Tell whether permutations or combinations are being described.3 cards are selected from a deck of 52 to form a hand for a certain card game.
A. Permutations
B. Combinations
Answer: B
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Use a trigonometric substitution to evaluate the integral.
A. sin-1
+ C
B. tan-1 + C
C. tan-1
+ C
D. ln
+ C
Find the tax. Use $3700 for each personal exemption; a standard deduction of $5800 for single people, $11,600 for married people filing jointly, $5800 for married people filing separately, and $8500 for head of a household; and the tax rate schedule. Glenn and Natalie Dowling had combined wages and salaries of $69,992, other income of $5234, dividend income of $322, and interest income of $667. They have adjustments to income of $2411. Their itemized deductions are $8441 in mortgage interest, $1617 in state income tax, $852 in real estate taxes, and $1181 in charitable contributions. The Dowlings filed a joint return and claimed six exemptions.
A. $5076.95 B. $5150.60 C. $7328.25 D. $6890.60
Simplify the rational expression. If the rational expression cannot be simplified, so state.
A. x2 + x + 6 B. x2 - 6 C. x2 + 6 D. x + 6
Translate to a proportion and solve. Round to the nearest hundredth, if necessary.6572 is what percent of 3100?
A. 2.12% B. 21.2% C. 47% D. 212%