Let x, y,z be (non-zero) vectors and suppose =−2x−4y+3z. If z=x+2y, then = 1 x+ 2 y. Using the calculation above, mark the statements below that must be true.

A. Span(w, y) = Span(w, x, y)

B. Span(w, z) = Span(x, z)

C. Span(w, x) = Span(w, x, z)

D. Span(w, x) = Span(w, z)

E. Span(y, z) = Span(x, y, z)

Your car's gasoline tank holds 18 gallons of gasoline. on a trip in canada, the tank is one-quarter full. you want to fill the tank. how many liters of gasoline are needed to fill the tank

Stu and ambrose are working together on a study of whether diet is related to students' mental health. first, they randomly select 10 students from the student center and 10 students from the office of counseling and psychological services. then, they ask students to rate their diet in terms of healthiness on a scale of 1-100 before completing a 20-item mental health survey. a) name one of the constructs being studied b) how was the construct you named above operationally defined in this experiment? e) was the variable you described above their independent variable, their dependent variable, or a controlled variable? d) what is a confounding variable? what is a potential confound in this study?

Which problem would you use the following proportion to solve for? 24/x = 40/100 a. what is 40% of 24? b. what percent is 24 of 40? c. twenty-four is 40% of what number? d. forty percent of 24 is what number?