Find the unknown sides of the right triangle (see illustration). Round your answer to the appropriate number of significant digits.
A. b = 269 km, c = 356 km
B. b = 153 km, c = 202 km
C. b = 202 km, c = 153 km
D. b = 240 km, c = 334 km
E. b = 308 km, c = 269 km
Answer: A
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Use the precise definition of a limit to prove the limit. Specify a relationship between ? and ? that guarantees the limit exists.
x4 = 16
A. ? = min
; Let ? > 0 and assume 0 < 
< ?. Then 
= 
= 
That is, for any ? > 0, 
= ? whenever 0 < 
< ?, provided 0 < ? ? 
. Therefore, 
x4 = 16.
B. ? = min
; Let ? > 0 and assume 0 < 
< ?. Then 
= 
= 
That is, for any ? > 0, 
= ? whenever 0 < 
< ?, provided 0 < ? ? 
. Therefore, 
x4 = 16.
C. ? = min 
; Let ? > 0 and assume 0 < 
< ?. Then 
= 
< 
That is, for any ? > 0, 
< ? whenever 0 < 
< ?, provided 0 < ? ? 
. Therefore, 
x4 = 16.
D. ? = min 
; Let ? > 0 and assume 0 < 
< ?. Then 
= 
< 
That is, for any ? > 0, 
< ? whenever 0 < 
< ?, provided 0 < ? ? 
.
Therefore, 
x4=16.
Solve the equation or inequality graphically. Express solutions or endpoints of intervals rounded to the nearest hundredth, if necessary.
+ 
= 24
A. {-6} B. {-6, 18} C. {6, 18} D. ?
Maria's employer of 19 years offers a pension plan that is the product of the three year average of her most current salaries, the number of years of service, and a 2% multiplier. Her last three salaries are: $63,500, $65,000, and $66,500. What is her annual pension benefit?
A. $23,940 B. $24,700 C. $65,000 D. $247,000
Estimate the sum or difference by first rounding to the nearest ten.6,537
A. 2,944 B. 2,950 C. 2,900 D. 2,940