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Alinara [238K]
3 years ago
14

If there are initially 1800 bacteria in a culture, and the number of bacteria double each hour, the number of bacteria after t h

ours can be found using the formula N=1800(2^t). About how long will it take the culture to grow to 5400 bacteria?
Mathematics
1 answer:
Nataly_w [17]3 years ago
5 0

Answer:  1.58 hours

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

5400=1800(2)^t\\\\3=2^t\\\\ln\ 3=ln\ 2^t\\\\ln\ 3=t\cdot ln\ 2\\\\\dfrac{ln\ 3}{ln\ 2}=t\\\\1.58=t

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I was told that the answer to this is -7 but I don't understand how to get there.
Amiraneli [1.4K]

Answer:

The answer to your question is: - 7

Step-by-step explanation:

                                            3125 = (- 1  - 18t) ⁵/³

                                            (3125)³ = ( -1 - 18t)⁵

                                            (3125)³/⁵ = - 1 - 18t

                                            125 = - 1 - 18t

                                            125 + 1 = - 18t

                                            126 = - 18t

                                            t = 126 / -18

                                            t = -7

3125³ = 3.0518 x 10¹⁰

\sqrt[5]{3.0518 x 10¹⁰} = 125

                       

6 0
3 years ago
Trena's jump rope is 3.5 feet
sweet [91]

Answer:

0.3 feet

Step-by-step explanation:

3.8 - 3.5 = 0.3 feet

3 0
3 years ago
2. The line that passes through the points (-6, p)
Kobotan [32]
Answer: -26=p


Explanation: The slope formula is m=(y2-y1)/(x2-x1).

Thus, we have 6=(2-p)/(-10-(-6)).

Combining the xs gives us 6=(2-p)/-4.

Multiplying both sides by -4 leaves us with -24=2-p.

We do -24-2 to isolate p and find that p=-26.
5 0
3 years ago
Compare your response to the sample response above. what did your explanation include? the conclusion that the work was incorrec
Alenkasestr [34]

In the case above, Talib work is not correct as one need to first switch x and y before one can solve for y.

<h3>What is the variables  about?</h3>

Note that:

y=-8x+4

y-4=-8x

(y-4)/-8=x

Since the independent variable x is known, one can switch the variable labels and thus it will be:

y=(x-4)/-8

f^-1(x)=(x-4)/-8    

This can be written again as:

f^-1(x)=(4-x)/8  :P

Thus one can say  No, as he forgot to switch the variable labels after solving for the independent variable.

In the case above, Talib work is not correct as one need to first switch x and y before one can solve for y.

See the first part of the question below

Talib is trying to find the inverse of the function to the right. His work appears beneath it. Is his work correct? Explain your answer.

Learn more about variable from

brainly.com/question/4063302

#SPJ1

6 0
2 years ago
Find the quotient of 3/5 and 2/3
faltersainse [42]

Answer:

9/10

Step-by-step explanation:

Dividing by a fraction is the same as multiplying by that fraction's reciprocal (basically the fraction flipped).

\frac{3}{5} ÷ \frac{2}{3} = \frac{3}{5} *\frac{3}{2} =\frac{3*3}{5*2} =\frac{9}{10}

4 0
3 years ago
Read 2 more answers
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