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Alexandra [31]
3 years ago
10

In scientific notation, (6.2 x 10^4) x (3.3 x 10^2 ) equals ____________________.

Physics
2 answers:
gregori [183]3 years ago
8 0

For this case we have the following multiplication:

(6.2 * 10 ^ 4) * (3.3 * 10 ^ 2)

For associative property, we can rewrite the expression as:

(6.2 * 3.3) * (10 ^ 4 * 10 ^ 2)

Then, by properties of exponents we have:

In the multiplication, if we have the same base, the exponents are added.

Therefore, by rewriting the expression we have:

(6.2 * 3.3) * (10 ^{4 + 2})

Finally:

(20.46) * (10 ^ 6)

Then, we rewrite the result correctly in scientific notation.

To do this, we move the point one space to the left and increase the degree of the exponent one unit:

2.046 * 10 ^ 7

Answer:

In scientific notation, (6.2 * 10 ^ 4) * (3.3 * 10 ^ 2) equals2.046 * 10 ^ 7

castortr0y [4]3 years ago
5 0
You will get 20460000 as your answer which is broken down into, 2.046 x 10^7 as your number has to be between 1-10.
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Pls help with all questions dew in 10 minutes!
Artyom0805 [142]
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5 0
3 years ago
A mass weighing 32 pounds stretches a spring 2 feet. Determine the amplitude and period of motion if the mass is initially relea
grandymaker [24]

A mass weighing 32 pounds stretches a spring 2 feet.

(a) Determine the amplitude and period of motion if the mass is initially released from a point 1 foot above the equilibrium position with an upward velocity of 6 ft/s.

(b) How many complete cycles will the mass have completed at the end of 4 seconds?

Answer:

A = 1.803 ft

Period = \frac{\pi}{2} seconds

8 cycles

Explanation:

A mass weighing 32 pounds stretches a spring 2 feet;

it implies that the mass (m) = \frac{w}{g}

m= \frac{32}{32}

= 1 slug

Also from Hooke's Law

2 k = 32

k = \frac{32}{2}

k = 16 lb/ft

Using the function:

\frac{d^2x}{dt} = - 16x\\\frac{d^2x}{dt} + 16x =0

x(0) = -1        (because of the initial position being above the equilibrium position)

x(0) = -6          ( as a result of upward velocity)

NOW, we have:

x(t)=c_1cos4t+c_2sin4t\\x^{'}(t) = 4(-c_1sin4t+c_2cos4t)

However;

x(0) = -1 means

-1 =c_1\\c_1 = -1

x(0) =-6 also implies that:

-6 =4(c_2)\\c_2 = - \frac{6}{4}

c_2 = -\frac{3}{2}

Hence, x(t) =-cos4t-\frac{3}{2} sin 4t

A = \sqrt{C_1^2+C_2^2}

A = \sqrt{(-1)^2+(\frac{3}{2})^2 }

A=\sqrt{\frac{13}{4} }

A= \frac{1}{2}\sqrt{13}

A = 1.803 ft

Period can be calculated as follows:

= \frac{2 \pi}{4}

= \frac{\pi}{2} seconds

How many complete cycles will the mass have completed at the end of 4 seconds?

At the end of 4 seconds, we have:

x* \frac{\pi}{2} = 4 \pi

x \pi = 8 \pi

x=8 cycles

5 0
3 years ago
A motor does 5,500 joules of work in 25 seconds. What is the power of the motor?
Lady bird [3.3K]

Answer:

220W

Explanation:

power(w) = work done (J) ÷ time(s)

x= 5500J ÷ 25s = 220W

8 0
3 years ago
Which of the following statements concerning statistical probability is not true? A. Probability involves the level of certainty
Leto [7]
The answer to this is D. Probability levels for finding statistical significance increase as statistical power decreases. The statement concerning statistical probability is not true as this is d.

I hope this helps!
8 0
3 years ago
Read 2 more answers
An analog-to-digital converter is a device that can be used with a microphone to take in an audio wave (an analog signal). The d
Stells [14]

Answer:

Answer C <em>It is stored as a series of ones and zeros because it was converted to binary data.</em>

Explanation:

After the Analog to Digital Converter (ADC) the data is stored in a series of numbers encoded in binary mode (combinations of Zeros and Ones).

This agrees with answer labeled as C) in the list of options.

4 0
3 years ago
Read 2 more answers
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