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
4
Brad goes to bed at 21 25.
He is in bed until 0708 the next day.
Work out the length of time that Brad is in bed.
Answers
Answer:
Step-by-step explanation:
Marcus is painting the outside of a shoe box for an art project. The box is 9 cm x 10 cm x 3 cm. How much paint does Marcus need?
Answers
Answer:
294 cm^2
Step-by-step explanation:
This question is asking for the surface area of all 6 sides of the Shoe box. Hence we will have to multiply all the dimensions with each other twice to get the surface area of all the sides.
9x10x2=180
9x3x2=54
10x3x2=60
Adding them together we get 294 cm^2.
PLEASE ANSWER ASAP! NO SCAM LINKS OR REPORTED.
Answers
Answer:
Its A
Step-by-step explanation:
Standard equation: y=mx+b
x+y=0
-x -x
y=-x+0
Can someone help me with this?
Answers
9514 1404 393
Answer:
π/4, 7π/4
Step-by-step explanation:
Adding √2 and dividing by 2 makes the equation ...
cos(θ) = (√2)/2
The first-quadrant solution is ...
θ = arccos((√2)/2) = π/4
The angle in the 4th quadrant with the same reference angle will have the same cosine value.
θ = 2π -π/4 = 7π/4
The two solutions are θ = π/4, 7π/4.
ZABC and ZQRS are supplementary angles.
If the measure of ZABC = 140°, what is the
measure of ZQRS?
O
mZQRS = [?]
Enter
Answers
40° is your answer
Answer:
:
< ABC+<QRS=180
m<QRS=180-140=40°
Solve for the value of x.
Answers
Answer:
x = 15
Step-by-step explanation:
Similar triangles and proportional side lengths.
10/4 = x/6
5/2 = x/6
2x = 5 * 6
2x = 30
x = 15
4. Celina babysat for 5 hours and earned $27. what's her pay per hour?
Answers
Which statement is true?
4
O A. As the value of a positive number
increases, the absolute value of
the number decreases.
O B. As the value of a positive number
decreases, the absolute value of
the number increases.
O C. As the value of a negative number
increases, the absolute value of
the number decreases.
5
O D. As the value of a negative number
decreases, the absolute value of
the number decreases.
Answers
option D is true statement. that is the absolute value of the negative number will decreases with decreases in negative number.
What is Absolute value of a number?
Absolute value describes the distance from zero that a number is on the number line, without considering its direction that is the absolute value of a number is never negative.
In other words Absolute value is the modulus of any number.
A ) False : the absolute value of the positive number will increase with increase in positive number.
B ) False : the absolute value of the positive number will decreases with decreases in positive number.
C) False : the absolute value of the negative number will increase with increase in negative number.
D) TRUE: the absolute value of the negative number will decreases with decreases in negative number.
Therefore, option D is true.
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what is the poem Caged Bird about?
Answers
Help pls this is my first question on here and I need help with this pls. I will give you the brainliest and a thanks!! :)) Can you do 1 and 4 thanks!! :)))
Answers
Answer:
1. 18.85in
4. 25.13m
Step-by-step explanation:
I got you
So to find the circumference of any circle we use the equation 2pi(r)
2(3.1415)(3)= 18.85in for the first one because radius is half of the diameter which is 6 so half of 6 is 3
For 4. 4m is actually the radius so just plug that into the equation 2pi(4)=25.13m
Help!!! please please
Answers
Areas for square: A=l•h
A=8•9=72m
Now that you figured out the area for the square you find the area of the triangle
Area of triangle: A=1/2•b•h
To find the height you would subtract 12-8=4
A=1/2•9•4
A=18m
Now you add the two areas in order to figure out the whole space which is 18m+72m
So the area would be 90m
Hope this helped!
A pelican has a wingspan of 8 wholes 1/5 feet.
An eagle has a wingspan of 6 wholes 2/3 feet.
How much longer is the wingspan
of a pelican?
Answers
Answer:
The wingspan of a pelican is 1 8/15 feet longer than the wingspan of an eagle.
(1 whole 8/15 feet)
Step-by-step explanation:
We'll need to find a common denominator for the fractions. 15 is the lowest number divisible by both 5 and 3, so we'll use 15. For this problem, it's also easier to convert to improper fractions, in my opinion.
Pelican:
8 1/5 = 41/5
41/5 x 3/3 = 123/15
Eagle:
6 2/3 = 20/3
(20/3) x (5/5) = 100/15
Find the difference:
123/15 - 100/15 = 23/15 = 1 8/15
Please let me know if you have questions.
Can someone watch number 10 ?
Answers
Answer:
-9
Step-by-step explanation:
Hello! So, we need to find log_6 1/6. The definition of log is the power that you need to multiply that number by to get the next number. 1/6=6^-1, so our equation would be:
-1=x/9, so x is clearly -9.
Have a nice day.
~cloud
Answer:
You are correct
Step-by-step explanation:
[tex]log_{6} \frac{1}{6} =\frac{x}{9}[/tex]
[tex]log_{6} 6^{-1} =\frac{x}{9}[/tex]
[tex](-1)log_{6}6=\frac{x}{9}[/tex]
[tex]-1=x/9[/tex]
[tex]-9=x[/tex]
Hope that helps :)
someone help i cannot open files please type
Answers
Answer:
175..................................
What is the value of 3x + 5y, when x = 12 and y = 4? 24 А B В 48 C 56 D 72
Answers
Answer:
C is the answer
Step-by-step explanation:
All you have to do is plug 12 in for x and 4 in for y
3(12) + 5(4) = solve
36 + 20 = 56
Hope that helps
Una caja contiene cinco bolas blancas, tres bolas negras y dos rojas.
¿Cuál es el minimo de bolas rojas que tendrías que añadir para que la probabilidad de
escoger una bola roja sea?
b. ¿Cuál es el mínimo de bolas negras que tendrías que añadir para que la probabilidad de
escoger una bola negra sea ?
Answers
Answer:
la primera es 10 la segunsa es 8000000000000
Classify the triangle as acute, obtuse, or right based on the given side
lengths. *
8, 17, 19
Acute
Obtuse
Right
Answers
Answer:
Obtuse
Step-by-step explanation:
Pythagorean thm:
a² + b² = c²
8² + 17² = 19²
64 + 289 = 361
353 = 361
Since c (the hypotenuse) is bigger than the legs combined, the triangle is obtuse.
Help me please, please
Answers
Answer:
When used as a diacritic mark, the term dot is usually reserved for the interpunct, or to the glyphs 'combining dot above' and 'combining dot below' which may be combined with some letters of the extended Latin alphabets in use in Central European languages and Vietnamese.
Step-by-step explanation:
Use the distributive property to simplify 3 + 5c(2 + 6c) completely.
Answers
Answer:
Distributive property says that:
(A + B)*C = A*C + B*C
Now let's try to use it in our expression:
3 + 5*c*(2 + 6*c)
Here we can take the two terms inside the parentheses as A and B, and the term that multiplies them as C, then distributing we get:
3 + (5*c)*2 + (5*c)*(6*c)
Now remember that the multiplications are associative and commutative, then we can write this as:
3 + (2*5)*c + (5*6)*(c*c)
3 + 10*c + 30*c^2
And we can't simplify it anymore.
Select the correct answer from each drop-down menu.
Carla wants to buy a new bike before summer starts in one week. She saves $1 on the first day of the week, $2 on the second day, $4 on the
third day, $8 on the fourth day, and continues this pattern the rest of the week.
If the bike costs $150, Carla will (have or not have)
enough money to buy the bike before the start of summer.
Carla will have ($15, $25 $23,$27,$5,$0)
Answers
Answer:
she will not have enough money
she will have 23 more to save
Step-by-step explanation:
got it right on plato
Answer:
If the bike costs $150, Carla will
not have
enough money to buy the bike before the start of summer.
Carla will have
$23
more to save
.
Step-by-step explanation:
One angle of a right triangle measures 75º. What is the measure of the other acute angle?
Answers
All triangles have 180 degrees. A right angle has 90 degrees. 90+75=165 180-165=15
1) Determine if the side lengths given form a triangle
Answers
Using the triangle inequality theorem, we can figure this out.
2- Yes
3- No
4- No
5- Yes
6- Yes
The difference between the squares of two numbers is 35. Twice the square of
the first number increased by the square of the second number is 73. Find the
numbers.
Answers
Answer:
Los números son
7 y 8
Explicación paso a paso:
Si el número menor es "x" , el mayor es "x + 1"
entonces
( x + 1 )² - x² = 15
x² + 2x + 1 -x² = 15
2x + 1 = 15
2x = 15 - 1
2x = 14
x = 14/2
x = 7 ( número menor )
x + 1 = 7 + 1
x + 1 = 8 ( número mayor )
guys thank you for everyone who has helped me im almost done
Answers
Answer:
y = 4
y = 7
x = 6
Hope that helps! :)
Step-by-step explanation:
How many integers between 0 and 500:
1. Have distinct digits?
2. Are divisible by 3?
3. Are divisible by 3 or 5?
4. Are divisible by either 3 or 5, but not both?
5. Are divisible by 3, but not 5?
Pls help asap!!
Answers
Answer:
4
Step-by-step explanation:
they are divisible by either 3 or 5 but not both of these numbers
Answer:
378
Step-by-step explanation:
1 digit numbers - 9
2 digit numbers - 90
Now, subtract the repeating numbers 90-9 = 81
3 digit numbers = 4*9*8 = 288
Distinct numbers = 9+81+288 = 378 numbers
Use the spinner to find the theoretical probability of the event. Write your answer as a fraction or a percent rounded to the nearest tenth.
The theoretical probability of spinning a 1 is
PLEASE HELP ME!!!
Answers
Help please is for now
Answers
Answer:
In linear functions, rate of change is constant: as x goes up, y will go up a consistent amount. In exponential functions, the rate of change increases by a consistent multiplier
Step-by-step explanation:
Answer:
Linear functions change at a constant rate per unit interval. An exponential function changes by a common ratio over equal intervals.Step-by-step explanation:
Which of the expressions are equivalent to the one below? Check all that
apply.
10x(3+4)
A. (3+4)x10
O B. (10x3) + 4
C. 10.3 + 10 - 4
D. 10. (4+3)
SUBMIT
Answers
So, A is correct because it is the same equation just (3+4) is in the front. D is also correct because it is the same question because when a number is for example like 10(3+4) it mean multiplication and in this case you are multiplying. B and C are incorrect because they do not have a total of 70. The original equation, 10x(3+4) = 10x7 = 70.
Correct answers:
A. (3+4)x10
D. 10(4+3)
Number of spots
32
30
28
26
24
22
20
18
16
14
12
10
...
.
2 3 4 5 6 7 8 9 10 11 12 13
Weight (g)
A. negative
Ο Ο Ο
B. parabolic
C. strong
Answers
Answer:32 30 28 16
Step-by-step explanation:
Please help ASAP ........ Find the area of the region bounded by the curves
x² + y² = 4, y = √3x , and 1st quadrant..
Answers
Answer:
(x₁ , y₁) = (0,0)
(x₂ , y₂) = [tex]\frac{\sqrt[16]{3} }{19}[/tex] , [tex]\frac{12}{19}[/tex]