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3 years ago

(0.2c^3)^2–0.01c^4(4c^2–100)

Mathematics

2 answers:

Dennis_Churaev [7]3 years ago

7 0

Answer: c⁴

<u>Step-by-step explanation:</u>

(0.2c³)² - 0.01c⁴(4c² - 100)

= (0.2)²(c³)² - (0.01)(4)(c⁴)(c²) - (0.01)(-100)(c⁴)

= 0.04c⁶ - 0.04c⁶ + 1c⁴

= 0 + c⁴

= c⁴

Debora [2.8K]3 years ago

3 0

The answer should be C^4

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A colony of bacteria is grown under ideal conditions in a laboratory so that the population increases exponentially with time. A

Naddik [55]

Answer:

Initial bacterias = 6006000

Altought I believe is safe to assume that the values were 192,000 and 384,000 instead of 192,192,000 and 384,384,000, in that case the initial bacterias is 6000

Step-by-step explanation:

A exponential growth follows this formula:

Bacterias = C*rⁿ

C the initial amount

r the growth rate

n the number of time intervals

Bacterias (55 hours) = 192,192,000

Bacterias (66 hours) = 384,384,000

$Bacterias(55hours)=C*r^{{\frac{55-t}{t}}} \\Bacterias (66hours) = C*r^{\frac{66-t}{t}}}$

If you divide both you can get the growth rate:

$\frac{Bacterias (66hours)}{Bacterias(55hours)}=\frac{C*r^{\frac{66-t}{t}}}{C*r^{{\frac{55-t}{t}}}} \\\frac{384,384,000}{192,192,000} =r^{\frac{66-t}{t} -\frac{55-t}{t} } \\2 =r^{\frac{11}{t}}$

So with that r = 2 and each time interval correspond to 11 years

Then replacing in one you can get the initial amount of C

$Bacterias (55hours)=C*2^{\frac{55-11}{11} } 192,192,000 = C*32\\C= 6006000$

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3 years ago

A company recently downsized its number of employees by 30%. If there are still 70 employees, how many employees were there pr

wolverine [178]

Hello there! Given there are 70 employees after downsizing by 30%, let x equal the number of employees prior to the layoffs:

70 would have to be 70% of x.

To find what 70 is 70% of, we can multiply by 100 because 100 is the base denominator:

70 • 100 = 7,000

Given this equation, we can now divide our result by 70 to get what the amount of employees before the layoffs is:

7,000 divided by 70 gives us 100.

x = 100

Now, we can plug our answer in to see if it makes sense.

Does 70/100 represent 70%?

Yes, it does. 70/100 reduces to 7/10, and by adding 3/10 to our 70%, we get the initial amount of employees.

Your final answer: There were 100 employees prior to the layoffs. If you have any extra questions, let me know and I will gladly assist you.

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1 year ago

State the slope and y-intercept for the graph of the equation -8x + y = -12.

irina [24]

Answer:

Slope is 8 and Y-Intercept is -12

Step-by-step explanation:

Move the -8x over to the right side by adding it, You are now at

y=-12+8x

Move these around and you are now at

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