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Lilit [14]
3 years ago
9

The potential energy function for a system of particles is given byU(x) = −6x3 + 2x2 + 7x,where x is the position of one particl

e in the system.
Mathematics
1 answer:
dexar [7]3 years ago
3 0

Answer: 0

Step-by-step explanation:

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For the population of all college students currently taking a statistics course, you want to estimate the proportion who are wom
inessss [21]

Answer:

No

Step-by-step explanation:

To estimate population proportion from a sample, we must ensure that the sample data is random. Though a simple random sample of college students from a particular college was used as the sample data. However, selection of the college should have been randomized as well, a stratified random sample would have been a better sampling method whereby certain colleges are selected based on region or other criteria and then a random sample of it's statistics students selected. The sample proportion Obtian from a sample of this nature will be more representative of the population proportion of all college statistic student.

5 0
3 years ago
Select all that are undefined csc(pi) cot(pi/2) cot(pi) sec(45 degrees) csc(0 degrees) sec(90 degrees)
lorasvet [3.4K]

Answer:

Csc(pi)

Cot(pi)

Csc(0)

Sec(90)

Step-by-step explanation:

3 0
3 years ago
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I need help what is 3/2 to the third power?
Drupady [299]
It’s the 9 because it’s 3 times 3
6 0
2 years ago
The longer leg of a right triangle is 4cm longer than the shorter leg. the hypotenuse is 8cm longer than the shorter leg. find t
Alexeev081 [22]
Longer leg = x + 4

Shorter leg = x

Hypotenuse = x + 8


Using Pythagorean Theorem:

a^2 + b^2 = c^2

(x + 4)^2 + x^2 = (x + 8)^2

x^2 + 8x + 16 + x^2 = x^2 + 16x + 64

2x^2 + 8x + 16 = x^2 + 16x + 64

2x^2 +8x = x^2 + 16x + 48

2x^2 - 8x = x^2 + 48

x^2 - 8x = 48

x^2 - 8x - 48 = 0

You can complete the square from here or use the quadratic formula.

Completing the square:

x^2 - 8x = 48

x^2 - 8x + (-8/2)^2 = 48 + (-8/2)^2

x^2 - 8x + 16 = 48 + 16

(x - 4)(x - 4) = 64 or (x - 4)^2 = 64

x - 4 = +√64 OR x - 4 = -√64

x - 4 = +8 OR x - 4 = -8

x = 12 OR x = -4

However, you can't use negative 4 as a length because your length needs to be a positive.

So x will be 12.


Shorter leg: 12

Longer leg: 12 + 4

Hypotenuse: 12 + 8

8 0
3 years ago
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