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blsea [12.9K]
3 years ago
7

A science experiment begins with a bacterial population of 12. After 1 hour, the population is 18. After 2 hours, the population

is 27. Which best describes the relationship between the time, in hours, and the population of the bacteria? What is the y-intercept of the function? What is the rate of change of the function?
Mathematics
2 answers:
Dahasolnce [82]3 years ago
7 0

Answer:

the first one is "exponential"

then "12"

the last one is "multiply 1.5"

kvasek [131]3 years ago
3 0
So it starts with 12 in the bacterial population. After 1 hour, 6 are added. After another hour passed, 9 are added. 12/1, 18/6, 27/9.


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Determine weather randomly picking a blue card from a bag containing all blue cards is impossible, unlikely, as likely as not, l
Anuta_ua [19.1K]

Answer:

The correct answer is certain with probability equal to 1.

Step-by-step explanation:

Probability is a mathematical framework which helps us to analyze chance of the outcome in a particular experiment. The value of probability is given by the ratio of the possible outcomes favorable to a certain experiment to the total outcomes.

We say an event is certain when the probability is 1 and the probability is zero when the event is uncertain.

Here the experiment is picking a blue card from a bag containing all blue cards.

Possible outcomes are all the cards colored blue in the bag.

Total outcomes are also all the blue cards in the bag.

∴ The value of probability is 1 as the event is certain because if we pick a card from the bag containing only blue cards, it would certainly give us a blue card.

5 0
3 years ago
The difference of the present ages of two sister in 5 yrs
Gekata [30.6K]

Answer:

4 and 9

Step-by-step explanation:

let their ages be x and x - 5, then in 4 years their ages will be

x + 4 and x - 5 + 4 = x - 1 , and the product is 104, thus

(x + 4)(x - 1) = 104 ← expand factors on left using FOIL

x² + 3x - 4 = 104 ( subtract 104 from both sides )

x² + 3x - 108 = 0 ← in standard form

(x + 12)(x - 9) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 12 = 0 ⇒ x = - 12

x - 9 = 0 ⇒ x = 9

However, x > 0 ⇒ x = 9

Thus

Their present ages are 9 and 9 - 5 = 4

4 0
3 years ago
Jose' traveled from his home in Ocala to Gainesville. Gainesville is 37 miles
Alja [10]

Answer:

The integer -37 represents the direction and the distance covered by Jose from Gainesville to Ocala.

Step-by-step explanation:

The direction is represented by the sign that accompanies the distance, since Jose is returning from Gainesville, then the direction must represented by a minus sign (-), since he is travelling southwards. The distance is the magnitude of the length covered by Jose during his return. Hence, distance is represented by the natural number 37.

Finally, the integer -37 represents the direction and the distance covered by Jose from Gainesville to Ocala.

7 0
3 years ago
1/6+4/18 in simplest form
lorasvet [3.4K]

Answer:

7/18

Step-by-step explanation:

1/6 x 3 = 3/18

3/18 + 4/18 = 7/18

8 0
3 years ago
Read 2 more answers
The variables x and y vary directly. Use the given values to write an equation that relates x and y: x = 4, y = -16
Gnesinka [82]

Vary Directly: y = k*x

Vary Inversely:  y = k/x

Because x and y vary directly, our equation will look like the first one.

y = k*x

With the inputted values:

-16 = k * 4

Now, to find k, isolate the variable

k = -16/4 = -4

Your final equation will then look like this:

y = -4 * x

4 0
3 years ago
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