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3 years ago

Which has the greater energy, light of wavelength 519 nm or light with a frequency of 5.42 x 10^8 sec^-1?

Mathematics

1 answer:

slega [8]3 years ago

8 0

Try this solution:

the rule: if f1>f2, then E1>E2, where f1;f2 - frequency, E1;E2 - energy of light.

The formula is L=c/f, where L - the wavelength, c - 3*10⁸ m/s, f - frequency.

Frequency for the wavelength 519 nm. is:

$f=\frac{c}{L}=\frac{3*10^8}{519*10^{-9}}=\frac{3*10^17}{519}=578034682080924=5.78*10^{14}( \frac{1}{sec})$

Answer: the energy of light of wavelength 519 nm.

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If one of the acute angles of a right angled triangle is 55 , calculate the remaining angle

lions [1.4K]

Answer:

35 degrees

Step-by-step explanation:

To start off, the term "acute angle" means less than 90 degrees. In this case, the acute angle is 55 degrees.

The type of triangle mentioned in the question is a right-angled triangle, meaning it has a right triangle (90 degrees) along 2 other triangles. A triangle is generally 180 degrees. So now that we know the value of 2 out of 3 angles we do simple math.

Assume the unknown angle is A.

55 + 90 + A = 180

A = 35

8 0

3 years ago

8) Identify the property illustrated here. For all a and b: ab = ba

goblinko [34]

It would be commutative bc the numbers switch places... B I hope that helped :)

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3 years ago

A study conducted by the Center for Disease Control that asked 15,000 students about

BaLLatris [955]

Answer:

The sampling distribution of $\hat p$ is: $\hat p\sim N(p,\ \frac{p(1-p)}{n})$ .

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

$\mu_{\hat p}=p$

The standard deviation of this sampling distribution of sample proportion is:

$\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}$

The study was conducted using the data from 15,000 students.

Since the sample size is so large, i.e. <em>n</em> = 15000 > 30, the central limit theorem is applicable to approximate the sampling distribution of sample proportions.

So, the sampling distribution of $\hat p$ is: $\hat p\sim N(p,\ \frac{p(1-p)}{n})$ .

5 0

3 years ago

Clara is leaving her uncle's house to go to her house. After driving 2 hours at a steady rate, Clara is 79 miles from her house

topjm [15]

If you use your subtraction right when you use deceleration as for example like 4.5 from 79 well you know it had to slow down so the correct Answer for this would end up as 17 .5 Try the easy way like

79 dived by 4.5 would get you the same answer but don't divide backwards you will get an in correct answer

hope i helped;)

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3 years ago

Read 2 more answers

Is a relation always a function? Is a function always a relation? Explain.

katen-ka-za [31]

A function is always a relation but relation is not always a function

<u>Solution:</u>

Given that, we have to explain Is a relation always a function and is a function always a relation

Note that both functions and relations are defined as sets of lists.

In fact, every function is a relation. However, not every relation is a function. A relation from a set X to a set Y is called a function if each element of X is related to exactly one element in Y.

That is, given an element x in X, there is only one element in Y that x is related to.

For example, consider the following sets X and Y. Let me give you a relation between them that is not a function;

X = { 1, 2, 3 }

Y = { a , b , c, d }

Relation from X to Y : { (1,a) , (2, b) , (2, c) , (3, d) }

This relation is not a function from X to Y because the element 2 in X is related to two different elements, b and c

Relation from X to Y that is a function: { (1,d) , (2,d) , (3, a) }

This is a function since each element from X is related to only one element in Y. Note that it is okay for two different elements in X to be related to the same element in Y. It's still a function, it's just not a one-to-one function.

So, we can say that function is a type of relation.

Which means whatever a function occurs, it will be a relation from one set to other.

But when a relation occurs it may be a function but need not be always a function.

Hence, a function is always a relation but relation is not always a function.

8 0

3 years ago