A ride in an amusement park features a swinging ship suspended from a height of 50 feet. The motion of the ship can be modeled by the graph below, where x represents the time, in seconds, since the start of the ride, and f(x) represents the angle, in radians, that the center of the ship makes with respect to the equilibrium position.
Select all the correct answers.
Answers
Answer: The first and last options are correct.
f(x) = pi/4 cos (pix/5 - pi/2)
f(x) = pi/4 sin (pix/5)
Step-by-step explanation
The graph shows that A = pi/4.
B = 10, so the period = 2pi/10 = pi/5.
sin and cos are cofunctions, so a phase shift of -pi/2 makes the two functions equal to each other.
Hope this helps :)
The correct answer is f(x) = π/4 cos (πx/5 - π/2) and f(x) = π/4 sin (πx/5).
option (A) and (D) are correct.
It is given that height of 50 feet and graph is given.
It is to find f(x).
What is graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The graph shows that A = π/4.
B = 10, so the period = 2π/10 = π/5.
sin and cos are co-functions, so a phase shift of -π/2 makes the two functions equal to each other.
So, the option are (A) and (D).
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Related Questions
Select the correct comparison.
Set A
Set B
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Help I will give you 10 points please help
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Answer:
Look Below
Step-by-step explanation:
1. A person would have to work 9 Hours to get 63$ for 7$ per hour.
2. Reese is 16 years old because if you do 34 - 18 = 16. Or you could do 16 + 18 = 34 to confirm it.
3. 10 - 4 = 6 Sean is 6 feet tall total because if you do a subtraction problem with the two variables you get 6.
4. I am not able to see the numbers on the right unfortunately so all you have to do for this one is to minus how much her brother has by 8 to get her amount.
Hope This Helps! Have A Good Day! Good Luck With Your Work!
Find mZECD
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D
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31°
A
B
PLEASE HELP I WILL GIVE BRAINLIEST
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x^2-6=2-18x solve by completing the square
Answers
A single line of four cats one behind the other walks towards and head-on into a single line of five cats walking in the opposite direction. When two of the nine cats meet, they both switch directions and then continue walking. How many meetings take place?
Answers
Answer:LLLLLLLLLLLLLL
Step-by-step explanation:
LLLLLLLLLl
Answer:
4
Step-by-step explanation:
There are just 4
Three hundred yards of fencing is being used to fence in a rectangular garden. The area of the garden is modeled by a quadratic function of the rectangle’s width, A(w). What does the second coordinate of the vertex of the quadratic function. A(w), represent?
the minimum width that can be used for the fencing
the maximum area that can be enclosed by the fencing
the width that gives the maximum area
the length that gives the maximum area
Answers
9514 1404 393
Answer:
the maximum area that can be enclosed by the fencing
Step-by-step explanation:
If the width of the garden is w (in yards), then the length of the garden is (150-w) and the area is ...
A(w) = w(150 -w) = -(w² -150w)
A(w) = -(w² -150w +75²) +75²
A(w) = -(w -75)² +5625
In this vertex form, the vertex is (75, 5625).
The graph of area versus width is a parabola that opens downward, so the vertex second coordinate is the maximum area that can be enclosed.
Which function has the largest maximum? (1 point)
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Answer:
(4, -7) thats the largest maximum
45,000 mL=
I really need this answer just one more Time lol
Answers
Answer:
45,000 mL (Milliliters) = 45 L (Liters)
Explanation:
The word milliliters is made up of two words, "milli" and "liter"
"Milli" means a thousand, chiefly denoting a factor of one thousandth.
That means one milliliter is one thousandth of a liter
The LCM of 5 and 6 is ______. Numerical Answers Expected!
Answers
Answer:
30
Step-by-step explanation:
Answer:
30.
Step-by-step explanation:
2 x 3 x 5 = 30
Find the area of the following figure: 12yd 8yd 4yd
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12 * 4 + (22/7 * 4^2)/2
48 + 25.14
73.14 yard square
Area
Please help solve the two questions
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Answer:
1. Height=6 Base=7 Area=422. i realy cant see the hieght but i think its 7 and the base is 3 so it might be 21Step-by-step explanation:)6. The base of a pyramid is a triangle whose base is 11 yards and height is 19
yards. Determine the volume of the pyramid, if its height is 7 yards. Round
your answer to two decimal places.
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Because volume= lwh/3
help me with this please and if you can do a step by step it would help
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Answer:
Angle 6x and Angle 5x + 10 are corresponding angle pair,
they are equal
6x = 5x + 106x - 5x = 10x = 10so each angle = 6 × 10 = 60°
The sum of two numbers is 41. The smaller number is 9less than the larger number. What are the numbers?
Answers
Answer:
Smaller number is 16 and larger number is 25
Step-by-step explanation:
[tex]x+y=41\\x=y-9\\\\(y-9)+y=41\\2y-9=41\\2y=50\\y=25\\\\x=25-9=16[/tex]
The smaller number is 16 and the larger number is 25
Mason says that a point with the coordinates (4, 4) lies on a circle centered at the origin with a radius of 4 units. Is Mason correct? Explain why or why not.
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yes, he is right all distance is the same from the origin point to any side of the circle same as radius which is half a line starts at any side of the circle and ends at the origin point.
Mason is correct.
The point with the coordinates (4, 4) lies on the circle centered at the origin with a radius of 4 units.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2pir.
The area of a circle is πr².
We have,
A circle centered at the origin with a radius of 4 units can be represented by the equation:
x² + y² = r²
Substituting the coordinates of the point (4, 4), we have:
4² + 4² = r²
16 + 16 = r²
32 = r²
Taking the square root of both sides, we get:
r = 4√2
Therefore,
The circle centered at the origin with a radius of 4 units has an equation of x^2 + y^2 = 32.
Point (4, 4) satisfies this equation since:
4² + 4² = 32
16 + 16 = 32
32 = 32
Thus,
The point with the coordinates (4, 4) lies on the circle centered at the origin with a radius of 4 units.
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-3/8*2/5 + 2/5 * 5/8
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Answer:
.1
Step-by-step explanation:
Answer:
0.1
Step-by-step explanation
Im kinda stuck on this can i get help
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Answer:
6+4=10
7-6=1
6*6=36
1/3*6=2
Step-by-step explanation:
Plug in 6 for x and solve it.
Can someone help me
Answers
Answer:
x is 10
Step-by-step explanation:
draw a line AD to make triangle ABD (which will be a right triangle)
use Pythagorean theorem to find the length of AD
[tex]a^{2} +b^{2} =c^{2} \\6^{2} +8^{2} =c^{2} \\36+64=c^{2} \\100=c^{2} \\10=c[/tex]
Side AD is a radius of the circle, x is also a radius, so they are equal so x is 10
a reflection across y=2
HELP DUE VERY SOON
Answers
Answer:
n' = (-5,2) k' = (-1,1) t' = (-5,0)
Step-by-step explanation:
Does (2, 3) make the inequality 2x + 5y < 20 true?
yes
no
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Answer:
Yes
Step-by-step explanation:
The left side 19 is less than the right side 20 , which means that the given statement is always true.
How many roots does the graphed polynomial function have?
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Answer:
3 roots
The graph crosses the x axis 3 times so there are 3 roots.
Step-by-step explanation:
Hii! I really need help on this with the spree that answers! For 30 points. I don’t wanna waste my points so make sure your answer is right.
Answers
Step-by-step explanation:
1. K = 13 (13+5=18)
2. X= 36 (36-12=24)
3. Y = 14 (17=3+14)
4. Z= 24(22=24-2)
5. A=7 (divide both sides by 4)
6. H=12 (12/6=2)
7. B= 10 (100=10*10)
8. Y=42 (6=42/7)
I'm pretty sure that this is correct.
-5 = -5
k=13
2. x-12=24
+12 = +12
x=36
3.17=3+y
-3 = -3
y=14
4.22=z-2
+2 = +2
z=24
5.4a=28
÷4 = ÷4
a=7
6.h/6=2
×6 = ×6
h=12
7.100=10b
÷10 = ÷10
b=10
8.6=y/7
×7 = ×7
y=42
I can't figure this problem out Please, I need some help.
Answers
Answer:
66
Step-by-step explanation:
find the least common multiple of 16,30,36 no links or file
Answers
9514 1404 393
Answer:
720
Step-by-step explanation:
The LCM of these numbers will have every factor that is part of these numbers.
16 = 2^4
30 = 2 × 3 × 5
36 = 2^2 × 3^2
So, the LCM will have factors of 2^4, 3^2, and 5:
LCM(16, 30, 36) = 2^4 × 3^2 × 5 = 720
720 = 16×45 = 30×24 = 36×20
The least common multiple is 720.
A company produces and sells solar panels for $520. The company's daily profit, P(x), can be modeled by the function P(x) = −6x2 + 156x + 1,000, where x is the number of $5 price increases for each solar panel. Use the graph to answer the questions.
Graph of function p of x equals negative 6 x squared plus 156 x plus 1,000. The graph has the x-axis labeled as the number of price increases, and the y-axis labeled as profit. The curve begins at (0, 1000), increases to the vertex at about (13, 2014), and decreases through about (31, 0).
Part A: Identify the approximate value of the y-intercept. Explain what the y-intercept means in terms of the problem scenario. (3 points)
Part B: Identify the approximate value of the x-intercept. Explain what the x-intercept means in terms of the problem scenario. (3 points)
Part C: Identify the approximate value of the maximum of the function. Explain what the maximum of the function means in terms of the problem scenario. (4 points)
Will give who ever answers the fast the brainliest and max points
Answers
This occurs when the number of $5 price increases is approximately 10.82 or 15.32.
The function given is P(x) = −6x2 + 156x + 1,000, where x is the number of $5 price increases for each solar panel. We are to identify the approximate value of the x-intercept and explain what the x-intercept means in terms of the problem scenario.
The x-intercept is a point where the graph of the function crosses the x-axis. At this point, the value of the function is zero.
We can find the x-intercept by setting P(x) = 0 and solving for x.0 = −6x2 + 156x + 1,0006x2 - 156x - 1000 = 0Dividing by 6, we get:x2 - 26x - 166.67 = 0Solving using the quadratic formula,
we get:x ≈ 10.82 or x ≈ 15.32So, the x-intercepts are approximately 10.82 and 15.32. In terms of the problem scenario, the x-intercept represents the point at which the company breaks even, i.e., the point at which the daily profit is zero.
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Mona solved an equation incorrectly, as shown below:
Step 1: 5x = 30
Step 2: x = 30 − 5
Step 3: x = 25
Which statement best explains why Step 2 is incorrect in Mona's solution?
She did not add 5 to 30.
She did not divide 30 by 5.
She did not multiply 30 by 5.
She did not multiply 30 five times.
Answers
Answer:
She did not add 5 to 30. ... Mona subtracted 5 where she should have divided 5.
Step-by-step explanation:
Answer:
B. She did not divide 30 by 5
Step-by-step explanation:
This is the only way to cancel out the 5 and get the variable alone
Triangle BCD has vertices B(-8, 3), C(-4, 6), and D(2,0). If the triangle is reflected across the x-axis and dilated by a scale factor of 0.5 with respect to
the origin, what are the coordinates of the vertices of triangle B'C'D'?
A. B'(-4, 1.5), C'(-2,-3), D'(1, 0)
B. B'(-8, 3), C (-4,-6), D (2,0)
C. B*(-4,2), C (-2,-3), D'(1, 0)
D. B(-16, 6), C'(-8, -12), D'(4,0)
Answers
Answer: B'(-4, 1.5), C'(-2,-3), D'(1, 0)
Step-by-step explanation:
The coordinates of the vertices of triangle B'C'D' is B'(-4, 1.5), C(-2, 3) and D(1, 0)
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Dilation is the increase or decrease in size of a figure. If a point A(x, y) is dilated by a factor k, the new point is at A'(kx, ky).
Given that Triangle BCD has vertices B(-8, 3), C(-4, 6), and D(2,0). If it is dilated by a factor of 0.5, the new point is at:
B'(-4, 1.5), C(-2, 3) and D(1, 0)
The coordinates of the vertices of triangle B'C'D' is B'(-4, 1.5), C(-2, 3) and D(1, 0)
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determine whether you can construct many one or no triangles with the given measures
Answers
Answer:
u cant create any triangles because you have said that there are three 45° angles
which is 45°, 45°, 45°
⇒ 135°
135≠180
every triangle is 180°
therefore no triangle
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HELP FAST PLZ
The same house costing $500,000 with the 15-year mortgage and the APR of
4.5% would have what amount for its first month's principal payment?
Answers
Answer:
Step-by-step explanation:
How much would the mortgage payment be on a $500K house? Assuming you have a 20% down payment ($100,000), your total mortgage on a $500,000 home would be $400,000. For a 30-year fixed mortgage with a 3.5% interest rate, you would be looking at a $1,796 monthly payment.
What is the height of the ball after 5 seconds in feet?
Answers
Answer:32
Step-by-step explanation:
i think the answer will be 32 feet