Find a positive angle less than 360 that is coterminal with the given angle: -33
What is 327
100
What are the solutions to 2x^2-2x=0
What is 0,1
100
Evaluate the expression lne^5
What is 5
200
√(242x^19 y^32 )
What is 11x^9 y^16 √x
200
(18x^2+39x+20)/(18x^2+9x-20)
What is (6x+5)/(6x-5)
200
Convert the angle in radians to degrees, and convert the angle in degrees to radians: -36 degrees, π/3
What is -π/5, 60 degrees
200
Factor the trinomial, or state that the trinomial is prime: x^2+2x-63
What is (x-7)(x+9)
200
Express the logarithm in terms of common logarithms. Then approximate its value to four decimal places: Log 3 12
What is 2.2619
300
7√5-5√125
What is -18√5
300
〖3p〗^4/(5q^5 〖(r-5)〗^2 )×(〖41q〗^2 (r-5))/(51p^3 )
What is 41p/(85q^3 〖(r-5)〗^2 )
300
Determine the phase shift y = -4 sin(2x - π/2)
What is π/2 units to the left
300
Factor the trinomial, or state that the trinomial is prime:15x^2+29x+12
What is (3x +4)(5x + 3)
300
Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. log 5 (7*11)
What is log 5 (7) + log 5 (8)
400
(11+√6)(10-√5)
What is 110-11√15+10√6-√90
400
(5(a^2+5a+6))/(3(a^2-49))÷(61(a+3))/(30(a+7))
What is (50(a+2))/(61(a-7))
400
A kite at a height of 75 meters from the ground is attached to a string inclined at 60degrees to the horizontal. Find the length of the string to the nearest meter.
What is 87 m
400
Solve the equation by the quadratic formula: x^2+12x+61
What is -6+5i, -6-5i
400
Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible evaluate, logarithmic expressions: 3log b (t) - log b (s)
What is log b (t^3/s)
500
√(96x^3 )/√6x
What is 4x
500
1/(4x^2-25)+6/(2x+5)
What is (12x-29)/((2x+5)(2x-5))
500
A radio transmission tower is 130 ft tall. How long should a guy wire be if it is to be attached 7 feet from the top and is to make an angle of 25 degrees with the ground. Give your answer the the nearest tenth of a foot.
What is 291.0 feet
500
Solve the equation by completing the square: x^2+10x+6=0
What is x = 5+√6,5-√6
500
Solve the equation 8 + 4lnx = 10. Round your answer to the nearest thousandth.