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Related Questions
This is an example of an Undamped Forced Oscillation where the phenomenon of Beats Occurs.
Find the solution of the initial value problem:
x''+33.64x=4cos(6t),x(0)=x'(0)=0
x(t)=
Answers
Undamped forced oscillation and Beats Phenomenon Undamped forced oscillation:In an undamped forced oscillation, the amplitude of oscillation can become very large if the driving force is close to the natural frequency of the oscillator. Such oscillations are observed, for example, in the vibrations of a guitar string when it is plucked.
The energy input from the plucking causes the string to vibrate at its natural frequency.Beats phenomenon:Beats are the oscillations that result when two sound waves of slightly different frequencies interfere with one another. They are the result of the difference between the frequencies of the two waves. Beats are commonly observed in music and are a fundamental concept in sound and acoustics.
Now, let's find the solution of the given initial value problem:The given equation is x''+33.64x=4cos(6t) with x(0)=0 and x'(0)=0.To solve this, first, we need to find the homogeneous solution, xh(t) by solving the auxiliary equation as:r²+33.64=0r = ±√(-33.64) = ±5.8jAs the roots are imaginary, the general solution for the homogeneous equation is:xh(t) = c1cos(5.8t) + c2sin(5.8t)where c1 and c2 are constants.
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decomposition of ni3 produces nitrogen gas and iodine. how many grams of the reactant would be required to react completely to give 1.18 g of the iodine?
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The decomposition of Ni3 produces nitrogen gas and iodine. How many grams of the reactant would be required to react completely to give 1.18 g of iodine?To begin with, write the balanced equation for the decomposition of Ni3:2Ni3(s) → 3I2(s) + N2(g)
From the balanced equation above, the stoichiometric ratio between Ni3 and I2 is 2:3 that is, for every 2 moles of Ni3 decomposed, 3 moles of I2 is produced.To find the mass of Ni3 that would produce 1.18 g of I2, we need to find the number of moles of I2 produced first.The molar mass of I2 = 253.8 g/molNumber of moles of I2 produced = Mass / Molar mass = 1.18 / 253.8 = 0.004645 molFrom the stoichiometry, 2 moles of Ni3 produce 3 moles of I2, which can be written as:2 mol Ni3 → 3 mol I2
The number of moles of Ni3 that would produce 0.004645 mol of I2 can be obtained using the ratio:2 mol Ni3 / 3 mol I2 = 0.6666667 mol Ni3The mass of Ni3 required to produce 1.18 g of I2 can be obtained by multiplying the number of moles of Ni3 obtained above by the molar mass of Ni3:Mass = moles x molar mass = 0.6666667 x 100.7= 67.11 gTherefore, 67.11 g of Ni3 would be required to react completely to give 1.18 g of iodine.
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please help me I'm being timed
Answers
What is the value of x?
6 (-3 -x) - 2x = 14
Answers
Answer:
x= -5 hope this helps
Step-by-step explanation:
did the math
25 times the sum of X and Y? and 8 more than the quotient of q and t?
Answers
Answer:
this hard
Step-by-step explanation:
I need help detrmine the slope
Answers
Answer:
slope = [tex]\frac{5}{4}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (8, 6)
m = [tex]\frac{6+4}{8-0}[/tex] = [tex]\frac{10}{8}[/tex] = [tex]\frac{5}{4}[/tex]
To find the product of a 3-digit number and a 1-digit number,
you can multiply the ones, multiply the tens, multiply the
hundreds, and find the sum of each
Answers
Answer:
each number is the answer
Step-by-step explanation:
Sam was asked to place the numbers shown below in order from greatest to least.
1,-0.5, 4, 350%, -1, 4.7, -66, 1.22
After ordering the numbers from greatest to least, what number would Sam have in the fifth position?
A. 122
B. O 350%
C.O}
D.O
Answers
Answer:7 2 w
Step-by-step explanation:
Jsjw22
Dominique bought 7.5 pounds of peanuts at $4.00 per pound. How much should she have paid?
Answers
Answer:
30
Step-by-step explanation:
Dominique should have paid $30
ex: 7.5 x 4.00= 30
when calculating the impedance of a series r-l circuit, the total . a. series reactance is equal to the sum of the reactances in series b. resistance is equal to the sum of the resistances in series c. impedance is equal to the complex sum of the total series resistance and total series reactance d. all of the above
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When calculating the impedance of a series R-L circuit, the total impedance is equal to the complex sum of the total series resistance and total series reactance. Therefore, the correct option is (c) impedance is equal to the complex sum of the total series resistance and total series reactance.
A series R-L circuit contains resistance and inductance components connected in series across an AC source. The voltage across both the resistance and the inductor is the same in a series R-L circuit. It is the total current through the circuit that is in phase with the resistor's voltage and 90° out of phase with the inductor's voltage. The inductive reactance is denoted by XL, which is a function of the inductor's value and the frequency of the AC supply.In an R-L circuit, there are two types of impedances: total impedance and phase angle. The total impedance Z is equal to the complex sum of the circuit's resistance and reactance. It is measured in ohms (Ω).Resistance is equal to the sum of resistances in series, and series reactance is equal to the sum of reactances in series.
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A business orders 330 flowers for their employees on Valentine's Day. Roses cost
$4.50 each, carnations cost $3.00 each, and lilies cost $2.50 each. There are 20
more lilies than roses. The total of the order came to $1,080.00. How many of each
type of flower were ordered? Write a system of equations that represents the
scenario.
Answers
Answer:
Roses = x = 100
Carnations = y = 110
Lilies = z = 120
Step-by-step explanation:
Roses = $4.50
Carnations = $3.00
lilies = $2.50
Total flowers ordered = 330
Total cost = $1,080
Let
Roses = x
Carnations = y
Lilies = z
x + y + z = 330
4.50x + 3y + 2.50z = 1080
There are 20
more lilies than roses
z = x + 20
Substitute z = x + 20 into the equations
x + y + (x + 20) = 330
4.50x + 3y + 2.50(x + 20) = 1080
x + y + x + 20 = 330
4.50x + 3y + 2.50x + 50 = 1080
2x + y = 330 - 20
7x + 3y = 1080 - 50
2x + y = 310 (1)
7x + 3y = 1030 (2)
Multiply (1) by 3
6x + 3y = 930 (3)
7x + 3y = 1030 (2)
Subtract (3) from (2)
7x - 6x = 1030 - 930
x = 100
Substitute x = 100 into (1)
2x + y = 310
2(100)+ y = 310
200 + y = 310
y = 310 - 200
= 110
y = 110
Substitute the value of x and y into
x + y + z = 330
100 + 110 + z = 330
210 + z = 330
z = 330 - 210
= 120
z = 120
Roses = x = 100
Carnations = y = 110
Lilies = z = 120
Matina made deposits of $2,000 at the beginning of each year for four years. The rate she earned is 5% annually. What's the value of Martina's account in four years?
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The value of Matina's account in four years, considering the $2,000 deposits at the beginning of each year and a 5% annual interest rate, would be approximately $8,620.25.
To calculate the value of Matina's account in four years, we can use the formula for the future value of an ordinary annuity.
The formula is:
[tex]FV = P \times [(1 + r)^n - 1] / r[/tex]
Where:
FV is the future value of the annuity
P is the periodic payment or deposit amount
r is the interest rate per period
n is the number of periods.
P = $2,000 (deposit amount)
r = 5% = 0.05 (annual interest rate)
n = 4 (number of years)
Plugging in the values into the formula:
[tex]FV = $2,000 \times[(1 + 0.05)^4 - 1] / 0.05.[/tex]
Simplifying the expression:
[tex]FV = $2,000 \times [1.05^4 - 1] / 0.05[/tex]
Calculating the exponential term:
[tex]1.05^4\approx 1.21550625[/tex]
Plugging in the calculated value:
[tex]FV = $2,000 \times (1.21550625 - 1) / 0.05[/tex]
[tex]FV ≈ $2,000 \times 0.21550625 / 0.05[/tex]
FV ≈ $8,620.25
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Solve this problem, and identify the percent, amount, and base. What percent of 50 is 20 ? Percent =40, Amount =20, Base =50
Percent =40, Amount =50, Base =20
Percent =50, Amount =10, Base =20
Percent =20, Amount =10, Base =50
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The percentage of 50 that is 20 is 40 percent. The correct option therefore is the first option;
Percent = 40, Amount = 20, Base = 50What is the formula for finding a percentage?The percentage of an amount within a base can be found using the formula;
Percent = (Amount/Base) × 100
Therefore, the percentage an amount represents in a base can therefore be found using the above formula.
The percentage required is the percentage in 50 represented by 20
Therefore the percentage is; Percent = (20/50) × 100 = 40%
The correct option is therefore;
Percent = 40, Amount = 20, Base = 40
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10 points
Which equation best represents the relationship between the x and y values?
Х
Y
-2
7
2
-5
4
-11
6.
-17
10
-29
A y = x + 9
B y = x2 + 3
Cy=-3x + 1
Dy = x-7
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Answer: C) y = -3x + 1
Step-by-step explanation:
x y
-2 7
2 -5
4 -11
6 -17
10 -29
Choose any two coordinates to find the slope: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
m = -6/2
= -3
Choose any point and plug it into the Point-Slope formula: [tex]y-y_1=m(x-x_1)[/tex]
y - 7 = -3(x + 2)
y - 7 = -3x - 6
y = -3x + 1
Help please answer question
Answers
Answer:
5
Step-by-step explanation:
Hope this helps!
A bag has 2 baseballs (B), 5 tennis balls (T), and 3 whiffle balls (W) What is the probability of pulling out a baseball? Enter your answers in this order: reduced fraction, decimal, and then percent.
Answers
Answer:
1/5
.2
20%
this is just filling so I can post this
The probability of pulling out a baseball is 1/5 or 0.2 or 20%.
What is probability?Probability is simply how likely something is to happen.
[tex]P(pulling\ out\ a\ baseball) = \frac{numbers\ of\ baseball}{total\ numbers\ of\ balls }[/tex]
P(pulling out a baseball) = 2/10 = 1/5 = 0.2 = 20%.
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||x-4|-2|<3
Solve for X
Answers
Answer:
x<11
Step-by-step explanation:
x−4(|−2|)<3
Simplifies to:
x−8<3
Let's solve your inequality step-by-step.
x−8<3
Step 1: Add 8 to both sides.
x−8+8<3+8
x<11
Here are pairs of equivalent expressions—one in standard form and the other in factored form. Find the missing numbers. Type the answers in the boxes below. 1. x2 + x + and (x+1)(x+17) 2. x2+9x+14 and (x+2 )(x + ) 3. x2−7x+10 and (x−2 )(x − ) 4. x2−9x+20 and (x − )(x − )
Answers
1. The missing number is 17.
2. The missing number is 7.
3. The missing number is 5.
4. The missing numbers are 4 and 5.
1. For the expression x^2 + x + ?, we can find the missing numbers by comparing it to the factored form (x+1)(x+17). By expanding the factored form, we get x^2 + 18x + 17. Therefore, the missing number is 17.
2. For the expression x^2 + 9x + 14, we can find the missing numbers by comparing it to the factored form (x+2)(x+?). By expanding the factored form, we get x^2 + 2x + ?x + 2?. We need to find two numbers that multiply to 14 and add up to 9. The numbers that satisfy these conditions are 2 and 7. Therefore, the missing number is 7.
3. For the expression x^2 - 7x + 10, we can find the missing numbers by comparing it to the factored form (x-2)(x-?). By expanding the factored form, we get x^2 - 2x - ?x + 2?. We need to find two numbers that multiply to 10 and add up to -7. The numbers that satisfy these conditions are -2 and -5. Therefore, the missing number is 5.
4. For the expression x^2 - 9x + 20, we can find the missing numbers by comparing it to the factored form (x-?)(x-?). By expanding the factored form, we get x^2 - ?x - ?x + ?. We need to find two numbers that multiply to 20 and add up to -9. The numbers that satisfy these conditions are -4 and -5. Therefore, the missing numbers are 4 and 5.
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A package of 3 pairs of insulated costs $22. 47 What is the unit price of the pairs of gloves?
Answers
Answer:
7.49
Step-by-step explanation:
22.47 divided by 3
The altitude to the hypotenuse of a right triangle divides the triangle into two triangles that are similar to each other and to the original triangle.
Answers
The length of the altitude is 9 units.
To solve this problem, we can use the geometric relationship in a right triangle between the lengths of the altitude, the hypotenuse, and the segments it divides.
Let the length of the altitude be 'h'. According to the problem, the altitude divides the hypotenuse into segments of lengths 6 and 9. Let's denote the lengths of these segments as 'x' and 'y', respectively.
Using the properties of similar triangles, we can set up the following proportion:
h / x = y / (x + y)
Cross-multiplying the proportion:
h(x + y) = xy
Expanding:
hx + hy = xy
Rearranging the equation:
hx - xy = -hy
Factoring out 'h':
h(x - y) = -hy
Dividing both sides by (x - y):
h = -y
From the given information, we know that the lengths of the segments are 6 and 9. So, we substitute x = 6 and y = 9 into the equation:
h = -(9)
h = -9
The length of the altitude is 9 units.
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Question
The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments of lengths 6 and 9. What is the length of the altitude?
Whch of the binomials below is a factor of this trinomial x^2 + 19x + 84.
A)x-7
B)x^2+12
C)x+84
D)x+7
Answers
Answer:
The answer is D) x+7
Step-by-step explanation:
First you have to find multiples of 84 and see if they add up to equal 19.
The price of an article with 13% VAT is Rs. 2,034. What is
the price of same article without VAT? Find it.
Answers
Step-by-step explanation:
Hey there!
Given;
Vat%= 13%
Price after 13% vat = Rs. 2034
Price without vat = x
Then,
Price with vat= price with out vat + vat% of price with vat.
[tex]2034 = x + \frac{13}{100} \timesx [/tex]
[tex]2034 = \frac{100x + 13x}{100} [/tex]
[tex]2034 \times 100 = 113x[/tex]
[tex]x = \frac{2034 \times 100}{113} [/tex]
x = Rs.1800.
Therefore, the price without vat is Rs.1800.
Hope it helps...
. Thomas bought two fans for ₹ 725 each .He sold one of them at a gain of 8% and the other at a loss of 4%. Find his gain or loss on the whole transaction.
Answers
Answer:
So i actually had the same question last year and a friendo sent me the answer its not mine originally so please dont give me brainliest but i hope this helps you, just like it helped me
Step-by-step explanation:
please HELPPPP GONNA GIVE BRAINLIEST!!!!
Answers
Answer:
The third answer: -7/8
Step-by-step explanation:
Having the numerator negative makes the entire fraction negative. If both the numerator and the denominator are negative it means that the fraction is positive. So -7/8 is equal to - 7/8.
Hope This Helps :)
Is this correct? If not, tell me what mistakes I made. Thank you
Answers
Answer:
LOOKS GREAT!!!
Step-by-step explanation:
HOPE YOU DO WELL!!!
The greatest common factor of 60w5y3 and 78 wy2 is
6 wy2
6 w5y3
13 w5y3
2 wy2
Answers
Answer:
is that a question
Step-by-step explanation:
Find the line that is perpendicular to line n that passes through point (2, –3).
If the slope of the perpendicular line is -2/5, what is the y-intercept of the perpendicular line?
b = negative StartFraction 19 Over 5 EndFraction
b = negative StartFraction 11 Over 5 EndFraction
b = four-fifths
b = 2
Answers
Answer:
its b
Step-by-step explanation:
Answer:it’s b
Step-by-step explanation:
x2 - 6x – 16
factoring
Answers
Answer:
(x-8)(x+2)
Step-by-step explanation:
add to -6 and multiply to -16
-8,2
what us 3 1/3 Divided by 4
Answers
Answer:
0.8333333
Step-by-step explanation:
Answer: 7/8
-------------------
Alex is a truck driver for a local retail store. He drove
20,250 miles in 9 months. At this rate, how many months
will it take Alex to drive 6,750 miles?
Its a grid question.
Answers
Answer:
3 months
Step-by-step explanation:
in order to find how many months it would take for Alex to drive 6,750 miles we have to find how many miles he drives in a month so you would have to divide 20,250 by 9:
20,250/9 = 2,250 miles per month
you then divide 6,750 by 2,250 to get the number it months it would take him to drive 6,750 miles:
6,750/2,250= 3
It would take him 3 months to drive 6,750 miles
alex will take 3 months to drive 6,750 miles
