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grandymaker [24]
3 years ago
12

Suppose that the number of bacteria in a certain population increases according to an exponential growth model, with a growth ra

te of 19% per hour. Suppose also that a sample culture of 2300 bacteria is obtained from this population. Find the size of the sample after five hours. Round your answer to the nearest integer.
Mathematics
1 answer:
podryga [215]3 years ago
4 0

Answer: 5489

Step-by-step explanation:

Given the following :

Growth rate (r) = 19% per hour

Sample culture in population = 2300

Size of sample after 5 hours =?

Using the exponential relation:

P = Po * r^t

P = population after 5 hours

Po = Initial sample population

t = time

P = 2300 * (1 +19%)^t

P = 2300 ×(1 + 0.19) ^5

P = 2300 * 1.19^5

P = 2300 * 2.3863536599

P = 5488.61341777

P = 5489 (nearest integer)

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Answer:

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5 0
3 years ago
\large -\frac{2}{3}x+3=\frac{2}{3}x+\frac{1}{3}
german

Answer:

\boxed {x = 2}

Step-by-step explanation:

Solve for the value of x:

-\frac{2}{3}x + 3 = \frac{2}{3}x + \frac{1}{3}

-Take \frac{2}{3}x and subtract it from -\frac{2}{3}x:

-\frac{2}{3}x + 3 -\frac{2}{3}x = \frac{2}{3}x - \frac{2}{3}x + \frac{1}{3}

-\frac{4}{3}x + 3 = \frac{1}{3}

-Subtract both sides and convert 3 to a fraction:

-\frac{4}{3}x + 3 - 3 = \frac{1}{3} - 3

-\frac{4}{3}x  = \frac{1}{3} - \frac{9}{3}

Since both \frac{1}{3} and \frac{9}{3} have the same denominator, then you would subtract the numerator:

-\frac{4}{3}x  = \frac{1 - 9}{3}

-\frac{4}{3}x  = \frac{8}{3}

-Multiply both sides by -\frac{3}{4}, which is the reciprocal of -\frac{4}{3}:

x = \frac{8}{3} (-\frac{3}{4})

x = \frac{-8(-3)}{3 \times 4}

x = \frac{24}{12}

-Divide 24 by 12:

x = \frac{24}{12}

\boxed {x = 2}

So, therefore, the value of x is 2.

5 0
3 years ago
Mr. haigwood is shopping for a school picnic . veggie burgers comes in packages of 15 and buns come in packages of 6. he wants t
sveta [45]
No, to find the least number of burgers and buns, you should find out the LCM of 15 and 6, not their product.

LCM = 30,
so they need to buy atleast 30 of each item.
8 0
3 years ago
Read 2 more answers
A sum of Rs.750 is in the form of denominations of Rs.50 and Rs.100. If the number of 100-rupee notes is twice the number of 50-
Naddik [55]

Answer:

100 rupee notes= 6, 50 rupee notes=3

Step-by-step explanation:

3 x 50 = 150

6 x 100 = 600

600 + 150 = 750

and 3 x 2 = 6, so the amount of 100 rupee notes are twice the amount of 50 rupee notes.

Hope this helps :)

5 0
3 years ago
Represent the following expressions in exponential form​
Yakvenalex [24]

Answer:

You need to add the expressions. When you do I will edit my answer and give it to you.

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3 years ago
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