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Nostrana [21]
3 years ago
5

The formula E =1/2 kx^2gives the potential energy E of a spring with spring constant k that has

Mathematics
2 answers:
Dima020 [189]3 years ago
6 0

Answer:

\sf\longmapsto \: k =  \frac{2E}{x {}^{2} }

Step-by-step explanation:

The formula given is :

\sf\longmapsto \: E =  \frac{1}{2} kx²

Now, multiply (×) both sides by 2 and divide (÷) by x^2

\sf\longmapsto \: 2E = kx²

\sf\longmapsto \: k =  \frac{2E}{x {}^{2} }

zaharov [31]3 years ago
4 0

Answer:

  • k = 2E/x^2

Step-by-step explanation:

<u>Given formula:</u>

  • E = 1/2kx^2

<u>To solve for k, multiply both sides by 2 and divide by x²:</u>

  • 2E=kx^2
  • k = 2E/x^2
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A long distance telephone company offer two plans . The deluxe plan cost $30 a month and offers unlimited long distance calling.
Gnesinka [82]

Answer:

399 minutes a month

Step-by-step explanation:

As I understand the question the answer would, in other words, be how many minutes you can long-distance call with the economy plan for under $30.

The unit ratio is 5 cents per minute, which equates to 20 minutes worth of call time for one dollar (100/5).

The economy plan is $20 cheaper than the deluxe plan. $20 spent on long-distance calling gets you 400 mintues, but the question asks for an integer that would still leave remaining money.

Therefore the answer is 399 minutes of long-distance calling, which would leave five unspent cents.

8 0
3 years ago
Sam saves up to buy a baseball glove that costs $60.00. He must pay 7% sales tax.
Tju [1.3M]

Answer:

Step-by-step explanation:

6x+14=50

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7 0
3 years ago
A triangular plate with base 2 m and height 3 m is submerged vertically in water so that the tip is even with the surface. Expre
g100num [7]

Answer:

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Step-by-step explanation:

To solve this question, let's consider integrating the hydrostatic force from the top of the triangle to the bottom.

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δF=ρgxwδx

Where w is width of triangle; ρ is density of water and g is acceleration due to gravity

At depth x, the width of the triangle is w=2/3x.

Thus, F = (3,0)∫)ρgxwδx

=(2/3)ρg[(3,0)∫)x²δx]

= integrating, we have;

F = (2/3)ρg[(3³/3) - (0³/3)]

F = (2/5)ρg [27/3] = (2/5)(1000)(9.8)(9) = 35280 N = 35.28 KN

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4 years ago
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Step-by-step explanation:

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4 years ago
Help me please I need this in by tomorrow
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Answer:

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