Algebra
4x-7=13
solve for x
x=5
what is the sum of the interior angles of a triangle?
180
evaluate sin(pi/2)
1
what is the derivative of f(x)=x2
2x
what is the mean of 4,6, and 8?
6
factor
x2+7x+12
(x+3)(x+4)
find the area of a circle with radius 5
25pi
convert 150 degrees to radians
5pi/6
differentiate:
f(x)=3x3-4x+7
9x2-4
what is the probability of rolling a number greater than 4 on a fair six-sided die
1/3
solve
2x2-7x+3=0
x=3,1/2
a right triangle has legs 9 and 12. find its hypotenuse
15
solve sin(x)= 1/2
for 0 ≤x≤2pi
x= pi/6 or 5pi/6
find the equation of the tangent line to y=x2 at x=3
y=6x-9
how many different ways can 5 distinct books be arranged on a shelf?
120
if f(x)= x2-2x,
find f(a+1)
a2-1
find the equation of a circle centered at (2,-3) with radius 4
(x-2)2+(y+3)2=16
find the amplitude and period of y=3cos(2x)
amplitude=3
period= pi
if f(x)= sin(3x2+1)
find f'(x)
6xcos(3x2+1)
a bag contains 4 red and 6 blue marbles. two are drawn without replacement. what is the probability both are red?
2/15
solve:
log2(x+1)+log2(x+1)=3
x=2√2-1
a regular polygon has each interior angle equal to 150 degrees. how many sides does it have?
12 sides
if f(x)=x2 and g(x)=2x+1
find f(g(x))
4x2+4x+1
if y=x2e3x,
find y'
e3x(2x+3x2)
a test has 5 multiple choice questions, each with 4 choices and one correct answer. if a student guesses on all questions, what is the probability of getting all 5 correct?
1/1024