Step-by-step explanation:
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.
Justin calculates the perimeter of a rectangle with a length of 2x-3 and width
of X+4. He tells his teacher the answer is 3x-1. Is he correct or incorrect and why?
Answer:
No
Step-by-step explanation:
No, because the perimeter of a rectangle is 2(x+y). Justin added the sides. Then he should have multiplied by 2 but he didn't so Justin is incorrect.
Hope this helps plz mark brainliest :D
Answer:
No, his answer should have been 6x+2
Step-by-step explanation:
The equation for perimeter is 2L+ 2W=P
so 2 (2x-3) + 2 (x+4) = 6x+2
mia earned $6 by selling 2 cups of lemonade how much money will mia earn after selling 4 cups
Answer:
24
Step-by-step explanation:
times 6 by 4 and you get 24
You roll an eight-sided die. What is the chance that it will land on either a 2 or a 5? Write your answer as a fraction.
Answer:
2/8 and the simplified version is 1/4
Step-by-step explanation:
Answer:
2/8
Step-by-step explanation:
First you know that it is a eight- sided die. 2 or 5 are two numbers so it is 2/8.
you put all of the numbers and count them up on the top as numerators ex: 2/ Then the number of the sided die as the denominator.ex: 2/8 Hope this helped.
which one of these is. linear function
What is an equation of the line that passes through the points (4,−1) and (8, 5)? Put your answer in fully reduced form.
HELP PLS
Answer:
y=2/3x-7
Step-by-step explanation:
The slope intercept formula is
y=mx+b
(m) is the slope (rate of change)
(b) is the y intercept (where the line crosses the y axis [vertical])
We need to find the slope and the y intercept. First we will find the slope.
The formula for slope is y1-y2/x1-x2
In and ordered pair the first value is the (x) and the second is the (y).
(x, y)
We take the (y) of one of the given points and subtract the (y) of the second given point, then divide it by the (x) of one of the given points and the (x) of the other given point.
5-(-1)/8-4
Simplify.
5-(-1) =5+1= 6
8-4=4
6/4 Simplify
3/2 is our slope.
Now we apply out new slope into our y=mx+b
y=3/2x+b
Now we need to find the (b) which is the y intercept.
To do this we need to use one of our given points, you can choose either but for this I'll use (4, -1).
In this ordered pair 4 is the (x) and -1 is the (y)
So replace (y) with -1 and (x) with 4
-1=3/2(4)+b
Now solve as usual.
-1=6+b
subtract 6 from each side
-7=b
b=-7
Put our (m) and (b) into our formula.
y=2/3x-7 is our equation.
I need to know what equals y
Since a^2 - b^2 = 1, the value of y = 1 because x=1 and 1^2 - 1^2 = 0
A 3-column table with 2 rows. Column 1 is labeled Scale factor with entries 1, 1.25. Column 2 is labeled Width with entries 8 inches, A. Column 3 is labeled Length with entries 28 inches, B.
The value of A is ____?
The value of B is____?
Answer:
The Value of "A" is 10.0 Inches
The Value of "B" is 35 Inches
Step-by-step explanation:
Got it right on
E D G E N U I T Y 2021
The value of A is 10.
The value of B is 35.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
A 3-column table with 2 rows. Column 1 is labeled Scale factor with entries 1, 1.25. Column 2 is labeled Width with entries 8 inches, A. Column 3 is labeled Length with entries 28 inches, B.
Hence, We can formulate;
The value of A = 1.25 × 8
= 10
And, The value of B is,
⇒ 1.25 × 28
⇒ 35
Learn more about the multiplication visit:
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Find an equation for the line below.
Help me please :(
Answer:
y=3/2x+5/2
Step-by-step explanation:
I used the Y2-Y1/X2-X1
In this equation you can see that there are 2 points (-5,-5) and (1,4)
If you substitute, you will get
4+5/1+5
9/6 and if you simplify this, you will get 3/2
Now that we have the slope, we just have to use y=mx+b
(I'm using the point (1,4)) 4=3/2(1)+b
4=3/2+b
5/2=b
If SJL = DMT, which segment corresponds to LS?
Add. Write your answer as a fraction in simplest form.
9/10+(-4/5)=?
Answer:
The answer is 1/10
Julio says, "If you subtract 19 from my number and multiply the difference by - 7, the result is - 28." What is Julio's number?
Julio's number is
Answer:
23
Step-by-step explanation:
Basically I did it backwards & opposites:
-28 divided by -7 = 4
4 + 19 = 23
I checked btw and it worked.
Don’t know what to do
Answer:
try and solve it sir
Step-by-step explanation:
Answer:
ask your friends of they are intelligent
(5,3) and (5,1) and determine the
equation of the line.
Answer:
its a vertical line at X=5
Step-by-step explanation:
there are multiple y values for one x value
Answer: you tell me
Step-by-step explanation:
Each bowling ball weighs 7.3*10^3 grams. The bowling alley has 2.0*10^2 bowling balls. How much do they all weigh, combined? Express your answer in scientific notation.
Answer:
1.46 x 10⁶g
Step-by-step explanation:
Given parameters:
Weight of each bowling ball = 7.3 x 10³g
Number of balls in the bowling alley = 2.0 x 10²bowling balls
Unknown
The weight of the balls in the alley = ?
Solution:
To find the weight of the balls in the alley, multiply the mass of each balls with the total number of balls;
Weight of the balls = 7.3 x 10³ x 2.0 x 10²
Weight of the balls = (7.3 x 2.0) x 10³⁺²
Weight of the balls = 14.6 x 10⁵g
Therefore, the weight of the balls = 1.46 x 10⁶g
Which terms are like terms in the following expression? 3x + 3xy – 2x + 5y + 5x2
3x, -2x and 5x2
3x and -2x
3x, 3xy, -2x and 5y
All terms are alike.
Answer:
3x, -2x
Step-by-step explanation:
they both have x as a variable
Answer:
3x, -2x
Step-by-step explanation:
Which equation has no solution?
Answer:
C.Step-by-step explanation:
C.
5/8x + 25 = 3/8x + 15 + 1/4x5/8x + 10 = 3/8x + 2/8x5/8x + 10 = 5/8x10 = 0Mutpliy please I need to finish this:)
Answer: 1. p^24 2. r^7 3. s^35 4. u^13
Step-by-step explanation: Hope this helps!
idkidcbutanswer hey heres your brainliest!!! (only idkidcbutanswer will get brainliest on this i owe them)
4-(-4)=?
Answer:
the answer is -8
Step-by-step explanation:
this is because when you subtract four from negative four you add the negative four and it becomes 8 but since it'snegative it would be -8
Answer:
i got 8
Step-by-step explanation:
ur questions range on so many level, ngl
The function f(x) = 125(0.80)to the power of x models the retail price of a CD player x years since it was first produced. What is the average rate of change in the retail price between years 2 and 4?
Answer: $28.80 per year
How many solutions does this system
have?
4x – 2y = 12
20x
10y =160
A. None
B. One
C. Infinite
The ratio of the coefficient is the same so it will be the infinite solution of a given system of the equation so option (C) will be correct.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
A linear equation could contain more than one variable. When the maximum power of the variable is constantly uni, an equation is said to be linear.
Given the set of equation
4x - 2y = 12
20x - 10y = 160
The ratio of x coefficient = 4/20 = 1/5
The ratio of y coefficient = -2/-10 = 1/5
The ratio of the constant term = 12/160 = 1/5
Since all ratios are the same so there will be an infinite number of solutions.
The question was incomplete, but the complete question is given below.
How many solutions does this system have?
4x – 2y = 12
20x - 10y = 60
A. None
B. One
C. Infinite
For more about the equation
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PLEASE HELP!!!!!
If n/8 has a remainder of 5, then which of the following has a remainder of 7?
A) n+1/8
B) n+2/8
C) n+5/8
D) n+7/8
Answer:
[tex]\frac{n+2}{8}[/tex] has a remainder of 7 ⇒ B
Step-by-step explanation:
In m ÷ n = c + [tex]\frac{r}{n}[/tex] ,
m is the dividendn is the divisorc is the quotientr is the remainderm = (n × c) + rLet us use the facts above to solve the question
∵ [tex]\frac{n}{8}[/tex] has a remainder of 5
→ Let us find the first number divided by 8 and give a reminder of 5
that means let the quotient = 1
∵ n = (8 × 1) + 5 = 8 + 5
∴ n = 13
∵ [tex]\frac{n+x}{8}[/tex] has a remainder of 7
→ Let us find the first number divided by 8 and give a reminder of 7
that means let the quotient = 1
∵ n + x = (8 × 1) + 7 = 8 + 7
∴ n + x = 15
∵ n = 13
∴ 13 + x = 15
→ Subtract 13 from both sides
∴ 13 -13 + x = 15 - 13
∴ x = 2
∴ [tex]\frac{n+2}{8}[/tex] has a remainder of 7
Which pairs of events describe independent events?
Select all that apply.
A Flipping a coin and having it land with the tails side up; drawing a 7 from a standard deck of cards.
B Pulling a red sock from a drawer with 3 red socks and 5 blue socks and not replacing it; then pulling another red sock from the same drawer.
C Rolling a standard six-sided die and having it land on a 1; selecting a blue block from a tub of red and blue blocks.
D Drawing a king from a standard deck of cards and not replacing it; then drawing a queen from the same deck of cards.
Answer:
A and C
Step-by-step explanation:
Both events in A and C have no connections whatsoever. B and D are dependant of each other due to both having to do with ether both socks or both cards.
Find the slope of the line that passes through (1, 13) and (10, 6).
2(x + 1 ) - 3(x + 5) ≥ 0
plss help
Answer:
Inequality form x less than or equal to -13
Step-by-step explanation
Answer:
x ≤ -13
Step-by-step explanation:
2(x + 1) - 3(x + 5) ≥ 0
Distribute the 2
(2 × x) + (2 × 1)
2x + 2 - 3(x + 5) ≥ 0
Distribute the -3
(-3 × x) + (-3 × 5)
2x + 2 - 3x + (-15) ≥ 0
2x + 2 - 3x - 15 ≥ 0
Combine like terms
2x - 3x + 2 - 15 ≥ 0
-x + (-13) ≥ 0
-x - 13 ≥ 0
+13 +13
-x ≥ 13
Divide both sides by -1 and flip the sign
x ≤ -13
Six friends decide to split the check at a restaurant evenly.
If the total cost of dinner was $108.53, how much money should each person pay if they want to include an 18% tip?
Answer:
I think the answer would be $21
Step-by-step explanation:
On a calculator you type 108.53 then divide it by six and add 18%.
9. FLUENCY: ONLY USE A CALCULATOR TO CHECK!
1500 + (6 + 4*) 37
Your answer
Answer:
1870
Step-by-step explanation:
1500 + (6 + 4) * 37
= 1500 + 10 * 37
= 1500 + 370
= 1870
Answer:
1870
Step-by-step explanation:
1500+(6+4)37
=1500+10*37
=1500+370
=1870
0.8 x 5.9 if you help me I mark you as brainlest or whatever it is called help asap
Answer:
4.72
Step-by-step explanation:
Put 0.8 over 5.9, keep the decimal in the same place, then multiply the two numbers. Easy.
Please answer the only one that's empty the question is
+ 10 = +
Answer:
2(10-x)+12
Step-by-step explanation:
The math department needs to buy new textbooks and laptops for the computer science classroom. The textbooks cost $116.00 each, and the laptops cost $439.00 each. If the math department has $6,500 to spend and purchases 30 textbooks, how many laptops can they buy
Answer:
6 laptops
Step-by-step explanation:
First, find the amount spent on the textbooks:
30(116)
= 3480
Subtract this from the total amount they have to spend:
6500 - 3480
= 3020
Divide this amount by 439 to find how many laptops they can buy:
3020/439
= 6.8
Round down to 6 since you can only have full laptops:
= 6
So, they can buy 6 laptops
Clayton climbed down 120 meters. He climbed down in 30-meter intervals. In
how many intervals did Clayton make his climb.
Answer:
4 intervals.
Step-by-step explanation:
120/30=4
Answer:
40x30=120
Step-by-step explanation:
