A dry goods company buys a new, modern mixer to supplement the output of their old, current mixer. The old mixer has a capacity of 50 gallons and can thoroughly mix a full load of loam and fill in 40 minutes. The new mixer has a capacity of 20 gallons and can thoroughly mix a full load of loam and fill in 15 minutes. Both mixers are loaded and started at the same time at the beginning of the day. Which function represents the output of the two mixers combined, where t represents the time in minutes since starting? Assume that emptying and reloading the mixers can be done instantly.

The average human heart beats 1.15 \cdot 10^51.15⋅10 5 1, point, 15, dot, 10, start superscript, 5, end superscript times per day. there are 3.65 \cdot 10^23.65⋅10 2 3, point, 65, dot, 10, start superscript, 2, end superscript days in one year. how many times does the heart beat in one year? write your answer in scientific notation, and round to one decimal place.

An airplane consumes fuel at a constant rate while flying through clear skies, and it consumes fuel at a rate of 64 gallons per minute while flying through rain clouds. let c represent the number of minutes the plane can fly through clear skies and r represent the number of minutes the plane can fly through rain clouds without consuming all of its fuel. 56c+64r < 900056c+64r< 9000 according to the inequality, at what rate does the airplane consume fuel while flying through clear skies, and how much fuel does it have before takeoff? the airplane consumes fuel at a rate of gallons per minute while flying through clear skies, and it has gallons of fuel before takeoff. does the airplane have enough fuel to fly for 60 minutes through clear skies and 90 minutes through rain clouds?

Factor x2 – 8x + 15. which pair of numbers has a product of ac and a sum of what is the factored form of the