The number of bacteria, B, in a refrigerated food is given by B(T)=20T^2−75T+450 for 1.875 ≤ T ≤ 13 and where T is the temperature of the food in degrees Celsius. When the food is removed from the refrigerated area, the temperature is T(t)=3t+3 for 0 ≤ t ≤ 2.5 where t is the time in hours. Find the composite function B(T(t)) and interpret its meaning in context. Show your work.

The sketch shows two parallel lines cut by a transversal. angle 2 2 is 36° 36 ° . what is the measure of angle 8 8 ?

Will mark determine whether the conjecture is true or false. give a counterexample for any false conjecture. given: points r, s, and t conjecture: r, s, and t are coplanar. a) false; the points do not have to be in a straight line. b) true c) false; the points to not have to form right angles. d) false; one point may not be between the other two.

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?