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3 years ago

Simplify 5/7r-2/7r......

1 answer:

3 0

$\frac{5}{7r}-\frac{2}{7r}$

You have two fractions with the same (common) denominator, so you subtract the numerators and put that over the common denominator.

$\frac{5}{7r}-\frac{2}{7r}=\frac{5-2}{7r}=\frac{3}{7r}$

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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

A square billboard has an area of 625 ft squared. What is the length of the side of the billboard?

goldenfox [79]

Answer:

figured it out is 25

Step-by-step explanation:

hope this helps:)

3 0

3 years ago

EasyElectrics supermarket orders light bulbs from suppliers, AA Electronics and AAA Electronics. EasyElectrics purchases 30% of

saw5 [17]

Answer: (a) 0.006

(b) 0.027

Step-by-step explanation:

Given : P(AA) = 0.3 and P(AAA) = 0.70

Let event that a bulb is defective be denoted by D and not defective be D';

Conditional probabilities given are :

P(D/AA) = 0.02 and P(D/AAA) = 0.03

Thus P(D'/AA) = 1 - 0.02 = 0.98

and P(D'/AAA) = 1 - 0.03 = 0.97

(a) P(bulb from AA and defective) = P ( AA and D)

= P(AA) x P(D/AA)

= 0.3 x 0.02 = 0.006

(b) P(Defective) = P(from AA and defective) + P( from AAA and defective)

= P(AA) x P(D/AA) + P(AAA) x P(D/AAA)

= 0.3(0.02) + 0.70(0.03)

= 0.027

3 0

3 years ago

If the standard deviation of a data set was originally 8, and if each value in the data set was multiplied by 8.5, what would be

maxonik [38]

Answer:

D. 68 (APEX).........................................................................................

6 0

3 years ago

The first answer already given, what's the second answer (in the green box)

chubhunter [2.5K]

Solution:

Since the graph passes through the given points, (7, 20) & (-2, 11) are the solutions of the given equation y = x + ?.

⇒(x, y) = (7, 20); (-2, 11)

Substituting the variables with (7, 20),

20 = 7 + ?

20 - 7 = ?

? = 13

Similarly,

11 = -2 + ?

? = 13

∴ y = 13

8 0

3 years ago