Newton's law of cooling is:

du/dt= -k(u-t)

where u(t) is temperature of an object, t is in hours, t is a constant ambient temperature, and k is a positive constant.

suppose a building loses heat in accordance with newton's law of cooling. suppose that the rate constant k has the value 0.15 hr ? 1 . assume that the interior temperature is ti = 70? f, when the heating system fails. if the external temperature is t = 11? f, how long will it take for the interior temperature to fall to t1 = 32? f?

The parabola y = x² - 4 opens: a.) up b.) down c.) right d.) left

Can someone me i’m confused. will give brainliest and a whole bunch of points

Questions 9-10. use the table of educational expenditures to answer the questions. k-12 education expenditures population indiana $9.97 billion 6.6 million illinois $28.54 billion 12.9 million kentucky $6.58 billion 4.4 million michigan $16.85 billion 9.9 million ohio $20.23 billion 11.6million 9. if the amount of k-12 education expenses in indiana were proportional to those in ohio, what would have been the expected value of k-12 expenditures in indiana? (give the answer in billions rounded to the nearest hundredth) 10. use the value of k-12 education expenditures in michigan as a proportion of the population in michigan to estimate what the value of k-12 education expenses would be in illinois. a) find the expected value of k-12 expenditures in illinois if illinois were proportional to michigan. (give the answer in billions rounded to the nearest hundredth) b) how does this compare to the actual value for k-12 expenditures in illinois? (lower, higher, same? )