Find the amplitude and the period of the graphed function; please show work or steps.
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Answers:
Amplitude = 2Period = 5pi/2===========================================
Explanation:
The lowest point occurs when y = -2. The highest point occurs when y = 2.
The vertical distance between the highs and lows is 4 units (since 2-(-2) = 2+2 = 4). This cuts in half to get 4/2 = 2.
The amplitude is 2. It measures the vertical distance from the midline to either the peaks or valleys.
-----------------------------
Note that this curve has two lowest points and one highest point shown. What we'll do is shift the graph over to the right so that each of those lowest points snap to a grid point. The lowest point on the left will move to where x = -pi, while the lowest point on the right snaps to x = 3pi/2. We'll keep each point at the same y coordinate.
The horizontal distance from x = -pi to x = 3pi/2 is
(3pi/2) - (-pi) = 3pi/2 + 2pi/2 = 5pi/2
This represents the horizontal distance from the left valley point to the right valley point. This is one full period of the curve. After we arrive at the right valley point, we repeat the process of going up and coming back down in this exact same fashion. The process is repeated forever to generate the cosine curve. The curve repeats itself every 5pi/2 units along the x axis.
Side note: any phase shift of a curve will have the same period as the original curve. This is why we're allowed to shift left or right to help find the period.
Related Questions
pls help me im sooo stuck on math
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You can add up the angles that are labeled(73,110,and 90 because of the right angle) and get 273.
For a quadrilateral, all of the angles add up to 360.
So, subtract 360-273.
You get 87.
Hope this helps:)
5th grade math. correct answer will be marked brainliest, answer the question please!
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I put the work and answer in the picture attached!
For some reason Brainly thought I had swear words in here so I took a picture of my answer instead. :)
This pyramid has a square base.
The length of each side of the square is 11 cm.
Each triangular face has an area of 62 cm2.
What is the total surface area of the pyramid?
11 cm
Answer:
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In a half-time skills contest Addison received $5 for each free throw she made and $10 for each 3- point shot. She earned a total of $140. The amount of free throws she made was four less than twice the amount of three pointers. How many of each did she make?
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Answer:
o.o
Step-by-step explanation:
Aubrey was buying candy for goodie bags for her birthday party. She bought 6 pounds of Jelly beans. How much did she spend on Jelly Beans? (please don´t guess)
Answers
Answer:
$8.35
Step-by-step explanation:
6 pounds is $8.35
which pair of terms has 4a as the greatest common factor ? 8a and 18a , 8b and 16a , 12a and 16ab , 20a and 27a
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Answer:
12a and 16ab
Step-by-step explanation:
In a cafeteria, 1/6 of the students are eating salads , and 2/3 are eating sandwiches. There are 12 students in the cafeteria. How many students are eating lunches other than salads or sandwiches?
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Answer:
2 other people
Step-by-step explanation:
Help Please!!!
Thanks
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Answer:
d i hope please be d please please
Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly without making mistakes
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Answer:
yz + z = -22
Step-by-step explanation:
Ok so you are already the number that y = 10 and z = -2. You will plug these number in the equation in order to find the answer. :-
y = 10 and z = -2
yz + z
10(-2) - 2
-20 - 2
-22
Hope this helps, thank you :) !!
Ahh help!!
The paper water cups near the water jug are cones of radius 2 inches and height 4 inches if a water bottle of cylindrical shape has a radius of 2 inches and a height of 8 inches how many full paper cups of water are required to fill one water bottle?
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Answer:
I think its 678.24
Hope it helps!
Need help with math homework
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The price of a car was Rs.1,50,000 last year. It has decreased by 10% this
year. The new price is
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Answer:
$135000
Step-by-step explanation:
150000*(1-0.1)=150000*0.9=135000
What is the right answer
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Answer:
Earth, Sun, Sun, Earth
Step-by-step explanation:
A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 402 gram setting. It is believed that the machine is underfilling the bags. A 23 bag sample had a mean of 400 grams with a variance of 900. A level of significance of 0.025 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.
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Answer:
Kindly check explanation
Step-by-step explanation:
H0 : μ ≥ 402
H1 : μ < 402
Test statistic :
n = 23
Sample Mean, x = 400
Variance = 900
σ = sqrt(900) = 30
Test statistic = (x - μ) ÷ σ/sqrt(n)
Test statistic = (400 - 402) ÷ 30/sqrt(23)
Test statistic = - 2 / 6.2554324
Test statistic = - 0.3197221
Test statistic = - 0.3197
Critical value :
Using the Tcritical value calculator
Tcrit; α = 0.025, df = n - 1 = 23 - 1 = 22
Tcritical = 2.074
Reject Null : if Test statistic ≤ Tcritical (left tail test)
Since ;
Test statistic ≤ Tcritical ; We reject the Null
Five adult tickets and three child tickets for a movie cost £58.
Two adult tickets and eight child tickets for a movie cost £47.
Find the cost of each type of ticket.
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Answer:
Step-by-step explanation:
Answer:
so for the first one the cost for all the tickets is 412
for the last one the cost is 333
Step-by-step explanation:
You and 3 friends meet at Magnolia Bakery. Your bill is $76.20 & you leave a 15% tip. What is the total bill?
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Answer:
$87.63
Step-by-step explanation:
Given data
Your bill= $76.20
Tip= 15%
Let us find the amount of 15% tip
=15/100*76.20
=0.15*76.20
=$11.43
Hence, the total bill is
=11.43+76.20
=$87.63
Ms. Wolf goes shopping at Target and spends $38.75. Sales tax is 8%.
Enter the answer for question B: How much does she pay in total?
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Answer:
you have to do the sales tax, times the price $3.10
then you add the $3.10 to the original price which is $41.85
Step-by-step explanation:
Find the measure of arc JMK.
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Prove that there is no complex number such that | z | −z = i
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The proof is shown below:
What is complex number?A complexb number is the of a real number and an imaginary number. A complex number is of the form a + ib and is usually represented by z. Here both a and b are real numbers. The value 'a' is called the real part which is denoted by Re(z), and 'b' is called the imaginary part Im(z). Also, ib is called an imaginary number.
The alphabet i is referred to as the iota and is helpful to represent the imaginary part of the complex number. Further the iota(i) is very helpful to find the square root of negative numbers.
We know
z= a +ib
and |z|= √a² + b²
So, |z|-z =i
√a² + b² - a- ib=i
Now, comparing the coefficients
b=-1
√a² + b² - a = 0
√a² + (-1)² - a=0
√a² + 1 - a = 0
√a² + 1 = a
a² + 1 = a²
1= 0
Which is not possible.
Hence, there is no complex number such that | z | −z = i
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NEED HELP ASAP BRAINLIEST TO THE FASTEST.
Yolanda has two grandfather clocks in her home. One must be wound every six days. Other must be wound every 14 days. Yolanda winds up both clocks on December 15. When is the next time she will have to wind both of the clocks on the same day?
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Answer:
January 26 or in 42 days
Step-by-step explanation:
The smallest amount of days that both grandfather clocks share is 42 days. 42 days from December 15 is January 26.
hope this helps :)
I have $460 less than dotun. Altogether we have $1280. How much do we have
Answers
Answer:
you have $180, total there is $1280
Step-by-step explanation:
The required amount we have is given as $410, as of the given condition.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
here,
Let the amount we and Dotun has to be x and y,
According to the question,
x = y - 460- - -- - -(1)
x + y = 1280 - - - (2)
From equation 1
y - 460 + y = 1280
2y = 1280 + 460
y = 1740/2
y = $870
Now,
x = 870 - 460
x = $410
Thus, the required amount we have is given as $410, as of the given condition.
Learn more about models here:
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Write the quadratic equation whose roots are 6 and 2, and whose leading coefficient is 2
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Answer:
Step-by-step explanation:
y = 2(x-6)(x-2) = 2(x²-8x+12) = 2x² - 16x + 24
I really need help with this!
Answers
Answer:
3(2 + 9)
Step-by-step explanation:
The numbers 6 and 27 can be written as factored as
6 = 2 * 3
27 = 3 * 3 * 3
The both have one factor of 3 in common.
The greatest common factor (the GCF) of 6 and 27 is 3.
Now we factor out 3. To do that, we divide both 6 and 27 by 3.
6/3 = 2
27/3 = 9
We see that
6 + 27 = 3 * 2 + 3 * 9,
and the common factor of 3 is in both multiplications.
Finally, we factor out the 3, leaving the results of the divisions inside the parentheses.
6 + 27 = 3 * 2 + 3 * 9 = 3(2 + 9)
Answer: 3(2 + 9)
Solve this system of equations:
y = x - 4
y = 6x - 9
Show your work in the text box below.
also Write your answer as an ordered pair.
Answers
Answer:
y=-3 x=1 (1,-3)
Step-by-step explanation:
y=x-4
y=6x-9
y+4=x
y+9=6x
difference = 5
x+5=6x
x=1
y=-3
1,-3
Some help pls shhsnsshnasnnansnsnsnsnsnsnsnsnsnsnsnsnnsnsnsnsndndndndndndnnrnrnrnrnfn
Answers
Answer:
Step-by-step explanation:
B
the answer is A i wish that helped :)
Divide the given polynomial by the given monomial.
Answers
Answer:
Here is the answer. Solved
What is the ratio of 18 inches to 1 yard? (Change 1 yard to 36 inches before writing the ratio)
Answers
Answer:
1:2
Step-by-step explanation:
18 inches to 1 yard
We need to convert 1 yard to 36 inches
18 inches : 36 inches
Divide each side by 18
18/18 : 36/18
1:2
Answer all of these please
1.The product of a number and seven more than the number
2.The product of a number and seven less than the number
3.Eight less than twice a number is fourteen.
4.One less than three times a number is seven.
5. Four more than five times a number is two less than the number.
6.Ten less than a number is three more than six times the number.
7.Twice the sum of a number and 3 is 20.
Answers
Answer: 3. 22-8 / 4. 2x3.5 / 5.
Step-by-step explanation:
Step-by-step explanation:
1. 1×8=8
2. 9×2=18
3. 8+14=22÷2=11
4. 2.7
5. -1.5
6. closest -2.5
7.÷2=10-3=7
HELP PLZ DUE IN 10 MIN PLZ I WILL GIVE 200 point if right PLZ
Answers
Answer:
(3,1)
Step-by-step explanation:
Answer:
3,1
Step-by-step explanation:
Question 4 of 10
In each family of functions, the
the family
function is the most basic function in
O A simple
O 8. parent
O c. quadratic
O D linear
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Answer:
In each family functions, the parent function is the most basic function in the family.
In each family of functions, the parent function is the most basic function
How to complete the blank?A linear function is represented as:
y = mx + b
A quadratic function is represented as:
y = ax^2 + bx + c
The above and others of similar formats are the most basic of their families, and they are referred to as the parent function
Read more about parent function at:
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