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题目： If $$9^{2x+5} = 27^{3x-10}$$, then x =

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题目： For all integers n, the function f is defined by $${f}({n})={a}^{n}$$, where a is a constant. What is the value of $$f (1)$$?(1)$$f (2) = 100$$(2)$$f (3) = -1,000$$

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题目： Set Q consists of the following five numbers: Q = {5, 8, 13, 21, 34}. Which of the following sets has the same standard deviation as Set Q?I. {35, 38, 43, 51, 64}II. {10, 16, 26, 42, 68}III. {46, 59, 67, 72, 75}

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题目： In a certain game, you perform three tasks. You flip a quarter, and success would be heads. You roll a single die, and success would be a six. You pick a card from a full playing-card deck, and success would be picking a spades card. If exactly one of these three tasks is successful, then you win the game. What is the probability of winning the game?

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题目： If x and y are positive odd integers, then which of the following must also be an odd integer?I. $$x^{y+1}$$II. x(y+1)III. $$(y+1)^{x-1} + 1$$

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题目： $$10^{x} + 10^{y} + 10^{z} = n$$, where x, y, and z are positive integers. Which of the following could be the total number of zeroes, to the left of the decimal point, contained in n? I. x + yII. y – zIII. z

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题目： For how many unique coordinate points (P, Q), such that P and Q are integers, is it true that $$P^{2} - Q^{2} =$$ 1155?

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题目： If x is an odd negative integer and y is an even integer, which of the following statements must be true?I. (3x - 2y) is oddII. $$xy^{2}$$ is an even negative integerIII. $$(y^{2} - x)$$ is an odd negative integer

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题目： Given that the length of each side of a quadrilateral is a distinct integer and that the longest side is not greater than 7, how many different possible combinations of side lengths are there?

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题目： How many positive integers less than 10,000 are such that the product of their digits is 210?

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题目： For which real numbers x is the expression $${1}\over{(x-2)(x+1)}$$ not defined?

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题目： Division R of Company Q has 1,000 employees. What is the average (arithmetic mean) annual salary of the employees at Company Q?(1)The average annual salary of the employees in Division R is $30,000.(2)The average annual salary of the employees at Company Q who are not in Division R is $35,000.

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题目： A salesperson received a 6-percent commission on the amount of total sales up to and including $10,000, and an r-percent commission on the amount of total sales over $10,000. If the salesperson received a total commission of $920 on total sales of $14,000, what was the value of r?

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题目： For each of the following issues, select Can Infer Disagreement if, based on the information provided, it can be inferred that the programming company and the online video websites would hold opposing positions on the issue. Otherwise, select Cannot Infer Disagreement.

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题目： Advice from a computer security expert, on passwords used for accessing online accounts:Computer users should use a different password for each online account. They should also use strong passwords, which are hard for hackers to decipher. However, strong passwords are difficult to remember, and this is especially the case for users who have multiple online accounts.Fortunately, software is available for little or no cost that can store and encrypt a user's passwords: the user need only remember one password to access the rest. For users willing to take the time to install the software on a computer and enter all the required data, such software provides one way to comply with security expert's advice. Some versions of the software can even be copied to a portable device, such as USB drive, whereby a user can access passwords from any compatible computer.For a computer user with multiple accounts who would not otherwise use a different strong password on every account, the expert's advice amounts to suggesting that users make certain sacrifices in order to make certain gains. Indicate by appropriate selections in the first and second column which of the items in the third column would describe a sacrifice for this user and which would be a gain. Make only two selections, one in each column.