Two buckets are used to fill a large bathtub with water. Bucket A is larger, and by itself it can fill the bathtub in 20 minutes. Bucket B is smaller, and by itself it can fill the bathtub in 50 minutes...

Two buckets are used to fill a large bathtub with water. Bucket A is larger, and by itself it can fill the bathtub in 20 minutes. Bucket B is smaller, and by itself it can fill the bathtub in 50 minutes...

A soccer ball is kicked with some initial velocity v at some angle θ such that its path in the air follows the equation y=1.0+1.73x-1.225x^2 where (x,y)...

Find roots of the function f(x)=112x^2-5x+1 -1 Express answer in exact form.

What is the perimeter of a rectangular heptagon inscribed in a circle of radius 7? Round answer to 2 decimal places.

Find the two standard angles between 0° and 360° whose tangent value is 10. Round answer to 1 decimal place.

Find two standard angles between 0° and 360° whose cosine value is -0.7. Round answer to 1 decimal place.

Derive an expression for the sum of the reciprocals of two consecutive odd integers 2m-1 and 2m+1.

The perimeter of a triangle is 10 (that is, a+x+(x+1)=10). Use this and the cosine law to solve for x. Round answers to 2 decimal places. Triangle: <BAC: 60degrees line...

For what value(s) of k does the system of equations y=x^2-3x+5 y=kx have only 1 solution? Leave answers in exact form.

Find the length of the part of the line y=x+6 'inside' (or above) the curve y=x^2. Leave answer in exact form.

The equation of a circle of radius r with its center at the point (h,k) is given by (x-h)^2+(y-k)^2=r^2 Find coordinates of intersections of the following functions &n...

y1=x- x^3/6 + x^5/120 y2=x^2

y=a(x-h)^2+k are (2,0), (-4,0), (0,16). Solve for a, h, and k. Present answer in form y=a(x-h)^2+k.

cot (x-(pi/2)= -tanx

Use the matrix capabilities of a graphing utility to write the augmented matrix corresponding to the system of equations in reduced row-echelon form. Then solve the system. (If there is no solution,...

7 sin 2 x- 14 sin x + 2 = -5

for example (120x+22)/3=(300x+25)/6 (120x+22)/3*6/(300x+25) (120x+22)*2/(300x+25) (240x+44)/(300x+25) now (300x+25)this term goes other side (240x+44)=(300x+25) ...

1.) a flagpole casts a 24 foot long shadown when the sun is at an angle of elevation of 65 degrees. how tall is the pole? 2.) a painter needs to reach high up the side of a house to finish...

1.) a flagpole casts a 24 foot long shadown when the sun is at an angle of elevation of 65 degrees. how tall is the pole? 2.) a painter needs to reach high up the side of a house to finish...

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