Complete the two-column proof by providing a reason for each of the five statements. Given: Rectangle RUTS

Prove: ∠USR = ∠SUT

Statement

1. RUTS is a rectangle

2. RU = ST; UT = RS

3. ∠STU and ∠SRU are right angles

4. ΔURS ≅ Δ STU

5. ∠USR = ∠SUT

Evaluate the integral. (sec2(t) i t(t2 1)8 j t7 ln(t) k) dt

An optical inspection system is used to distinguish among different part types. the probability of a correct classification of any part is 0.92. suppose that three parts are inspected and that the classifications are independent. let the random variable x denote the number of parts that are correctly classified. determine the probability mass function of x. round your answers to four decimal places (e. g. 98.7654). x f(x) 0 1 2 3

What is the inverse of f(x) = 6x -24