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3 years ago

"when reading a cd-rom disk 2.8 cm from its center the rotational speed is 726 rpm what is the rpm at 5.2cm

Mathematics

1 answer:

wolverine [178]3 years ago

5 0

9514 1404 393

Answer:

726 rpm

Step-by-step explanation:

The angular speed is not dependent upon the radius. The rotational speed is 726 rpm at any radius.

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A single die is rolled one time. Find the probability of rolling a number greater than 4 or less than 3

Tomtit [17]

You have a 2/6 chance of rolling a number greater than 4 or less than 3 which reduces to 1/3
2/6 = 1/3

8 0

3 years ago

Write the given second order equation as its equivalent system of first order equations. u′′−5u′−4u=1.5sin(3t),u(1)=1,u′(1)=2.5

lakkis [162]

Answer:

hi your question options is not available but attached to the answer is a complete question with the question options that you seek answer to

Answer: v = 5v + 4u + 1.5sin(3t),

1.5sin(3t)

Step-by-step explanation:

u" - 5u' - 4u = 1.5sin(3t) where u'(1) = 2.5 u(1) = 1

v represents the "velocity function" i.e v = u'(t)

As v = u'(t)

u' = v

since u' = v

v' = u"

v' = 5u' + 4u + 1.5sin(3t) ( given that u" - 5u' - 4u = 1.5sin(3t) )

= 5v + 4u + 1.5sin(3t) ( noting that v = u' )

so v' = 5v + 4u + 1.5sin(3t)

d/dt $\left[\begin{array}{ccc}u&\\v&\\\end{array}\right]$ = $\left[\begin{array}{ccc}0&1&\\4&5&\\\end{array}\right]$ $\left[\begin{array}{ccc}u&\\v&\\\end{array}\right]$ + $\left[\begin{array}{ccc}0&\\1.5sin(3t)&\\\end{array}\right]$

Given that u(1) = 1 and u'(1) = 2.5

since v = u'

v(1) = 2.5

note: the initial value for the vector valued function is given as

$\left[\begin{array}{ccc}u(1)&\\v(1)\\\end{array}\right]$ = $\left[\begin{array}{ccc}1\\2.5\\\end{array}\right]$

7 0

3 years ago

A circle has the equation (x-2)^2 +y^2 =5. What are the coordinates of the circle's center?

Elina [12.6K]

The circle with center (h, k) and radius r has equation
.. (x -h)^2 +(y -k)^2 = r^2

You have
.. h = 2
.. k = 0
.. r = √5

The center is (h, k) = (2, 0).

3 0

3 years ago

Question 4(Multiple Choice Worth 1 points)

lianna [129]

Answer:

Ox=4 is the answer for the question

7 0

2 years ago

Jack and Jill were buying water jugs jack bought 2 medium sized jugs and 3 large sized jugs for 150 dollars and Jill bought 4 me

Mademuasel [1]

Answer: the cost of one medium sized jug is $60

the cost of one large sized jug is $10

Step-by-step explanation:

Let x represent the cost of one medium sized jug.

Let y represent the cost of one large sized jug.

Jack bought 2 medium sized jugs and 3 large sized jugs for 150 dollars. This means that

2x + 3y = 150 - - - - - - - - - - - 1

Jill bought 4 medium jugs and 12 large jugs for 360 dollars. This means that

4x + 12y = 360 - - - - - - - - - - - 2

Multiplying equation 1 by 4 and equation 2 by 2, it becomes

8x + 12y = 600

8x + 24y = 720

Subtracting, it becomes

- 12y = - 120

y = - 120/ - 12

y = 10

Substituting y = 10 into equation 1, it becomes

2x + 3 × 10 = 150

2x + 30 = 150

2x = 150 - 30 = 120

x = 120/2 = 60

3 0

3 years ago