Answers
Answer:
The function that could be the function described is;
[tex]f(x) = -10 \cdot cos \left (\dfrac{2 \cdot \pi }{3} \cdot x \right ) + 10[/tex]
Step-by-step explanation:
The given parameters of the cosine function are;
The period of the cosine function = 3
The maximum value of the cosine function = 20
The minimum value of the cosine function = 0
The general form of the cosine function is presented as follows;
y = A·cos(ω·x - ∅) + k
Where;
[tex]\left | A \right |[/tex] = The amplitude = Constant
The period, T = 2·π/ω
The phase shift, = ∅/ω
k = The vertical translation = Constant
Therefore, by comparison, we have;
T = 3 = 2·π/ω
∴ ω = 2·π/3
The range of value of the cosine of an angle are;
-1 ≤ cos(θ) ≤ 1
Therefore, when A = 10, cos(ω·x - ∅) = 1 (maximum value of cos(θ)) and k = 10, we have;
y = A × cos(ω·x - ∅) + k
y = 10 × 1 + 10 = 20 = The maximum value of the function
Similarly, when A = 10, cos(ω·x - ∅) = -1 (minimum value of cos(θ)) and k = 10, we get;
y = 10 × -1 + 10 = 0 = The minimum value of the function
Given that the function is a reflection of the parent function, we can have;
A = -10, cos(ω·x - ∅) = -1 (minimum value of cos(θ)) and k = 10, to get;
y = -10 × -1 + 10 = 20 = The maximum value of the function
Similarly, for cos(ω·x - ∅) = 1 we get;
y = -10 × 1 + 10 = 0 = The minimum value of the function
Therefore, the likely values of the function are therefore;
A = -10, k = 10
The function is therefore presented as follows;
y = -10 × cos(2·π/3·x) + 10
Related Questions
Manny begins the summer with $200 in his savings account. Each week he adds $85 to his account. Susan begins the summer with $95 in a savings account and adds $100 each week. When will Manny and Susan have the same amount of money in their accounts?
Answers
Answer:
7 weeks
Step-by-step explanation:
200 + 85w = 95 + 100w
-95 -85w -95 -85w
105 = 15w (divide both sides by 15)
7 = w
Find the midpoint of the segment with the following endpoints.
(10,6) and (3,1)
Answers
Answer:
(6.5 , 3.5)
Step-by-step explanation:
[tex]Midpoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\[/tex]
[tex]=(\frac{10+3}{2},\frac{6+1}{2})\\\\=(\frac{13}{2},\frac{7}{2})\\\\=(6.5,3.5)[/tex]
I NEED HELP AGAIN 5.0
Answers
Answer:
(-1,-3) (0,-5)
Step-by-step explanation:
Move dot at the origin to (-1,-3) down three and one to the left
Select other dot and move it to (0,-7)
Worth 10 points!! Help!
Answers
anwer: 7 the answer is 7
Answer:
Ruby needs 7 combined.
Step-by-step explanation:
If she needs 1/4 cup of powdered milk for one batch, then we multiply 1/4 by 4 to see how much she needs for 4 batches, which is 4/4, or one whole.
If she needs 3/2 cups of whole wheat for one batch, then we multiply 3/2 by 4 to see how much she needs for 4 batches, which is 12/2, or 6.
Then we combine 6 and 1, which is 7.
Solve for x: 3(2x + 4) = 2 + 6x + 10
Answers
Answer:
X can be anything.
Step-by-step explanation:
Because both sides of the equation are the same term the solution for
x is the set of of numbers.
A room is 15 feet long and 12 feet wide. What are the length and width of the room in yards?
Answers
Answer:
15ft = 5 yards
12ft = 4 yards
PLS HELPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
Between April and May
Step-by-step explanation:
April and May have a rate of change of 5 (79-74). February and March have a lesser rate of change.
Answer:
Option 2 :- February and March
Step-by-step explanation:
Rate of change between February and March is $ 5 i.e, ($79-$74)
Rate of change between April and May is $ 3 i.e, ($75-$72)
Thus, Rate of change is greater in February and March.
Hope this helps you.
PLEASE HELP!!!!! Find the magnitude and direction of the vector <2,7>. Round angles to the nearest degree and other values to the nearest tenth.
7.3; 73°
7.3; 74°
7.4; 73°
7.4; 74
Answers
Answer:
It's 7.3; 74!
Step-by-step explanation:
This was a lucky guess for me on my homework and it was correct sooooo.... I don't really have an explanation...
Definition: For vector [tex]v=<a,b>[/tex], the magnitude is defined as [tex]|v|=\sqrt{a^{2} +b^{2} }[/tex], and the direction of the vector is defined as [tex]tan^{-1}(\frac{b}{a} )[/tex].
Here, [tex]v=<2,7>[/tex].
Then, magnitude is:
[tex]|v|=\sqrt{2^{2}+7^{2} } \\|v|=\sqrt{4+49 } \\|v|=\sqrt{53} \\|v|=7.3[/tex]
The direction is:
[tex]tan^{-1}(\frac{7}{2} )=74^{o}[/tex].
So, the correct option is 7.3,74°.
For more information:
https://brainly.com/question/14942332
Jaxon was paid $62 for 8 hours of work. What was his hourly wage?
Answers
Answer:
He got paid $7.75 an hour
Step-by-step explanation:
62 dollars/8 hours = $7.75
help please:(.....................
Answers
area of triangle is (base X height)/2
so it would be (14 X 5)/2
which is 70/2
which is 35
Answer:780
Step-by-step explanation:
Base times height times width times 1/2 12x5x12 plus 5x2x6
PLEASE HELP, WILL REWARD BRAINIEST
Which one doesn't belong? Explain your reasoning
Answers
Answer:
A does not belong
Step-by-step explanation:
A does not belong because it is the only option with parallel lines. All other answer options have lines that intersect with eachother.
Answer:
The answer that they're looking for is A. The first set doesn't belong because it's the only one in which the lines are parallel.
However, one could argue that none of the others belong;
B is the only one with two lines instead of 3
C is the only one with three lines converging at the same point.
D is the only one with more than one point of intersection
But it is pretty clear that the answer sought is A. It's the only one with parallel lines.
How do you write 927,000 in scientific form
Answers
complet anology
2012:1992 ::1984__
Answers
Answer:
1964
Step-by-step explanation:
as 20 is decreased from 2012 to get 1992 . so 20 would be decreased from 1984 i.e 1964
Pls answer for me btw you are very smart
Answers
Answer:899,396
Step-by-step explanation:
Twelve people are
able to ride the Serpent of Fire roller
coaster at one time. Write a function
table that shows the total number of
people that have been on the roller
coaster after 1, 2, 3, and 4 rides.
Answers
2,24
3,36
4,48
Theses are the ordered pairs. To the answer of the question. In the table put (x,y) at the top and then in each x column put the first number then in the y column put the second number
Evaluate (2-3)^4
(4) - 9 = 3.
O -7
O-2
O 1
O 2
Answers
"Talk all day.........................................."
Answers
Answer:
What? Oh well free points tyy
Step-by-step explanation:
Kimmy bought a 5-kilogram can of peanuts for $4.59. What is the unit price? *
Answers
Answer:
9 cent
Step-by-step explanation:
4.59/5=$0.9
Answer:
Step-by-step: To solve this, we divide the price by the kilograms of peanuts. So therefore, our answer is that it costs $0.9 per can of peanuts.
Make p the formula: y=3p²-4
Answers
Answer:
p=[tex]\sqrt{y}[/tex]-1
Step-by-step explanation:
y=3p²-4
[tex]\sqrt{y}[/tex]=3p-4
-3p=[tex]\sqrt{y}[/tex]-4
p=[tex]\sqrt{y}[/tex]-4+3
p=[tex]\sqrt{y}[/tex]-1
The circle graph represents the number of teenagers at a high school who play video games. If 1,938 students go to the school, about how many students do not play video games?
101 students
544 students
803 students
1,394 students
Hope you have a great day!
Answers
Answer:
i bleave thet it is 803.
Step-by-step explanation:
Answer:
803
Step-by-step explanation:
believe me
a scale drawing on a lake has a scale is 1 cm to 80 m, if the actual width of the lake is 1,000m what is the width of the lake on the scale drawing
Answers
If you get this question right I will give you brainlist
Answers
Answer:
I think 99in
Step-by-step explanation:
3x13=39
5x12=60
39+60=99
PLEASE HELP ME ANYONE
Answers
Answer:
30+a
Step-by-step explanation:
hope it helps dont report if wrong
What is the equation of the line that passes through the point (4, 4) and has a slope
of 3?
Answers
Answer:
y = 3x - 8
Step-by-step explanation:
Let me know if I am wrong.
Answer:
y=3x-8
Step-by-step explanation:
What is the scale factor in the dilation?
1/6
1/3
3
6
Answers
Explanation:
The pre- image has a length of 3 and the image has a length of 9. 3 * 3 = 9
The pre-image has a height of around 2.66666 repeating and the image has a height of 8. 2.666 repeating * 3 ≈ 8
Answer: yes its 3! I took the test its 3
Step-by-step explanation:
Answers these two for 5 stars and brainlist and a thanks
Answers
a. Dilation of 2nd equation by a factor of 12
b. The systems have the same solution, as dilations do not affect overall coordinates, changing side lengths but not angles
PLLLLLEEEAAAAASSSSEEE ANSWER NEED HELP!!!!!!!!!!!!!!!!!!!!!! WILL MARK 5 STARS!!!!!!!!!!!!!!!!
Answers
Answer:
UT = 8
Step-by-step explanation:
From the picture, we can make the following equation...
5 + 2x - 6 = x + 6
By solving it we get
5 + 2x - 6 = x + 6
2x - 1 = x + 6
2x = x + 7
x = 7
Therefor if UT = 2x - 6, then UT is equal to...
2x - 6 = UT
2(7) - 6 = UT
14 - 6 = UT
8 = UT
-10<-2(2x-1) can anyone help?
Answers
Answer:
x < 3
Step-by-step explanation:
Any number less than 3 will make this true.
Answer:
-3<X or X>-3
Step-by-step explanation:
-10<-4x+2
-10-2<4x
-12<4x
-3<X or X>-3
25 points What is the equation for the line in slope-intercept form
Answers
Answer:
y=8x
Step-by-step explanation:
x=1 y= 8
x=2 y=16
8=m+b
16=2m+b
m=8
y=8x
The equation of a line is on the form y = mx + b where m is the slope and b is the y-intercept.
First let’s find the slope:
m = (y2-y1)/(x2-x1) = (16-0)/(2-0) = 16/2= 8
So we have y = 8x + b
We substitue one of the coordinates to find b. Let’s substitute (0,0)
We get 0 = 0 + b. So b = 0
The equation of the line is y = 8x
what is x⁶+a²x³y/x⁶-a⁴y²
Answers
Answer: x^3 / x^3 - a^2y
Step-by-step explanation: Simplify the expression.
I hope this helps you out!
