Step-by-step explanation:
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Answer: 96 cm^3
To answer this, start by finding the volume of the square prism. The formula is L x W x H, therefore the volume is 3 x 3 x 10 = 90.
Then, find the volume of the pyramid on the top. Use the same formula but divide it by 3 because it is a pyramid. 3 x 3 x 2 / 3 = 6
Add 90 and 6 to get 96.
Using an exponential function, it is found that the colony will have 1344 bacteria after 8 days.
<h3>What is an exponential function?</h3>
An increasing exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
Considering the initial amount of 150, and the growth rate of 73% each 2 days, the equation is given by:
Hence, after 8 days, the amount of bacteria is given by:
More can be learned about exponential functions at brainly.com/question/25537936
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<span>Simplifying
3x + -8 = 31
Reorder the terms:
-8 + 3x = 31
Solving
-8 + 3x = 31
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '8' to each side of the equation.
-8 + 8 + 3x = 31 + 8
Combine like terms: -8 + 8 = 0
0 + 3x = 31 + 8
3x = 31 + 8
Combine like terms: 31 + 8 = 39
3x = 39
Divide each side by '3'.
x = 13
Simplifying
x = 13</span>
50(4)= 200
There are 200 pattern blocks.
Hope this helps!
