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emmainna [20.7K]

2 years ago

9

A researcher is studying the growth of bacteria. He starts eith 280 of the bacteria. It grows continuously at a rate of 6% per h

our. How many bacteria will there be in 16 hours?

1 answer:

-Dominant- [34]2 years ago

7 0

$\bold{ANSWER:}$
711

$\bold{EXPLANATIONS:}$

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12 inches to millimeters

gogolik [260]

The answer is 304.8 millimetres

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2 years ago

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write the logarithm as a sum or difference of logarithms. simplify each term as much as possible. log4(6ab)

Dominik [7]

The logarithm written as a sum of logarithm and simplified as much as possible is $\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

<h3>Simplifying Logarithms</h3>

From the question, we are to write the given logarithm expression as a sum or difference of logarithms

The given logarithm is

$log_{4 }6ab$

This can be written as

$log_{4 }6 \times a \times b$

From one of the rules of logarithm, we have that

$log_{x }yz= log_{x }y + log_{x }z$

Thus,

$log_{4 }6 \times a \times b$ becomes

$log_{4 }6 + log_{4 }a + log_{4 }b$

This can be further simplified into

$log_{4 }3 \times 2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + log_{4 }2 + log_{4 }a + log_{4 }b$

If desired, this can be further simplified into

$log_{4 }3 + log_{2^{2} }2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + \frac{1}{2} log_{2}2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + \frac{1}{2} (1)+ log_{4 }a + log_{4 }b$

$\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

Hence, the logarithm written as a sum of logarithm and simplified as much as possible is $\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

Learn more on Simplifying logarithms here: brainly.com/question/17851187

#SPJ1

8 0

1 year ago

I need number 1 please and thank you

belka [17]

Answer:

It is the third one because of formula I² + 2I*II + II²

In your case I = 4x and II = 3

4 0

3 years ago

Find the slope of the line that passes through the points (2,5) and (-8,5).

balu736 [363]

Y₂-y₁
--------
x₂-x₁

=

5-5
--------
-8-2

0
-----
-10

slope = 0

3 0

3 years ago

I need help ASAP PLEASEEE!

sergeinik [125]

Answer:

<u>The</u><u> </u><u>fourth</u><u> </u><u>number</u><u> </u><u>line</u><u> </u><u>is</u><u> </u><u>the</u><u> </u><u>answer</u><u>.</u>

Step-by-step explanation:

$- 18 > - 5x + 2 \geqslant - 48 \\ ( - 18 - 2) > - 5x \geqslant ( - 48 - 2) \\ - 20 > - 5x \geqslant - 50 \\ \\ \frac{ - 20}{ - 5} > x \geqslant \frac{ - 50}{ - 5} \\ \\ 4 > x \geqslant 10$

6 0

2 years ago