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seropon [69]
3 years ago
5

A mass of 1 slug is attached to a spring whose constant is 5 lb/ft. Initially, the mass is released 1 foot below the equilibrium

position with a downward velocity of 3 ft/s, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 2 times the instantaneous velocity.
(a) Find the equation of motion if the mass is driven by an external force equal to f(t) = 8 cos 2t + 2 sin 2t.
Mathematics
1 answer:
N76 [4]3 years ago
4 0

Answer:a

Step-by-step explanation:

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The legs of a right triangle are 5 and 7 cm long, respectively. What is the length of the hypotenuse? If necessary, round your a
valentinak56 [21]
A squared plus B squared equals C squared, so what you need to do it square 5 and 7. 5 = 25 7 = 48 Then add then and square root your answer. 48 + 25 = 73. 73 square rooted equals an rounded amount of 8.6. SO the answer is D
4 0
3 years ago
Anybody know how to do this? I need Help Now!!!!!
gogolik [260]
Hi there!

The answer is
x \leqslant - 5

We have the following inequality.
- 6x \geqslant 30

We can divide both sides by -6, but because we divide by a negative number, we must flip the sign.

x \leqslant 30 \div - 6
x \leqslant - 5
6 0
3 years ago
One day, a café sells 3 more than twice the number of cappuccinos as they do lattes. They sold a total of 33 cappuccinos and lat
Assoli18 [71]

Answer:

x +(2x + 3) = 33

Step-by-step explanation:

two equations can be derived from the question

c = 3 + 2x equation 1

c + x = 33 equation 2

where :

c =  cappuccinos

x =  lattes

make c the subject of the formula in equation 2

c = 33 - x equation 3

equate 3 and 1

x +(2x + 3) = 33

3 0
3 years ago
Of the 800 particapants in a marthon, 120 are running to raise money for a cause. How many particpants out of 100 are running fo
stiv31 [10]

Answer:

15

Step-by-step explanation:

800/8 = 100

sooo.......

120/8 = 15

15/100

hope this helps ! :)

3 0
3 years ago
Can someone help me? It's urgent and thank you!
-BARSIC- [3]

Given:

Number of red marbles = 5

Number of blue marbles = 4

Number of yellow marbles = 3

To find:

The probability of pulling a red marble, then pulling a blue marble, without replacement.

Solution:

Probability formula:

\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}

We have,

Number of red marbles = 5

Total number of marbles is:

5+4+3=12

Probability of getting a red marble is:

P(Red)=\dfrac{5}{12}

After selecting one red marble, the remaining number of marbles is 11 and the number of blue marbles is 3. So,

P(Blue)=\dfrac{4}{11}

Now, the probability of pulling a red marble, then pulling a blue marble, without replacement is:

\text{Probability percentage}=P(Red)\times P(Blue)\times 100

\text{Probability}=\dfrac{5}{12}\times \dfrac{4}{11}\times 100

\text{Probability}=15.1515...

\text{Probability}\approx 15.2\%

Therefore, the correct option is B.

5 0
3 years ago
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