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2 years ago

If 5 friends buy a package of 38 balloons, how should they divide them?

Mathematics

2 answers:

Nastasia [14]2 years ago

7 0

All you have to do is divide 38 divided by 5 which = 7 r 3

I hope this helps.

Have a awesome day. :)

Hoochie [10]2 years ago

3 0

All you have to do is divide 38 divided by 5 which = 7 r 3

I hope this helps.

Have a awesome day. :)

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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=0

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

3 0

3 years ago

First picture is just information second picture please answer I will mark brainliest

Alecsey [184]

Answer:

2329

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

How many solutions are there to the equation below?

xxMikexx [17]

Hi there! :)

Answer:

B. 0 solutions.

Step-by-step explanation:

Given the equation 7(x + 2) = 7x - 10

Simplify:

7(x + 2) = 7x - 10

Distribute the 7 with the terms inside of the parenthesis:

7x + 14 = 7x - 10

Subtract "7x" and 14 from both sides:

7x - 7x = -10 - 14

0 ≠ - 24. The equation has no solutions.

5 0

3 years ago

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Marsha was asked to find the value of 8-3 times 2. She wrote a wrong answer. What is the correct answer?

Fed [463]

The answer is 2 because you need to use pemdas to find the answer and 3 times 2 equals 6 and then 8-6 equals 2

7 0

3 years ago

James just began a job as a nurse. He is given a starting salary of $66,640 per year. He is also told that his salary will incre

Leto [7]

Answer:

the rate of change of James’ salary is $845 dollars per year

y = 845x + 66640

the value of James’ salary in 23 years=$86,075

Step-by-step explanation:

Let x = the years worked and y = Salary in dollars

When x=0 then y = 66640

when x= 8 then y = 73400

Two points are (0,66640) and (8,73400)

Rate of change of salary is the slope

To find slope we use formula

$slope = \frac{y_2-y_1}{x_2-x_1} =\frac{73400-66640}{8-0} =845$

the rate of change of James’ salary is $845 dollars per year

Slope intercept form of equation is y=mx+b

m = 845 , b is the y intercept (initial salary)

so y = 845x + 66640

Now we find out salary in 23 years

plug in 23 for x in the y equation

y = 845x + 66640

y = 845(23) + 66640=86075

the value of James’ salary in 23 years=$86,075

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3 years ago