1.13 UNIT TEST GRAPH OF SINUSOIDAL FUNCTION PART 1
What is the equation of the midline for the function f(x)?
f(x) =1/2 sin(x)+6
Answers
Answer:
The equation of the midline for the function [tex]f(x)[/tex] is [tex]y = 6[/tex].
Step-by-step explanation:
The sinusoidal function of the form [tex]y = A_{o}+A\cdot \sin x[/tex] is a periodic function whose range is bounded between [tex]A_{o}-A[/tex] (minimum) and [tex]A_{o}+A[/tex] (maximum). The equation of the midline is a line paralel to the x-axis, that is:
[tex]y = c,\forall\, c\in \mathbb{R}[/tex] (1)
Where [tex]c[/tex] is mean of the upper and lower bounds of the sinusoidal function, that is:
[tex]c = \frac{(A_{o}+A+A_{o}-A)}{2}[/tex]
[tex]c = A_{o}[/tex] (2)
If we know that [tex]y = \frac{1}{2}\cdot \sin x + 6[/tex], then the equation of the midline for the function [tex]y[/tex] is:
[tex]c = A_{0} = 6[/tex]
[tex]y = 6[/tex]
The equation of the midline for the function [tex]f(x)[/tex] is [tex]y = 6[/tex].
Related Questions
Which system of inequalities has this graph as its solution?
y 10
-10
- म
5
10
-10
OA. y < 21 - 3
y
OB.y > 2 - 3
y> : +4
Ocy > 21 - 3
y < = + 4
Answers
equivalent fractions for 2 4/5 and 2 2/3 plz help I will mark brainliest
Answers
Answer:
24/5: 48/10
22/3: 44/6
plz mark me as brainliest.
Find mzw.
X
po
w
(x + 12°
Need help
Answers
Answer:
∠ W = 51°
Step-by-step explanation:
Since WX is the diameter , then
∠ WYX = 90° ( angle in a semicircle )
The sum of the 3 angles in a triangle = 180° , then
x + x + 12 + 90 = 180
2x + 102 = 180 ( subtract 102 from both sides )
2x = 78 ( divide both sides by 2 )
x = 39
Then
∠ W = x + 12 = 39 + 12 = 51°
Attempt in Progress The table shown below gives seven pairs of x and y values. X Y 12 18 9 35 14 12 8 40 10 31 4 33 18 10 Using the regression of y on x, the predicted value of y for x = 15, rounded to two decimal places, is:
Answers
The predicted value of y when x = 15 is given as follows:
15.8.
How to find the equation of linear regression?To find the regression equation, which is also called called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator.
The points in this problem are given as follows:
(12, 18), (9, 35), (14, 12), (8, 40), (10, 31), (4, 33), (18,10).
Inserting these points into the calculator, the line of best fit is given as follows:
y = -2.28x + 50.
When the value of y when x = 15 is given as follows:
y = -2.28(15) + 50
y = 15.8.
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The weights of four puppies are shown in pounds
9.5
9 3/8
9.125
9 3/4
Which list shows these weights in order from greatest to least?
9 3/4 9.5 9 3/8 9.125
9.5 9 3/8 9 3/4
9.125 9.125 9 3/8 9.5 9 3/4 9 3/4 9 3/8 9.5 9.125
Answers
sorry this is probably easy but i need help
Answers
Answer:
Step-by-step explanation:
there is 1,000 total students... so divide 360 / 1000
so you have 0.36 for each student... then multiply by the freshmen,
.36 * 300 = 108 :)
What is the solution of 3x + 5 = 2x - 7?
Answers
Answer:
[tex]x=-12[/tex]
Step-by-step explanation:
[tex]3x+5=2x-7[/tex]
Subtract 2x from each side,
[tex]x+5=-7[/tex]
Subtract 5 from each side to find x,
[tex]x=-12[/tex]
Find the midpoint between the two points.
Answers
Answer:
(1,3) is the answer.
Step-by-step explanation:
hope you get it right!!
plx help dont lie about the right answer
Answers
Answer:
c
Step-by-step explanation:
7 x 10 + 3 x 1 + 8 x
+ 5 x
100
1,000
Answers
Answer:
8x+5005073
Step-by-step explanation:
advance pile up trigonometry
Answers
Answer:
x = 6.9168 or x = 7
Step-by-step explanation:
Hope that helps :)
Question 6 options:
The diameter of a circle is 35.7 yards. The circle's circumference is about ___ yards.
Use 3.14 for .
Answers
Answer:
C = 112.098yds
Step-by-step explanation:
Where finding the circumference so do pi times diameter.
C = 3.14×d
C = 3.14×35.7
C = 112.098yds
PLEASE HELP!! This is due today!
Answers
Answer:
$20.4
Step-by-step explanation:
20% of 17= 3.4
Add it to the initial $17 and you get $20.4
Answer: $20.40
Step-by-step explanation:
Since you're giving a 20% tip, your total will be 120% the price of the shampoo and cut.
17 * 120%
= 17 * 1.2
= 20.4
The total amount of money you spent at the salon and barbershop is $20.40
Your answer is correct :)
The two pentagons are similar. Find the missing side lengths.
X
12 ft
y
15 ft
21 ft
3
21 ft
N
18 ft
24 ft
Answers
Write a statement that correctly describes the relationship between these two sequences: 2, 4, 6, 8, 10 and 1, 2, 3, 4, 5.
(giving brainlest)
Answers
Answer:
first multiples of 2 and second multiples of 1
What is the length of side AB
Answers
Answer:
if two Angles have equal measure then the slide opposite to them equal in the length is 6 units
What is the value of this prism?
A) 56.3
B) 11.75
C) 31.5
D) 63.0
Please help :P
Answers
Answer:
The value of the prism is 56.3
Don’t put no links just put a answer now can someone help me
Answers
On her coffee table, Anita has a pile of 9 magazines. She plans to get through 2 of them over
the weekend. How many sequences of 2 magazines are possible?
sequences
Answers
Answer:
either of the 2 is read so the answer is 2/9
On a snorkeling trip, Dave dove at least 7 times as deep as Amy did. If Dave dove below 35 feet below the oceans surface, what was the deepest that Amy dove?
Answers
Answer:
The deepest that Amy dove below the ocean's surface is 5 feet.
Step-by-step explanation:
Let the deepest that Amy dove below the ocean's surface be x.
7x = 35
x = 5 ft
what is the 3.5mi circumstances i also need help with this if you guys can help me
Answers
Last year, a property manager bought seven identical snow shovels and nine identical bags of salt. The total cost of the snow shovels was $241.50, before tax, and each bag of salt cost $6.20, before tax. This year, the property manager bought 3 identical snow shovels and six identical bags of salt. The total cost of the snow shovels was $105.57, before tax, and the total cost of the bags of salt was $39.06, before tax. Determine the item with the greatest percent increase in the price from last year. Be sure to include the percent increase for this time to the nearest percent.
Answers
Answer:
Step-by-step explanation:
The formula to approach this shall be:
( Final price - Initial price )/ Final price × 100/1 ............. 1
Hence for the snow shovels
Initial price = $241.50 for 7
Each will cost = $241.50/7
= $34.5
Final price for snow shovels
= $105.57 for 3 shovels
Each will cost = $105.57/3
= $35.19
Now considering the bags of salt
Initial price = $6.20 each
Final price = $39.06 for 6 bags
Each bag cost = $39.06/6
= $6.51
Now apply the formula in equation (1)
For snow shovels
($35.19- $34.5)/$34.5 × 100/1
= 0.69/34.5 × 100/1
= 0.02×100/1
= 2%
For bags of salt
($6.51-$6.20)/$6.20 ×100/1
0.31/6.20×100/1
0.05×100/1
= 5%
Hence from the above solution, we can now deduce that shovel increased by 2% while bags of salt went up by 5%.
(-3)=−22−3+11
EVALUATE
Answers
Answer:
− 3 = − 14
Step-by-step explanation:
Hope this helps !
Give some memes please
Answers
Answer:
oh no homework not done
Step-by-step explanation:
mom:
Using the information in part A, interpret the meaning of the quotient in terms of the two fractions given
Answers
Answer:
hello the information in part A is missing below is the missing information
How many 2/3 foot pieces can Wendy cut from the 5 and 1/3 feet of ribbon? Show your work
answer : 8
Step-by-step explanation:
The quotient in terms of the two fractions
Determine 2/3 foot that can be gotten from 5 1/3
Divide 5 1/3 by 2/3 ( how to get quotient )
= 5 1/3 / 2/3
= (16 / 3 ) / ( 2/3 ) ( meaning of the quotient )
= 8
factorize the equation 6x^2+13x+6
Answers
Answer:
(2x+3)(3x+2)
Step-by-step explanation:
.....
......
..............
Answer:
(2x + 3)(3x + 2)
Step-by-step explanation:
[tex]6x^2+13x+6 \\ \\ = 6x^2+9x + 4x+6 \\ \\ = 3x(2x + 3) + 2(2x + 3) \\ \\ = (2x + 3)(3x + 2)[/tex]
For a standard normal distribution (u=0, 0=1), the area under the curve less than 1.25 is 0.894. What is the approximate percentage of the area under the curve less than -1.25? 0.894 0.394 0.211 0.106
Answers
After considering all the given data we conclude that approximate percentage of area under the curve is 10.6%, which is approximately 0.106 as a decimal or 53/500 as a fraction
In case of standard normal distribution, the area under the curve less than 1.25 is 0.894.
Then the standard normal distribution is symmetric about the mean, the area under the curve less than -1.25 is the same as the area under the curve greater than 1.25.
Hence, the approximate percentage of the area under the curve less than -1.25 is approximately
(1 - 0.894) * 100% = 10.6%,
which is approximately 0.106 as a decimal or 53/500 as a fraction
To learn more about standard normal distribution
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A family drinks 2 gallons of milk in 3 days,
At that rate, how many gallons will the family
drink in 15 days?
Answers
Answer: This is what I have tried --
5 gallons : 3 weeks = x gallons : 52 weeks
5/3 = x/52 (cross multiply)
3x = 260 (divide by 3)
x = 86.6 or 87 gallons
Step-by-step explanation: hope this is right
Answer:
10 gallons of milk
Step-by-step explanation:
This question is a ration every three days the family drinks 2 gallons of milk (3:2) to find how much they would drink in 15 days all you would have to do is multiple both numbers by 5 to get 15:10. This represents how much milk they drink in 15 days.
Write an equation of the line perpendicular to the given line that contains P.
Answers
Step-by-step explanation:
As the required line is perpendicular to y = (1/2)x + 5, product of slope of y = (1/2)x + 5 and required line should be - 1.
=> (1/2)m = - 1
=> m = - 2
Thus, required line is
=> y - (-8) = (-2)(x - 3)
=> y + 8 = -2(x - 3)
The complex number z = -1 -i is given.
a) Write down this number in the trigonometric form.
b) Calculate all the roots of √z and plot them all on the complex plane.
Answers
The trigonometric form of the complex number z = -1 - i is z = √2cis(3π/4) and the roots of √z are √2/2cis(3π/8) and √2/2cis(11π/8).
a) Trigonometric form of the complex number z = -1 - i is given by:
r = |z| = √(1²+1²) = √2θ = arctan(-1/-1) + π = 3π/4
Therefore, z = √2cis(3π/4)b)
Since, √z = (√2cis(3π/4))/2
= (√2/2)(cis(3π/4)/2), the roots of √z are given by:
√2/2cis(3π/4 + 2nπ)/2, where n = 0, 1.
Therefore, the roots are √2/2cis(3π/8) and √2/2cis(11π/8) and they are plotted as shown below:
In summary, the trigonometric form of the complex number z = -1 - i is z = √2cis(3π/4) and the roots of √z are √2/2cis(3π/8) and √2/2cis(11π/8).
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