The function f(t)=Ne(−kt) can be used to model half-life decay, where N is the initial amount, t is time in days and k is a constant. A substance has a k value of 0.328. If the amount of the substance remaining after 14 days is 50 grams, what was the initial amount? Round your answer to the nearest gram, and do not include units.

4935 grams.

Step-by-step explanation:

Given, The function can be used to model half-life decay, where N is the initial amount, t is time in days and k is a constant.

A substance has a k value of 0.328.

i.e. k= 0.328

The amount of the substance remaining after 14 days is 50 grams, i.e. put t= 14 and f(t) = 50 in the above equation, we get

Hence, the initial amount was 4935 grams.

3x + 18 = 147°

step-by-step explanation:

3x + 18 = 147°, because the value of the central angle is equal to the value of the arc formed by it.

i hope i you.

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it