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.
We kindly invite to check this question on simple harmonic motion: https://brainly.com/question/17315536
3: A farmer keeps cows and pigs on his farm. The ratio of cows to pigs on the farm is 2:3 (a) What percentage of the animals on the farm are cows? (b) What percentage of the animals on the farm are pigs?
Answer:
(a) 40% of the animals are cows.
(b) 60% of the animals are pigs.
Step-by-step explanation:
(a) You have to find the percent of the cows. 2:3 can be written as 2/5 for the cows and you have to figure out x/100.
2/5 = x/100
5*20 = 100
2*20 = x
40 = x
(b) The rest of the animals on the farm are pigs so you have to subtract 40 from 100 for the answer.
100-40 = y
60 = y
What are the types of polygons?
Answer:
Triangle Quadrilateral Pentagon Hexagon Heptagon Octagon Nonagon and Decagon
Answer:
1.Regular Polygons.
2.Irregular Polygons.
3.Concave Polygons.
4.Convex Polygons.
5.Trigons.
6.Quadrilateral Polygons.
7.Pentagon Polygons.
8.Hexagon Polygons.
Step-by-step explanation:
It takes 39 pounds of seed to completely plant a 4-acre field.
How many acres can be planted per pound of seed?
Answer:
0.1
Step-by-step explanation:
it takes clay 1/2 hour to mow his lawn how much of the yard will be mowed after 1/3 hour
Answer:
Step-by-step explanation:
Clays rate is 1/2 hour per lawn. We can write this as Rate = 3/2 hr/lawn.
If Clay mows for 1/3 hour, we can determine the amount of lawn mowed by dividing the 1/3 hour by the rate:
(1/3 hr)/(3/2 hr/lawn) = (1/3)*(2/3) = 2/9 of a lawn.
It took Jada's aunt 3/4 hour to put a puzzle together. It took Jada 2 1/3 times as long as her aunt to put the puzzle together.
How long did it take Jada to put the puzzle together?
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answer:
1 3/4 brainliest please
Step-by-step explanation:
Answer:It took Jada 1 3/4 hours to put the puzzle together.
Step-by-step explanation: Multiply 3/4 by 2 1/3 and you get the answer.
A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains 95% pure antifreeze. The company wants to obtain 285 gallons of a mixture that contains 55% pure antifreeze. How many gallons of water and how many gallons of the premium antifreeze solution must be mixed?
Answer:
premium: 165 gallonswater: 120 gallonsStep-by-step explanation:
Let 'a' represent the amount of 95% antifreeze in the mix. Then the amount of water is (285 -a). The mix has this amount of antifreeze in it:
0.95a +0(285 -a) = 0.55(285)
a = 0.55/0.95(285) = 165 . . . gallons of 95%
285 -a = 285 -165 = 120 . . . . gallons of water
There are 120 gallons of water and 165 gallons of premium antifreeze in the mixture.
Judy is trying to stack books on a shelf that is 20 inches tall. If each book is 4/5 inches thick, how many
books can she stack on the shelf?
8x - 2y = 4 and x + 4y = -12
x = -12 - 4y
y = -3 - (x/4)
There you go! :D
Find the gradient of the line passing through (0,2) and (3,5)
pls i need for hwk
Answer:
The gradient is 1
Step-by-step explanation:
m, gradient= (y2-y1) ÷ (x2-x1)
Write an equation of the parabola that passes through the point (62,-490) and has x-intercepts -8 and 72
Step-by-step explanation:
as x intercepts are -8 and 72 we realize that f(x)=a(x+8)(x-72)
we know that f(62)=-490 so a= -0.7
so f(x)= -0.7(x+8)(x-72)
HELP * PICTURE INSERTED*
Answer:
9m^2
Step-by-step explanation:
Area of triangle = 1/2 ×base×height
=1/2(2/3m ×27m)
Area of triangle =9m^2
Create a probability model for the outcome of performing 2 spins. What is the probability of NOT landing on yellow or red at all?
Using the concept of probability, the probability of not landing on yellow or red at all is 1/4.
Creating a square model of the two spins :
Red(R) ; Blue(B) ; Green(G) ; Yellow(Y)___ R ___ B ___ G ___ Y
R_ RR __ RB __ RG __ RY
B_ BR __ BB __ BG __ BY
G_ GR __GB __ GG __GY
Y_ YR __ YB __ YG __ YY
Sample space = 4² = 16Combinations without red and yellow :
{BB, BG, GB, GG} Number of selections without red or yellow = 4Recall :
Probability = required outcome / Total possible outcomesP(without Red or Yellow) = 4/16 = 1/4
Hence, the probability of not landing on yellow or red at all is 1/4.
Learn more : https://brainly.com/question/14605518
What is the slope intercept equation from the graph?
Please help thank u
Answer:
the desired equation is y = (-3/2)x + 3
Step-by-step explanation:
Two points through which the graph passes are (0, 3) and (2, 0). (0, 3) is the y-intercept. Thus, the slope-intercept equation y = mx + b becomes
y=mx + 3. Borrowing the coordinates of (2, 0) and substituting them into this last result, we get
0 = m(2) + 3,
which, after having been solved for m, gives us m = -3/2
and so the desired equation is y = (-3/2)x + 3.
3(x-4)=2(-2x+1) please help
Answer:
[tex]\boxed{\boxed{\sf x=2}}[/tex]
Step-by-step explanation:
[tex]\sf 3\left(x-4\right)=2\left(-2x+1\right)[/tex]
Expand, Apply Distributive property:
→ [tex]\sf 3x-12=-4x+2[/tex]
Add 12 from both sides:
→ [tex]\sf 3x-12+12=-4x+2+12[/tex]
→ [tex]\sf 3x=-4x+14[/tex]
Add 4x from both sides:
→ [tex]\sf 3x+4x=-4x+14+4x[/tex]
→ [tex]\sf 7x=14[/tex]
Divide both sides by 7:
→ [tex]\sf \cfrac{7x}{7}=\cfrac{14}{7}[/tex]
→ [tex]\sf x=2[/tex]
______________________________________
Help please this is for a exam i give brainliest to!
Which expression results in a sum or difference of 4 9/36?
A: 8 2/3 - 4 5/12
B: 2 3/12 + 2 1/3
C: 6 5/9 - 2 1/4
D: 3 1/4 + 1 4/9
NO LINKS!!!
Answer:
The Answer is A. :)
Step-by-step explanation:
What is 216/162 written as an improper fraction in simplest form?
A.6/4
B.4/3
C.3/2
Answer:
4/3
Step-by-step explanation:
216 / 162
= 108 / 81
= 12 / 9
= 4 / 3
Answer:
The improper fraction is 4/3 because when you read the sentence and listen to the teacher it will tell you the answer because of your teacher giving you the answers you will get 100% on your assignment or Quiz.
Step-by-step explanation:
Brainliest Plz
The cost of renting a video game is $4 per a day, plus a $3 rental fee. If jonathan has $12 to spend, what is the maximum number of days he can rent the video game?.
Answer:
2 days
Step-by-step explanation:
12 - 4 = 8
8/3 = 2.7
which of these tables represents a function? HELP ASAP
Each container on a cargo ship holds 60 boxes of furniture.
Which table shows the values for 60c, the number of boxes
in c containers?
4
5
6
Number of Containers, C
Number of Boxes, 60c
240 300 360
4
5
6
Number of Containers, C
Number of Boxes, 60c
240 280 320
B.
4
5
6
Number of Containers, C
Number of Boxes, 60C
240 350 460
C
Answer:
imagine cheating on your star assessment but same tho the answer is c
Step-by-step explanation:
because i solved it on paper
Answer:
Step-by-step explanation:
C
Which expression is equivalent to StartFraction RootIndex 7 StartRoot x squared EndRoot Over RootIndex 5 StartRoot y cubed EndRoot
Answer:
Option A
Step-by-step explanation:
How do I factor . X2 { squared } -9x+28?
Dashawn solves the following system of equations using the elimination method.
3x−4y=36
5x+2y=8
What value does he correctly determine for x?
Enter you answer in the box.
Answer:
x = 4
Explanation:
3x - 4y = 36
5x + 2y = 8 ( multiply all by two )
3x - 4y = 36
10x + 4y = 16
13x = 52
Divide by 13
x = 4 hope this helps
Answer: x = 4
Step-by-step explanation: the dude is correct
what year was it, exactly 4 centuries before 1965?
Based on the number of years in a century, we can calculate that the 4 centuries before 1965 was 1565.
A century refers to a period of 100 years.
If we are looking for a period of 4 centuries therefore, this would be:
= 4 x 100
= 400 years
4 centuries before 1965 would therefore be:
= 1965 - 400
= 1565
In conclusion, the answer is 1565.
Find out more at https://brainly.com/question/17498856.
Find the indicated probability.
The following table show the results of a clinical trial for an allergy drug.
(ASAP) helpp i need to get this done 3m
3(a-4) + 1= 9 - a
3(a-4) = 8 - a
3a-12 = 8 - a
4a = 20
a=5
I hope this helps! :)
Answer:
a=5
Step-by-step explanation:
3(a-4)+1=9-a
3a-12+1=9-a
3a-11=9-a
3a+a=9+11
4a=20
a=20÷4
=5
If the height of a cone is 7.5 cm and the radius is 2 cm, find the approximate volume of the cone.
Answer:
The volume of the cone is approximately 31.43 cm³Step-by-step explanation:
We know that:
Volume of cone: πr²h/3h = 7.5r = 2Work:
πr²h/3=> π x r² x h/3=> 22/7 x 2² x 7.5/3=> 22/7 x 4 x 2.5=> 22/7 x 10=> 220/7=> 31.43 (Rounded to nearest hundredth.)Hence, the volume of the cone is approximately 31.43 cm³
Hoped this helped.
[tex]BrainaicUser1357[/tex]
10 feet long and 5 feet wide. What is its area?
Answer:
50 square feet
Step-by-step explanation:
Length x width
Answer:
50
Step-by-step explanation:
10 times 5 = 50
PLS HELP WILL MARK YOU BRAINLIEST!!!
[tex]\\ \sf\longmapsto (3x-2x^2+3)-(-5x^2+3x+5)[/tex]
[tex]\\ \sf\longmapsto 3x-2x^2+3+5x^2-3x-5[/tex]
[tex]\\ \sf\longmapsto 5x^2-2x^2+3x-3x+3-5[/tex]
[tex]\\ \sf\longmapsto 3x^2-2[/tex]
Answer:
The answer is B
Step-by-step explanation:
3x - 2x^2 + 3 -(-5x^2 + 3x + 5)
3x - 2x^2 + 3 + 5x^2 - 3x - 5
= 3x^2 - 2
A line containing the points (x, 1) and (2, 4) has a slope of 1/4. Find the value of x.
Answer:
Step-by-step explanation:
Givens
m = 1/4
y2 = 4
y1 = 1
x2 = 2
x1 = x
m = (y2 - y1) / (x2 - x1)
Solution
1/4 = (4 - 1) / (2- x) Simplify
1/4 = 3 / (2 - x) Cross multiply
2- x =12 Subtract 1 from both sides
-x = 12 - 2
-x = 10 Multiply by -1
x = -10
Check
1/4 = (4 - 1) / (2 - - 10)
1/4 = 3/(2 + 10)
1/4 = 3 / 12
1/4 = 1/4
Odd as the answer is, it does check.
helppppppp
plwaseeee