I believe the answer is A 27 pounds.
I hope this helps :)
In this scenario we know that carbon14 at a given time A(t) = A0e^(-kt), where A0 is the original carbon present, t is time in years and k is the constant.
As we are working with the half life of carbon being 5730 years, we assume original carbon-14 content, A0 = 1, and carbon-14 at half life 5730 years, A(t) = 0.5.
i.e.
0.5 = 1e^(-5730k)
apply Ln to both sides of equation to cancel e
ln(0.5) = -5730k
k = ln(0.5) / -5730
k = -0.69315 / - 5730 = 1.20968 x 10^-4
Answer:
62 large cups were sold
Step-by-step explanation:
88*1.25=110
265-110=155
155/2.50=62
Answer:
<em><u>Part A: </u></em>(40/100)*x = 1 where x is the total contents of the bottle.
<em><u>Part B</u></em>: 1.5 Liters = the Lemon Juice
Step-by-step explanation:
Part A
Let the full contents of the bottle = x
<em><u>Equation</u></em>
Since 60% of it is lemon juice, then 100% - 60% = 40% must be water.
(60/100) * x = ?? Equation for Lemon Juice. You have to solve the water first.
(40/100) * x = 1 Equation for water
Part B
(40/100) * x = 1 change the 40% to a decimal
0.4x = 1 Divide by 0.4
x = 1/0.4 = 2.5 L
Now to find out the amount of lemon juice
0.6 * 2.5 = Lemon Juice
1.5 L = the amount of Lemon Juice.
Answer:
The length of minor arc AB is π ft
Step-by-step explanation:
The formula of the length of an arc in a circle is L = × 2πr, where α is the central angle subtended by the arc, and r is the radius of the circle
∵ The radius of the circle is 4 ft
∴ r = 4
∵ ∠AOB is a central angle subtended by minor arc AB
∵ m∠AOB = 50°
∴ α = 50°
Substitute the values of r and α in the rule above
∵ L = × 2π(4)
∴ L = π
∴ The length of minor arc AB is π ft