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Shalnov [3]
3 years ago
10

which of the following expressions is written in scientific notation? 0.3 • 104 2 • 10-5 10 • 103 12 • 10-3

Mathematics
1 answer:
netineya [11]3 years ago
8 0

Answer:

option (2) is correct.

2 \cdot 10^{-5} is in the scientific notation form.

Step-by-step explanation:

Given: Some expressions

1) \ 0.3 \cdot 10^4\\\\ 2) \ 2 \cdot 10^{-5}\\\\ 3) \ 10 \cdot 10^3\\\\ 4) \ 12 \cdot 10^{-3}\\\\

We have to choose which expressions is written in scientific notation.

For an expression to be in scientific notation the  most important requirement   is that the whole number is between 1 and 10, but not including 10.

that is  a\cdot 10^{n} , 1 ≤ a < 10 and n is integer.

Thus, out of given only 2 \cdot 10^{-5} is in the scientific notation form.

Thus, option (2) is correct.

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6 0
3 years ago
Which ratio correctly compares 2 feet to 48 inches, when the lengths are written using the same units?
guajiro [1.7K]

Answer: OPTION D

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

- Convert from 48 inches to foot. You know that 12 inches=1 foot. Then you have:

 (48inches)(\frac{1foot}{12inches})=4feet

- Therefore, keeping on mind that 48 inches is 4 feet, and you must find the ratio that  correctly compares 2 feet to 48 inches, you can write:

ratio=\frac{2feet}{4feet}

- Reduce the fraction, then:

ratio=\frac{1}{2}

- You can rewrite it as following:

ratio=1:2

3 0
3 years ago
Round final answers to 3 decimal places.
irina [24]

There are 651.335 million cells in the petri dish after 11 hours and the cells will reach 1 billion cells after 14.068 hours

<h3>How to determine the number of cells after 11 hours?</h3>

The given parameters are:

At t = 0, Bacteria = 140 million

At t = 6, Bacteria = 320 million

This can be represented as:

f(0) = 140

f(6) = 320

An exponential function is represented as:

f(t) = f(0) * r^t

When t = 6, we have:

320 = 140 * r^6

Divide both sides by 140

r^6 = 2.28571428571

Take the 6th root of both sides

r = 1.15

So, we have:

f(t) = f(0) * 1.15^t

Substitute f(0) = 140

f(t) = 140 * 1.15^t

After 11 hours, we have:

f(11) = 140 * 1.15^11

Evaluate

f(11) = 651.33

Hence, there are 651.335 million cells in the petri dish after 11 hours

Time to reach 1 billion cells

This means that

f(t) = 1 billion i.e. 1000 million

So, we have:

1000 = 140 * 1.15^t

Divide by 140

1.15^t = 7.14285714286

Take the logarithm of both sides

t * log(1.15) = log(7.14285714286)

Divide both sides by log(1.15)

t = 14.068

Hence, the cells will reach 1 billion cells after 14.068 hours

Read more about exponential functions at:

brainly.com/question/2456547

#SPJ1

6 0
1 year ago
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