Problem PageQuestion The area covered by a certain population of bacteria increases according to a continuous exponential growth model. Suppose that a sample culture has an initial area of and an observed doubling time of days. (a)Let be the time (in days) passed, and let be the area of the sample at time . Write a formula relating to . Use exact expressions to fill in the missing parts of the formula. Do not use approximations. (b)What will the area of the sample be in days

a) The relation between y and t is

b) y(6) = 19.8 mm^2

Step-by-step explanation:

The question is incomplete: "The area covered by a certain population of bacteria increases according to a continuous exponential growth model. Suppose that a sample culture has an initial area of 8.6 mm^2 and an observed doubling time of 5 days. (a)Let be the time (in days) passed, and let y be the area of the sample at time . Write a formula relating y to t. Use exact expressions to fill in the missing parts of the formula. Do not use approximations. (b)What will the area of the sample be in 6 days?

As the area covered increases according to a continous growth model, we start with these relation:

We know that the initial area y(0) is 8.6. Then:

We also know that the area duplicates after 5 days.

Then, the model becomes:

b) We have to calculate y(6)

the highest percentage for deaths in construction from highest to lowest is as follows: falls, struck by objects, electrocution, and caught-in/between. these four are collectively known as fatal four.

in the case of falls, the type that is responsible for the overall highest death in the category is falls from roofs.

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.