Find the product using the formula for multiplying the sum and difference of two terms. Check the answer using the FOIL method.(12 + r)(12 - r)
A. 144 - 24r - r2
B. 144 - r2
C. 144 + 24r - r2
D. 24 - r2
Answer: B
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The parking accommodates 130,000 cars. What area does it occupy if one car occupies about 7 square meters?
a. 1 square mile b. 1 square kilometer c. 13,000,000,000 square feet d. 13,000,000 square kilometers
Evaluate the integral using the given substitution. dx , u = x5 - 5
A. (x5 - 5)4 + C
B. (x5 - 5)4 + C
C. (x5 - 5)2 + C
D. x20 - 5 + C
Determine whether the variation model is of the form or
and find k. Then write a model that relates y and x.
x
4
8
12
16
20
y
1
A.
B.
C.
D.
E.
Identify the quadric surface by name. Find and describe the xy-, xz-, and yz-traces, when they exist.-9x2 - 9y2 + z2 = 9
A. Hyperboloid of two sheets; xy-trace: -9x2 - 9y2 = 9 (circle); xz-trace: z2 - 9x2 = 9 (hyperbola); yz-trace: z2 - 9y2 = 9 (hyperbola) B. Ellipsoid; xy-trace: -9x2 - 9y2 = 9 (circle); xz-trace: z2 - 9x2 = 9 (ellipse); yz-trace: z2 - 9y2 = 9 (ellipse) C. Hyperboloid of two sheets; xz-trace: z2 - 9x2 = 9 (hyperbola); yz-trace: z2 - 9y2 = 9 (hyperbola) D. Hyperboloid of one sheet; xy-trace: -9x2 - 9y2 = 9 (circle); xz-trace: z2 - 9x2 = 9 (hyperbola); yz-trace: z2 - 9y2 = 9 (hyperbola)