WILL GIVE BRAINLIEST LOOK AT PHOTOS FOR QUESTION

What is the perimeter of the mural 9 feet and it area 72 square feet

melomori [17]

Perimeter: 9+9+8+8= 34 ft.
Area: 9*8= 72 ft²

5 0

3 years ago

The frequency f of vibration of a violin string is inversely proportional to its length L. The constant of proportionality k is

Natali5045456 [20]

Answer:

(A) $f=\frac{k}{L}$

(B) Frequency becomes half.

Step-by-step explanation:

We have been given that the frequency f of vibration of a violin string is inversely proportional to its length L. The constant of proportionality k is positive and depends on the tension and density of the string.

(A) We know that two inversely proportional quantities are in form $y=\frac{k}{x}$ , where y is inversely proportional to x and k is constant of proportionality.

Upon substituting our given values, we will get:

$f=\frac{k}{L}$

Therefore, our required equation would be $f=\frac{k}{L}$ .

(B) For part, we have been given that length is twice, so our new frequency will be $f_n$ and new length $L_n$ is $2L$ .

Upon substituting $2L$ in our equation as:

$f_n=\frac{k}{L_n}$

$f_n=\frac{k}{2L}$

$f_n=\frac{1}{2}\cdot \frac{k}{L}$

$f_n=\frac{1}{2}\cdot f$

Upon comparing $f_n$ with $f$ , we can see that $f_n$ is half the value of $f$ .

Therefore, the frequency of vibration of violin gets half, when we double the length of the string.

3 0

3 years ago

Mrs. Speas has $138 in her bank account during Week #1. At the end of each week, she deposits $55 into her bank account. What is

nordsb [41]

The first term is 138

The difference is 55

The iterative rule for the amount of money Mr Speas has after n weeks is

55/2 n² + 221/2 n

During the first week she has $138 in his bank account. At the end of each week she deposited $55 into her bank account.

The first term will be 138 .

The common difference is 55 because her bank always increase by $55 dollars every week. The sequence will be 138, 193, 248, 303, 358...…

The difference = 193 - 138 = 55.

The iterative rule for the amount of money Mr Speas has after n weeks can be represented below

n = number of weeks

a = first term = 138

d = common difference = 55

Using AP formula,

sₙ = n/2(2a + (n - 1)d)

sₙ = n/2 (2(138)+ (n - 1)55)

sₙ = n /2(276 + 55n -55)

sₙ = n /2(221 + 55n)

sₙ = 55/2 n² + 221/2 n

6 0

2 years ago

Read 2 more answers

Jay Spring pays $350.00 annually for his health insurance. This is 1/3 of the total cost of the premium; his company pays the re

WINSTONCH [101]

Q: How much did Jay have to pay excluding his share of the insurance premium?

A: $1800+$200 = $2000

Q: How much did Jay's company pay for his insurance premium?

A: $700. If Jay's $350 is 1/3 of the premium , then Jay's company pays 2*$350=$700 as rest of his premium.

Q: Jay paid 10% and the plan paid 90% beyond the deductible. How much did Jay's insurance company pay total?

A: Jay's insurance company paid $16200. Given that Jay paid $1800 beyond his deductible of $200 (and that is 10% of the actual cost) means that his plan (insurance company) paid 90%=9*$1800=$16200.

Q: How much did Jay have to pay total, including his share of the premium?

A: Jay paid $2350. He paid $200 deductible + $1800 beyond deductible + $350 premium

8 0

3 years ago

Read 2 more answers

Debate the following statement: "Correlation means Causation." Determine whether this statement is true or false, and provide re

Pachacha [2.7K]

Answer:

Thats FALSE.

The concept CORRELATION not automatically means CAUSATION.

Step-by-step explanation:

Previous concepts

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

And in order to calculate the correlation coefficient we can use this formula:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

Solution to the problem

Some useful concepts are:

Correlation is a statistical measure described with a number that describes the size and direction of a relationship between two or more variables. The correlation between variables, NOT mean that the change in one variable is the cause of the change in the values of the other variable.

Causation is a term refered to one event as the result of the occurrence of the other event for example, there is a causal relationship between event A and B like a cause and effect. One important thing to mention here is that the causation is not an easy concept to measure.

"The difference between the two types of relationships are easy to identify since one can be measured with a numerical value and the other no (Here is one example: smoking causes an increase in the risk of developing lung cancer), or it can correlate with another ( smoking is correlated with alcoholism, but it does not cause alcoholism)".

So is clear that the concept CORRELATION not automatically means CAUSATION.

6 0

3 years ago