The perimeter of an equilateral triangle is 120 cm. Each side of the triangle is increased by 20%, and then a new triangle is formed by connecting the midpoints of the sides of the enlarged triangle. What is the perimeter of the new triangle formed by the connected midpoints, in cm?

The function f(t) = 1000  represents the population of a rare species of birds after t months. If the population decreases by p% annually from its value a year before, what is p?

The population of a town decreased from 45,000 in 1990 to 30,000 in 2010. Assuming the population decreased at a constant rate, which function best models the population P, in thousands, t years after 1990?

A solid cube with side length 6 units has a cylindrical hole with radius 2 units drilled straight through its center from the top face to the bottom face. What is the volume, in cubic units, of the remaining solid?

Simplify the expression

Consider the equation (px + 4)(7) = 140 – 172 x² + 60x + 20. Find the product of the constants p and q if the equation for all x.

How many positive integer factors does 60 have, including 1 and 60?

Linda was eyeing a designer coat that was initially marked with a 10% discount. On reaching the counter, she was pleasantly surprised to find that an additional discount of 10% was applicable on top of the discounted price. After these discounts, she also had to pay a 5% sales tax on the final amount. If Linda paid a total of $153.30 for the coat, what was the original price of the coat?

If g(x) =  and h(x) = 2x + 1, what is h(g(-1))?

A rare crystal is used in an experiment and starts with a weight of 5 grams. The crystal's weight increases by 20 percent every 3 hours. Additionally, every 9 hours, instead of a growth period, environmental factors cause the crystal to lose 5 percent of its current weight. Determine the weight in grams of the crystal after 15 hours.

In the xy - plane, a parabola has its vertex at (7,−10) and intersects the x-axis at two distinct points. The equation of the parabola can be expressed in the form y=a+bx+c, where a, b, and c are constants. Which of the following values is a possible value for a+b+c, if a is an integer value?

A cube with side length 6 units is painted on all six faces and then cut into 1 unit × 1 unit × 1 unit smaller cubes for a total of 6 × 6 × 6 = 216 small cubes. If one of the small cubes is chosen at random, what is the probability that it has exactly two painted faces?

A rectangular prism has a length of 12 feet, a width of 8 feet, and a height of 6 feet. A spherical balloon with a radius of 3 feet is inside the prism. To the nearest cubic foot, what is the volume of the space in the prism not occupied by the balloon?

A triangular banner has an area of 120 square feet. A larger replica of the banner is made where the height and base of the original banner are each increased by 25%. What is the area of the replica banner, in square feet?

In a regular pyramid with a square base ABCD and vertex V, the base side length is 120 units. Point E is the midpoint of side AD, and point F is the midpoint of side BC. A line segment EF is drawn such that it is parallel to the base ABCD and lies within the plane passing through E, F, and V. What is the length of line segment EF?

Two surveys were conducted in the same city to determine the vaccination rate. Survey 1 reported a 62% vaccination rate with a margin of error of 3.5%, and Survey 2 reported a 55% rate with a margin of error of 2.1%. What can be inferred about the sample sizes of the two surveys based on the given margins of error?

The circle shown has center O, circumference 150 π, and diameters AD and BC. The length of arc AB is twice the length of arc BD. What is the length of arc AB?

During a rocket test flight, the altitude, in kilometers (km), of the rocket was recorded to the nearest tenth at certain times. The scatterplot shows the altitude y, in km, of the rocket t minutes after liftoff. What was the average rate of change in altitude, in km per minute, from t=3 to t=6?