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sasho [114]
4 years ago
9

A block is set in motion hanging from a spring and oscillates about its resting position

Mathematics
2 answers:
coldgirl [10]4 years ago
8 0

Answer:

t = 1.277 sec and t = 2.848 sec

Step-by-step explanation:

This problem is much more easily done by graphing it than by computing it using algebra.

The values of t we're looking for are the ones that make x = 0, so we want the solutions of 0.6sin(2t)+0.4cos(2t)=0 on the interval [0, 3].

According to the graph, this is true when t = 1.277 seconds and t = 2.848 seconds.

Paha777 [63]4 years ago
6 0

Answer:

t = 1.28, 2.85

Step-by-step explanation:

x = 0.6sin(2t)+0.4cos(2t)

x = 0, so

0.6sin(2t)+0.4cos(2t) = 0

0.6sin(2t) = -0.4cos(2t)

Convert into tan(2t) by dividing both sides by 0.6cos(2t):

tan(2t) = -0.4/0.6

tan(2t) =-2/3

Since t lies in [0,3] ,

2t lies in [0,6]

tan(2t) =-2/3

Basic angle:

0.5880026035

Tan is negative is second and fourth quadrants

2t = 2.553590005, 5.695182704

t = 1.276795025, 2.847591352

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netineya [11]

Answer:

5 cartons  of eggs

3 packages  of steaks

Total cost=$55

Step-by-step explanation:

Hi, to answer this question we have to find the least common multiple of  

6 (number of eggs in a carton) and 10 (number of ham steaks in each package)

LCM = 30

6 12 18 24 30

10 20 30 40 50

Since each carton of eggs (x) has 6 eggs, that expression must be equal to 30(eggs) to find the number of cartons.

6 (x ) = 30

Solving for x

x = 30/6

x = 5 cartons

Same process for the steak, where y= number of packages .  

10 y = 30

y = 30/10

y=3 packages

Since each carton costs $2 and each package of steaks cost $15:

Total Cost =x 2+y 15  

Replacing with the values of x and y calculated

Total cost = (5)2 + (3)15 = 10+45 =$55

Feel free to ask for more if needed or if you did not understand something.

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3 years ago
a honda element with a dealer invoice price is $19,700 was retail price at $23,000. How much is the approximate percent markup b
andrew11 [14]
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4 years ago
Write an equation of the perpendicular bisector of the segment with endpoints M(10,-7) and N(-4,1).​
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I Hope this helps you!!!
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Step-by-step explanation:

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