Miscellaneous
Find the mean, median, and mode of this data set:
4, 4, 6, 8, 9
Mean - 6.2
Median - 6
Mode - 4
(x^4 + 2x^3 +x^2 - 4x+5)+(x^3-5x^2+3x-8)
x^4 + 3x^3 -4x^2 - x -3
Are the triangle similar? How?
Yes; by two sides proportional and angle between
Solve.
10x+23<=-13
x<=-3.6
Find the ratio of the volumes.
8/27
Give this number in ordinary notation:
2.35 x 102
235
(-2p +4q) - (p - 7q)
-3p + 11q
Find QR.
QR = 28
Solve by factoring:
3x^2-7x=0
x=0, x=7/3
Solve the system.
{(x+y=1),(2x+5y=-6):}
(-1/8,-9/8)
Describe the transformation
rotation 90o clockwise
reflection across the x-axis
(2x + 3y)(2x - 3y)
4x^2 - 9y^2
Find sin A, cos A, tan A.
sin A = m/p;cos A=q/p;tanA=m/q
Solve by factoring:
7x^2-78x+11=0
x=1/7, x=11
Find the radius of the circle. Use
pi~~22/7
r = 35
The volume of a square pyramid is 120 cm3 with altitude 5 cm. Find the area of the base and the length of the side of the base (to the nearest tenth).
Area of base - 72 cm2
side of base - 8.5 cm
Factor.
2x^2 - 4x - 48
2(x - 6)(x + 4)
Find angle p correct to one decimal place.
p = 29.1o
Solve the system of equations.
3x-4y=7
2x+y=12
(5,2)
Express x in terms of a, b, c, d, and e.
a(x-b)+c(x+d)=e
x=(e+ab-cd)/(a+c)
Find the surface area of a sphere of radius 4.6 cm. Use 3.14 for pi.
265.7696 cm3
(x^2-1)/((x-1)^2) xx (x^2-x-2)/(x^2-3x+2)
1
Are the triangles congruent? How?
Yes; by ASA.
Solve the system.
4x+5y=40
3x-2y=7
(5,4)
(6x^2-28x-10)/(6x^=24x-270
(3x+1)/(3(x+9)