Answer:
t = 6.3
Step-by-step explanation:
N=Noe^(-kt)
No = 14 grams
k = .1092
We want to find t when N = 7 or 1/2 of 14
N=Noe^(-kt)
7 = 14 e ^ (-.1092t)
Divide each side by 14
1/2 = e ^ (-.1092t)
take the natural log of each side
ln (1/2) = ln e ^ (-.1092t)
ln (1/2) = -.1092t
Divide each side by -.1092
ln (1/2)/ -.1092 = t
t≈6.3475
Rounding to the nearest tenth
t = 6.3
Answer:
the coordinates of the point of x and y is -1÷ 2 and -√3÷ 2
Step-by-step explanation:
The computation of the coordinates of the point is shown below:
The angle is
= 4π ÷ 3
The radius is 1 unit
Now
x = rcos
, and y = rsin
Now
x = 1cos(4π ÷ 3) = -1÷ 2
y = 1sin(4π ÷ 3) = -√3÷ 2
hence, the corordinates of the point of x and y is -1÷ 2 and -√3÷ 2
Answer:
46
Step-by-step explanation:
“the product of 6 and 9 decreased by 8"
“the product of 6 and 9" = 6 * 9
"decreased by 8" = - 8 (subtract 8 from whatever, in this case 6 * 9)
“the product of 6 and 9 decreased by 8" = 6 * 9 - 8 = 46
Given: ax-by>c
Subtract ax on both sides: -by>-ax+c
Divide both sides by -b: y<(-ax+c)/-b
Simplify: y<(ax-c)/b
your answer: y<(ax-c)/b
