The perimeter of an isosceles triangle is 14 meters. The length of one side is 4 meters. The lengths of the other two sides are equal. Find the lengths of the other two sides.

Can an invertible matrix operator on R² map a square region into a triangular region? Justify your answer.

Evaluate the integral. ∫ √ 1+x / 1-x dx

A dog-sledding team travels 3.5 miles in 15 minutes. At this rate, how far can the team travel in 2 hours (120 minutes)?

Find each sum. −8 + (−4)

A direct-contact-type heat exchanger found in regenerative vapor power cycles in which streams at different temperatures mix to form a stream at an intermediate temperature is an _______

Solve each system by elimination. Check your answers. x - 5y + z = 3, x + 2y - 2z = -12, 2x + 2z = 6

A casino knows that people play the slot machines in hopes of hitting the jackpot but that most of them lose their dollar. Suppose a certain machine pays out an average of $0.92, with a standard deviation of$120. Is the casino likely to be profitable? Explain.

Write the fraction as a decimal and a percent.

$$\frac{23}{50}$$

A spherical ball has a diameter of 8 inches. The ball has a slow leak in which the air escapes at the rate of 2.5 cubic inches per second. How long it would take the ball to deflate? Round to the nearest tenth.

Find the mortgage payment for a 30-year loan of $245,000 at an annual interest rate of 6.5%.

Find the product or quotient. Write your answer using exponents.

$$0.2n^{11} • 6n^8$$

Each chess piece has a path that it can follow to move. The rook, which begins in square a8, can only move vertically or horizontally. The knight, which begins in square b8, can move two squares horizontally and the one square vertically, or two squares vertically and one square horizontally. The bishop, which begins in square f8, can only move diagonally. a. The knight moves 2 squares vertically and 1 square horizontally on its first move, then two squares horizontally and 1 square vertically on its second move. What are the possible locations for the knight after two moves? b. After two moves, the rook is in square d3. Describe a possible translation to describe the two moves. c. Describe a translation that can take the bishop to square a1. What is the minimum number of moves that can be used to accomplish this translation?

Divide.

$$18.88 \div 1.6 =$$