Group MCB3; home work for MS25 due on 03-26-2016
P1
Solve following equations using quadratic formula
1) x2 + 2*(1 + √8)* x + 8*√2 = 0
2) x2 - 3*x - 5 - √7 = 0
3) x2 + 4*x
- √3 + 1 = 0
G1*
Based on the value of the discriminant find the set of the solutions for the
inequality below.
x2 - 5*x
+ 7 < 0
A1
The length of the radius of a circle is one-half of the length of an arc of the circle.
How large is the central angle that intercepts that arc?
A2
T1
Legs of a right triangle are 6 and 8. An altitude from the vertex of right angle to
the hypotenuse divides the triangle into two smaller right triangles. Find area of
each of the smaller triangles.
If 0 < α <
T2
Compute
T3
Compute
If 0 < α < π/2;
Compute
T4
π/2 and sin(α) = x, then compute cos (π - α)
and sin (α) = B, then
sin (5*π + α)
T5
cos (π/2 - α)
T6
cos (π + α)
Q1
If 10 is the average of 10 different whole numbers, then what is the greatest that any
one of the numbers could be?
Q2
To what % of 4.5*√125 is 0.9 % of 125*√5 equal?
Q3.
To print out 340 pages they use two copy machines. First one worked for 10 min.
Second one worked 15 min. How many pages per minute each of these machines prints
out, if the first machine produces 4 pages more per minute than the second?
Q4.
In Lehman Brothers Bank Office Leah in average processes 2 more customers per hour
than Leon. While Leah worked 10 hours and Leon worked 20 hours, together they
processed 320 customers. What is Leon’s speed in customers / hour?
Q5
The tip of a wheel is 1.5 feet from the axis of rotation. If the wheel spins at a full rate of
1,760 revolutions per minute, how many miles will a point at the outer edge of the
wheel travel in one hour? (1 mile = 5,280 feet)
Q6
A business is owned by 3 men and 1 woman, each of whom has an equal share. If one of the
men has decided to sell ½ of his share to the woman, and another of the men keeps 2/3 of his
share and sells the rest to the woman, what fraction of the business will the woman own?
A)
5 / 24
B)
11 / 24
C)
1/2
D)
13 /24
E)
11 / 16
Q8
Pat has s grams of strawberries and uses 40 percent of the strawberries to make pies, each of
which requires p grams. The rest of the strawberries are used to make pints of jam, each of
which requires j grams. Which of the following gives the number of pints of jam Pat can make?
A)
B)
C)
D)
E)
2s / (5p)
2s / (5j)
3s / (5j)
3p / (5s)
3sj / 5