Suppose a spring with spring constant 7 N/m is horizontal and has one end attached to a wall and the other end attached to a 3kg mass. Suppose that the friction of the mass with the floor (i.e., the damping constant) is 3 N.s/m, and the forcing function is F(t) = 9sin (3t).

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Answer 1

Answer: 3x''+3x'+7x = 9sin 3t - to begin
then Use the method of undetermined coefficients $xp=Asin(3t)+Bcos(3t).$
Then you need to find x′p and x′′p and sub them into equation, that will help you to solve A and B.
$xp=Asin(3t)+Bcos(3t) x'p=3Acos(3t)−3Bsin(3t) x''p=−9Asin(3t)−9Bcos(3t)$
And finally you will have this :
3x′′+3x′+7x=9sin(3t)[−27Asin(3t)−27Bcos(3t)]+[9Acos(3t)−9Bsin(3t)]+[7Asin(3t)+7Bcos(3t)]=9sin(3t)(−20A+9B)sin(3t)+(−20B+9A)cos(3t)=9sin(3t)

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Jada has a meal in a restaurant. She adds up the prices listed on the menu for everything they ordered and gets a subtotal of $42.00.c) They actually pay $52.99. The additional $7 is a tip for the server. What percentage of the subtotal is the tip?

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Answer: See explanation

Step-by-step explanation:

Your question wasn't well written but I saw an identical question so let me help out.

a. Jada has a meal in a restaurant she adds up the prices listed on the menu for everything they ordered and gets a subtotal of $42.00. When the check comes, it says they also need to pay $3.99 in sales tax. what percentage of the subtotal is the sales tax?

b. They actually pay $52.99. The additional $7 is a tip for the server. What percentage of the subtotal is the tip?

a. Subtotal = $42.00

Tax = $3.99

Percentage of subtotal that is sales tax will be:

= Sales tax/Subtotal × 100

= 3.99/42.00 × 100

= 9.5%

b. Tip = $7

Sub total = $42

The percentage of the subtotal that is the tip will be:

= Tip/Sub total × 100

= 7/42 × 100

= 16.67%

Round off 0.825 to nearest units,tenths,hundreds

Answers

nearest tenths would be = .8
nearest hundreds would be = .82

Using the simple random sample of weights of women from a data set, we obtain these sample statistics: nequals45 and x overbarequals149.27 lb. research from other sources suggests that the population of weights of women has a standard deviation given by sigmaequals30.72 lb.a. find the best point estimate of the mean weight of all women.
b. find a 99% confidence interval estimate of the mean weight of all women

Answers

Answer is a. Find the best point estimate of the mean weight of all women

El cuadrado de la suma (x + 4)2 esa) X2 + 8x + 8
b) X2 + 4x + 16
c) X2 + 8x + 16
d) X2 + 4x + 8

Answers

Answer:

Step-by-step explanation:

sana makatulong sayo

Ax+by=c, how would I solve for y

Answers

Solving for y means trying to get the equation into the form y= _____. So, let's say that we are going to keep the y value on the left side of the equation.

First, we would subtract ax from both sides. This results in the equation by=c-ax.

Next, we figure out that y has a coefficient of b. They are combined together by multiplication, so to undo this operation, we need to divide both sides by b.

If done correctly, your final answer should be $(c-ax)/(b)$ . Or, y=c-ax/b

a catering service offers 4 appetizers, 6 main course, and 12 desserts. a banquet chairperson is to select 3 appetizers, 2 main course and 5 desserts or a banquet. in how many ways can this be done

Answers

If you have 4 appetizers and you need to choose just 3 of them, it would be the same amount of options as just choosing 1 out of the 4; so there are 4 ways to choose the appetizer. For the main course, you are choosing 2 out of 6. So there are 6 ways to choose the first main course, and assuming there is no repeats, there would be 5 ways to choose the next one. However, there will be some overlap, so you need to divide it by 2. So you have $(6*5)/(2) =15$ options for main course. Finally for dessert, you have 12 desserts to choose from and 5 desserts to choose. So you do a similar thing to the main courses. $(12*11*10*9*8)/(5*4*3*2*1)$ would be the equation you would use. Because there are 12 ways to pick the first dessert, 11 ways for the 2nd and so on until you reach 5 desserts. You divide it by 5*4*3*2*1 or 5! (Factorial) because there are overlaps for each of the 5 so you have to account for those. After solving the equation, there are 792 ways to pick desserts So you now know that you have 4 ways of picking the appetizer, 15 ways for the main course and 972 ways to pick desserts. So for options of the full meal, you need to multiply all these values together: $4*15*792=47520$ . Therefore, there are 47,520 possible ways this could be done.

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