7. Mario has P18,000 in his bank account. He withdraw consecutively P7,300 and P2,300. After two withdrawals how much money left in his bank account?

Q: Is it possible to raise a positive number b to a power and obtain a negative number? Is it possible…

A: The given statement is " The possibility to raise a positive number b to a power and obtain a…

Q: Problem 4 [25 points]: Contradiction Given a proof by contradiction of the statement: If n? + 11 is…

A:

Q: Prove that the product of a negative real number and a positive real number is negative.

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Q: the fourth power of an integer is x, and x is between 100 and 600. What is x?

A: It is given that the fourth power of an integer is x.That is, x = n^4, where n is a positive…

Q: What is an integer

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Q: Prove that 5 does not divide 5n+3 for any integer n.

A:

Q: Prove that a number in the form 6k+5,” what I mean is a number in the form of 6 times some integer…

A:

Q: Prove that an odd number multiplied by an odd number is odd.

A: The objective is to prove that an odd number multiplied by an odd number is odd.

Q: let a = 3^4 7^3 11^2 13^5 and b = 2^6 5^2 7^2 11^3 13^4 Determine the values of (a,b) and [a,b] and…

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Q: For any integer a, show that a²-a+7 ends in one of the digits 3, 7, or 9.

A: For any integer a , we have to show that a2 - a + 7 ends in one of the digits 3 , 7 , or 9 . Note…

Q: what two consective odd integers have a product of 63?

A: Find two odd integers.

Q: If x is an integer, what is the greatest value of x which satisfies 5 < 2x + 2 < 9?

A: First of all, consider the definition of an integer. An integer is defined as the whole…

Q: True or false: If a is any integer, then (5a + 2,7a + 3) =1. Justify your answer.

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Q: Use a direct proof to show that every odd integer is the difference of two squares.

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Q: Prove that the difference between the square of any odd integer and the integer itself is always an…

A: An odd integer is of the form 2n+1; n ∊ ℤ. Consider the difference between the square of an odd…

Q: provide a recursive definition for the set Y of all negative multiples of 7.

A: Consider the provided question, Recursive definition: Recursion is the general definition term for…

Q: The speeds of a baseball pitcher's fastballs are normally distributed, with a mean of 160 km/h and a…

A: Let X denote the speeds of a baseball pitcher's footballs. Given that X follows N(mean = 160, SD =…

Q: Prove that 30 divides n° – n for every nonnegative integer n. -

A: The given question can be solved as shown in step2.

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.