Element X decays radioactively with a half life of 6 minutes. If there are 260 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 113 grams

7.2 minutes

Step-by-step explanation:

The formula to find the time using the radioactive decay rate formula is given as:

t = t½ × In(Nt/No)/-In2

Where

t½ = half life = 6 minutes

No = Initial Amount = 260 grams

Nt = Amount after decay

= 113 grams

Hence:

t = 6 × In(113/260)/-In2

t = 7.2131331036796 minutes

Approximately = 7.2 minutes

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)