Answer:
An object moving along the x-axis is said to exhibit simple harmonic motion if its position as a function of time varies as
x(t) = x0 + A cos(ωt + φ).
The object oscillates about the equilibrium position x0. If we choose the origin of our coordinate system such that x0 = 0, then the displacement x from the equilibrium position as a function of time is given by
x(t) = A cos(ωt + φ).
A is the amplitude of the oscillation, i.e. the maximum displacement of the object from equilibrium, either in the positive or negative x-direction. Simple harmonic motion is repetitive. The period T is the time it takes the object to complete one oscillation and return to the starting position. The angular frequency ω is given by ω = 2π/T. The angular frequency is measured in radians per second. The inverse of the period is the frequency f = 1/T. The frequency f = 1/T = ω/2π of the motion gives the number of complete oscillations per unit time. It is measured in units of Hertz, (1 Hz = 1/s).
The velocity of the object as a function of time is given by
v(t) = dx(t)/dt = -ω A sin(ωt + φ),
and the acceleration is given by
a(t) = dv(t)/dt = -ω2A cos(ωt + φ) = -ω2x.
A family restaurant chain wants to test the market for a new menu item: a grilled chicken sandwich with chipotle salsa. They are interested in both how to market the item and the right price to charge for it. They decide to offer the sandwich at 60 different restaurants in the chain, using two different descriptions on the menu. Half the restaurants' menus will emphasize "healthy eating" and half will emphasize "value." These two groups of restaurants will be further divided in three groups, each charging either a High, Medium, or Low price for the sandwich. After a month, they will measure what proportion of customers order the new sandwich.
Answer:
Experimental units, factors & treatments in experiment.
Step-by-step explanation:
Experimental Units are the 60 restaurants.
Factors are the : Menu description & price
Treatments in experimental design : Healthy Low Price, Healthy Medium Price, Healthy High price & Value low price, Value medium price, Value high price.
Will give crown! Help
Answer: The slope is -5/7
Step-by-step explanation:
Slope is rise/run
The rise is -5, and the run is 7
This is why the slope is -5/7
Answer:
The rise is 6 and the run is 7 6/7
-4(2-5b)=132
whats b?
Answer:
b = 7
Step-by-step explanation:
- 4(2 - 5b) = 132
- 4 × 2 - 4 × (- 5b) = 132
-8 + 20b = 132
20b = 132 + 8
20b = 140
b = 140/20
b = 7
Thus, The value of b is 7
-TheUnknownScientist
What are the next two terms in the sequence 22, 15, 8, __, __? 1, -7 2, -4 2, -6 1, -6
Step-by-step explanation:
The sequence is an AP with common difference -7.
Therefore the next 2 terms are 1 and -6.
The next two terms are ( 1, - 6 ) so the correct answer is option D.
What is arithmetic progression?
The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression.
The next two numbers will be calculated as:-
22, 15, 8, __, __
Common difference = 15 - 22 = -7
Add this common difference in 8 to find the next term.
Next term = 8 - 7 = 1
Again add -7 to 1 to find the next term.
Next term = 1 - 7 = -6
Therefore the next two terms are ( 1, - 6 ) so the correct answer is option D.
To know more about arithmetic progression follow
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What is the equation of the line that passes through the point (4,−7) and has a slope of -1/2?
Step-by-step explanation:
y = -0.5x + c
When x = 4, y = -7.
=> (-7) = -0.5(4) + c, c = -5.
Therefore the equation is y = -0.5x - 5.
Answer:
y = -1/2 x - 5
Step-by-step explanation:
y = mx + b
m = slope = -1/2
y = -1/2 x + b
-7 = -1/2 * 4 + b
-7 = -2 + b
b = -5
y = -1/2 x - 5
Match the equation and the description non-proportional Realationship
Answer:
A. [tex]y =\frac{7}{8}x+1[/tex]
B. [tex]y = -10x[/tex]
C. [tex]y = 2.5x - 7[/tex]
D. [tex]y = 1.2x[/tex]
E. [tex]y = -5x -8[/tex]
Step-by-step explanation:
Let the descriptions be A to E.
First, we need to note the followings.
An equation is of the form
[tex]y = mx + b[/tex]
[tex]m = slope[/tex] and [tex]b = y\ intercept[/tex]
A. Non proportional graph with positive y intercept
From the list of options, only
The slope of [tex]y =\frac{7}{8}x+1[/tex] is positive
and y intercept is also positive
B. Negative slope and pass through the origin.
Negative slope means m is negative
From the list of options
[tex]y = -10x[/tex] and [tex]y = -5x -8[/tex]
Origin implies (0,0)
i.e: [tex]x = 0[/tex] and [tex]y = 0[/tex]
For y = -10x
[tex]0 = -10 * 0[/tex]
[tex]0 = 0[/tex] --- This is true
For [tex]y = -5x -8[/tex]
[tex]0 = -5 * 0 - 8[/tex]
[tex]0 = 0 - 8[/tex]
[tex]0 = -8[/tex] --- This is not true
Hence:
[tex]y = -10x[/tex] fits this description
C. Increases from left to right and b is negative
For b is negative, we have the following:
[tex]y = -5x -8[/tex] and
[tex]y = 2.5x - 7[/tex]
An increment from left to right, means the slope is positive.
So, we have:
[tex]y = 2.5x - 7[/tex]
D. Positive slope and contains (0,0)
From the options, we have the following functions left:
[tex]y = -5x -8[/tex] and
[tex]y = 1.2x[/tex]
But [tex]y = 1.2x[/tex] has a positive slope and also contain (0,0) because
[tex]0 = 1.2 * 0[/tex]
[tex]0 = 0[/tex]
E. Negative m and Negative b
[tex]y = -5x -8[/tex] has these descriptions
Which number line shows the solution of 6x-12 > -6? A. -10 - - - -6 -5 4 2 -1 0 1 2 3 B. -10-9-8 -6 5. -2 -1 0 1 2 3 4 5 6 7 8 9 C. 69 -10-9-8 -6 -5 -4 الم re 4 5 6 7 8 9 10 D. -10-9-8 6 7 8 9 10
Answer:d
Step-by-step explanation:
The number line that represents the inequality 6x - 12 > -6 is (D)
How to determine the number line?The inequality is given as:
6x - 12 > -6
Add 12 to both sides
6x > 12 - 6
Evaluate the difference
6x > 6
Divide both sides by 6
x > 1
The number line that represents the above inequality is (D)
Read more about number lines at:
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ASAP I AM BEING TIMED I WILL MARK BRAINLIST
In psychology, the word "Gestalt" refers to
 A. a personality type

B. an adaptation that increases chances of survival 
C. the organization of parts into a whole pattern
 D. a learned response to a stimulus  E. the unconscious forces that drive behavior
Answer:
C. the organization of parts into a whole pattern
Step-by-step explanation:
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Answer:
this is soo deep lol. free point epic pogg
PLZ ANSWER.. I NEED HELP!?!?
factorise x^2+5x+6
Answer:
there is no like terms
Step-by-step explanation:
Answer:
(x+2)(x+3)
Explanation:
(x+2)(x+3)
If you simplify this, you get:
x*x = x^2
x*3 = 3x
2*x = 2x
2*3 = 6
If we add these all together we will have:
x^2 + 3x + 3x + 6
Combine like terms
x^2 + 5x + 6
Give an example of a data set with an outlier. Describe how the outlier affects the mean, median, and mode of the data
Answer:
Outlier An extreme value in a set of data which is much higher or lower than the other numbers. ... Outliers affect the mean value of the data but have little effect on the median or mode of a given set of data.
Step-by-step explanation:
Hope it is helpful....
Amplitude of 16 units, a period of 5 units, a vertical displacement of 3 units up and a phase shift of 2.5 units left.
The question is incomplete. The complete question is :
A sine function that has an amplitude of 16 units, a period of 5 units,a vertical displacement of 3 units up and a phase shift of 2.5 units left. Graph this function and show each step.
Solution :
The standard form of the sine function is
y = a sin (bx - c) + d
Here given :
Amplitude, a = 16
Period : [tex]$\frac{2 \pi}{|b|} = 5$[/tex]
⇒ [tex]$b = \frac{2\pi}{5}$[/tex]
Phase shift : [tex]$\frac{c}{b} = 2.5$[/tex]
[tex]$\Rightarrow \frac{c}{2 \pi/5}=\frac{5}{2}$[/tex]
∴ [tex]$c = - \pi$[/tex]
The vertical displacement : d = 3 units up
Now substituting a, b, c and d values in the standard form gives :
[tex]$y = 16 \sin \left( \frac{2 \pi}{5}x -(- \pi)\right) + 3$[/tex]
[tex]$y = 16 \sin \left( \frac{2 \pi}{5}x + \pi\right) + 3$[/tex]
The graph is attached below.
A pickup truck carrying 10*3 identical bricks weighs 6,755 pounds. If the empty truck weighs 6,240 pounds, what is the weight of each brick? Explain how you solved the problem.
Answer:
The truck now weighs 2130 kilograms. Hope this helps.
Step-by-step explanation:
Helpppppppppppppppppppppppp
Answer:
Step-by-step explanation:
nose maffddnojgjfkufieo3owoeoiff
Plz help I will give your brainliest
Complete the statement
Isosceles triangle A ABC has congruent angles at B and C. If BC is bisected at D and AD is drawn, by the side, side, side triangle congruence postulate,
(1 point)
O AADB AADC
O AADBA AABC
Ο ΔΑΒCA ΔΑDC
O AADB ADCA
Answer:
∆ ADB = ∆ ADC
What are the zeros of fx) =-8x+ 16? Yes
Answer:
There is one Zero.
Step-by-step explanation:
Hope this helps:)
the coffee pub has cans of coffee that weigh 3 1/4 pounds each. the pub has 8 1/2 cans of coffee left. what is the total weight of 8 1/2 cans ? show your work
Final Answer: [tex]27\frac{5}{8}[/tex] pounds
Final Answer Reason: The total weight of [tex]8\frac{1}{2}[/tex] cans would be [tex]27\frac{5}{8}[/tex] pounds
Steps/Reasons/Explanation:
We'll need to find the total weight of [tex]8\frac{1}{2}[/tex] cans, so we would need to multiply [tex]3\frac{1}{4}[/tex] cans by [tex]8\frac{1}{2}[/tex] cans. We are solving for the total weight of [tex]8\frac{1}{2}[/tex] cans.
Question: The coffee pub has cans of coffee that weigh [tex]3\frac{1}{4}[/tex] pounds each. The pub has [tex]8\frac{1}{2}[/tex] cans of coffee left. What is the total weight of [tex]8\frac{1}{2}[/tex] cans?
Solve For: The total weight of [tex]8\frac{1}{2}[/tex] cans.
Steps: Multiply to find total weight of [tex]8\frac{1}{2}[/tex] cans.
[tex]3\frac{1}{4}[/tex] × [tex]8\frac{1}{2}[/tex]
= [tex]\frac{13}{4}[/tex] × [tex]\frac{17}{2}[/tex]
= [tex]\frac{221}{8}[/tex]
= [tex]27\frac{5}{8}[/tex]
~I hope I helped you :)~
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?
The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.
Answer:
if you fill them all in corectly you should get not A
Not C NOR D THE ANSWER IS B 10 plus 14 equals 24 and 3 times 10 equals 30 and plus 5 times 14 equals 70 so the answer is B
tep-by-step explanation:
Find ln(-127.1).
this question must be at least 20 characters long so here’s some extra characters but that’s the whole question^
Answer:
The natural logarthim of a negative is undefined.
your answer must be simplified
−3 < x -10
Answer:
[tex]x>7[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that,\\-3<(x-10)\\Now,\\By\ adding\ both\ the\ sides\ by\ 10,\\(-3)+10<(x-10)+10\\Hence,\\10-3<x-10+10\\7<x\\Or,\\x>7[/tex]
Write the equation of the table shown below.
Х
0
2
5
9
12
у
4
6
9
13
16
Answer:
sorry... but the image is all black
I cant see anything
The height of a parallelogram is 5 feet more than its base. If the area of the parallelogram is 204 feet, find its base and height
Step-by-step explanation:
Let
base=x
height=x+5
we know that in a parrelogram
[tex]\boxed{\sf Area=base×height}[/tex]
Substitute the values[tex]{:}\rightarrowtail\sf x(x+5)=204 [/tex]
[tex]{:}\rightarrowtail\sf x^2+5=204 [/tex]
[tex]{:}\rightarrowtail\sf x^2=204-5 [/tex]
[tex]{:}\rightarrowtail\sf x^2=199 [/tex]
[tex]{:}\rightarrowtail\sf x=\sqrt {199}[/tex]
[tex]{:}\rightarrowtail\sf x=14.1[/tex]
[tex]{:}\rightarrowtail\sf base=14.
1feet[/tex]
[tex]{:}\rightarrowtail\sf Height =14.1+5=19.1feet [/tex]
how many times does 35 go into 78?
Answer:
It goes in 2 times
Step-by-step explanation:
Can i have branliest, so i can go up a rank?
Answer:
35 goes into 78 two whole times but, it goes into it 2.22857143 times, or rounded to 2.23 times. the answer you put down depends on the directions.
Which trigonometric identity can be used to prove the given statement?
tan0 cos0 = sin0
Answer:
Step-by-step explanation:
Free trigonometric identity calculator - verify trigonometric identities step-by-step This website uses cookies to ensure you get the best experience. By using this website, you agree to our Cookie Policy.
What is the measure of AC?
Answer:
A or B
Step-by-step explanation:
PLEASE PLEASE HELP 25 POINTS I WILL MARK BRAINLIEST
Answer:
D
Step-by-step explanation:
(3, 9) (-3, 5)
0 is in the middle 7 is in the middle
for x: 3 2 1 0 -1 -2 -3 for y: 9 8 7 6 5
Thus, (0, 7) is the midpoint between (3, 9) and (-3, 5)
I need help with this asap
The following temperatures were recorded in Pasadena for a week in April: 87, 85, 80, 78, 83, 86, 90. Determine the interquartile range. Type a numerical answer in the space provided.
Answer:
7
Step-by-step explanation:
87 - 80 = 7
easy multiple choice!
Answer:
-4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
4x + 5y = -12
-2x + 3y = -16
Step 2: Rewrite Systems
-2x + 3y = -16
Multiply everything by 2: -4x + 6y = -32Step 3: Redefine Systems
4x + 5y = -12
-4x + 6y = -32
Step 4: Solve for y
Elimination
Combine 2 equations: 11y = -44Divide 17 on both sides: y = -4Answer:
-4
Step-by-step explanation:
Have a great day, my dudes!