Answer:
x = 5
Step-by-step explanation:
<u>Step 1: Multiply out the brackets</u>
48x - 80 - 40x + 80 = 40 → <em>negative + negative = positive [-10 x -8]</em>
<u>Step 2: Simplify</u>
8x = 40 →<em> collect like terms</em>
<u>Step 3: Solve</u>
x =
x = 5
Answer:
Step-by-step explanation:
The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.
An exponential decaying function is expressed as:
Where:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the decaying rate, expressed in decimal
The concentration of the pollutants starts at Co=5 mg/lt. We also know the pollutant reduces its concentration by 10% each hour. This gives us a value of r = 10% / 100 = 0.1
Substituting into the general equation:
Operating:
Answer:
The minimum width of the placemat is 10 inches.
Step-by-step explanation:
Let suppose that placemat has a square form, whose width must be at least equal to the diameter of the pizza, so that pizza does not touch the table. Hence, the following relationship is obtained:
Where:
- Width of the placemat, measured in inches.
- Diameter of pizza, measured in inches.
The area of the pizza, measured in square inches, is determined by this formula:
The diameter is cleared afterwards:
If and
, then:
The minimum width of the placemat is 10 inches.