Perform the desired operation. Write the answer in the form a + bi.(3 + 9i)2
A. -72 + 54i
B. 90 + 54i
C. 9 + 54i + 81i2
D. -72
Answer: A
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Solve the problem.A fractal is formed in the following way:Start with an equilateral triangle. Place the triangle so that one side is horizontal and so that the triangle is "pointing upward". Divide the triangle into 9 smaller equilateral triangles of equal size and remove the three triangles which are "pointing downward". Repeat this process at each stage.Find the scale factor which is equal to the ratio 
Find the ratio 
for the fractalThe dimension of the fractal is between what two numbers?Use your calculator to approximate the dimension d to three decimal places. Remember
that (scale factor)d = 
.
What will be an ideal response?
The amount of time t (in minutes) a shopper spends browsing in the magazine section of a supermarket is a continuous random variable with probability density function
?
?
How much time is a shopper chosen at random expected to spend in the magazine section?
What will be an ideal response?
Add or subtract. Assume all variables represent positive real numbers.
- 2
+ 7
A. 21x
B. 21x
C. 5x
D. 5x
Mark as true any statement that is always true. Mark as false any statement that is never true or that is not necessarily true. Be able to justify your answers.
1. If a right triangle has one leg that is 2 cm long and another leg that is 3 cm long, the area of the triangle is 3 cm2 2. All rectangles with the same perimeter have the same area. 3. All parallelograms with the same area have the same perimeter. 4. The perimeter of a 3" by 1" rectangle is 8 sq.in. 5. The area of a right triangle with legs a and b is one-half the area of a rectangle with dimensions a and b.