Answer:
λN N(0) = 6
N(t) = N₀e^(λt)
Applying the inital value condition
N(t) = 6e^(λt)
Step-by-step explanation:
Summarizing the information briefly and stating the variables in the problem.
t = time elapsed during the decay
N(t) = the amount of the radioactive substance remaining after time t
λ= The constant of proportionality is called the decay constant or decay rate
Given the initial conditions
N(0) = N₀ = 6
The rate at which a quantity of a radioactive substance decays (
) is proportional to the quantity of the substance (N) and λ is the constant of proportionality is called the decay constant or decay rate :
λN
N(t) = N₀e^(λt) ......equ 1
substituting the value of N₀ = 6 into equation 1
N(t) = 6e^(λt)
S = 60W + 650 <== ur equation
after 18 weeks...so sub in 18 for W
S = 60(18) + 650
S = 1080 + 650
S = 1730 <==
The volume of the original prism is calculated by multiplying the area of the base by the height,
volume = (8 cm²)(6 cm) = 48 cm³
By the word dilated we mean to say that the dimensions of the new prism is 5/4 times that of the original solid. If we let x be the volume of the new solid,
x / 48 cm³ = (5/4)³
The value of x from the equation above is equal to 93.75 cm³.
Hi there! We just need to use some simple multiplication for this equation. I'll walk you through it.
Remember that 1 foot is 12 inches. This'll come in handy later.
48 * 24 = 1152
Now, divide this by 12.
1152/12 = 96
There you go! The area of the poster is 96 square feet.
:)
Since 0.10 is a decimal, multiplying 104.3 by 0.10 is actually dividing 104.3 by 10. Thus 104.3 multiplied by 0.10 is 10.43.
