Consider the reduction of the rectangle.
2.3 ft
X
ft
16.8 ft
Not drawn to scale
Rounded to the nearest tenth, what is the value of x?
O
O
O
O
0.1 feet
0.6 feet
1.6 feet
2.0 feet

Given:

Given that the two rectangles with the reduction of the one of the two rectangles.

We need to determine the value of x.

Value of x:

Let us determine the value of x.

Since, the two rectangles are only reduced in lengths and width, then their lengths and widths are proportional.

Thus, we have;

Cross multiplying, we have;

Simplifying, we get;

Dividing both sides of the equation by 16.8, we get;

Thus, the value of x is 0.6

Hence, Option b is the correct answer.

k = 1

P(t) = (t + 20)²

Step-by-step explanation:

P' = k√P = k P⁰•⁵

To solve for k,

P' = 10 rabbits/month

P = 100 rabbits

10 = k √100

10 = 10k

k = 1

To solve for P(t)

P' = dP/dt

(dP/dt) = kP⁰•⁵

dP/P⁰•⁵ = k dt

P⁻⁰•⁵ dP = k dt

∫ P⁻⁰•⁵ dP = ∫ k dt

2P⁰•⁵ = kt + c

At t = 0, P = 100

2(100)⁰•⁵ = 0 + c

2 × 10 = c

c = 20

2P⁰•⁵ = kt + c

2P⁰•⁵ = kt + 20

Recall, k = 1

2P⁰•⁵ = t + 20

P⁰•⁵ = (t + 20)

P(t) = (t + 20)²