What is cell function

Answers

Answer 1

Answer:

Answer:

Cells are the basic building blocks of all living things. The human body is composed of trillions of cells. They provide structure for the body, take in nutrients from food, convert those nutrients into energy, and carry out specialized functions.

Explanation:

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There is very high humidity in your area and a cold front moving in. What would be your forecast?

Answers

Answer:

Rain

Explanation:

A cold front is of a cooler mass of air, which replaces warmer mass of air of ground level and lies within a fairly sharp surface trough of low pressure.

As your area has very high humidity and a cold front is moving in, ultimately there will be continues rainfall and it will be there until cold front has moved away.

As in a cold front, warmer air mass is replaced by cold air mass, the cold air mass will combine with humidity resulting in lots and lots of rain.

You will end up having lots of rain until the cold front goes away.

An object is released from rest at time t = 0 and falls through the air, which exerts a resistive force such that the acceleration a of the object is given by a = g bv, where v is the object's speed and b is a constant. If limiting cases for large and small values of t are considered, which of the following is a possible expression for the speed of the object as an explicit function of time? A) v = g(1-e^-bt)/b B) v = (ge^bt)/b C) v = (g+a)t/b

Answers

Answer:

A) $(g)/(b)(1-e^(-bt))$

Explanation:

Since a = g - bv,

We can substitute a = dv/dt into the equation.

Then, the equation will be like dv/dt = g - bv.

So we got first order differential equation.

As known, v = 0 at t = 0, and v = g/b at t = ∞.

Since $(dv)/(dt)= g - bv = b( (g)/(b) - v)$ ⇒ $(dv)/( (g)/(b) - v)= bdt$

So take the integral of both side.

$- ln ((g)/(b) - v) = bt + C$

Since for t=0, v = 0 ⇒ $C =- ln ((g)/(b))$

$v = (g)/(b) + e^{-bt-ln((g)/(b))} = (g)/(b)- (g)/(b)e^(-bt) = (g)/(b)(1-e^(-bt))$

The correct option for the expression of speed as an explicit function of time is option A

A) v = g·(1 - $e^{-b \cdot t$ )/b

The reason why option A is correct is given as follows;

Known:

The initial velocity of the object at time t = 0 is v = 0 (object at rest)

The function that represents the acceleration is a = g - b·v

Where;

v = The speed of the object at the given instant

b = A constant term

By considering the limiting case for time t, we have;

At very large values of t, the velocity will increase such that we have;

$\lim \limits_(t \to \infty) a = 0$ therefore, $\lim \limits_(t \to \infty) g - b\cdot v = 0$ and $\lim \limits_(t \to \infty) \left( v_(max) = (g)/(b) \right)$

The given equation can be rewritten as follows, to express the equation in terms the velocity;

$a = b \cdot \left((g)/(b) - v \right) = b \cdot \left(v_(max) - v \right)$

$Acceleration, \ a = (dv)/(dt)$

Therefore;

$(dv)/(dt) = b \cdot \left((g)/(b) - v \right)$

The above differential equation gives;

$(dv)/( \left((g)/(b) - v \right)) = b \cdot dt$

Which gives;

$\displaystyle \int\limits {(dv)/( \left((g)/(b) - v \right)) } = \int\limits {b \cdot dt} = b \cdot t + C$

$\displaystyle \int\limits {(dv)/( \left((g)/(b) - v \right)) } = -\ln \left((g)/(b) - v \right)$ and $\displaystyle\int\limits{b \cdot dt} = b \cdot t + C$

Therefore

$\displaystyle -\ln \left((g)/(b) - v \right) =b \cdot t + C$

At t = 0, v = 0, therefore;

$\displaystyle -\ln \left((g)/(b) - 0 \right) =b * 0 + C$

$C = \displaystyle -\ln \left((g)/(b) \right)$

Which gives;

$\displaystyle -\ln \left((g)/(b) - v \right) =b \cdot t \displaystyle -\ln \left((g)/(b) \right)$

$\displaystyle \ln \left((g)/(b) - v \right) =-b \cdot t \displaystyle +\ln \left((g)/(b) \right)$

$\displaystyle (g)/(b) - v = e^{-b \cdot t \displaystyle +\ln \left((g)/(b) \right)} = e^(-b \cdot t) * e^\ln \left((g)/(b) \right)} = e^(-b \cdot t) * (g)/(b)$

$\displaystyle (g)/(b) - e^(-b \cdot t) * (g)/(b) = v$

$\displaystyle (g)/(b) \cdot \left(1 - e^(-b \cdot t) \right) = v$

∴ v = g·(1 - $e^{-b \cdot t$ )/b

The correct option is option (A)

Learn more about differential equation here;

brainly.com/question/13309100

A 120-V power supply connected to a 30-ohm resistor will produce
amps of current

Answers

Answer:

4 amps

Explanation: ohms law

A ping pong ball with a mass of 2.20 grams rolls along a frictionless table with a velocity of 0.850 m/s. What is the momentum of the ping pong ball?

Answers

The momentum formula:
Momentum = Mass * Velocity
m = 2.20 g = 0.0022 kg
v = 0.850 m/s
Momentum = 0.0022 kg * 0.850 m/s
Momentum = 0.00187 kgm/s

Answer:

The momentum is actually 1.87 g m/s

Explanation:

The other answer was right however that isn't an answer to the question.

What has to be different to allow refraction to occur?a. the medium
b. the light
c. the wave
d. the speed

Answers

a. the medium

For refraction to occur, there has to be change from one medium to another. For example rays of light would refract as the travel from air to water.

Which wave top or bottom has the larger frequency

Answers

The question is simple and for the answer to the question above, it must be the bottom one because it has longer wavelengths and Because the bottom ones has 3 crests (wavelengths)
I hope my answer helped you somehow. Have a nice day!

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