Answer:
120 grams will be left after 180 years.
Step-by-step explanation:
A radioactive half-life refers to the amount of time it takes for half of the original isotope to decay and its given by

where,
= quantity of the substance remaining
= initial quantity of the substance
= time elapsed
= half life of the substance
From the information given we know that:
- The initial quantity is 480 g,
- The half-life is 90 years,
- 180 years is the time elapsed.
And we want to find how much will be left. For this we use the above formula.

120 grams will be left after 180 years.
Answer:
A
Step-by-step explanation:
We are given:

Since cosine is the ratio of the adjacent side over the hypotenuse, this means that the opposite side is (we can ignore negatives for now):

So, the opposite side is 5, the adjacent side is 12, and the hypotenuse is 13.
And since θ is in QIII, sine/cosecant is negative, cosine/secant is negative, and tangent/cotangent is positive.
Cosecant is given by the hypotenuse over the opposite side. Thus:

Since θ is in QIII, cosecant must be negative:

Our answer is A.
3/(5/4) = x/1
x = 12/5 = 2.4 Problems/h
Answer:
300
Step-by-step explanation:
you just divide the number of parts by minutes. In this case, 3600/12=300. There's your answer
A) To buy one box of the new cereal it will be y=8*1 so 8$. 12-8= 4. So the original brand is 4$ more.
B) 4*4=16$