The area, in square meters, of a pond covers by an algae bloom decreases exponentially after a treatment is applied

Day 0 , A = 150

Day 1 , A = 106.06

Day 2, A = 75

Day 3, A = 53.033

Day 4, A = 37.5

Step-by-step explanation:

The complete question is attached below

The exponential decay for area is depicted by

------Eq (1)

Substituting the values given in the attachment, we get -

On solving for lambda we get -

Substituting the value of lambda in equation 1 we get -

Substituting the value of d one by one we get

Day 0 , A = 150

Day 1 , A = 106.06

Day 2, A = 75

Day 3, A = 53.033

Day 4, A = 37.5

triangle and cube

step-by-step explanation:

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: