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1 year ago

A colony of 100 bacteria doubles in size every 60 hours what will the population be 180 hours from now

Mathematics

1 answer:

EleoNora [17]1 year ago

6 0

Answer:

20 hours thank you very much

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Which of the following equations represents a hyperbola with a vertical transverse axis and foci at (0, −10) and (0, 10)?

Taya2010 [7]

Answer: A

Step-by-step explanation:

5 0

2 years ago

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How do you integrate arctan(x dx? i think that if you simplify the integral you get:?

Temka [501]

Integration by parts will help here. Letting $u=\arctan x$ and $\mathrm dv=\mathrm dx$ , you end up with $\mathrm du=\dfrac{\mathrm dx}{1+x^2}$ and $v=x$ . Now

$\displaystyle\int\arctan x\,\mathrm dx=uv-\int v\,\mathrm du$
$\displaystyle\int\arctan x\,\mathrm dx=x\arctan x-\int\frac x{1+x^2}\,\mathrm dx$

For the remaining integral, setting $y=1+x^2$ gives $\dfrac{\mathrm dy}2=x\,\mathrm dx$ , so

$\displaystyle\int\frac x{1+x^2}\,\mathrm dx=\frac12\int\frac{\mathrm dy}y=\frac12\ln|y|+C=\frac12\ln(1+x^2)+C$

Putting everything together, you end up with

$\displaystyle\int\arctan x\,\mathrm dx=x\arctan x-\frac12\ln(1+x^2)+C$

6 0

2 years ago

Matter is in a liquid state when its temperature is between its melting point and its boiling point. Suppose that some substance

alexgriva [62]

Answer:

96.512 °F < x < 591.242 °F

Step-by-step explanation:

We are given;

Melting point = 35.84 °C

Boiling point = 310.69 °C

Now, we are given that formula to convert °C to °F is;

°C = (5/9)°F

Thus if the temperature in Fahrenheit is x, then;

Melting point is; 35.84 °C = (5/9)x°F - "32"

x = ((9 × 35.84)/5) + 32

x = 96.512 °F

Similarly, for Boiling point;

Boiling point is;

310.69 °C = (5/9)x°F - "32"

x = ((9 × 310.69)/5) + 32

x = 591.242 °F

Now, we are told that matter is in its liquid form when it is between melting and boiling point.

Thus, range of x in inequality form is;

96.512 °F < x < 591.242 °F

6 0

2 years ago

In an experiment, the population of bacteria is increasing

Nezavi [6.7K]

25 million

number of bacteria doubles every minute

6 0

2 years ago

The equation y = 16 - 2x represents the amount y (in ounces) of trail mix remaining after you eat x servings.

BlackZzzverrR [31]

Answer:

a) x is the independent and y in the dependent

b) y=4

Step-by-step explanation:

b.) How much of the trail mix remains after you eat 6 servings?

Substitute 6 into the x variable.

y=16-2(6)

y=4

5 0

2 years ago