2. Hillary walks to work in the winter with a cup of coffee. The cup of coffee's temperature, T degrees Celsius, after m minutes is modelled by the equation 7 = 75(2)***. Determine how long it takes for the temperature of the coffee to reach 26°C.

Solve the equation for the indicated variable. wd=rTH; for T

The resistance of a copper wire carrying an electrical current is directly proportional to its length and inversely proportional to its cross-sectional area. A copper wire with a diameter of 0.0126inch has a resistance of 64.9ohms per thousand feet. What length of 0.0201-inch-diameter copper wire will produce a resistance of 33.5ohms?

Complete the table to find three solutions to the equation: y = 3x — 1.

e Solve and show work. The population of New England was 4,000 in the year 1750. The population continues to increase at a rate of 28%. per year, a writean equation that models the population of New England where t is the number of years since 1750, b) Determine the population of New England in the year 1823 using the model.

d. A can has a surface area of 1187 square inches. Its height is 5.66 inches. What is the radius of the circular top? 3. Solve each problem. Verify your result using a graphing calculator. a. A ball is thrown upward from ground level with an initial velocity of 108 feet per second. Its height h in feet after t seconds is given by the equation h = -16t² + 108t. At what time will the ball hit the ground?

a. DeepSea Challenger's descent was a change in depth of (-4) feet per second. We can use the equation y = -4x to model this relationship, where y is the depth and x is the time in seconds that have passed. How many seconds does this model suggest it would take for DeepSea Challenger to reach the bottom?

CR3. An object is launched at 19.6 meters per second (m/s) from a platform. The equation for the object's height s at time t seconds after launch is s(t) = -4.9t? + 19.6t + 58.8, where s is in meters. Answer the following questions based on this information. a. How high is the object after 1 second? b. How tall is the platform? c. When does the object hit the ground? d. What is the maximum height of the object? e. When does it reach its maximum height? f. When is the object 20 meters high?

A cup of coffee is made with boiling water at a temperature of 100◦C in a room with ambient temperature 25◦C. After 4 minutes the coffee has cooled to 90◦C.   a. What is the equation T(t) for the temperature of the coffee?   b. What is the temperature of the coffee after 10 minutes?

Based on the veterinarian's equation, in how many weeks will the puppy weigh 12.6 ounces?Enter your answer in the box. Only enter a number