MATHEMATICS HIGH SCHOOL

A sine function can be used to model light waves. Green light has a wave length, or period of about 510 nm . which equation best models green light? a. y= sin pi/510 theta b. y= sin pi/255 theta c. y= sin 510/pi theta d. sin 255/pi theta

Answers

Answer 1

Answer:

Answer:

$y=\sin((\pi \theta)/(255))$

B is correct.

Step-by-step explanation:

A sine function can be used to model light waves. Green light has a wave length, or period of about 510 nm .

Equation of sine wave:

$y=\sin(ax)$

As we know the period of sine function is 2π

Period of this function $y=\sin(ax)$ is 2π/a

We are given the period of function is 510

Thus, $510=(2\pi)/(a)$

Now we will solve for a

$a=(2\pi)/(510)$

$a=(\pi)/(255)$

Required equation: $y=\sin((\pi \theta)/(255))$

Hence, The equation for best models green light is $y=\sin((\pi \theta)/(255))$

Answer 2

Answer: A sine function can be used to model light waves. Green light has a wave length, or period of about 510 nm. The equation that best models green light is y= sin 510/pi theta. The answer is letter C.

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Convert 15 years to seconds

Answers

1 hour = 3600 s
1 day = 24 hours = 24 x 3600 = 86400 seconds

1 day ...... 86400 seconds
365 days ..... t seconds

t= 365 x 86400 /1 = 31536000

So, we have 31536000 seconds in 365 days. => 31536000 seconds = 1 year

--------------------------------------------------------------

1 year ........ 31536000 seconds
15 years .......... z seconds

z = 15 x 31536000 / 1
z= 473040000

So, 15 years = 473040000 seconds !!!!!!
Done.

How many grams are in 40 hectograms?

Answers

In this case, 40 hectograms is equal to 4000 grams.

To convert hectograms to grams, we need to know that 1 hectogram (hg) is equal to 100 grams (g).

Now, let's calculate the number of grams in 40 hectograms:

1 hectogram = 100 grams

Therefore, 40 hectograms will be:

40 hectograms = 40 * 100 grams

40 hectograms = 4000 grams

So, there are 4000 grams in 40 hectograms.

In summary, to convert hectograms to grams, we use the conversion factor of 1 hectogram = 100 grams. By multiplying the number of hectograms by 100, we get the equivalent weight in grams. In this case, 40 hectograms is equal to 4000 grams. This conversion is based on the metric system, where prefixes like hecto- and kilo- represent multiples of 100 and 1000, respectively, making it easy to convert between different units of weight.

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Something i use to convert metric units is: King Henry Died By Drinking Chocolate Milk. This is an acronym for:
K: Kilos
H: Hecto
D: Deka
B: Base (liters or grams etc.)
D: Deci
C: Centi
M: Milli

Now, since you are going from hectograms (hecto) to grams (base) you will move the decimal to the right 2 times (since base is 2 bellow hecto) So that means: There are 4,000 grams in 40 hectograms.

How is 4.3 x 10^-3 the answer to this question? A sample of air from a home is found to contain 6.2 ppm of carbon monoxide. This means that if the total pressure is 695 torr, then the partial pressure of CO is..................4.3 x 10^-3.

Answers

The partial pressure of CO2 is equal to the total pressure * molar fraction of CO2.

To give 4.3 * 10^-3, they are using molar fraction = 6.2 * 10^ - 6

Because, 695 * 6.2-10^-6 = 0.004309 = 4.309 * 10^-3 = 4.3 * 10^-3.

Then the new question is why the molar fraction is consideres to be the same ppm concentration. This is because ppm means parts per million, and in this case, they are considering that the parts are moles (usually it is grams, but it is not the case, given the result).

6.2 ppm = 6.2 / 1,000,000 = 6.2*10^-6, which is the number used above to multiply the total pressure and get the partial pressure of CO2.

If you had not told me that the result was 4.3 * 10^-3, I had assumedthat 6.2 was referred to grams and not moles and I had made a conversionusing the molar masses of the air and the CO2 but, again, this is not the case.

Final answer:

The partial pressure of CO in a home with air containing 6.2 ppm CO, when the total air pressure is 695 torr, can be calculated by (6.2 ÷ 1,000,000) x 695, which equals 4.3 x 10^-3 torr.

Explanation:

The partial pressure of a gas is the individual pressure contribution a single type of gas makes to the overall pressure of a gas mixture. In this case, a sample of air from a home was found to contain 6.2 parts per million (ppm) of carbon monoxide (CO). To calculate the actual pressure of CO in the room, we can use the fact that 1 ppm = 1 part of the substance per 1,000,000 parts of air.

To do so, we need to multiply thetotal pressure of the air, which is 695 torr, by the ratio of the CO to the total volume of the air. That would be: (6.2 ÷ 1,000,000) x 695 = 4.3 x 10-3 torr. Hence, that is how 4.3 x 10-3 is derived as the partial pressure of CO in this context.

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How Do I Find The Domain & Range Of
y=2x-4 ?

Answers

Both the domain and range of the function is in range -

( - ∞ , + ∞ )

We have the following function -

y = f(x) = 2x - 4

We have to identify its Domain and Range.

What do you mean by domain and range of a function?

For any function y = f(x), Domain is the set of all possible values of y that exists for different values of x. Range is the set of all values of x for which y exists.

Consider the equation given -

y = 2x - 4

If we compare it with the general equation of line -

y = mx + c

We get -

m = 2 and c = - 4

Now this graph of the equation y = mx + c represents a straight line.

Hence, both the domain and range of the function are-

( - ∞ , + ∞ )

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The domain is how far left and right it goes on a graph, and the range is how far up and down it goes on a graph. Because this equation is linear (if you graphed it, it would be in a straight line), both the domain and range are infinity, because it keeps going up and to the right, the larger X gets, and smaller and to the left, the more negative X gets.

Leons older brother is 4 3/4 feet tall. Leon is 1/3 foot shorter than his brother. How tall is leon?

Answers

the answer would be 4 5/12

Answer:

1.583 feet

Step-by-step explanation:

4 3/4 is 4.75

4.75/3=1.583

What 2 numbers add up to get 17 and multiply to get 42??