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natima [27]
3 years ago
5

Elena rolls two cubes

Mathematics
1 answer:
viktelen [127]3 years ago
8 0

Answer:

I thought it was 1/9

Step-by-step explanation:

favorable out comes are 4

and total out comes are 36

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Evaluate<br> + pq when p = 8 and q = 6.
Veronika [31]

Answer:

48

Step-by-step explanation:

pq

substitute values

(8)(6)

8*6 = 48

6 0
3 years ago
Rewrite the subtraction as addition 3- (-10)
Bumek [7]
<span>Rewrite the subtraction as addition 3- (-10)

= 3 + 10</span>
4 0
3 years ago
Write the first 4 terms in the sequence defined by the explicit rule f(n)=n^2 - 5 *n^2 means n squared
Deffense [45]
The question did not spesify the stating value for n.

Assuming, n = 0 is the starting value.

1st term is when n = 0:
f(0) = (0)^2 - 5 = 0 - 5 = -5

2nd term: f(1) = (1)^2 - 5 = 1 - 5 = -4

3rd term: f(2) = (2)^2 - 5 = 4 - 5 = -1

4th term: f(3) = (3)^2 - 5 = 9 - 5 = 4

Therefore, the first 4 terms are: -5, -4, -1, 4.
6 0
4 years ago
Use the surface integral in​ Stokes' Theorem to calculate the circulation of the field Bold Upper F equals x squared Bold i plus
Alinara [238K]

Answer:

The circulation of the field f(x) over curve C is Zero

Step-by-step explanation:

The function f(x)=(x^{2},4x,z^{2}) and curve C is ellipse of equation

16x^{2} + 4y^{2} = 3

Theory: Stokes Theorem is given by:

I= \int \int\limits {{Curl f\cdot \hat{N }} \, dx

Where, Curl f(x) = \left[\begin{array}{ccc}\hat{i}&\hat{j}&\hat{k}\\\frac{∂}{∂x} &\frac{∂}{∂y} &\frac{∂}{∂z} \\F1&F2&F3\end{array}\right]

Also, f(x) = (F1,F2,F3)

\hat{N} = grad(g(x))

Using Stokes Theorem,

Surface is given by g(x) = 16x^{2} + 4y^{2} - 3

Therefore, tex]\hat{N} = grad(g(x))[/tex]

\hat{N} = grad(16x^{2} + 4y^{2} - 3)

\hat{N} = (32x,8y,0)

Now,  f(x)=(x^{2},4x,z^{2})

Curl f(x) = \left[\begin{array}{ccc}\hat{i}&\hat{j}&\hat{k}\\\frac{∂}{∂x} &\frac{∂}{∂y} &\frac{∂}{∂z} \\F1&F2&F3\end{array}\right]

Curl f(x) = \left[\begin{array}{ccc}\hat{i}&\hat{j}&\hat{k}\\\frac{∂}{∂x} &\frac{∂}{∂y} &\frac{∂}{∂z} \\x^{2}&4x&z^{2}\end{array}\right]

Curl f(x) = (0,0,4)

Putting all values in Stokes Theorem,

I= \int \int\limits {Curl f\cdot \hat{N} } \, dx

I= \int \int\limits {(0,0,4)\cdot(32x,8y,0)} \, dx

I= \int \int\limits {(0,0,4)\cdot(32x,8y,0)} \, dx

I=0

Thus, The circulation of the field f(x) over curve C is Zero

3 0
3 years ago
What is the answer to 72% of 14?
SSSSS [86.1K]
14/100 = 0.14
0.14x72 = 10.08
7 0
3 years ago
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