Where is the rest of the question?
Answer:
(10,9) P=10
Step-by-step explanation:
find the slope first: y2-y1/x2-x1=(3-1)/1-(-2)=2/3
y=2/3x+b
find b:
3=2/3(1)+b
b=3-2/3
b=7/3
now we find P
(p,9) input the y in the equation
y=2/3 x+7/3
9=2/3x+7/3
9-7/3=2/3x
x=10
Answer:
200 jelly beans
Step-by-step explanation:
2/5 of 500= 200
20% of 500= 100
100+200=300
500-300=200
Answer:
It'll take approximately 9.1 minutes
Step-by-step explanation:
The decay of this element can be modeled by the following expression:
m(t) = 540*(1 - 0.179)^t
Where m is the mass of the element in a given minute t. This expression comes from a compounded interest formula, with negative rate, since they will work in the same manner. Therefore to find how long until it reaches 90 g, we need to make m = 90 and solve for t.
90 = 540*(0.821)^t
(0.821)^t = 90 / 540
(0.821)^t = 1/6
ln(0.821^t) = ln(1/6)
t*ln(0.821) = ln(1) - ln(6)
t*ln(0.821) = - ln(6)
t = -ln(6)/ln(0.821) = 9.08452
It'll take approximately 9.1 minutes