If $x$ is positive and $y$ is negative, which of the following expressions is always positive? | MATHalino

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Multiple Choice Questions (MCQ) uploaded before May 2024

A tugboat traveling at 40 kph leaves port at 4 PM carrying off some contraband goods. A patrol boat assigned to stop the goods leaves the same post an hour later and drove at 90 kph. What time will the patrol boat overtake the tugboat?
Find the 8th term of the sequence $-3, ~ 4, ~ 5/3, ~ … \, , ~ \dfrac{n + 2}{2n - 3}$.
A student in a chemistry laboratory wants to form a 32 milliliter mixture of two solutions to contain 30% acid.
The sum and product of three distinct positive integers are 15 and 45, respectively. What is the smallest integer?
Simplify and solve for y: $y = \ln \left( \dfrac{e^x}{e^{x - 1}} \right)$.
If 1/4 of a mixture of rice and corn was replaced by corn alone, the resulting mixture becomes 55% corn. What was the percentage of corn in the original mixture?
The polynomial $x^3 + 4x^2 - 3x + 8$ is divided by $x - 5$. What is the remainder?
The following three terms are in geometric progression: x, 2x + 7, 10x – 7. What is the 6th term?
A rectangle with sides parallel to the axes has vertices at (-3, 2), (2, 5), and (-3, 5). Find the coordinate of the fourth vertex.
Three adjacent faces of a rectangular parallelepiped measures 8 square inches, ...
A radioactive substance is decaying (it is changing into another element) according to the formula y = Ae^(-0.2x)
Find the sum of the arithmetic sequence 2, 4, 6, 8, 10, 12.
Which of the following assets are depreciable?
Three numbers whose sum is 42 are in GP. If 1 is subtracted from the first, 3 from three from the second, and 11 from the third, the remainders will be in AP. Find the smallest number.
It is the property of a material to absorb energy from a continuously applied load until it yields.

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