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andrezito [222]
3 years ago
13

The number of bacteria present in a culture after t minutes is given as b=1000e^kt where k is a constant. If there are 8520 bact

eria present after 15 minutes, find k and round to the nearest thousandth. a. 0.143 c. 2.143 b. 32.136 d. 0.13
Mathematics
1 answer:
Kryger [21]3 years ago
6 0

To solve this problem, plug 8250 in for b and 15 in for t and then solve for k:

8250=1000e^{15k}

<em>*Divide both sides by 1000*</em>

8.25=e^{15k}

<em>*Take the natural log (ln) of both sides*</em>

2.1102=15k

<em>*Divide both sides by 15*</em>

0.1406=k


0.1406 rounds to 0.141 which is close to a. 0.143.


Hope this helps!!

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Identify the like terms pairs; select all that apply.<br> 8r + 3s + 8 – 3s – 4r
Makovka662 [10]

8r and 4r are like terms since they both have an r

also 3s and -3s are also like terms because of the s

5 0
3 years ago
What is the probability of choosing a face card from a deck of playing cards?​
Vedmedyk [2.9K]

Answer:

3/13.

Step-by-step explanation:

There are 12 face cards: 3 of each of the 4 suits.

Since there are 52 cards in one deck, 12/52 = 3/13.

6 0
3 years ago
Read 2 more answers
Joaquin has $1,300 in the bank and has investments worth $4,000. He also has $7,000 worth of credit card debt. What is Joaquin's
svetlana [45]
The answer to this question would be: <span>-$1,700

In this question, we can separate the account into positive/debit and negative/credit value. The positive/debit value should be:

Joaquin has $1,300 in the bank
He has $4,000 worth of investment
Total positive value = $1300 + $4000= $5300

The negative value should be 
</span><span>$7,000 worth of credit card debt
</span>Total positive value =$7000
<span>
Then the net worth should be: $5300 - $7000= -$1700</span>
7 0
3 years ago
4. 46 is what percent of 69?
sergij07 [2.7K]

Answer:

66%(technically 0.66 repeating)

Step-by-step explanation:

We need to figure out what percentage of 69 equates to 46. In other words, we need to figure out what percentage <u>times</u> 69 equals 46:

percentage*69 = 46

Now that we formed this equation, we can solve for the percentage as if it was x.

First lets simplfy:

percentage*69 = 46 -- > 69percentage = 46

Now we can solve for x just by getting x alone, which means we must remove the coefficent. We can do this by dividing both sides of the equation by 69:

percentage = \frac{46}{69}

=

percentage=0.66

Putting this into the form of percentage, we must multiply by 100. Since, the percentage form of a decimal is 100 times bigger(moved up 2 decimal places):

percentage = 0.66*100

=

percentage = 66%

Hope this helps! :3

4 0
2 years ago
Ross chose a card at random from a deck of 52 cards. Ross replaced the card and then chose a second card. What is the probabilit
DaniilM [7]

Answer:

\frac{1}{208}

Step-by-step explanation:

We have been given that Ross chose a card at random from a deck of 52 cards. Ross replaced the card and then chose a second card.

Let us find probability of getting a club.

\text{ Probability of getting a club}=\frac{13}{52} =\frac{1}{4}

Now let us find probability of getting the ace of spades.

\text{ Probability of getting ace of spades}=\frac{1}{52}

Now let us multiply these to find probability of getting a club and ace of spades.      

\text{ Probability of getting a club and then ace of spades}=\frac{1}{4}*\frac{1}{52}=\frac{1}{208}

Therefore, probability of getting a club and then the ace of spades \frac{1}{208}.

8 0
3 years ago
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