About Use the given equations in a complete proof of each theorem. Your proof should be expressed in complete English sentences. (a) Theorem: If a, b, and c are integers such that a3|b and b2|c, then a6|c.

(b) Theorem: If m and n are integers such that m|n, then m|(5n3 - 2n2 3n).

(c) Theorem: If n is an odd integer, then 4 divides n2-1.

(d) Theorem:The sum of the squares of any two consecutive integers is odd.

(a) the volume of the cone is 20/3 in3

hence, option a is correct.

pretty sure 750 each month!

step-by-step explanation:

the answer for this question is : 360°

step-by-step explanation:

we have been given a triangle   we need to tell which one of these is a triangle below to map onto itself.

360° rotation is the complete rotation which eventually leads to the same figure which is given.

the correct will be, that is 360° that will cause the triangle below to map onto itself.

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.