The total area of the given composite figure is; 84.8 ft²
<h3>How to find the area of a composite figure?</h3>
We are given;
Area of triangle = 5.6 ft²
Thus, area of 2 triangles = 2 * 5.6 = 11.2 ft²
Area of rectangles = 2(3.6 * 2) + 2(2 * 4) + 3(4 * 3.6)
Area of rectangles = 14.4 + 16 + 43.2
Area of rectangles = 73.6 ft²
Total Area of composite figure = 73.6 ft² + 11.2 ft²
Total Area of composite figure = 84.8 ft²
Read more about area of composite figure at; brainly.com/question/21135654
#SPJ1
Given:
Initial number of bacteria = 3000
With a growth constant (k) of 2.8 per hour.
To find:
The number of hours it will take to be 15,000 bacteria.
Solution:
Let P(t) be the number of bacteria after t number of hours.
The exponential growth model (continuously) is:
Where, 
is the initial value, k is the growth constant and t is the number of years.
Putting 
in the above formula, we get
Taking ln on both sides, we get
![[\because \ln e^x=x]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cln%20e%5Ex%3Dx%5D)
Therefore, the number of bacteria will be 15,000 after 0.575 hours.
2275/6 or 379.1667. You multiply the top (numerators) parts of the fractions and then the bottom (denominators). You then divide them.
Answer:
y = -1/2x^2 -5x -45/2
Step-by-step explanation:
Multiply it out and collect terms.
y = -1/2(x^2 +10x +25) -10 . . . . . expand the square
y = -1/2x^2 -5x -25/2 -20/2 . . . eliminate parentheses
y = -1/2x^2 -5x -45/2 . . . . . . . . collect terms
Answer:
f=4
Step-by-step explanation:
-11f = 7(1-2f)+5
step 1 distribute what is outside of the parenthesis to the inside of the parenthesis
-11f=7-14f+5
step 2 combine like terms
-11f=12-14f
step 3 add 14 to each side
3f=12
step 4 divide each side by 3
f=4
