Solving Equations
6(x+x^0-1)=2(-x+8)
x=2
(a^-3+n^-2)/(a^2n^-3)
(n^3+a^3n)/a^5
Do not use a calculator. Find:
f(x)=6sinx, f(315)
-3(2)^(1/2)
5x^(4n+2)+15x^(2n+1)
5x^(2n+1)(x^(2n+1)+3)
Three times the complement of angle A is 60 degrees less than the supplement of angle A. Find the measure of angle A.
75
Use the Quadratic Formula to solve:
4x^2=2x-3
x=1/4(+/-)(11^(1/2)/4i)
(2i^3+3-2i)/(3-i)
13/10-9/10i
Teddy watched a spider crawl through an arc of 54 on a disc of radius 10. How far did the spider crawl? Give approx. answer.
9.42 in
Simplify by factoring the numerator:
(y^(4m)-x^(4n))/(y^(2m)-x^(2n))
y^(2m)+x^(2n)
Jonathan saved nickels and quarters. He had a total of twenty coins whos value was $1.80. How many of each kind of coin did he have?
Q = 4, N = 16
Solve for g:
a=n((br)/g-d/p)
g=(brnp)/(ap+nd)
(4x^4y^2)^(-2)((4x^2y)/(xy^2))^2
1/(x^6y^6)
Find the sum of the measures of the interior angles and the sum of the measures of the exterior angles of a regular dodecagon (12-sided figure)
Exterior = 360
Interior = 1800
24x^3y^9-81a^6b^15
3(2xy^3-3a^2b^5)(4x^2y^6+6xy^3a^2b^5+9a^4b^10)
Write the Contrapositive: If an object is round, then it is a ball.
If an object is not a ball, then it is not round.
Solve:
x^2+y^2=18
y-x=4
(-2+(5)^(1/2), 2+5^(1/2)), (-2-5^(1/2), 2-(5)^(1/2))
(3i^2-2i^3+i^4)/(2+2i+(-36)^(1/2)
3/17+5/17i
A kite is flying at the end of a straight string that has a length of 200 feet. The string makes an angle of 60 degrees with the ground. How high above the ground is the kite?
173.21 ft
72x^3z^12-9y^9
9(2xz^4-y^3)(4x^2z^8+2xy^3z^4+y^6)
Find three consecutive positive integers such that the product of the first and the second is 37 less than the square of the third.
11, 12, 13
Solve for x:
log_30 (3x+9)-log_30 3 = log_30 12
x = 9
m/(m/(m/y+x)+m
(m+xy)/(y+m+xy)
A sphere has a volume of 288 pi cubic feet. Find the surface area of the sphere.
144 pi feet square
Factor:
10x^(5n+3)-25x^(7n+5)
5x^(5n+3)(2-5x^(2n+2))
The cruise ship traveled n miles per hour for t hours and was 30 miles short of the harbor when the horn was sounded. If the captain tried again, how long would it take to reach the harbor if she increased the rate of travel by 15 mph?
(nt+30)/(n+15