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Anit [1.1K]
2 years ago
14

A culture of bacteria has an initial population of 640 bacteria and doubles every 2 hours. Using the formula P_t = P_0\cdot 2^{\

frac{t}{d}}P t =P 0
⋅2 t/d , where P_t is the population after t hours, P_0
is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 7 hours, to the nearest whole number?
Mathematics
1 answer:
IgorC [24]2 years ago
5 0

Answer:

Pt= 7240.7734 ≈ 7241

Step-by-step explanation:

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An area of a triangle is 30cm^2. Side c is 2x + 3 and side b is 4x + 5. The only angle is angle A, 30°. What is the value of x?
Sever21 [200]

Answer: x =  3.66666667

Step-by-step explanation:

3 0
3 years ago
I really need help with this i beg you !!
sweet-ann [11.9K]

Answer:

The perimeter and area of the square are 56 units and 196 square units, respectively.

Step-by-step explanation:

The inner right triangle represents a 45-45-90 right triangle, which has the feature of a hypotenuse whose length is \sqrt{2} time the length of any of its legs. If the hypotenuse has a measure of 7\sqrt{2}, then the legs of the triangle have a measure of 7.

Now, we are aware that the side length of the square is twice the length of the leg of the right triangle. Then, side length of the square is 14 units long.

Lastly, we know from Geometry that the perimeter and area of the square are represented by the following expressions:

Perimeter

p = 4\cdot l (1)

Area

A = l^{2} (2)

Where l is the side length of the square.

If we know that l = 14, then the perimeter and area of the square are, respectively:

p = 4\cdot (14)

p = 56

A = 14^{2}

A = 196

The perimeter and area of the square are 56 units and 196 square units, respectively.

7 0
2 years ago
Are all terminating and repeating decimals rational numbers?
olganol [36]

Answer:

Yes they are rational numbers

Step-by-step explanation:

Rational numbers are Any number that can be written in fraction form is a rational number. This includes integers, terminating decimals, and repeating decimals as well as fractions. ... So, any terminating decimal is a rational number.

4 0
3 years ago
Refer to the data set of body temperatures in degrees Fahrenheit given in the accompanying table and use software or a calculato
Mariulka [41]

The mean of the dataset is the average, while the median is the middle element.

  • <em>The mean and the median of the given dataset is 98.2</em>
  • <em>The results support the common belief that the mean body temperature is 98.6F</em>

<em />

The mean of the dataset is calculated using:

\bar x = \frac{\sum x}{n}

So, we have:

\bar x = \frac{99.2+ 99.2 +98.2+............+97.7}{48}

\bar x = \frac{4715}{48}

\bar x = 98.2

The median position is:

Median = \frac{1}{2}(n + 1)

Median = \frac{1}{2}(48 + 1)

Median = \frac{1}{2}(49)

Median = 24.5

This means that the median is the average of the 24th and 25th element

Using the sorted dataset, we have:

Median = \frac{1}{2}(98.2 + 98.2)

Median = 98.2

<em>Because the calculated mean and the common belief (98.6) are close, then we can conclude that the results support the common belief that the mean body temperature is 98.6F</em>

<em />

Read more about mean and median at:

brainly.com/question/17060266

7 0
2 years ago
Duru has an ice-cream stand, which she opens on days that are forecasted to be warmer than 10°C.
Amanda [17]

Answer:

P(c(t)) =  20t-120

Step-by-step explanation:

Given

P(n) = 2n - 20

C(t) = 50 + 10(t - 10)

Required

Determine P(C(t))

The implication of the question is to solve for P(C(t))

Given that

C(t) = 50 + 10(t - 10) and P(n) = 2n - 20

P(c(t)) would be

P(c(t)) = 2(50 + 10(t - 10)) - 20

P(c(t)) = 2(50 + 10t - 100) - 20

Collect Like Terms

P(c(t)) = 2(50  - 100+ 10t) - 20

P(c(t)) = 2(-50+ 10t) - 20

Open Bracket

P(c(t)) = -100+ 20t - 20

Collect Like Terms

P(c(t)) =  20t-100 - 20

P(c(t)) =  20t-120

8 0
3 years ago
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