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4 years ago

Sister needs help. i’m lazy so.. anybody?

Mathematics

2 answers:

netineya [11]4 years ago

8 0

Since Raj already has $68, he only needs $132. Because he has an hourly wage of $5.50, you would divide 132/5.50 to get the number or hours he still needs to work.

Raj still needs to work for 24 hours to be able to afford the video game system he wants.

However, at a wage of $6.25 per hour, he would only need to work 22 (21.12) more hours to afford the game system.

Mashutka [201]4 years ago

5 0

He will need 24 more hours. Hopefully helpful

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Find the counterclockwise circulation and outward flux of the field Fequals7 xy Bold i plus 2 y squared Bold j around and over t

77julia77 [94]

Answer:

The counterclockwise circulation is $\frac{7}{12}$ and the outward flux is $\frac{11}{15}$

Step-by-step explanation:

We are given the field $F(x,y) = (7xy,2y^2)$ . A picture of the region and the path we are considering is attached. Recalll the following theorems.

Given a field of the form F(x,y)=(f(x,y),g(x,y) with f,g having continous partial derivates, C is a closed path counterclockwise oriented, R is the region enclosed by C and n is the normal vector pointing outwards of the path C. Then

$\oint_C F\cdot dr =\iint_R \frac{\partial f}{dy}- \frac{\partial g}{dx} dA$ (this one calculates the counterclockwise circulation)

$\oint_C F\cdot n ds =\iint_R (\frac{\partial f}{dx}+ \frac{\partial g}{dy} dA$ (This one calculates the outward flux)

Then, recall that in our case f(x,y) = 7xy, g(x,y)=2y^2[/tex]. Then

$\frac{\partial f}{dx} = 7y,\frac{\partial f}{dy} = 7x$

$\frac{\partial g}{dx}=0, \frac{\partial g}{dy} = 4y$ .

Note that we just need to describe our region R. The region R lies between the parabola y=x^2 and the line y=x. Thus, one way to describe the region is as follows $0\leq x \leq 1, x^2\leq y \leq x$ . Then, using the previous results, we get that

$\oint_C F\cdot dr =\int_{0}^{1}\int_{x^2}^{x}7x-0dydx = 7\int_{0}^1x(x-x^2)dx = 7 \left.(\frac{x^3}{3}-\frac{x^4}{4})\right|_{0}^1 = 7(\frac{1}{3}-\frac{1}{4}) = \frac{7}{12}$ (circulation)

$\oint_C F\cdot n ds=\int_{0}^{1}\int_{x^2}^{x}7y+4ydydx = \frac{11}{2}\int_{0}^1\left.y^2\right_{x^2}^{x}dx = \frac{11}{2}\int_{0}^{1}x^2-x^4 dx = \frac{11}{2}\left(\frac{x^3}{3}-\frac{x^5}{5})\right|_{0}^{1}=\frac{11}{2}(\frac{1}{3}-\frac{1}{5})=\frac{11}{15}$ (flux)

5 0

3 years ago

-5x + 5= -25 What is the solution to this equation?

Zanzabum

Step-by-step explanation:

$- 5x = - 25 - 5 \\ - 5x = - 30 \\ x = \frac{ - 30}{ - 5} \\ x = 6$

4 0

3 years ago

Read 2 more answers

My question is on the image it would mean the world to me if you could help

stiks02 [169]

Answer:

a. Slope of f(x) is greater than g(x)

b. y-intercept of f(x) is less than the y-intercept of g

Step-by-step explanation:

Function f(x)

Given the function f(x)

x f(x)

-3 -0.5

-2 0

-1 0.5

0 1

Finding the slope between any two points

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-3,\:-0.5\right),\:\left(x_2,\:y_2\right)=\left(-2,\:0\right)$

$m=\frac{0-\left(-0.5\right)}{-2-\left(-3\right)}$

$m=0.5$

Thus,

The slope of f(x) = 0.5

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the given point (0, 1), we can easily observe that at x = 0, the value of y = 1.

Thus, the y-intercept of f(x) = 1

Function g(x)

Taking two points from the given graph of g(x)

(1, 0)

(0, 2)

Finding the slope between (1, 0) and (0, 2)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(1,\:0\right),\:\left(x_2,\:y_2\right)=\left(0,\:2\right)$

$m=\frac{2-0}{0-1}$

Refine

$m=-2$

Thus,

The slope of g(x) = -2

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the given point (0, 2), we can easily observe that at x = 0, the value of y = 2.

Thus, the y-intercept of g(x) = 2

Conclusion:

FOR function f(x)

The slope of f(x) = 0.5

The y-intercept of f(x) = 1

FOR function gx)

The slope of g(x) = -2

The y-intercept of g(x) = 2

Thus:

a. Slope of f(x) is greater than g(x)

b. y-intercept of f(x) is less than the y-intercept of g

5 0

3 years ago

Robert is 5 feet tall. At noon, he stands with the sun behind him casting a shadow. The distance from the top of Roberts head to

DIA [1.3K]

His shadow should be 17.3

$18^{2} = x^{2} +5^{2} \\324= x^2 +25 \\x^2= 324-25\\x^{2} =299\\x=\sqrt{299} \\x=17.29161646579058\\x=17.3ft$

4 0

3 years ago

Ghvhhhhcycycugvuviggggggvvvggfgffgfggyg

jasenka [17]

Answer:

fortnite

Step-by-step explanation:

winwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwin

5 0

4 years ago

Read 2 more answers