Using euler or possibly quadratic reciprocity, we can readily decide if an integer a has a quadratic residue modulo a prime p (a) if a has a quadratic residue modulo a prime p and p 3mod 4, show that integer and that a solution to a2 amod p is given by a 4. +1 is an p+1 (b) use part (a) to solve x2 = 7 mod 787.

Use the function value to find the indicated trigonometric value in the specified quadrant.function value quadrant trigonometric valuecsc(θ) = −4 iv cot(θ)cot(θ)=?

Michelle and julie work at a catering company. they need to bake 264 cookies for a birthday party that starts in a little over an hour and a half. each tube of cookie dough claims to make 36 cookies, but michelle eats about 1/5 of every tube and julie makes cookies that are 1.5 times as large as the recommended cookie size.it takes about 8 minutes to bake a container of cookies, but since julie's cookies are larger, they take 12 minutes to bake. a. how many tubes should each girl plan to bake? how long does each girl use the oven? b. explain your solution process what did you make? c. what assumptions did you make?

Leslie started last week with $1200 in her checking account. during the week, she wrote the checks below.