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Dimas [21]
3 years ago
9

A colony of bees doubles in size every month. If there are initially 5000 bee, create a model for the bee population

Mathematics
1 answer:
Temka [501]3 years ago
3 0

we know that the colony is doubling, namely the rate of growth is 100% of whatever is existent, thus

\textit{Amount of Population Growth} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &5000\\ r=rate\to 100\%\to \frac{100}{100}\dotfill &1\\ t=\textit{elapsed time}\dotfill &t\\ \end{cases} \\\\\\ A = 5000e^{1\cdot t}\implies \boxed{A = 5000e^t}

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Need help solving this question please.
jok3333 [9.3K]

Answer: b) they loaded 112356 lbs of cargo

Step-by-step explanation:

When a boat or an object floats in water, the volume of water that it displaces is equivalent to its weight.

When moving into the port, the cargo boat displaced 2200 ft³ of water. Since the density of water is 62.42 lb/ft³ and mass = density × volume, then the mass of the cargo boat on entering the port is

2200 × 62.42 = 137324 lbs

On leaving the port, it displaces 4000 ft³ of water. The mass of the cargo boat on leaving the port is

4000 × 62.42 = 249680 lbs

The difference in both masses is

249680 - 137324 = 112356 lbs

Therefore, they loaded 112356 lbs of cargo

4 0
3 years ago
Find the equation of line passing through points A (1, 3) and B (3, 7).
Sidana [21]

Solution:

To find the equation of line passing through points A (1, 3) and B (3, 7).

we know that, to derive the equation of a line we first need to calculate the slope of the line. Slope m of a line at points (x_{1} ,y_{1}) and (x_{2}, y_{2}) is given by - m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}.

Slope of the line at point A(1,3) and B(3,7)

m=\frac{7-3}{3-1}.

m=\frac{4}{2}.

m=2.

Equation of a line using a point and a slope , y-y_{1}= m(x-x_1)

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y-3= 2x-2

y= 2x-2+3

y= 2x+1

The equation of line passing through points A (1, 3) and B (3, 7) : y= 2x+1

4 0
3 years ago
Slope of -1,0 and 10,18
steposvetlana [31]

You should find the slope using (y2 - y1) / (x2 - x1) = m

m = (18 - 0) / (10 - (-1))

m= 18 / 11

Therefore the slope is 18/11

6 0
3 years ago
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aliina [53]
The answer is 192sq.cm.
REASONING: This would be by multiply the length by the height in order to get the area. 12*19 is equal to 192.
PLEASE MARK BRAINIEST!! Have a good day!
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You design a tree house using a coordinate plane in which the coordinates are measured in feet. The vertices of the floor are (-
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Answer:

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Step-by-step explanation:

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