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Function P(t)=1216/(1+75e^-0.03t<br> 1. Initial population?

Stella [2.4K]

The initial population is 1216

4 0

3 years ago

Define sociology of culture can you write 4 paragraph

iogann1982 [59]

The sociology of culture, and the related cultural sociology, concerns the systematic analysis of culture, usually understood as the ensemble of symbolic codes used by a member of a society, as it is manifested in the society.

Among sociologists, “culture” just as often refers to the beliefs that people hold about reality, the norms that guide their behavior, the values that orient their moral commitments, or the symbols through which these beliefs, norms, and values are communicated.

Culture encompasses human elements beyond biology: for example, our norms and values, the stories we tell, learned or acquired behaviors, religious beliefs, art and fashion, and so on.

Sociology of culture is important because culture influences people's beliefs and behaviors, culture is a key concept to the sociological perspective. Many sociologists are wary of biological explanations of behavior, in part because these explanations implicitly support the status quo and may be used to justify claims of biological inferiority.

7 0

3 years ago

Read 2 more answers

Typically most merit based aid scholarships are offered to students based on

attashe74 [19]

They are offered to students based on their GPAs; one way of measuring merit in schools.

5 0

4 years ago

Read 2 more answers

Under which of the following conditions must an accident report be filed with the Florida Fish and Wildlife Conservation Commiss

ra1l [238]

The answer is D. Hope this helps.

4 0

4 years ago

A cake has two layers. Each layer is a regular hexagonal prism. You cut and remove a slice that takes away one face of each pris

Ivan

Answer:

Volume of slice is approximately 40 in³

Volume of the remaining cake is 197.014 in³

Explanation:

Here we have two regular hexagons

one top small hexagon cake with side length = 3 in, height = 3 in

One big hexagon cake, side length = 4 in, Height = 4 in

A slice cut such the it removes a side segment is equivalent to an equilateral triangle with side length = length of hexagon side

Also all angles within the equilateral triangle are 60° each

Therefore, the length of the side of the removed equilateral triangle side is given as follows;

Top small cake slice triangle side = 3 in.

Area of surface of small slice = $\frac{1}{2} \times Base \times Height = \frac{1}{2} \times 3 \times 3\times sin(60) = \frac{1}{2} \times 3 \times 3 \times \frac{\sqrt{3} }{2} = \frac{9\sqrt{3} }{4}$

Volume of small slice = Area of surface small slice × Height of small cake

= $\frac{9\sqrt{3} }{4} \times 3 = \frac{27\sqrt{3} }{4} =11.69 \ in^3 \approx 12 \ in^3$

For the big cake, we have;

Big cake slice triangle side = 4 in.

Area of surface of big slice = $\frac{1}{2} \times Base \times Height = \frac{1}{2} \times 4 \times 4\times sin(60) = 8 \times \frac{\sqrt{3} }{2} = 4\sqrt{3}$

Volume of big slice = Area of surface of big slice × Height of big slice

= $4\sqrt{3} \times 4 = 16\sqrt{3} =27.71 \ in^3 \approx 28 \ in^3$

Total volume of slice = Volume of small slice + Volume of big slice

Total volume of slice = 12 in³ +28 in³ = 40 in³

The volume of the remaining cake can be found by noting that there were 6 possible slices of cake based on the 6 sides of the hexagon, since we removed 1 slice, the remaining 5 slices will have a volume given by multiplying the volume of 1 slice by 5 as follows;

For the small cake, the remaining volume = $5 \times \frac{27\sqrt{3} }{4} = 5 \times 11.69 \ in^3 = 58.45 \ in^3$

For the big cake the remaining volume = $5 \times 16\sqrt{3} = 5 \times 27.71 \ in^3 = 138.56 \ in^3$

Total volume remaining cake = 58.45 in³ + 138.56 in³ = 197.014 in³

Together with the above way to find the volume of slice of cake, the volume of the slice can also be found by considering that the cake, with a shape of a regular hexagon is made up of 6 such slices. Therefore, if the volume of a regular hexagon is as follows;

$Volume\, of \, regular \, hexagon, \ A = \frac{3\sqrt{3} }{2} a^2 \times h$

Where:

a = Length of side

h = Height of hexagon

The volume of each slice is therefore,

$\frac{Volume\, of \, regular \, hexagon, \ A }{6} =\frac{ \frac{3\sqrt{3} }{2} a^2 \times h}{6} = a^2 \times h \times \frac{3\sqrt{3} }{12} = a^2 \times h \times \frac{\sqrt{3} }{4}$