Which of the following subsets of R³ are actually subspaces? (a) The plane of vectors (b1,b2,b3) with b1=b2 (b) The plane of vectors with b1=1 (c) The vectors with b1b2b3=0 .

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What is a scientific paradigm

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a scientific paradigm is is a distinct set of concepts or thought patterns, including theories, research methods, postulates, and standards for what constitutes legitimate contributions to a field.

The speed of sound is 330.0 m/s and the wave length of a particular sound wave is 33.0 meters. Calculate the frequency of the sound wave. A)11,000 Hz B)10.0 Hz C) 0.10 Hz D)9.1 x 10-5 Hz

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Answer:

B). f = 10.0 Hz

Explanation:

As we know the relation between frequency, wavelength and speed is given as

$v = f \lambda$

here we know that

$v = 330 m/s$

$\lambda = 33 m$

now in order to find the frequency of the sound we can use above relation as

$f = (v)/(\lambda)$

plug in all values in it

$f = (330)/(33)$

$f = 10 Hz$

v: velocity of wave
f: frequency
L: wavelenght

v = fL => f = v/L => f = (330)/(33) => L = 10Hz

In a parallel circuit with 3 resistors, the output voltage at the power supply is recorded to be 5 A. The current flowing through the first resistor is 1 A and the current flowing through the second resistor is .5 A. What is the current flowing through the third resistor?

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In a parallel circuit, the total power supply current is the sum of the
currents through all of the individual branches.

The output current (not the voltage) of the power supply is 5 A.
So the individual currents in the circuit branches is 5 A.

The current through the first 2 resistors is (1 + 0.5) = 1.5 A.

So the current through the 3rd resistor is (5 - 1.5) = 3.5 A.

If a 3 kg object has a momentum of 33 kg ms whats its velocity?

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Momentum = (mass) x (speed)

33 kg-m/s = (3 kg) x (speed)

Divide each side by 3 kg :

(33 kg-m/s) / (3 kg) = speed

11 m/s = speed

(You asked for velocity, but didn't give us any information about the direction
in which the object is moving. So we can only work with the speed.)

What are the 3 types of mediums that sound can travel through

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solid,liquid, gas is the answer hope it helps enjoyyyyy
!!!!!!!!!!!!!!!

paperclips are more dense than water. however, it's possible to make them float. what property of water allows this? how does this property relate to the molecular structure of water

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is it surface tension?

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