Show that each statement is false by finding a counterexample1)the opposite of each natural number is a natural number2)there is no integer that has a reciprocal that is an integer

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?

Afootball is passed through the air and caught at ground level for a touchdown. the height of the ball (h) is given by h= -d² + 12d + 6, where d is the distance in feet the ball travels horizontally. how far from the player passing the ball will the ball be caught? 40 points! will mark brainliest!

68 complete the following proof. given: qk=16, pk=26, mk=65, kl=40prove: ∆qpk~∆lmk