Ohh well when u type in another question it should show a pic option at the bottom once your done typing whatever is u wish to ask :)
Answer:Answer:
Option (c) is correct.
function representing the increase of bacteria every hour x,
Step-by-step explanation:
Given : A colony contains 1500 bacteria. The population increases at a rate of 115% each hour.
we have to find the function that represents the given scenario.
Let x represents the number of hours elapsed.
Given A colony contains 1500 bacteria
and number of bacteria is increasing at a rate of 115% each hour.
Using formula for Compound interest , we have,
Where A is amount
T is time period
R is rate of interest
Here, P = 1500
T = x hours
R = 115%
Let f(x) be the function representing the increase of bacteria every hour.
Substitute, we have,
Simplify, we get,
Thus, function representing the increase of bacteria every hour x,
If you would like to find the inequality to determine the number of full-time employees Tom must schedule, you can calculate this using the following steps:
n ... the number of full-time employees
260 <= 20 + n * 40
260 - 20 <= n * 40
240 <= n * 40
n >= 240/40
n >= 6 full-time employees
The correct result would be at least 6 full-time employees.
0.329 is a rational number because the decimal stops. If it had continued on and on with no particular pattern, it would have been irrational. It can be a fraction too (329/1000)...
127.5 is a rational number because again the decimal ends. It can also be converted into a fraction which is another sign that it is rational (127 1/2)...
-89 is a rational number because negatives are rational numbers. It is also in the category of an integer, which means that is a rational number also...
The last one is a non-perfect square, which means no number squared could ever give you 101. When you solve for it, it is also a non-terminating decimal.
Answer:
The volume of the prism is 27√3/2
Step-by-step explanation:
* Lets revise the triangular prism properties
- The triangular prism has five faces
- Two bases and three side faces
- The two bases are triangles
- The three side faces are rectangles
- The rule of its volume is Area of its base × its height
* Lets solve the problem
- The triangular prism has two bases which are equilateral triangles
- The length of each side of the triangular base is 3"
- The height of the prism is 6"
∵ The volume of the prism = area of the base × its height
∵ The base is equilateral triangle of side length 3"
- The area of any equilateral triangle is √3/4 s²
∴ The area of the base of the prism = √3/4 × (3)² = 9√3/4
∵ The length of the height of the prism is 6"
∴ The volume of the prism = 9√3/4 × 6 = 27√3/2
* The volume of the prism is 27√3/2
