Answer:
800
Step-by-step explanation:
In order to get the new population of bacteria in <em>690 minutes</em>, you have to know how often the bacteria will divided in the time frame. So, you have to <em>divide </em><em>690 minutes </em><em>by </em><em>230 minutes.</em>
- 690 min. ÷ 230 min. = 3 times
The bacteria wil<u>l double its colony 3 times in 690 minutes</u>.
- <em>First division:</em> 100 x 2 = 200 bacteria
- <em>Second division:</em> 200 x 2 = 400 bacteria
- <em>Third division:</em> 400 x 2 = 800 bacteria
Therefore, the population of bacteria will be 800 in 690 minutes.
Answer:
width = 8, length = 42
Step-by-step explanation:
Let x = width, then length = 4x+10.
A = l x w
336 = x(4x+10) put into standard form
4x2 + 10x - 336 = 0 divide by 2
2x2 + 5x - 168 = 0 and solve using the quadratic formula and get
-21/2 and 8, the neg answer will not work, so the width = 8, length = 42
So here's the rule from fractional exponents to radicals: ![x^{\frac{m}{n}}=\sqrt[n]{x^m}](https://tex.z-dn.net/?f=%20x%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D%3D%5Csqrt%5Bn%5D%7Bx%5Em%7D%20)
<u>Looking at this rule, the denominator represents the root.</u>
Dimensions of the hallway mural:
L = x + 6, W = x - 2.
An expression is:
A ( hallway mural ) = ( x + 6 ) · ( x - 2 )
If x = 8 ft ( length of each side of the classroom ):
A ( h. m . ) = ( 8 + 6 ) · ( 8 - 2 ) =
= 14 · 6 = 84 ft²
The area of the hallway mural is 84 ft².
