What are four different ways of representing functions? How can you tell if a relationship is a function?

It takes a total of 6 hours to fill up an inground backyard pool using a standard hose. A function can represent this situation

ValentinkaMS [17]

At time t = 0 the pool is empty. At time t = 6 hours the pool is full. Once you have a function that represents the amount of water in the pool, you should be able to put any value for t in the domain 0 <= t <= 6 to find the amount of water in the pool. t can be any real number such as: 1, 1.5, 2.8, 3.6589, etc. So all real numbers from 0 to 6 hours.

8 0

4 years ago

Chairs need to be set up for the audience members. You want to use the

kolbaska11 [484]

Answer: 18

Step-by-step explanation: If there were 18 seats in the row, it would be an even amount in each row, the same amount in each row, and would see everybody.

6 0

3 years ago

Need help on question 15

NARA [144]

Answer:

A. 16/36

B. 28/36

C. 24/36

D. 8/36

Step-by-step explanation:

Above I have the probability chart. Their are 36 students so that’s the ’out of’ thing I used, for instance, Answer A: the probability of you meeting a student who only eats lunch is: 16 out of 36 (16 students who eat lunch, while 36 altogether.)

I wish you luck on this homework!!!!

5 0

3 years ago

Dave is considering two loans. Loan U has a nominal interest rate of 9. 97%, and Loan V has a nominal interest rate of 10. 16%.

Vsevolod [243]

Loan U will have a lower effective interest rate, and 0.0713 lower percentage points lower than Loan V and it can be determined by using the rate of interest formula.

Given that,

Dave is considering two loans.

Loan U has a nominal interest rate of 9.97%, and Loan V has a nominal interest rate of 10.16%.

If Loan U is compounded daily and Loan V is compounded quarterly.

We have to determine,

Which loan will have the lower effective interest rate, and how much lower will it be?

According to the question,

<h2>Effective Interest Rate;</h2>

The effective interest rate is determined by the formula;

$= \left(1+\dfrac{r}{t} \right )^t$

Loan U has a nominal interest rate of 9.97%,

Loan U is compounded daily,

Then,

The effective annual multiplier for loan U is,

$= \left(1+\dfrac{0.997}{365}\right)^{365}\\\\= (1+0.0027)^{365}\\\\= (1.0027)^{365}\\\\= 1.104824$

And Loan V has a nominal interest rate of 10.16%,

and Loan V is compounded quarterly.

Then,

$= \left(1+\dfrac{0.1016}{4}\right)^{4}\\\\= (1+0.0254)^{365}\\\\= (1.0254)^{365}\\\\= 1.105537$

Therefore,

Loan V has a higher effective rate by,

$=1.105537 -1.104824 \\\\= 0.000713 \\\\= 0.0713%$

Hence, Loan U will have a lower effective interest rate, and 0.0713 lower percentage points lower than Loan V.

For more details about Interest rate refer to the link given below.

brainly.com/question/1398822

5 0

3 years ago

The Coca-Cola Company reported that the mean per capita annual sales of its beverages in the United States was 423 eight-ounce s

Gekata [30.6K]

Answer:

The test results support the claim

Step-by-step explanation:

The Coca-Cola Company reported that the mean per capita annual sales of its beverages in the United States was 423 eight ounce servings (Coca-Cola Company website, February 3, 2009).

Suppose you are curious whether the consumption of Coca-Cola beverages is higher in Atlanta, Georgia, the location of Coca-Cola’s corporate headquarters.

A sample of 36 individuals from the Atlanta area showed a sample mean annual consumption of 460.4 eight ounce servings with a standard deviation of s = 101.9 ounces. Using α = .05, do the sample results support the conclusion that mean annual consumption of Coca-Cola beverage products is higher in Atlanta?

Hx: u <= 423 oz

Ha: u > 423 oz (claim)

z(460.4) = (460.4-423)/[101.9/sqrt(36)] = 2.2022

p-value = P(z > 2.2022) = 0.0138

Conclusion: Since the p-value is less than 5%

reject Hx at the 5% significance level.

The test results support the claim.

7 0

3 years ago