Answer:
2.2 grams
Step-by-step explanation:
We can use the compound decay formula shown below to solve this:
![F=P(1-r)^t](https://tex.z-dn.net/?f=F%3DP%281-r%29%5Et)
Where
F is the final amount (what we want to find)
P is the present amount (490 grams)
r is the rate of decay, in decimal (28.6% = 28.6/100 = 0.286)
t is the time in minutes (16)
Substituting, we get:
![F=P(1-r)^t\\F=490(1-0.286)^{16}\\F=490(0.714)^{16}\\F=2.2355](https://tex.z-dn.net/?f=F%3DP%281-r%29%5Et%5C%5CF%3D490%281-0.286%29%5E%7B16%7D%5C%5CF%3D490%280.714%29%5E%7B16%7D%5C%5CF%3D2.2355)
So, after 16 minutes, 2.2355 grams will be remaining.
<em>Rounded to nearest tenth of a gram (1 decimal place) = </em><em>2.2 grams remaining</em>
Answer:
Recognize the equation as that of a horizontal line passing through the y-axis at −3
Answer:
8
Step-by-step explanation:
d=√(−5−3)2+(−2−(−2))2
d=√(−8)2+(0)2
d=√64+0
d=√64
d=8
Well if he is filling one 3/4 quart bottle, then he must fill his measuring cup 3 times, so just multiply it by 5, and you have 15.
David needs to fill the measuring cup 15 times.
Answer:
Step-by-step explanation:
m = slope where
m = rise / run
rise = y2 - y1
run = x2 - x1
where
the given point P1 = (7, -12)
and is in the form of (x1,y1)
and
the given point P2 = (-9,36)
is in the form of (x2,y2)
then
m = ( y2 - y1 ) / ( x2 - x1 )
m = ( 36 - (-12) ) / ( -9 -7 )
m = ( 36 + 12 ) / ( - 16 )
m = 48 / - 16
m = - 3
the slope is negative 3
slope = - 3