Answer:
Estimate of 938,617 - 254 is 938, 300
Step-by-step explanation:
To round to the nearest hundred we look at the digit in the hundreds place and examine the digit to the right of it. If the digit to the right of the 100's place is 5 or greater round the hundreds digit up, else leave it as is. Make all the digits to the right of the 100's digit zeros
938,617 rounded to the nearest 100 is 938,600
The 6 in the hundreds place stays the same, because the digit to the right in the tens place is 1 which is less than 5
254 rounded to 100's place = 300
The digit in the 100's place is 2; the digit to the right of it is 5 so round 2 to 3 and make all digits to its right as 0
Estimate of 938,617 - 254 = 938,600 - 300 = 938, 300
Actual value of 938,617 - 254 = 938,363 so we are off by only a small margin
Write the coordinates of the vertices after a reflection over the line x = 4
M'(11, -8), L'(13, -8), K'(13, -10) and J'(11, -10) are the coordinates of the vertices after a reflection over the line x = 4
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The coordinates of the quadrilateral MLJK are M(7, -8), L(9, -8), K(9, -10)
and J(7,-10)
Now we have to find the coordinates of the vertices after a reflection over the line x = 4
We need to find the coordinates of the vertices after reflecting over the line x = 4, we just need to flip the x-coordinate of each vertex across the line.
M(7, -8)--->M'(7+4, -8)
=M'(11, -8)
L(9, -8)--->L'(9+4, -8)
=L'(13, -8)
K(9, -10)--->K'(9+4, -10)
=K'(13, -10)
J(7,-10)--->J'(7+4, -10)
=J'(11, -10)
Hence, M'(11, -8), L'(13, -8), K'(13, -10) and J'(11, -10) are the coordinates of the vertices after a reflection over the line x = 4
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Tippah Antiques uses the periodic inventory system to account for its inventory transactions. The following account titles and balances were drawn from Tippah’s records for Year 2: beginning balance in inventory, $24,500; purchases, $306,400; purchase returns and allowances, $12,600; sales, $721,000; sales returns and allowances, $6,260; freight-in, $1,810; and operating expenses, $51,100. A physical count indicated that $24,400 of merchandise was on hand at the end of the accounting period.
Tippah Antiques uses the periodic inventory system to account for its inventory transactions. The net sales = $714740
What is periodic inventory system?Inventory that is updated on a regular basis is known as periodic inventory. Contrasted with perpetual inventory systems, which are updated as necessary, this system does not. While using a periodic inventory system, neither inventory nor cost of goods sold records are attempted to be kept up to date.
Businesses that only sell a few products during a given accounting period frequently employ the periodic inventory method. Due to its simplicity of use and low cost of ownership due to the lack of expensive software requirements, these businesses frequently find it advantageous to employ this system.
Given that,
TIPPAH ANTIQUES:
For the year ended December 31, Year 2: (Schedule of Cost of Goods sold)
Beginning balance of inventory: $24500
Add: Purchases: $306,400
Less: Purchase returns allowances: $12,600
Add: Freight in: $1,810
Cost of goods available for sale:
(24500+306400-12600+1810) $320,110
Less: Ending inventory on hand: $24,400
Cost of goods sold:
(320110 - 24400) $295,710
Next,
For the year ended December 31, Year 2: (Income statement)
Net sales $714,740
Less: Cost of goods sold $295,710
Gross Profit:
(714740 - 295710) $419,030
Operating expenses: $51,100
Income from Operations:
(419030 - 51100) $367,930
Thus,
Computation of Net sales
Sales $721000
Less: Sales returns and allowances: $6260
Net Sales (721000 - 6260): $714740
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Can we do
10 x squared plus 3 x
In 2012, the cost of a hamburger at a famous nationwide restaurant chain was $4.32. In 2022 the
price of the same hamburger is $6.12.
a. What is the average rate of change in the cost of the hamburger during this period?
b. Using the price in 2012 as an initial value, write a linear equation that models the cost of
the hamburger.
c. Using the model from part b, when will the price of the hamburger reach $7.02?
The average rate of change in the cost of the hamburger during the period of 2012 to 2022 is 0.18.
The equation is y = 0.18x + 4.32 and the cost will be $7.02 in 2027.
What are Linear Equations?Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
(a) Given that,
Cost of hamburger in 2012 = $4.32
Cost of hamburger in 2022 = $6.12
Average rate of change = (6.12 - 4.32) / (2022 - 2012)
= 0.18
(b) Linear equation can be written in slope intercept form as y = mx + c, where m is the slope and c is the y intercept.
Slope of a linear equation is equal to the average rate of change.
m = 0.18
y intercept is the value of the y coordinate when x = 0.
In this case, y intercept is the cost of hamburger in the initial year, 2012.
c = 4.32
So the equation is,
y = 0.18x + 4.32
(c) Price of the hamburger will reach $7.02, when,
7.02 = 0.18x + 4.32
0.18x = 2.7
x = 15
Price will reach $7.02 in the year = 2012 + 15 = 2027
Hence the cost of the hamburger will be $7.02 in the year 2027 using the linear model y = 0.18x + 4.32.
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PLEASE HURRY, ILL GIVE
BRAINLIST
(30 POINTS)
The function that represents linear function is y = 1/4(x) - 1. The correct answer is option(c).
A linear function is a which can be expressed in the form of,
y = mx + c
In the given question,
x = 1 is a constant function.
y = 1/3(x²) is a parabolic function.
and,
4x - 2 = 6 is also a constant function.
In the case of y = 1/4(x) - 1, We can compare the value with the standard equation.
We get,
m = 1/4
and, c = -1 which is an equation of a straight line.
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A line segment has a midpoint of (5,1/2). If one endpoint is (6,2).What is the other endpoint?
The other endpoint has its coordinate to be (4, -1).
How to determine the other endpointRepresent the coordinates of the other endpoint of the line segment be (x, y).
Since the midpoint of the line segment is (5, 1/2), we can use the midpoint formula to write an equation relating the coordinates of the two endpoints:
((6 + x)/2, (2 + y)/2) = (5, 1/2)
Simplifying this equation, we get:
(6 + x)/2 = 5
(2 + y)/2 = 1/2
Solving for x and y, we get:
x = 4
y = -1
Hence, the coordinates of the other endpoint of the line segment are (4, -1).
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a son earns 62% of what his father earns. if the son earns $52,000, how much does his father earn to the nearest dollar
A son earns 62 percent of what his father earns if the son earns $52,000 so, the father earns approximately $83,871.
Define percent.The word "percent" is used to represent a quantity as a percentage of 100. The Latin term per centum, which means "out of a hundred," is where the word "percent" originates. When working with huge numbers, percentages are frequently employed to convey ratios, proportions, and rates in a more practical way.
A percentage can be expressed as a decimal or as a fraction with a denominator of 100. 25%, for instance, might be written as 0.25 or as 25/100. Similarly, 75% might be written as 0.75 or as 75/100.
Let's denote the father's earnings as "F". We are given that the son earns 62% of what his father earns, which can be expressed as:
Son's earnings = 62% of Father's earnings
$52,000 = 0.62F
To solve for F, we can divide both sides of the equation by 0.62:
F = $52,000 ÷ 0.62
F = $83,870.97
Therefore, to the nearest dollar, the father earns approximately $83,871.
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Simple workingo ut :)
Answer:
Step-by-step explanation:
36
ACCOUNTING! HELP! Analyze DISH network.
The Account receivable turnover for Year 1 is 21.04.
The Account receivable turnover for Year 2 is 20.86.
What is account receivable turnover?The average number of the times a company collects its accounts receivable balance is measured by the accounts receivables turnover ratio. It is a measurement of how well a business manages its line of credit process and collects unpaid balances from customers. A company's accounts receivable turnover ratio is higher for an efficient business and lower for an inefficient one.
For year 1:
Account receivable turnover:
= Net sales / Average account receivable
= 13,612 / ((654 + 640)/2)
= 13,612 / 647
= 21.0386398764
= 21.04
For year 2:
Account receivable turnover:
= Net sales / Average account receivable
= 12,808 / ((640+588)/2))
= 12,808 / 614
= 20.8599348534
= 20.86
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Simplify the following expression. b²c 2d³f4 - 4d fl b[ ]c[] -2
The expression b²c²d³f⁴ - 4dfbc² when simplified is bdc²f(bd²f³ - 4)
How to simplify the expressionFrom the question, we have the following parameters that can be used in our computation:
b²c 2d³f4 - 4d fl b[ ]c[] -2
Express properly
So, we have the following representation
b²c²d³f⁴ - 4dfbc²
Factor out dc² from the expression
So, we have the following representation
b²c²d³f⁴ - 4dfbc² = dc²(b²d²f⁴ - 4fb)
Factor out f from the expression
So, we have the following representation
b²c²d³f⁴ - 4dfbc² = dc²f(b²d²f³ - 4b)
Factor out b from the expression
So, we have the following representation
b²c²d³f⁴ - 4dfbc² = bdc²f(bd²f³ - 4)
Hence, the expression is bdc²f(bd²f³ - 4)
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Find the value of the expression. 8x^3 for x = –2, –1, 0, 3
Answer:
8(-2)^3= -64
8(-1)^3= -8
8(0)^3= 0
8(3)^3= 216
Hope this helps! Remember PEMDAS (Please forgive My Dear Aunt Sally)
PRE-CALCULUS:
Hi! Not really sure how to go about this problem..please help!
Answer:
6
Step-by-step explanation:
the numerator of the fraction is
6(t+h) +1 -(6t +1) = 6h
so the fraction is 6h/h =6
A certain company creates handmade ceramic decorative pieces. Because they are handmade, each piece is unique. The following data represents the number pieces created by a certain craftsman on eight days, \( x \), and the total weight of the pieces in ounces, y. A table of the number of crafts, \( x \), and the number of ounces, \( y \) Part 1: Complete the following table (The last column is for your sums): A table of the number of rrafte \( x \) and the numher of aunroe is
Part 1: Complete the following table (The last column is for your sums): A table of the number of crafts. \( x \) a and the number of ounces. \( v \) Part 2: Use the sums from the table in Part 1 along with the Correlation Coefficient formula to find the Correlation Coefficient. (Make sure you have read the quiz directions)
The values to put in the box will be:
x
y
x.y
x^2
y^2
4
19
76
16
361
9
46
414
81
2116
7
30
210
49
900
6
31
186
36
961
5
23
115
25
529
5
28
140
25
784
4
21
84
16
441
8
42
336
64
1764
total
48
240
1561
312
7856
How to explain the sample sizeThe sample size is the number of observations used for determining the estimations of a given population.
The size of the sample has been drawn from the population. Sampling is the process of selection of a subset of individuals from the population to estimate the characteristics of the whole population.
Inthi case, sample size n = 8 and the correlation coefficient is 0.9643.
The appropriate values are given above.
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HELP PLEASE IT URGENT (BRAINLIEST) IM BEGGING
What is the fractional equivalent of the repeating decimal n = 0.1515... ?
Answer the questions to find out.
1. How many repeating digits does the number represented by n have? (2 points)
2. You need to multiply n by a power of 10 to help you find the fraction. Decide on the power of 10 to multiply by, and tell how you identified that number. (2 points)
3. Write an equation where the left side is your power of 10 times n and the right side is the result of multiplying 0.1515... by that power. (2 points)
4. Write the original equation, n = 0.1515... underneath your equation from question 3. Then subtract the equations. Show your work. (2 points)
5. Write n as a fraction in simplest form. Show your work. (2 points)
Answer:
[tex]\frac{5}{33}[/tex]
Step-by-step explanation:
1.
2
1 5 is what's repeating, and there are two digits.
2.
10² = 100
I chose 10 to the power of 2 because there are 2 digits repeating.
3.
n × 10² = 0.1515 x 10² (square 10)
100n = 0.1515 × 100 (combine like terms)
100n = 15.15
4.
100n = 15.1515....
- n = 0.1515....
-------------------------
99n = 15
5.
99n = 15 (divide both sides by 99)
n = [tex]\frac{15}{99}[/tex]
As it asks for simplified form:
[tex]\frac{15}{99}[/tex] ÷ [tex]\frac{3}{3} = \frac{5}{33}[/tex]
Therefore, the fractional equivalent of the repeating decimal n = 0.1515... is [tex]\frac{5}{33}[/tex].
An elevator is on the 9th floor. It goes up 2 floors and down 5
floors. What floor is the elevator on now?
Evaluate
|-xz| for x = 3 and z = -4
The elevator is now on the 6th floor.
What are Arithmetic operations?Arithmetic operations are the basic part of mathematics which combines the basic operations like addition, subtraction, multiplication and division.
Given that the elevator is now on 9th floor.
First, it goes up 2 floors.
Position of elevator = 9 + 2 = 11th floor
Then, it goes down 5 floors.
Position of elevator = 11 - 5 = 6th floor
Hence the elevator is now on the 6th floor.
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Which of these is a proposition?
A. Aristotle was born in norther Greece.
B. Will you be coming to the party?
C. x + 3 = 7
D. Go to bed!
The proposition in this set of options is:
A. Aristotle was born in northern Greece.
What is Proposition ?A proposition is a key idea in philosophy of language and related disciplines, and it is frequently referred to as the main carrier of truth or untruth. The kind of object that declarative sentences signify is another way that propositions are frequently described. The statement "The sky is blue," for example, expresses the idea that the sky is blue.
A proposition is a statement that can either be true or false. Therefore, the proposition in this set of options is:
A. Aristotle was born in northern Greece.
This is a proposition because it is a statement that can be evaluated as true or false. The other options are not propositions:
B. This is a question and not a statement, so it is not a proposition.
C. This is an equation, not a statement, so it is not a proposition.
D. This is a command, not a statement, so it is not a proposition.
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A pharmaceutical company producing medicine determines that the ideal weight per dose of a certain drug is 0.05 grams. By law, the actual weight can vary from the ideal value by no more than 0.002 grams. What range of weights will be acceptable to an inspector without causing the pharmacy to be fined?
Answer:
Below
Step-by-step explanation:
The dose can be .05 gm ± .002 gm = .048 - .052 gm
Tom says that he can find 12 x 18 mentally using two partial products,
10 x 18 and 2 x 18. Is Tom correct? Explain your answer.
So, in response to the above question, we can state that Due to the use equation of two partial products, 10 x 18 and 2 x 18, Tom is accurate that 12 x 18 equals 216.
What is equation?A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical. For examples, in the equation 3x + 5 = 14, because equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The emblem and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.
Tom is accurate;
Using partial products, where one of the numbers is divided into smaller pieces and each piece is multiplied by the other number, is an alternate approach. The ultimate result is then calculated by adding the products.
In this instance, Tom has divided 12 into 10 + 2 and is independently multiplying each portion by 18.
10 x 18 = 180
2 x 18 = 36
We only need to combine the two partial products to obtain the outcome:
180 + 36 = 216
Due to the use of two partial products, 10 x 18 and 2 x 18, Tom is accurate that 12 x 18 equals 216.
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Olivia wants to buy a new digital camera. She has found the model she would like to buy sold at four Internet stores.
Based on given data, buying from Photo World would result in the lowest total cost for the camera, at $164.99.
Buying the Lowest Cost Digital Camera from Four Different StoresTo determine the store with the lowest total cost, we need to calculate the total cost for each store, taking into account the price of the camera, the coupon code (if any), the sales tax, and the shipping cost.
For Camera Hut:
Price of camera: $200.00
Coupon code: 15% off
Discounted price: $170.00 (200.00 * 0.15 = 30.00 discount)
Sales tax: 5% of $170.00 = $8.50
Shipping: Free
Total cost: $170.00 + $8.50 + $0.00 = $178.50
For Photo World:
Price of camera: $180.00
Coupon code: 10% off
Discounted price: $162.00 (180.00 * 0.10 = 18.00 discount)
Sales tax: None
Shipping: $2.99
Total cost: $162.00 + $0.00 + $2.99 = $164.99
For Picture Palace:
Price of camera: $169.99
Coupon code: None
Discounted price: $169.99
Sales tax: 5% of $169.99 = $8.50
Shipping: $6.99
Total cost: $169.99 + $8.50 + $6.99 = $185.48
For Vid-Cam Castle:
Price of camera: $205.00
Coupon code: 18% off
Discounted price: $168.10 (205.00 * 0.18 = 36.90 discount)
Sales tax: None
Shipping: Free
Total cost: $168.10 + $0.00 + $0.00 = $168.10
Therefore, buying from Photo World would result in the lowest total cost for the camera, at $164.99.
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Let Y be a Binomial variable counting the number of successes in
120 independent trials where the probability of success at each trial is
0.52; that is, Y~Bin(120,0.52).
Use the pbinom function in R to find P(60 < Y ≤ 70), giving your answer to three decimal places.
The answer is 0.294. This can be found by using the pbinom function in R.
What is function?Function is the process or state of instruction that text inputs performance is specific tax and produce an output functional key components of programming language allowing the quarters to create complex commands with simple instruction for example a function can be used to add two numbers round together or to generate a random number function can also be combined to create more complex sequence of instruction.
This function calculates the cumulative probability of a binomial variable from 0 to a certain value. In this case, the probability of Y being greater than or equal to 60 and less than or equal to 70 is 0.294.
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LAST QUESTION I NEED HELPPPPPP Following the accounting cycle, what would an accountant do right after making an adjusted trial balance?
A. make a worksheet
B. make a trial balance
C. adjust entries
D. close the entries
Answer:
A
Step-by-step explanation:
Following the accounting cycle, an accountant would make a worksheet right after making an adjusted trial balance. The worksheet is a tool used by accountants to prepare financial statements and to adjust entries. The worksheet summarizes the data in the trial balance and makes it easier for the accountant to prepare the financial statements. The worksheet includes adjustments for accruals, prepayments, depreciation, and other items that were not recorded in the original journal entries. Once the worksheet is complete and the financial statements have been prepared, the accountant would then close the entries to start a new accounting cycle. Therefore, the correct answer is A. make a worksheet.
Lucia wants to spend less than 16$ on her order. Which of the following represents amounts that are lucias budget? choose all the correct anwsers
A. 25% off $20
B. 10% off %18
C. $14 plus 10% sales tax
D. $14 plus 7% sales tax
E. 20% off $18 then a 10% shipping fee
F.30% off $30, then an addition $5 off
Answer:
A. 25% off $20
C. $14 plus 7% sales tax
D. $14 plus 7% sales tax
E. 20% off $18 then a 10% shipping fee
Step-by-step explanation:
The rest i did the math and it doesnt add up. But your option B. is either typoed or i dont know. If its a typo then include that in your answer as well
i dont understand at all
The equation is given by 5n + 100n = 210
Peggy has 8 quarters and 2 nickels
Let's call q the number of quarters and n the number of nickels.
If Peggy has four times as many quarters as nickels, we can write the following equation:
q = 4n
Then, each quarter has a value of 0.25 dollars and each nickel has a value of 0.05 dollars, so
0.25q + 0.05n = 2.10
Because she had $2.10. Now, we can replace the first equation on the second one
0.25(4n) + 0.05n = 2.10
1n + 0.05n = 2.10
Finally, we can multiply both sides by 100, so
100n + 0.05(100)n + 2.10(100)
100n + 5n = 210
Therefore, the equation that can be used to solve the problem is
5n + 100n = 210
Now, we can solve the equation for n
105n = 210
105n/105 = 210/105
n = 2
Then, q is equal to
q = 4n
q = 4(2)
q = 8
It means that Peggy has 8 quarters and 2 nickels.
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complete question is listed below:
Peggy had four times as many quarters as nickels. She had $2.10 in all. How many nickels and how many quarters did she have?
Which of the following equations could be used to solve the problem?
On+4 n=210
5 n+100 n=210
n+4 n=2.10
5n+100 n=2.10.
In this regular pentagon, all of the exterior
angles marked f are the same size.
Find the value of f.
Give your answer in degrees (°).
f
f
A sculptor is planning to use a triangular prism as the base for his art project. What is the volume of the pedestal if the area of its Base is 9 in² and the height of the prism is 15 inches?
45 in³
96 in³
135 in³
128 in³
The requried volume of the pedestal is 135 cubic inches.
What is volume?Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
Here,
The volume of a triangular prism is given by the formula V =base x h, where the base is the area of the base and h is the height of the prism.
In this case, the area of the base is given as 9 in², and the height of the prism is given as 15 inches.
Therefore, the volume of the pedestal is:
V = base x h
V = 9 in² x 15 inches
V = 135 cubic inches
So the volume of the pedestal is 135 cubic inches.
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Which compound inequality is equivalent to |ax-b|>c for all real numbers a, b, and c, where c>=0
Therefore , the solution of the given problem of inequality comes out to be ax - b > c, we get ax - b > c or ax - b < -c, which is the same as
|ax - b| > c.
What does inequality actually mean?A mathematical inequality is a relationship or group of values without the equal sign. Equity usually comes after equilibrium. When two parameters are not equal, inequality results. Between equality and inequality, there are differences. Because the numbers are not equal or variable it was chosen to use the most common symbol (). Any difference, no matter how little or significant, can be utilised to compare values.
Here,
One possible equivalent compound inequality is:
ax - b > c or ax - b < -c
To see why this is true, consider the two cases:
Case 1: ax - b > c
If we take the absolute value of both sides, we get |ax - b| > c, which is the original inequality.
Case 2: ax - b < -c
If we multiply both sides by -1, we get -ax + b > c.
Adding ax to both sides, we get b > ax + c. If we subtract this inequality from
=> ax - b < -c
=> -2b < -2c, or b > c.
Substituting b > c back into the inequality ax - b < -c, we get ax < 0. Multiplying both sides by -1 (since c >= 0),
we get
-ax > 0, or ax < 0.
Combining this with the inequality ax - b > c, we get ax - b > c or ax - b < -c, which is the same as |ax - b| > c.
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Which statistical test is most appropriate to use to answer the following research question? Is there a difference in mean height between middle school students based on gender (male and female) and grade (6th, 7th, 8th)?
The most appropriate statistical test is a two-way ANOVA
How to determine the most appropriate statistical testFrom the question, we have the following parameters that can be used in our computation:
Question: Is there a difference in mean height between middle school students based on gender (male and female) and grade (6th, 7th, 8th)?
The most appropriate test is the two-way ANOVA
This is so because the test is a type of hypothesis test that uses a statistical model to analyze the variance between groups and within groups.
It tests the null hypothesis that the means of all groups are equal against the alternative hypothesis that at least one group mean is different from the others.
In this case, the groups are
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On their farm, Adam’s family maintains a storage that can hold 18.8 cubic yards (yd3) of grain. Use the fact that 1 yard is approximately equal to 0.9144 m to convert this volume to m3. Round your answer to the nearest hundredth.
The volume of grains stored in Adam's family farm in m³ is 14.374m³.
What is meant by volume?
Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity. Knowing an object's volume can help us figure out how much a substance is needed to fill it, such as how much water is needed to fill a bottle. Cubic units are used to quantify a solid's volume. Volume is another word for capacity.
Given,
The volume of grains stored in the farm = 18.8 yards³
It is given that 1 yard = 0.9144 m
We are asked to find the above volume of grains from yards³ to m³
if
1 yard = 0.9144 m
1 yard³ = 0.9144 m * 0.9144 m * 0.9144 m
18.8 yards³ = 18.8 * 0.9144*0.9144*0.9144 = 14.374 m³
Therefore the volume of grains stored in the farm in m³ is 14.374m³.
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How do I do this? This is confusing..
The points are as selected on the graph.
How to select points on the graph?A function is an expression that shows the relationship between the independent variable and the dependent variable. A function is usually denoted by letters such as f, g, etc.
Since f(x) = -9. What this means is that the value of f(x) will always be -9 irrespective of the value of x. That is:
x f(x)
-2 -9
0 -9
2 -9
7 -9
9 -9
Check the attached image for the points on the graph
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In one day, there are two high tides and two low tides in equally spaced intervals. The high tide is observed to be 6 feet above the average sea level. After 6 hours pass, the low tide occurs at 6 feet below the average sea level. In this task, you will model this occurrence using a trigonometric function by using x as a measurement of time. Assume the first high tide occurs at x = 0.
Determine these key features of the function that models the tide:
1.amplitude
2.period
3.frequency
4.midline
5.vertical shift
6.phase shift
Answer:
1. The amplitude of the function is 12 feet, since it moves from 6 feet above to 6 feet below the average sea level.
2. The period of the function is 12 hours, since it takes 12 hours for the tide to go from high to low and back again.
3. The frequency of the function is 0.5 (1/12), since it takes 12 hours for the function to repeat itself.
4. The midline of the function is the average sea level.
5. There is no vertical shift.
6. The phase shift is 0, since the first high tide occurs at x = 0.