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3 years ago

2400000 in standard form?

Mathematics

2 answers:

uysha [10]3 years ago

8 0

2400000 would be 2.4x10^6 (2.4x10 to the power of 6)

Viefleur [7K]3 years ago

4 0

Answer: $2.4\times10^6$

Step-by-step explanation:

To write 2,400,000 in standard from which is 7 digit number then its base(10) will have power 7-1 =6 and coefficient =2.4

$2400000=2.4\times10^6$

Standard form also known as Scientific Notation which is a way to write a very large or a very small number in the product of a decimal form of number [generally between 1 and 10] and powers of ten.

$b\times10^n$

where, b= coefficient

n=Power or exponent

10 is the base

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A bacteria population experiences continuous growth. If there were 2,000 bacteria present at the start of an experiment, how lon

allochka39001 [22]

Answer:

D. About 15.69 hours.

Step-by-step explanation:

Let x be the number of hours.

We have been given that there were 2,000 bacteria present at the start of an experiment and the growth rate was 7% per hour.

Since number of bacteria is growing exponentially, so we will use exponential growth function to solve our given problem.

The continuous exponential growth formula is in form: $y=e^{kx}$ , where,

e= mathematical constant,

k = Growth rate in decimal form.

Let us convert our given rate in decimal form.

$7\%=\frac{7}{100}=0.07$

Upon substituting our given values we will get exponential function for bacteria growth as: $y=2,000*e^{0.07x}$ , where, y represents number of bacteria after x hours.

Since we need to figure out the number of hours it will take for there to be 6,000 bacteria, so we will substitute y= 6,000 in our function.

$6,000=2,000*e^{0.07x}$

Let us divide both sides of our equation by 2,000.

$\frac{6,000}{2,000}=\frac{2,000*e^{0.07x}}{2,000}$

$3=e^{0.07x}$

Let us take natural log of both sides of our equation.

$\text{ln}(3)=ln(e^{0.07x})$

$\text{ln}(3)=0.07x$

$1.0986122=0.07x$

$x=\frac{1.0986122}{0.07}$

$x=15.69446\approx 15.69$

Therefore, it will take about 15.69 hours to be 6,000 bacteria and option D is the correct choice.

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Answer:

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