What times what equals 17.8

Hi I just need help finding x in this math equation:

cricket20 [7]

X/2 +x/4 =12
(1/2+1/4)x= 12
3/4x =12
by multiple both sides by 4/3
so x = 16

5 0

3 years ago

Neil has been running a tutoring business since 2005. He charges a monthly fee for weekly tutoring sessions and a phone help lin

emmainna [20.7K]

Answer:

Part A. Rate of change $ 50

The initial value of Neil's business is $ 1,200

Part B. x = 1200 + 50y

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Year Annual Tutoring Fee

2005 $ 1,200

2008 $ 1,350

2. What is the rate of change and initial value for Neil’s business? How do you know?

Rate of change = (Annual Tutoring Fee in 2008 - Annual Tutoring Fee in 2005)/(2008 - 2005)

Replacing with the values we have:

Rate of change = (1,350 - 1,200)/3

Rate of change = 150/3 = $ 50

The initial value of Neil's business is $ 1,200

3. Write an equation in slope-intercept form to represent the fees that Neil charges each year.

Let x to represent the the fees that Neil charges annually and y to represent the number of years after 2005, we have:

x = 1200 + 50y

3 0

3 years ago

Compute the flux of curl(F) through the part of the paraboloid z = x 2 + y 2 that lies below the plane z = 4 with upward-pointin

kkurt [141]

Parameterize this surface (call it S) by

$\mathbf s(u,v)=u\cos v\,\mathbf i+u\sin v\,\mathbf j+u^2\,\mathbf k$

with $0\le u\le2$ and $0\le v\le2\pi$ .

The normal vector to S is

$\mathbf n=\dfrac{\partial\mathbf s}{\partial u}\times\dfrac{\partial\mathbf s}{\partial v}=-2u^2\cos v\,\mathbf i-2u^2\sin v\,\mathbf j+u\,\mathbf k$

Compute the curl of F :

$\nabla\times\mathbf F=-2\,\mathbf i+3\,\mathbf j+5\,\mathbf k$

So the flux of curl(F) is

$\displaystyle\iint_S(\nabla\times\mathbf F)\cdot\mathrm d\mathbf S=\int_0^{2\pi}\int_0^2(\nabla\times\mathbf F)\cdot\mathbf n\,\mathrm du\,\mathrm dv$

$=\displaystyle\int_0^{2\pi}\int_0^2(5u+4u^2\cos v-6u^2\sin v)\,\mathrm du\,\mathrm dv=\boxed{20\pi}$

Alternatively, you can apply Stokes' theorem, which reduces the surface integral of the curl of F to the line integral of F along the intersection of the paraboloid with the plane z = 4. Parameterize this curve (call it C) by

$\mathbf r(t)=2\cos t\,\mathbf i+2\sin t\,\mathbf j+3\,\mathbf k$

with $0\le t\le2\pi$ . Then

$\displaystyle\iint_S(\nabla\times\mathbf F)\cdot\mathrm d\mathbf S=\int_0^{2\pi}\mathbf F\cdot\mathrm d\mathbf r$

$=\displaystyle\int_0^{2\pi}(20\cos^2t-24\sin t)\,\mathrm dt=\boxed{20\pi}$

8 0

4 years ago

For the following true conditional statement, write the converse. If the converse is also true, combine the statements as a bico

svetlana [45]

Well i think is better expressed if x^2=9.then x=3, that will be better expressed. Now the converse if clearly false, since if x^2=9 it is possible that x=−3. I hope this is useful for you

8 0

4 years ago

What the common multiple of 10

Viktor [21]

Answer:

20 30 40 40 50 60 70 80 90 100

5 0

3 years ago