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4 years ago

A particular bacterial colony doubles its population every 15 hours. A scientist running an experiment is starting with 100

Mathematics

2 answers:

BigorU [14]4 years ago

8 0

Answer:

24 hours

24 hours is the solution to 300=10(2)^t/15

masya89 [10]4 years ago

7 0

Answer:

Step-by-step explanation:

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A student solves the following equation and

Phoenix [80]

Answer:

Since the equation is undefined for -2

Therefore, NO SOLUTION for the given equation.

Step-by-step explanation:

Considering the expression

$\frac{3}{a+2}-6\cdot \frac{a}{-4+a^2}=\frac{1}{a-2}$

$\frac{3}{a+2}-\frac{6a}{-4+a^2}=\frac{1}{a-2}$

$\mathrm{Find\:Least\:Common\:Multiplier\:of\:}a+2,\:-4+a^2,\:a-2:\quad \left(a+2\right)\left(a-2\right)$

$\mathrm{Multiply\:by\:LCM=}\left(a+2\right)\left(a-2\right)$

$\frac{3}{a+2}\left(a+2\right)\left(a-2\right)-\frac{6a}{-4+a^2}\left(a+2\right)\left(a-2\right)=\frac{1}{a-2}\left(a+2\right)\left(a-2\right)$

$\frac{3}{a+2}\left(a+2\right)\left(a-2\right):\quad 3\left(a-2\right)$

$-\frac{6a}{-4+a^2}\left(a+2\right)\left(a-2\right):\quad -6a$

$\frac{1}{a-2}\left(a+2\right)\left(a-2\right):\quad a+2$

so equation becomes

$3\left(a-2\right)-6a=a+2$

$-3a-6=a+2$

$-3a-6+6=a+2+6$

$-4a=8$

$\mathrm{Divide\:both\:sides\:by\:}-4$

$\frac{-4a}{-4}=\frac{8}{-4}$

$a=-2$

$\mathrm{Verify\:Solutions}$

$\mathrm{Take\:the\:denominator\left(s\right)\:of\:}\frac{3}{a+2}-6\frac{a}{-4+a^2}-\frac{1}{a-2}\mathrm{\:and\:compare\:to\:zero}$

$\mathrm{Solve\:}\:a+2=0:\quad a=-2$

$\mathrm{Solve\:}\:-4+a^2=0:\quad a=2,\:a=-2$

$\mathrm{Solve\:}\:a-2=0:\quad a=2$

So the following points are undefined

$a=-2,\:a=2$

Since the equation is undefined for -2

Therefore, NO SOLUTION for the given equation.

4 0

3 years ago

Round 614,594 to the nearest ten thousand?

MrMuchimi

Answer:

610,000

Step-by-step explanation:

14,000 would be the nearest ten thousandth but its is not over 15,000 so it would round down to 10,000 making the answer 610,000.

7 0

4 years ago

Suppose Tommy walks from his home at (0, 0) to the mall at (0, 8), and then walks to a movie theater at (6, 8). After leaving th

stiv31 [10]

Answer:

He walks 28 blocks.

Step-by-step explanation:

0,0 to 0,8 is 8 blocks

0,8 to 6,8 is 6 blocks

6,8 to 6,0 is 8 blocks

returning home (6,0 to 0,0) is 6 blocks

8+6+8+6=28 blocks

6 0

4 years ago

Did you ever made a risky challenge?why?how did you handle it?

Fofino [41]

I made a risky challenge because I wanted to make a joke. I handled it by just taking it truthfully and just say that it was a joke.

4 0

4 years ago

Question 3

vitfil [10]

Answer:

Step-by-step explanation:

No there parallel

8 0

3 years ago