Consider harmonic oscillators with mass m, spring constant k, and damping coefficient b. For the values specified,

a. write the second-order differential equation and the corresponding first-order system.
b. find the eigenvalues and eigenvectors of the linear system.
c. classify the oscillator (as underdamped, overdamped, critically damped, or undamped) and, when appropriate, give the natural period.
d. sketch the phase portrait of the associated linear system and include the solution curve for the given initial condition.

Answer:

a. Alice’s claim is correct.

Step-by-step explanation:

Margin of error of a confidence interval:

The margin of error of a confidence interval is inversely proportional to the sample size. This means that a smaller sample size leads to a smaller margin of error and a narrower interval, while a larger sample size leads to a larger margin of error and a wider interval.

Alice claims that a sample size of 25 will produce a narrower interval

25 > 20, so smaller margin of error and narrower interval, which means that Alice is correct.

Desmond claims that a sample size of 15 will produce a narrower interval.

15 < 20, so larger margin of error and wider interval, which means that Desmond is wrong.

So the correct answer is given by option a.

Answer:

Oh ok add me abelthegoat8

Step-by-step explanation:

Answer:

I don't have sc, but thx for the points! :)

Step-by-step explanation:

have a good day!

Answer:

$43.20 total

$3.20 sales tax

Explication:

40*1.08=43.2

Answer:

sales tax = $3.20

total cost = $43.20

Step-by-step explanation:

To calculate the sales tax on an item, multiply the price of the item by the tax percent in decimal form. To convert a percent to decimal form, divide the percent by (100).

Sales tax percent: 8%

In decimal form: 0.08

Multiply the sales tax in decimal form by the price of the item to find out the sales tax amount,

(item_price) * (sales_tax)

= (40) * (0.08)

= 3.2

Sales tax amount: $3.20

To find the total cost of the product, add the sales tax amount to the item price,

(item_price) + (sales_tax_amount)

= 40 + 3.20

= 43.20

Answer:

What does this even say maybe I can try and help.

Answer:

1/3 is .333... so you can write .33.... or .33 with a line on top of the 3's

Step-by-step explanation:

.3 is in the tenths and .33 is in the hundredths place

Answer:

Yes

Step-by-step explanation:

If you multiply it out, the expressions have the same value of 6p, so whatever you plug in for p, it will always be the same

Answer:

19.1 miles

Step-by-step explanation:

The situation given represents a right triangle.

Thus, we would use trigonometric function to find how far north the boat travelled.

Let's represent how far the boat travelled north with "x".

Thus:

Reference angle = 23°

Opposite = x

Adjacent = 45 miles

Apply TOA:

Tan 23° = Opp/Adj

Tan 23° = x/45

Multiply both sides by 45

45 × Tan 23° = x

x = 45 × Tan 23°

x = 19.1013667

x = 19.1 miles (nearest tenth of a mile)

Answer:

17) [tex]6a^{3}b^{2}[/tex]

18) [tex]40m^{4} n^{10}[/tex]

19) 14x³y²

20) [tex]9x^{2} y^{6}[/tex]π

Step-by-step explanation:

17)

Area of triangle = 1/2*b*h

A = 1/2(4a²b)(3ab)

A = 6(a³b²)

18)

A = 1/2(4mn⁵)(20m³n⁵)

A = (40)(m⁴n¹⁰)

19)

A = 2 (1/2)(2xy)(3x²y)

A = (6x³y²) + (4x²y*2xy)

A = 6x³y² + 8x³y²

A = 14x³y²

20)

A = (3xy³)²

A = 3² x² (y³)²

Answer:

When it is the first operation in an expression, from left to right.

Answer:

the First One By Adding Four

The Second One Add Five And Two

The Third Add Two And Substract Four

Answer:

12 if the donuts are sold in boxes and not singular,  15 if you can buy a smaller sized box

Step-by-step explanation:

Hope this helps! have a great day!

Answer: D, 100

Step-by-step explanation:

Answer: 100 (D)

Step-by-step explanation:

cuz

Answer: 37.5%

Step-by-step explanation:

To find 3/8, divide 100 by 8 (12.5), then multiply that by 3 to figure out 3/8.

Answer:

Angle B= 31°

angle ECD=118°

Step-by-step explanation:

It Is Because Of The Two Sides Are Equal So that the opposite angle of each equal sides also equal.

angle A=angle B

31°=31°

So Angle B=31°

angle ACB+angle B+angle A=180°

angle ACB+31°+31°=180°

angle ACB+62°=180°

angle ACB=180°+62°

angle ACB=118°=angle ECD

Because It Is Him Opposite Angle

Answer:

x = 4

Step-by-step explanation:

Answer:

trianglw

Step-by-step explanation:

Answer:

Two circles and a rectangle will make up a cylander.

Step-by-step explanation:

Have a good day! :)

Answer:

B.

Step-by-step explanation:

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Answer:

B

Step-by-step explanation:

the mean of A

= (84 + 84 + 85 + 86) ÷ 4

= 339 ÷ 4

= 84.75

the median of A

= (84 + 85) ÷2

= 169 ÷ 2

= 84.5

84.75 > 84.5

the mean of B

= (74 + 79 + 82 + 87) ÷ 4

= 332 ÷ 4

= 80.5

the median of B

= (79 + 82) ÷2

= 161 ÷ 2

= 80.5

80.5 = 80.5

the mean = the median

the mean of C

= (63 + 66 + 67 + 68) ÷ 4

= 264 ÷ 4

= 66

the median of C

= (66 + 67) ÷2

= 133 ÷ 2

= 66.5

66 < 66.5

the mean of D

= (14 + 16 + 18 + 19) ÷ 4

= 67 ÷ 4

= 16.75

the median of D

= (16 + 18) ÷2

= 34 ÷ 2

= 17

16.75 > 17

Answer:

6750 meters

Step-by-step explanation:

1 kilometer = 1000 meters

1000*6.75=6750

Answer:

6750 meters

Step-by-step explanation:

Kilometers are equal to 1000 meters, so we can just multiply 6.75 x 1000 to get 6750 meters

The early redemption fee on this account is $2.25.

The annual percentage rate (APR) is the interest generated by a sum charged to borrowers or paid to investors each year. APR is a number that shows the actual yearly cost of funds throughout the life of a loan or the revenue received on an investment. This includes any fees or additional costs linked with the transaction but excludes compounding. The APR provides consumers with a single number that they may use to compare lenders, credit cards, and investment products.

We buy a CD for $300 that earns 3% APR and is compounded quarterly.

So, The early withdrawal fee is equivalent to 3 months' interest.  

= (APR / 12) X 3

= APR / 4

= 3% / 4

= 0.03/ 4

= 0.75

and, the Early withdrawal fee = 0.75 x $300

Thus, the redemption fee  is

= 0.0075 x $300

= $2.25

learn more about interest here:

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Answer:

Step-by-step explanation:

Answer:

310 mm 0.6 km = 6,000 m 457 mm = 4.57 cmStep-by-step explanation:

The statements 46 m = 4,600 cm, 0.31 m = 310 mm, 7.5 m = 0.0075 km and 0.31 m = 310 mm are correct conversations

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

We know that conversations  1km = 1000 m

1 cm = 10 mm

1 m = 100 cm

0.6 km = 6,000 m is not correct, as 0.6 km is 600m

46 m = 4,600 cm is correct.

0.31 m = 310 mm is correct

457 mm = 4.57 cm is incorrect, as 457 mm  is 45.7 cm

7.5 m = 0.0075 km is correct

0.31 m = 310 mm is correct

Hence, the statements 46 m = 4,600 cm, 0.31 m = 310 mm, 7.5 m = 0.0075 km and 0.31 m = 310 mm are correct conversations

To learn more on Unit of Measurement click:

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Answer:

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Given:

A figure of a right angle.

To find:

The value of x.

Solution:

We know that the measure of the altitude on the hypotenuse of a right right triangle is the geometric mean of the segments of the hypotenuse.

If the altitude "h", divides the hypotenuse in two segments "a" and "b", then

[tex]h=\sqrt{ab}[/tex]

In the given figure, the measure of the altitude is x and it divides the hypotenuse in two segments 3 units and 24 units.

Using the above theorem, we get

[tex]x=\sqrt{3\times 24}[/tex]

[tex]x=\sqrt{72}[/tex]

[tex]x=6\sqrt{2}[/tex]

Therefore, the required solutions for the given blanks are:

Blank 1: 72

Blank 2: 6

Blank 3: 2

Answer:

2x-7, 2x-7=14, 2+7

Step-by-step explanation:

I am 99% sure these are correct

Answer:

90 degrees

Step-by-step explanation:

Answer:

It’s 100% 25..

Step-by-step explanation:

Answer:

tan (90° - A) = cot A

Step-by-step explanation:

tan (90° - A) = sin (90° - A) / cos (90° - A) = cos A / sin A = cot A