Ok so the triangle part is 10 but I don’t know what the rectangle part is but the formula for a rectangle is A=base x high
Answer: 0.87400mg of caffeine.
Step-by-step explanation:
You have
N(t)=N0(e^−rt)(1)
as a general Exponential decay equation where N0 is the amount at t=0, N(t) is the amount remaining at time t and r is the exponential decay constant. You're specifically given that after 10 hours, the decay factor is 0.2601, i.e.,
N(10)/N(0)=N0(e^−10r)/N0(e^0)= e^−10r=0.2601 . .(2)
Taking the last 2 parts of (2) to the power of 0.1t gives
e^−rt=0.2601^.1t . .(3)
This means that
N(t)=N0(e^−rt)=N0(0.2601^.1t). .(4)
Also,
N(2.56)N(1.56)=N0(0.2601.1(2.56))N0(0.2601.1(1.56))=0.2601.1(2.56−1.56)=0.2601^.1
= 0.87400mg of caffeine.
Answer:
b
a=1
Step-by-step explanation:
Answer:
x = -5
Step-by-step explanation:
In both questions you want to get the x alone.
1.
-3x + (-6) = 9
First you want to add 6 to both sides so you'll be left with:
-3x = 15
Next, you want to divide both sides by -3 and you'll get:
x = -5
2.
-4x + (-12) = 8
You want to do the same thing as the first one so you'll add 12 to both sides:
-4x = 20
Then, you will divide both sides by -4 and get:
x = -5
3/4 = 0.75 in decimal inch
Karla wants to leave 0.75 inch in her signature.
4 -0.75 = 3.25 inch needed
0.25 = 1/4
3 and 1/4 inches is needed.
