of its longest diagonal?

What is the angle between #<3,2,0> # and #< 5,0,2 >#?

How do you find all the asymptotes for function #y=(3x^2+2x1)/(x^24 )#?

What is 3/4 as a decimal?

How do you solve #4x^2  x = 0# by completing the square?

How do you solve and graph #6[5y(3y1)]≥4(3y7)#?

How do you express .13 as a percentage?

How do you find the zeros, real and imaginary, of #y= x^222x+6 # using the quadratic formula?

How can GCF help when simplifying a fraction?

How do you find the vertical, horizontal or slant asymptotes for #(x^2 + 3) / (x^2  4)#?

Two rhombuses have sides with lengths of #16 #. If one rhombus has a corner with an angle of #pi/12 # and the other has a corner with an angle of #(5pi)/6 #, what is the difference between the areas of the rhombuses?

How do you find the derivative of #g(x) = sqrt(x^21)#?

What is the the vertex of #y=4x^2 + 9x + 15#?

How much work does it take to raise a #33 kg # weight #6 m #?

How do you solve #2cos^2x+sinx+1=0# over the interval 0 to 2pi?

How do you find the explicit formula for the following sequence 1, 1/2, 1/4, 1/8,...?

How do you differentiate #(2^x)x^2#?

How do you simplify #(16a^4)^(3/2)#?

How do you simplify #(5+ sqrt 5)/(8 sqrt 5)#?

What is #938.5:0.35#?

How do you plot rational numbers on a number line?

How do you find the asymptotes for #(x^3 + 1) / (x^2  2x + 2)#?

How do you solve #2x  5y = 12# and #x  3y = 3# using matrices?

What is the zscore of X, if n = 72, #mu= 137#, SD =25, and X =13?

How do you multiply # (9i)(73i) # in trigonometric form?

How do you rationalize the denominator and simplify #3/(6sqrt5)#?

How do you find the derivative of #F(x) = 1/(x5)#?

What is the distance between #(1,3,6)# and #(5,1,6)#?

The base of a triangular pyramid is a triangle with corners at #(2 ,2 )#, #(3 ,1 )#, and #(7 ,5 )#. If the pyramid has a height of #6 #, what is the pyramid's volume?

If #sinx=4/5# what is the value of #cosx#?

How do you find the intercepts and graph the equation by plotting points y= 2?

Simplify #(x^26x+5)/(x^210x+25)#?

An object with a mass of #2 kg# is revolving around a point at a distance of #7 m#. If the object is making revolutions at a frequency of #12 Hz#, what is the centripetal force acting on the object?

How do you rationalize the denominator and simplify #6/(sqrt4+sqrt5)#?

How do you evaluate #Sin((5pi)/12) cos(pi/4)  cos((5pi)/12) sin(pi/4)#?

How do you write the answer to #13/3 + 17/5# as a mixed number?

What is the equation of the parabola with a focus at (1,3) and a directrix of y= 2?

How do you express the Cartesian coordinates (0,  3) as polar coordinates?

How do you solve #cos(theta)= 0.6# over the interval 0 to 2pi?

What is #(5b(6))^2# when #b=0#?

How do you use the rational roots theorem to find all possible zeros of #f(x)=3x^52x^415x^3+10x^2+12x8 #?

It takes 42 cherries to make an cherry pie. If a chef bought 444 cherries, the last pie would need how many more cherries?

How do you solve #2x^2+3x3=0# using the quadratic formula?

How do you factor #64x^3+8=0#?

How do you solve #22 5(6v1) = 63#?

What are the components of the vector between the origin and the polar coordinate #(9, (11pi)/6)#?

What is #.75 * 5.5#?

How do you divide #{(17mn^3)/(m^2+2m35)}/{(34m^8n^4)/(m^2+7m)}#?

If #cot x=(2n^2+2mn)/(m^2+2mn)# then find #cscx#?

When both the current and voltage in a circuit are doubled, what happens to resistance and power?

What is #4 1/8  1 1/2#?

How do you rationalize the denominator and simplify #sqrt36/sqrt8#?

What is the divisibility rule for 11, 12, and 13?

A parallelogram has sides A, B, C, and D. Sides A and B have a length of #5 # and sides C and D have a length of # 3 #. If the angle between sides A and C is #pi/3 #, what is the area of the parallelogram?

What is the GCF of 36 and 60?

What does it mean when something is 4 or 5 light years away from us?

How much power is required to lift an object of weight #595# newtons by #3.15# meters in #15.2# seconds?

How can a number line help you measure objects?

Simplify the following?

How do you find the polar coordinate of (1,1)?

How do you convert 1000 mg to ml?

How do you factor #y=x^34x^217x+60#
?

How do you find the midpoint of (2,2) and (5,6)?

What are the extrema of #f(x)=4x^224x+1#?

Prove that #tanx/(1+secx)+(1+secx)/tanx=2secx#?

How do you factor the trinomial #3x^215x+16#?

How do you graph #x^2+y^2+2x+2y=23#?

What are the extrema of # f(x)=(x^2 9)^3 +10# on the interval [1,3]?

How do you solve #cos2x = sinx + cosx# on the interval [0,2pi]?

A person uses 870 kcal on a long walk. What is the energy used for the walk in joules?

How do you convert # (6,3)# into polar coordinates?

Alyssa and Benny were able to dig a garden in 2 hours together. It takes Benny 5 hours to ﬁnish this job alone. Without help, how long would it take Alyssa to ﬁnish this job?

How do you write the equation in point slope form given (–2, 15), (9, –18)?

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