The following sinusoid is plotted below. Complete the following steps to model the curve using the cosine function.
1.What is the phase shift, h, of this curve?
2.What is the vertical shift, k, of this curve?
3.What is the amplitude, a, of this curve?
4.What is the period and the frequency factor, b, of this curve?
5.Write an equation using the cosine function that models this data set.
Answer:
A.) phase shift is h=6
B.) Vertical shift is 21 units down
C.) The amplitude is 5 from the midline at y= -21
D.) The period is 16 and the frequency factor is pi/8
E.) 5 cos(pi/8(x-6))-21
Step-by-step explanation:
Find your minimum and maximum values. This would help you find the amplitude and the vertical shift. To find amplitude, the formula is A= (absolute value) of the max minus the min and divide by 2. To find vertical shift, you add the max and min values and divide by 2. The period is the distance of the max and min values and then doubled. The distance was 8 units so the period was 16. To find frequency factor, just plug in your values. You know that the formula is Period= 2pi/b. So it would be 16= 2pi/b. The frequency factor should be pi/8 after you cross multiply and then divide. To write the equation, you substitute the values into the equation of acos(b(x-c))+d. Make sure to put parentheses or else the graph will look wrong.
When 12 is divided by 2/3 which statement about the quotient is true?
The statement when 12 is divided by 2/3 has no remainder is true.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, 12 is divided by 2/3 which is,
= (12)/(2/3).
= 12×(3/2) (we can flip the divisor to make it a multiplier)
= 36/2.
= 18.
learn more about fractions here :
https://brainly.com/question/10354322
#SPJ2
What is the inverse of the function f(x) = 1/4x – 12?
h(x) = 48x – 4
h(x) = 48x + 4
h(x) = 4x – 48
h(x) = 4x + 48
Answer:
h(x)=4x+48
Step-by-step explanation:
f(x) = 1/4x – 12
x=1/4y-12
x+12=1/4y
4x+48=y
h(x)=4x+48
5 1/3% is equal in fraction to 4/75 true or false
A jeepney ride cost 11 pesos for the first 4 kilometers and each additional integer kilometers adds 3.50 pesos to the fare, use a piece-wise function to represent the jeepney fare in terms of the distance f(d) in kilometers.
Answer:
[tex]f(d)=\left\{ \begin{matrix} 11 & \text{for} & 0< d\leq 4 \\-3+3.5d & \text{for}& d > 4 \end[/tex]
Step-by-step explanation:
Cost of first 4 kilometers ride = 11 pesos.
So, for the first 4 km, the fair is constant i.e.
for 1 km the fare is 11 pesos,
for 2 km the fair is also 11 pesos,
similarly, for 3 km of 4 km, the fare is 11 pesos.
Hence, for the distance [tex]0\geq d\geq 4[/tex], the fair function,
[tex]f(d)=11\cdots(i)[/tex]
After 4 km, there is an increment of $ 3.50 for each kilometer.
So, the fare function up to 5 kilometers,
[tex]f(d)=11+3.5=14.5[/tex]
So, the fare function up to 6 kilometers, i.e for the distance [tex]5<d\leq6[/tex],
[tex]f(d)=11+2\times3.5=18[/tex]
This can be arranged as the fare function up to 6 km,
[tex]f(d)=11+(6-4)\times3.5=18[/tex]
Similarly, the fare function up to [tex]d[/tex] kilometer [tex](n>4)[/tex],
[tex]f(d)=11+(d-4)\times3.5[/tex]
[tex]\Rightarrrow f(d)=-3+3.5d\cdots(ii)[/tex]
Hence, from equations (i) and (ii),
[tex]f(d)=\left\{ \begin{matrix} 11 & \text{for}\; 0< d \leq 4 \\-3+3.5d & \text{for}\; d > 4 \end[/tex]
Each student was asked to create an expression whose quotient is 1/3. each student and the response can be seen on table below.
Answer:hi I believe is is Ben and Elizabeth
Step-by-step explanation:
The two-way table below describes the car rental habits of sales representatives attending a conference.
What percentage of representatives staying at least two nights rented a car?
20%
44%
55%
79%
Answer:
44 bro
Step-by-step explanation:
The percentage of representatives staying at least two nights rented a car is 44%.
What is Percentage?Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.
So the percentage actually means a part per 100.
Percentage is usually denoted by the symbol '%'.
Given is a two way table.
From the table, the number of representatives staying at least 2 nights rented a car is 11.
Total number of representatives staying at least two nights = 14 + 11 = 25
Percentage = (11 / 25) × 100
= 0.44 × 100
= 44%
Hence the percentage for the required number is 44%.
To learn more about Percentage, click :
https://brainly.com/question/29306119
#SPJ2
24+26
[tex]25 + 52[/tex]
fully reduce 18/10 plz i need help
Answer:
9/5
Step-by-step explanation:
A car rental company charges a daily rate of $ 23 plus $ 0.20 per mile for a certain car. Suppose that you rent that car for a day and your bill (before taxes) is $ 44.00. How many miles did you drive?
Answer: 105 miles
(44-23)/0.20
quick easy math question please help write in fraction form brainliest will be awarded :)))
- [tex]\frac{5}{8}[/tex] + [tex]\frac{3}{4}[/tex]
Answer:
- 5/8 + 3/4 = 1/8
Step-by-step explanation:
I hope this helps!
the product of m and the sum of m and 82. Tranlate into a variable expression
Step-by-step explanation:
This expression will be;
m(m + 82).
At a farmer’s market, a basket of strawberries costs $20 and a basket of peaches costs $18. On Saturday, 23 baskets were sold and $430 collected. If x represents the number of baskets of strawberries and y represents the number of baskets of peaches, how many baskets of peaches were sold on Saturday?
Answer:
The number of basket of strawberries are 8 and number of basket of peaches are 15.
Step-by-step explanation:
As given
x = represents baskets of strawberries .
y = represents baskets of peaches .
As given
At a farmer’s market, a basket of strawberries costs $20 and a basket of peaches costs $18.
On Saturday, $430 worth of strawberries and peaches were sold, and a total of 23 baskets were sold.
Than the equations becomes
x + y = 23
20x + 18y = 430
Multiply x + y = 23 by 20 and subtracted from 20x + 18y = 430.
20x - 20x + 18y - 20y = 430 - 460
-2y = -30
2y = 30
y = 15
Put y = 15 in the equation x + y = 23
x + 15 = 23
x = 23 - 15
x = 8
Therefore the number of basket of strawberries are 8 and number of basket of peaches are 15.
Answer:
D 15 baskets of peaches
Step-by-step explanation:
took the test
multiply
3 2/5 x 2 1/3
Answer:
in simplest form its 119/15 but in a different form its 7 14/15
Step-by-step explanation:
what is the slope of the line
NEED HELP ASAP PLEASE!!!!
The frequency tables below show the amount of weight loss during the first month of a diet program for both males and females. Identify the graph that shows the corresponding frequency polygons.
Answer: did you get the answer ?
Step-by-step explanation:
1. You are conducting a survey of the people in the United States to find out how popular racket sports (tennis, badminton, racquetball, etc.) are. You randomly choose people to call and make 1,000 calls to people across the country. In this study, what is the statistics term for the people you called? A. Both the people of the U.S. and the people you call are populations B. The people of the U.S. are the population and the people you called are the sample C. The people of the U.S. are the sample and the people you called are the population D. Both the people of the U.S. and the people you called are samples
Answer:
welcome to brainly thanks for adding your first question i hope you enjoy it here at brainly
Step-by-step explanation:
D. Both the people of the U.S. and the people you called are samples
because if you choose a population and residents they would problaly give you the same things and others from the sample will give you different answers so d is your best bet
hope this helps enjoy brainly
need help..................
Answer:
The answer is D
Step-by-step explanation:
(4x6)^3
(24)^3=13,824
when you multiply 4^3 with 6^3 you get the same answer of 13,824
Answer:
Answer=D
Step-by-step explanation:
(for powers outside a bracket it splits in the numbers inside the bracket)
(4×6)^3
=([tex]4^{3}[/tex]×[tex]6^{3}[/tex]) as in D
To proof
-if we multiply them first we will get 24 and that to the power of three will equal to 13824.
-if we did as in the answer so,
[tex]4^{3}[/tex]×[tex]6^{3}[/tex]
=64×216
=13824
they are equal to each other 13824=13824 so answer D is correct.
What's the answer please
Answer:
A. (3V/B) = h
Step-by-step explanation:
V = (1/3)Bh
3V = Bh
(3V/B) = h
Mr. Townsend needs to make 13 pairs of butterfly wings for costumes for a play. Each pair of wings is made with ¾ yard of fabric. The fabric costs $8 per yard. You'll apply properties of multiplication in the following steps to find the total cost of the fabric.
Answer:
Step-by-step explanation:
1 pair of wings = 3/4 yard fabric
We know that 1 yard of fabric = $8
1 pair of wings = $8 x 3/4 = $6
Therefore total cost = $6 x 13 = $78
The total cost of the fabric is $ 78
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of pairs of butterfly wings = 13 pairs
The amount of fabric used in 1 pair of butterfly wings = 3/4 yards
The cost of 1 yard of fabric = $ 8
Now , the equation will be
The cost of 3/4 yard of fabric = 3/4 x cost of 1 yard of fabric
= 3/4 x 8
= 3 x 2
= $ 6
Now , the equation is
The total cost of fabric for 13 pairs of butterfly wings =
13 x cost of 3/4 yard of fabric
The total cost of fabric for 13 pairs of butterfly wings = 13 x 6
= $ 78
Therefore , the cost is $ 78
Hence , The total cost of the fabric is $ 78
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ5
Lines m and n are parallel. What is
Answer:
Line m and m is a straight line
When do we use inequalities?
Answer: In math but if u mean “irl” they use it in business like how much is in there inventory (stock) and the price stock they can make to get an profit and etc.
Step-by-step explanation:
Determine the degree of the polynomial.
8a9 – 2a + 1
Answer:
Determine the degree of the polynomial.
8a9 – 2a + 1
Step-by-step explanation:
8a9 – 2a + 1
A kilometer is 1,000 meters because kilo is a prefix that means 1,000. The prefix mega means 1,000,000 and giga (as in gigabyte) means 1,000,000,000. One byte is the amount of memory needed to store one letter of the alphabet. About how many of each of the following would fit on a 1-gigabyte flash drive?
Answer: 10 megabytes
10,000 kilobytes
Step-by-step explanation:
Can any repeating decimal can be written as a fraction or a mixed number? Only a true or false is needed.
Answer:
True
Step-by-step explanation:
What is the answer 2x3-5+7=
Answer:
300000000
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Hope this helps :)
Brainest pls?
A quality control manager is inspecting four digital scales to see if they accurately reflect a weight of 0 ounces. The table shows the weight displayed on four empty scales.
Empty Scale Weight Displays
Scale 1
–1 ounce
Scale 2
–2 ounces
Scale 3
0 ounces
Scale 4
–1 ounce
What is the average error in the scale displays?
Answer:
-1 Ounces
Hope this was helpful!
Answer:
-1 ounce
Step-by-step explanation:
A man's age today is 2 years more than three time the age his son will be in 5 years from now. if a represent the age of the son write an expression to find the age of the man today
Answer:
3a*5 = (age of man) +2
Step-by-step explanation:
in the real world humans hear sound as an analog signal. this means the signal is a continuous waveform which is completely processable by human ears. however machines 'hear' sound a little differently as they process sound digitally which is a discrete waveform. when sound is recorded or transmitted electronically the continuous (analog) waveform is sampled to convert it to a discrete (digital) sequence. sampling is the process of reducing a continuous time signal to a discrete-time signal. as the sampling rate increases the sound quality of the recording or transmission will improve. the graphs below represent two different samples of pure tone. sample one is taken 8 times per unit of time. sample two is taken 16 times per unit of time. a) why would sample 2 reproduce a better replication of the pure signal? b) write a sinusoid model for sample 2
Answer:
y=7.75cos(pi/8(x)) + 7.75
Step-by-step explanation:
A= 15.5 - 0 = 15.5/2 = 7.75 (Max Y - Min Y)
P = 16-0 (Distance between Max x and next Max x)
F= Pi/8
Midline= 7.75
Vertical Shift = Midline = 7.75
Answer for A since the other person answered only B
Sample 2 would reproduce a better replication of the pure signal because it records more frequently, meaning that it would be closer to being a continuous waveform when compared to sample 1.
You purchase a total of 10 books. Some of the books are paperback and some are hardcover.
The number of paperbacks is two less than three times the number of hardcover books. How
many of each did you buy?
Answer
You bought 7 paperbacks and 3 hardcovers.
Step-by-step explanation: This doesn't seem college level! Jokes aside, you solve this with a system of equations. Your first equation is 10 = p + h, where p stands for the number of paperbacks and h stands for the number of hardcovers. Your second equation is p = 3h - 2, meaning that the number of paperbacks is triple the number of hardcovers minus 2. Now, you just have to plug in p = 3h - 2 into your first equation, and you get 10 = (3h - 2) + h. 4h = 12, and h = 3, meaning the number of hardcovers must be 3. All you have to do now is subtract 3 from 10, and you have 7, which is the number of paperbacks!
Out of the total number of 10 books bought, there were 3 hardcovers and 7 paperbacks
Paperbacks are two less than three times the hardcovers. Assume the hardcovers are x, the paperbacks would be represented as:
= 3x - 2
Solving would give:
10 = Paperbacks + Hardcovers
10 = 3x - 2 + x
10 = 4x - 2
4x = 10 + 2
x = 12/4
x = 3 hardcovers
Paperbacks:
= 10 - 3
= 7
In conclusion, there are 3 hardcovers and 7 paperbacks.
Find out more at https://brainly.com/question/17082613.