Explain to me in words how you would find the slope of this line and explain how you got your answer

9. Rusty can ride his bicycle 21 miles in 3 hours. Find the unit rate of the

pashok25 [27]

Rate = distance / time

Rate = 21 miles / 3 hours

Rate = 7 miles / hour

The answer is choice A. Hope this helps.

6 0

2 years ago

Find the median of the data.

kipiarov [429]

Answer:

92.5

Step-by-step explanation:

The data given:

93, 81, 94, 71, 89, 92, 94, 99

Put the data in the ascending order:

71, 81, 89, 92, 93, 94, 94, 99

Since the data size is even, the median is the average of middle two:

median = (92 + 93)/2 = 92.5

4 0

2 years ago

Question is in the Picture. A B C D

oee [108]

B because 2 and 1/3 is 7/3 as an improper fraction times 4 is 28/3 and as a mixed number it is 9 and 1/3

7 0

2 years ago

Read 2 more answers

¿Cuál es el área de la figura de abajo? 10 cm por 4cm

AVprozaik [17]

Answer:

40 cm

Step-by-step explanation:

10x4= 40

4 0

2 years ago

Read 2 more answers

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

2 years ago