The particle has a frequency of 0.032 hertz.
The particle experiments a sinusoidal motion, whose mathematical model is described below:
[tex]x = x_{o} + A\cdot \cos (\omega\cdot t + \phi)[/tex] (1)
Where:
[tex]x[/tex] - Current position, in meters.[tex]x_{o}[/tex] - Initial position, in meters. [tex]\omega[/tex] - Angular frequency, in radians per second. [tex]t[/tex] - Time, in seconds.[tex]\phi[/tex] - Angle phase, in radians.The frequency ([tex]f[/tex]), in hertz is defined by this formula:
[tex]f = \frac{\omega}{2\pi}[/tex] (2)
By direct observation on the formula described in statement we find that [tex]\omega = 0.2\,\frac{rad}{s}[/tex], then we find the frequency of the particle by (2):
[tex]f \approx 0.032\,hz[/tex]
The particle has a frequency of 0.032 hertz.
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in spring 2017, data was collected from a random selection of sta 2023 students. one of the question how many concerts they had attended in the past six months. for the 39 randomly selected upperclassmen, the sample mean was 2.31 and sample standard deviation was 2.32. for the 35 randomly selected underclassmen, the sample mean was 2.29 and the sample standard deviation was 2.64. what is the point estimate of the difference in the population mean difference in number of concerts attended between underclassmen and upperclassmen?
Answer:
Step-by-step explanation:
5
According to the point estimate, the population mean difference in the number of concerts attended by freshmen vs seniors is 0.02.
What is the difference in population mean's point estimate?The difference in sample means is a point estimate for the difference in population means.
What's the best way to respond to this query?Data were collected from a random sample of STA 2023 students in the spring of 2017 in order to answer the question. One of the questions they were asked was how many concerts they had gone to in the previous six months. The sample mean was 2.31, with a sample standard deviation of 2.32 for the 39 upperclassmen who were chosen at random. The sample mean was 2.29, and the sample standard deviation was 2.64 for the 35 randomly selected underclassmen.
The point estimate of the population mean difference in the number of concerts attended by underclassmen versus upperclassmen has been requested.
The difference between the sample means is a point estimate for the difference between the two population means, as we already know.
Upperclassmen sample mean - underclassmen sample mean = point estimate,
Alternatively, 2.31 - 2.29 = 0.02 is a point estimate.
The population mean difference in the number of concerts attended by underclassmen against upperclassmen is 0.02 according to the point estimate.
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Let f(x)=cosx. Determine the x-value(s) where the function has a maximum or minimum value on [0,2π).
Answer:
can u say what subject is that
(0, 1) is a local maxima and (π, −1) is a local minima of the given function.
The given function is f(x)=cos(x).
What is a function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Graph the trigonometric function using the amplitude, period, phase shift, and vertical shift.
Amplitude: 1
Period: 2π
Phase Shift: None
Vertical Shift: None
The coordinates to plot the graph are (0, 1), (π/2, 0), (π, -1),....
To find the x-intercept, substitute in 0 for y and solve for x.
To find the y-intercept, substitute in 0 for x and solve for y.
x-intercept(s): (π/2 +πn,0), for any integer n
y-intercept(s): (0,1)
Use the derivative to find the maximum and minimum.
(0, 1) is a local maxima and (π, −1) is a local minima
Therefore, (0, 1) is a local maxima and (π, −1) is a local minima of the given function.
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A rectangle measures 2 2/5 inches by 4 1/8 inches. What is its area
Answer:
A = 9 9/10 sq inches
Step-by-step explanation:
A = lw
A = 12/5 x 33/8
A = 396/40
A = 9 9/10 sq inches
Eli is following this recipe to bake bread rolls.
He uses 500 g of flour.
How much of the other ingredients does he use?
Recipe: Makes 12 bread rolls
400 g flour
6 g salt
8 g yeast
40 mL oil
360 mL water
Answer:
7.5 g salt
10g yeast
50 ML oil
450 ML water
Step-by-step explanation:
You would do 1/4 of the amount of (insert ingredient amout) added to the total (insert ingredient amount)
Stella is ordering a taxi from an online taxi service. The taxi charges $3 just for the pickup and then an additional $1.75 per mile driven.
Answer:
and wht is the question?
What is the vertex of Y=x^2+5x-7
Answer:
the vertex of this parabola is at (5/2, 47/4)
Step-by-step explanation:
Y=x^2+5x-7 is written in 'standard form' for a quadratic. Comparing this to
y = ax^2 + 5x - 7, we see that a = 1 and b = 5.
-b
The formula for the x-coordinate of the vertex is x = --------
5 2a
which in this case has the value x = ------- = 5/2
2(1)
Now use the quadratic formula to find the y-value of the vertex:
y = (5/2)^2 + 5(5/2) - 7, or
y = 25/4 + 25/2 - 7, or
y = 11.75 or 11 3/4
Thus the vertex of this parabola is at (5/2, 47/4)
help asap help asap for a brainlist
Answer:
x=4
Step-by-step explanation:
Step 2 and 3 are incorrect,
4x+8 = 24
24-8 = 16
it should then be 4x=16
you then divide by 4 on each side
x=4
or
Find the slope of the line
y
=
9
5
x
−
9
5
.
Answer:
Step-by-step explanation: 56776
URGENT HELPP
I need to:
think the difference between what occurred and what you would expect by chance is statistically significant. Explain
Of the 40 students in your mathematics class 35 have the same last name.
Answer:sadddddddddddddddddddddddddddddddddddddddddddddddddddd
Step-by-step explanation:
ddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
Sean wants to spend (example) $100 on clothing and he wants to purchase 6 additional items for his wardrobe. Each pair of pants costs $20 and each shirt costs $15.
a. What is the system of equations that represents this situation?
b. Can he buy 2 pair of pants and 4 shirts?
c. Show the solution graphically.
Please answer quickly!
A: I do not understand.
B: Yes
C: 2 pair pants is $40. 4 pair shirts is $60. $60 + $40 = $100
The sum of two consecutive odd numbers is 52.Using an algebraic equation
find the two odd numbers.
Answer: 25, 27
Step-by-step explanation:
52=x+x+2=50=2x=x=25
Mike can type 1/2 page in 1/6 of an hour. What is Mike's rate per hour
Answer:
4/6
Step-by-step explanation:
change 1/2 to 3/6 because of the common denominator and add 1/6 + 3/6
Question 8
The original price of a snowblower is $950. A sign states that all snowblowers are 20% off the original price. Find the sale price of the
snowblower.
Answer:
$760
Step-by-step explanation:
950 x 0.8 = 760
Determine if this data is an example of a function
(3,-4);(3,-2);(3,0);(3,9)
Function or Relation
To be a function each x value creates a different y value.
The x value in the problem is the same for each set but the y values are all different so it is not a function.
Answer: relation
ayo help me please im dying of math
Find the 8th term of the geometric sequence whose common ratio is 3/2 and whose first term is 3
Step-by-step explanation:
relax ! don't panic. just breathe deeply and then focus again.
a geometric sequence means that every new term is created by multiplying the previous term by a constant factor.
this factor is given here as 3/2.
this is called common ratio, because of that building rule the ratio of 2 consecutive terms is
an/an-1 = factor = 3/2
the first term is 3.
so,
a1 = 3
a2 = a1×3/2 = 3×3/2 = 9/2
a3 = a2×3/2 = a1×3/2 × 3/2 = 3× 3/2 × 3/2 = 27/4
we see
an = an-1 × 3/2 = a1 × (3/2)^(n-1) = 3 × (3/2)^(n-1)
and therefore
a8 = 3 × (3/2)⁷ = 3× 2187/128 = 6561/128 = 51.2578125
What’s the algebraic expression for this
tn tv
1. 1
2. 3
3. 6
4. 10
5. 15
Someone plz help me
Answer:
1 3 6 10 15
Step-by-step explanation:
brainliest plz
The state fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 14 vans and 6 buses with 564 students. High School B rented and filled 4 vans and 6 buses with 414 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.
Answer:
No of student can be found using x+y=total
X+y=total
Concept
Step-by-step explanation:
Let vans be x
Let bas be y
14x+6y=564
4x+6y=414
With that you can get the answer am sorry I couldn't give the appropriate answer I only showed the way am in a trip that's why
Your Fourthknight team is holding a fundraiser. The list shows all expenses for the fundraiser.
- A tablet that costs $250
- Soccer tickets that cost $150
- Gift cards totaling $425
- The cost of catering is $875
The members of the team will sell tickets at the fundraiser. The ticket cost is set so that 68 tickets will pay for the cost of prizes and food.
How much does each ticket cost?
Model the profit for the fundraiser using an equation:
Answer:
25
Step-by-step explanation:
Because when you add all the cost and divide by the amount of tickets you get 25
Given f(x)=5x-3, find f(-3)
Answer:
[tex]f(-3)=-18[/tex]
Step-by-step explanation:
Since
[tex]f(x)=5x-3[/tex], we can plug in our values
[tex]f(-3)=-15-3[/tex]
Combine like terms
[tex]f(-3)=-18[/tex]
find the value of x and y
Answer:
x = 60
y = 30
Step-by-step explanation:
We know that all triangles' interior angles combined must have a sum of 180.
Since the triangle on the left is a equilateral triangle, we know that each angle is equal to 60.
Since we already know that the sum of the two angles in the top right is 90 (shown by the right angle symbol) and we know that the angle that isn't y is equal to 60, we must do the following step:
90 - 60 = y
90 - 60 = 30
y = 30
Now that we know the value of y, it's time to find the value of x.
We know that y = 30 and that the angle in the bottom right is equal to 90 (shown by right angle symbol).
Since all triangles' interior angles combined must have a sum of 180 and we already know that one angle is equal to 30 and the other is equal to 90, we must do the following:
180 - (90 + y) = x
180 - (90 + 30) = x
180 - 120 = x
180 - 120 = 60
x = 60
This gives us the answers y = 30 and x = 60
what’s the gcf of 56 and 90
Answer:
2
Step-by-step explanation:
Answer:
2[tex] \: \: \: \: \: \: \: [/tex]
What is the slope of the line passing through the points (-3, 4) and (2, - 1)?
A -5/3
B 3/5
C -1
D 1
Answer:
-1
Step-by-step explanation:
A floor is covered by 800 tiles measuring 10cm^2. How many square tiles of side 8cm would be needed to cover the same floor
Answer:
125 square tiles
Step-by-step explanation:
(800*10)/8^2=8000/64=125
How many times is it necessary to fold repeatedly in half one sheet of paper of thickness
0.1 mm to reach the thickness of the layer at least 1 m?
1) 60
2) 140
3) 16
(4) 14
5) 10000
What's ( Round to the indicated place value
1. 6085 to the nearest hundred
2. 51,672 to the nearest ten thousand
3. 321.6396 to the nearest thousand)
Answer:
I'm not going to give the answer yet to see if you can figure it out.
Step-by-step explanation:
1. Find the place that your are rounding to. Ex: 6085
2. Then, look "nextdoor"; the number to the right of the number underlined. Ex: 6085
3. If this number is 1-4, then keep it the same. If it is 5-9, then add one to the digit to the left. Ex: 6085 becomes 6185
4. All of the digits to the right stay the same. Ones to the left become zero. Ex: 6185 becomes 6100.
I hope this helps!
Tom buys 120 eggs. (s. 25% of them are cracked how may cogs are craket many eggs
Answer:
30 eggs.
Step-by-step explanation:
Cracked eggs: 120 x 25/100
=> 120 x 1/4
=> 30 eggs.
Therefore, 30 eggs are cracked.
Hoped this helped.
what is trigonometric functions
Answer:
a function of an angle, or of an abstract quantity, used in trigonometry, including the sine, cosine, tangent, cotangent, secant, and cosecant, and their hyperbolic counterparts.
Step-by-step explanation:
hope this helps
I NEED HELPP!!!
Penny attended a four year state college. She took out a student loan to pay for her tuition and room & board for the four years she was attending the college. Her tuition fees were $6,970 per year, and the cost of her room and board was $11,320 per year. Now that she has graduated, she will have to start paying back her loan. Fortunately, Penny has a grace period of one year before she has to start paying back the loan. Her loan details are as follows: there is a fixed-rate interest of 4.5% and the interest compounds each month. During her one year grace period, interest will accrue on the loan, so that when she has to start paying the loan back she will owe more than what she owes now. Her goal is to be able to payoff the loan in 10 years.
_______________________________________________
Given all of this information, answer the following questions:
1. What is the original loan amount, i.e. how much were the total costs for tuition plus room & board for the four years that Penny attended the college?
2. What is the new loan amount after the one-year grace period (remember that interest will accrue on the loan during this initial 12-month period that she is not paying anything back on the loan)? This is the amount that she will be responsible for paying back. (Round your answer to the nearest whole dollar)
3. Given that she can pay back the loan in full after 10 years of payments, what is the total amount she will end up paying back (both principal and interest that has accrued over the 10 years)? And how much will her monthly payments on the loan be for those 10 years? (Round your answers to the nearest whole dollar)
I will mark most brainlest whoever gets it right for me :)))
Sorry I can't help you :(
9 is what percent of 45?
Answer:
20%
Step-by-step explanation:
9/45 = 0.2
0.2*100 = 20
Find and intercept the slope of this line.
Answer:
The slope is -4. The amount of money left goes down by 4 with each comic book.
Step-by-step explanation:
The answer is D
