What are the midline, amplitude, and period of this function?
у
2
1.5
1
0.5
х
-21
-11
0
2n
-O
-1
-1.5
-2
-2.5
-3
-3.5
-4
The midline is y =
The amplitude is
The period is
7T
Answers
The midline is y = -2, the amplitude is 1.5, and the period is 4π if the because function completes one revolution in 4π.
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
From the graph:
The midline is the horizontal line about which the graph of a function oscillates
y = -2
The amplitude is the half vertical distance the function travels around the midline.
Amplitude = 1.5
The period: the distance traveled to complete the one rotation:
Period = 4π
Thus, the midline is y = -2, the amplitude is 1.5, and the period is 4π if the because function completes one revolution in 4π
Learn more about the function here:
brainly.com/question/5245372
#SPJ2
Answer:
Step-by-step explanation:
Related Questions
The half-life of Palladium-100 is 4 days. After 12 days a sample of Palladium-100 has been reduced to a mass of 7 mg.
Answers
Answer:
I think this is correct but im not sure..
Step-by-step explanation:
12 days is 3 half-lives ... so, 1/8 initial ... (1/2)^3 = 1/8
... initial is 8 mg
4 weeks is 7 half-lives ... 8 mg * (1/2)^7 = ?
Answer:
56 mgStep-by-step explanation:
Let the initial mass of sample is x mgWe have the following equation:
x* [tex](\frac{1}{2}) ^{12/4}[/tex]= 7x*[tex](\frac{1}{2}) ^{3}[/tex] = 7x*[tex](\frac{1}{8} )[/tex] = 7x = 7*8x = 56 mgAuntie Sammy buys a hand bag. There was a discount
of 20%.
If Auntie Sammy paid $245, what was the original price?
Answers
Answer:
Step-by-step explanation:
I think the original proce would be $265
1. Subtract the percentage discount from 100
100 - 20= 80
2. Multiply the final price($245) by 100
245 × 100= 24,500
3. Divide the answer in step 2 by the answer in Step 1
24,500 ÷ 80= $306.25
answer is $306.25
How to check to ensure your answer is correct:
1. Multiply the "answer" by the discount price divided by 100. This will give the discount percentage in dollars.
$306.25 × 0.2( which is 20÷100)= $61.25(discount in dollars)
2. Subtract the discount in dollars from the "answer"
$306.25 - $61.25= $245(final price is the same as in the problem so it is correct)
OR
1. Multiply the original price by the number you get from step 1 in your problem divided by 100
$306.25 × 0.8(80 from the very first step divided by 100)= $245(the final price is the same given in the question)
A public health researcher wishes to study the dietary behavior of residents in Durham County. The researcher randomly contacts 35 county residents and collects data on their daily sugar intake and obtained a sample average of 37.4 grams of sugar per day and a sample standard deviation of 4.2 grams per day. Assume the mean daily sugar intake of all residents in the county is normally distributed. Construct a lower bound for a 95% confidence interval for the mean daily sugar intake of residents in Durham County using this data. (Give your answer to 3 decimal places)
Answers
Answer:
95% confidence interval for the mean daily sugar intake of residents in Durham County using this data
(35.9573, 38.8427)
Lower limit = 35.9573
Step-by-step explanation:
Step(i):-
Given that the size of the sample 'n' = 35
Given that the mean of sample x⁻ = 37.4gms
Given that the standard deviation of the sample 'S' = 4.2 gms
Level of significance = 0.05
Degrees of freedom
γ = n-1 = 35-1 = 34
t₀.₀₅ = 2.0322
Step(ii):-
95% confidence interval for the mean daily sugar intake of residents in Durham County using this data
[tex](x^{-} - t_{0.05} \frac{S}{\sqrt{n} } , x^{-} + t_{0.05} \frac{S}{\sqrt{n} } )[/tex]
[tex](37.4 - 2.0322 \frac{4.2}{\sqrt{35} } , 37.4 + 2.0322 \frac{4.2}{\sqrt{35} } )[/tex]
(37.4 - 1.4427 , 37.4+1.4427)
(35.9573, 38.8427)
Final answer:-
Lower 95% confidence interval for the mean daily sugar intake of residents in Durham County using this data
Lower limit = 35.9573
Correct answer please i need help
Answers
9514 1404 393
Answer:
-368.8 ft
Step-by-step explanation:
distance = velocity × time
Here, we'll use a negative for speed downward, and positive for speed upward.
elevation = (-4.5 ft/s)(98 s) +(1.9 ft/s)(38 s) = -441 ft +72.2 ft
elevation = -368.8 ft
Pianni Beverages produce two ready-mixed cocktail drinks; the Zombie and the Skyjack. Each is a mixture of vodka, vermouth, and ginger. It takes 3 litres of vodka, 6 litres of vermouth and 1 litre of ginger to make 10 litres of Zombie. It takes 5 litres of vodka, 3 litres of vermouth and 2 litres of ginger to make 10 litres of Skyjack.
The company makes £150 profit per 10 litres of Zombie and £200 profit per 10 litres of Skyjack. The maximum available supplies per day are: 1500 litres of vodka, 1500 litres of vermouth and 400 litres of ginger. Pianni Beverages wants to maximize profits on a daily basis by producing the optimal number of Zombie and Skyjack.
Answers
Answer:
£32000 is the answer to that question and I appreciate your help
Select the correct answer from each drop-down menu. Graph the function . The vertex of the graph is at ___. The direction in which the graph opens is ___.
Answers
Answer:
The vertex of the graph is at (0,12)
The direction the graph opens is upward.
Step-by-step explanation:
Answer:
The vertex is (0,12)
The graph opens in a upward direction
Step-by-step explanation:
I got this correct on my test, hope this helped
If cos A= 1/8 With A in QIV, find sec A/2
Show work
Answers
Recall the half-angle identity,
cos²(x/2) = (1 + cos(x))/2
The angle A terminates in the fourth quadrant, so 270° < A < 360°. Then the corresponding half-angle terminates in the second quadrant, since 135° < A/2 < 180°, so cos(A/2) < 0. This means
cos(A/2) = - √((1 + cos(A))/2) = -3/4
so that
sec(A/2) = 1/cos(A/2) = -4/3.
Malia and her sister walk at a constant rate of 4 miles per hour. At this constant rate, how long should it take Malia and her sister to walk 3 miles?
A. 0.75
B. 1.25
C. 1.5
D. 12
Answers
Find the value of x.
6
14
3x-12
8
8
21
x = [?]
Answers
Answer:
Step-by-step explanation:
That line that separates the triangle vertically is an angle bisector. That creates a ratio between the resulting 2 triangles:
[tex]\frac{6}{3x-12} =\frac{14}{21}[/tex] and cross multiply:
14(3x - 12) = 21(6) and
42x - 168 = 126 and
42x = 294 and
x = 7
If m R = 29, what is m O? The figure is not drawn to scale
A. 29
B. 61
C. 151
D. 58
Answers
1. Becky needs to earn an average of 85% on her Stats tests in order to maintain her current GPA. IF
she has gotten the following scores so far, what does she need to get on her next test to maintain at
least an 85% average?
85, 78, 92, 84, 93
Answers
Answer:
78%
Step-by-step explanation:
85 × 6 = 510
85 + 78 + 92 + 84 + 93 = 432
510 - 432 = 78
Check
85 + 78 + 92 + 84 + 93 + 78 = 510
510 ÷ 6 = 85
twice a number x added to 10
2x + 10
x + 10
10x + 2
2x/2 + 10
Answers
Answer:
2x+10
Step-by-step explanation:
whatever your number is (x) you would multiply by 2 then add that to 10
Find the area of the complex figure.
Answers
Answer:
1,863
Step-by-step explanation:
Need help will mark Brainliest
Answers
Answer:
53 degrees
Step-by-step explanation:
W-6.67=2.27
I need help with this
Answers
Find the length of the third side. If necessary, write in simplest radical form
Answers
HERE,
the [tex]\huge{\triangle}[/tex]is a right angle traingle.
length of one side=[tex]\bold{ 1 }[/tex]
length of another side =[tex]\bold{\sqrt{3} }[/tex]
so,
the length of third side=
[tex]\bold{\sqrt{(1)^{2} +({\sqrt{3}})^{2}} }[/tex] [tex]\bold{\sqrt{1+3} }[/tex] [tex]\bold{\sqrt{4} }[/tex] [tex]{\huge{\fcolorbox{aqua}{navy}{\fcolorbox{yellow}{blue}{\bf{\color{yellow}{2}}}}}}[/tex][tex]\therefore[/tex],the length third side of the traingle is 2.
The figure below shows ∠ABC formed by the hands of the clock at 4 o’clock. What is the measure of ∠ABC?
Answers
Answer:
120°
Step-by-step explanation:
30° x 4 = 120°
Full turn is 360
half is 180
and 180 degree = 6 parts
180÷6=30
7. Elijah is 5'9" tall and casts a 4-foot shadow.
He is standing near a tree that casts a
24-foot shadow. How tall is the tree?
A. 30.2 feet
B. 32.8 feet
C. 34.5 feet
D. 36.1 feet
Answers
If the shadow of the tree is 6 times the shadow of Elijah. Then The tree is 6 times the die of Elijah We can consider similar triangles
5ft x 6 = 30 ft
9 inches x 6 = 54 inches. = 4.5 feet
30 +4.5 = 34.5
A website administrator is considering using one of the two models above to predict the total number of purchases, P, made x weeks after the website's advertisin(g campaign begins. How many more purchases are predicted by the exponential model than by the linear model 5 weeks after the advertising campaign begins?
P = 2000x
P= 500(2^x)
A. 6000
B. 8000
C. 10,000
D. 16,000
Answers
9514 1404 393
Answer:
A. 6000
Step-by-step explanation:
Use x=5 and evaluate each model.
Linear model
P = 2000(5) = 10,000
Exponential model
P = 500(2^5) = 500(32) = 16,000
The difference in the predicted value is ...
16,000 -10,000 = 6,000 . . . more are predicted by the exponential model
what is y−(−3y) help plzz
Answers
The answer is 4y
How many solutions will the equation have?
|x- 13| - 5= -5
Answers
Answer: x=13
Step-by-step explanation: Hope this help :D
Answer:
One Solution
__________
x = 13
__________
Explanation:
| x – 13 | – 5 = -5
[Add 5 to both sides to isolate | x – 13 | and cancel out –5]
| x – 13 | – 5 + 5 = -5 + 5
[Reduce]
| x – 13 | = 0
[An absolute value can include both a positive and negative value so |x| = n → x = ±n ]
x – 13 = ± 0
[Add 13 to both sides to get the value of x]
x – 13 + 13 = 13 ± 0
x = 13 ± 0
[Adding or subtracting zero will leave you with the same number]
x = 13
3/4 divded by 6/4 - PLEASE HELP
Answers
Answer:
Exact form: 1/2
Decimal form: 0.5
Step-by-step explanation:
Answer:
1/2 is the answer
Step-by-step explanation:
3/4 * 4/6
1/2
Robert works for Southern Consulting as a sales executive. He is paid a monthly salary of $3,350.00 plus a straight commission of 4.3% on all sales over $10,100.00. If he sells $15,300.00, what is his total gross pay for the month?
Answers
Answer:
$3,573.60
Step-by-step explanation:
.043 x (15300 - 10100) = 223.60
223.60 + 3350.00 = 3573.60
giving brainliest !!!!!
Answers
Answer:
400mm
Step-by-step explanation:
20x20=400
Which of the equations below could be the equation of this parabola?
10+
(0, 0)
10
Vertex
-10
O A. x = 3y2
B. y = 3x2
O C. X=-3y2
D. y = -3x2
Answers
Answer:
C. x=-3y^2
Step-by-step explanation:
The group of parabola opens left so, x=ay^2
parabola opens left so a in negative x=-3y^2
Hope it helps....
Find the values of the constants p and q if the lines px + 5y = 7 and
4x + qy = 5 meet at the point (2, -1). If the lines meet the y-axis at A and B
obtain the distance AB.
Answers
Answer:
2/5
Step-by-step explanation:
Show that A and B are not similar matrices. A = 2 1 −4 9 , B = 3 −1 −5 7 Since A has characteristic polynomial p() = and B has characteristic polynomial p() = , the two matrices are not similar.
Answers
Answer:hey besties
Step-by-step explanation:
Pew pew
The slope of a line is 0, and the y-intercept is 6. What is the equation written in slope intercept form.
Answers
Answer:
y=0x+6
Step-by-step explanation:
slope intercept form is: y=mx+b
A student correctly write 0.15 as a percent. Of the student writes the answer in the form x % , what is the value of x
Answers
Answer:
The answer should be 15%
Step-by-step explanation:
Im currently in Algebra 2
This is supposed to be a substitution method problem.
2x-2y=2 and x-3y=6
