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3 years ago

What is the domain of the function y=2x-6? -00 O 0 o 3 O 6 help

Mathematics

2 answers:

V125BC [204]3 years ago

8 0

Answer:

6≤x<∞

Step-by-step explanation:

y=2√x-6

kolezko [41]3 years ago

7 0

Answer:

6 ≤ x < ∞

Step-by-step explanation:

The value of x cannot be less than 6 because that would make the term in the square root part negative. There is no real square root of a negative vale.

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20 This spinner will be spun twice. What is the probability of

natali 33 [55]

Answer: the probability is 0.25

Step-by-step explanation:

We have 10 numbers:

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

Of those, the odd ones are:

1, 3, 5, 7, 9

So we have 5 odd numbers.

The probability that the outcome is an odd number is equal to the number of odd numbers divided the total number of numbers:

p = 5/10 = 0.5

For the second spin the probability is the same, p = 5/10, because the first outcome does not affect the results of the second spin.

The probability of spining an odd number both times, then is the joint probability for two times this same event:

P = (5/10)(5/10) = 0.5*0.5 = 0.25

or 25% in percent form

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3 years ago

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Andru [333]

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Nat2105 [25]

Answer:

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2 years ago

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Given that curl F = 2yi – 2zj + 3k, find the surface integral of the normal component of curl F (not F) over (a) the open hemisp

Dimas [21]

Use Stokes' theorem for both parts, which equates the surface integral of the curl to the line integral along the surface's boundary.

a. The boundary of the hemisphere is the circle $x^2+y^2=9$ in the plane $z=0$ , where the curl is $\mathrm{curl}\vec F=2y\,\vec\imath+3\,\vec k$ . Green's theorem applies here, so that

$\displaystyle\iint_S\mathrm{curl}\vec F\cdot\mathrm d\vec S=\int_{\partial S}\vec F\cdot\mathrm d\vec r=3\int_{x^2+y^2=9}\mathrm d\vec r$

which means the value of the line integral is 3 times the area of the circle, or $27\pi$ .

b. The closed sphere has no boundary, so by Stokes' theorem the integral is 0.

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3 years ago