Mixture 1
A rectangular prism is made of stainless steel.
* The prism measures 15 cm long, 10 cm wide and 2 cm high.
* The density of stainless steel is 7.9 g/cm3
What is the mass, in grams, of the prism?
2370 g
A cylindrical container with radius 12 cm and height 7 cm. What is the volume? (Round to nearest tenth)
3166.7 cm3
Divide (6x3 - 11x2 - 47x - 20) by (2x + 1)
3x2 -7x - 20
A business purchases a computer for $2000. The value of the computer depreciates 4% per year. What is the value after 8 years?
$1442.78
Approximately what is the smallest real zero of
f(x)=x3 - 5x2 + 2x + 6
(round to the hundredth)
-0.86
Using Desmos, graph
y = 3 sin(x) -5
A) What is the period?
B) What is the amplitude (a)
A) 2pi
B) 3
Wichita, Kansas has 344,234 people within 165.9 sq. miles. What is Wichita's population density (people per square mile)
2075 ppl/sq.mile
factor 8x3 - 729
(2x - 9)(4x2 + 18x + 81)
The graph of the function f(x) = x3 is shifted down 7 units and to the right 4. What is the equation?
f(x) = (x - 4)3 -7
What is the approximate length of the arc subtended by an angle of 4(pi)/3 radians on a circle with a radius of 6 meters (round to the hundredths)
25.13 meters
Given the functions
f(x) = 4x + 9
g(x) = -2x - 4
Evaluate (f + g)(-3)
-1
What is the cross section formed by a plane that intersects three faces of a cube?
Triangle
Find the area of a rectangle if the length is 2 more than 5 times the width.
5x2 + 2 x
find the distance between ( 5,2) and (-2,3)
Leave your answer as a radical
5 times the square root of 2
You purchase a stereo system for $830. The value of the stereo system decreases 13% each year. What is the value of the system after 3 years?
$546.56
Tiffany is a member of the chess club. She won 75% of her first 32 games this year. How many games in a row does she need to win to have a winning percent of exactly 80%?
8
What is the quadrilateral formed by the angle bisectors of a parallelogram?
a)square
b)rectangle
c)circle
d)rhombus
rectangle
Divide x4 - 5x2 + 4x + 12 by (x + 2)
x3 - 2x2 - x + 6
Write an equation, center and radius of the circle
x2 + y2 + 10x - 16y - 161 = 0
(x + 5)2 + (y - 8)2 = 250
center (-5, 8) r= 5 sq root 10
Working together, Paul and Daniel can pick 40 bushels of apples in 4.95 hours. Working alone, it would take Daniel 9 hours. How long would it take Paul working alone?
11 hours
Which circle has the smallest area?
A) x2 + y2 = 12
B) (x - 2)2 + y2 = 8
C) (x + 1)2 + (y+3)2 = 6
D) (x + 8)2 + (y - 9)2 = 3
D). (x + 8)2 + (y - 9)2 = 3
What is the volume of a cone with a diameter of 12 ft and a height of 11 ft? (Round to the hundredths)
414.69 ft3
When you divide P(x)=x3 +4x2 - 2x + k by (x - 3), the remainder is -2. What is the remainder when you divide P(x) by (x + 2)
-47
Solve:
.5 | 2x - 6 | + 2 = 0
no solution
What is the inverse of the function
f(x) = x - 9
f-1(x) = x + 9