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barxatty [35]
4 years ago
10

A surf instructor has an initial fee of $12 and charges $8 per hour for lessons. Explain how to determine what the y-intercept i

s and where it would be located on the graph.
Mathematics
2 answers:
Colt1911 [192]4 years ago
7 0

Answer:

The y-intercept in slope-intercept form is b, which is represented by 12. The y-intercept is the initial value, and is found on the graph as the point (0, 12) where the line crosses the y-axis.

-Dominant- [34]4 years ago
3 0
At time t = 1 hr... fee is initial ($12)+ ($8) = 20 
<span>and so on... the intercept would be initial fee... which is $12 charged at t=0 hr
</span>
8$ per hour is the essentially the slope 
<span>12 is the initial charge also known as the y-intercept </span>

<span>y = 8x + 12 </span>

where y is the total charge and x is the number of hours 
hope it helps
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Evaluate c (y + 7 sin(x)) dx + (z2 + 9 cos(y)) dy + x3 dz where c is the curve r(t) = sin(t), cos(t), sin(2t) , 0 ≤ t ≤ 2π. (hin
saw5 [17]
Treat \mathcal C as the boundary of the region \mathcal S, where \mathcal S is the part of the surface z=2xy bounded by \mathcal C. We write

\displaystyle\int_{\mathcal C}(y+7\sin x)\,\mathrm dx+(z^2+9\cos y)\,\mathrm dy+x^3\,\mathrm dz=\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r

with \mathbf f=(y+7\sin x,z^2+9\cos y,x^3).

By Stoke's theorem, the line integral is equivalent to the surface integral over \mathcal S of the curl of \mathbf f. We have


\nabla\times\mathbf f=(-2z,-3x^2,-1)

so the line integral is equivalent to

\displaystyle\iint_{\mathcal S}\nabla\times\mathbf f\cdot\mathrm d\mathbf S
=\displaystyle\iint_{\mathcal S}\nabla\times\mathbf f\cdot\left(\dfrac{\partial\mathbf s}{\partial u}\times\dfrac{\partial\mathbf s}{\partial v}\right)\,\mathrm du\,\mathrm dv


where \mathbf s(u,v) is a vector-valued function that parameterizes \mathcal S. In this case, we can take

\mathbf s(u,v)=(u\cos v,u\sin v,2u^2\cos v\sin v)=(u\cos v,u\sin v,u^2\sin2v)

with 0\le u\le1 and 0\le v\le2\pi. Then

\mathrm d\mathbf S=\left(\dfrac{\partial\mathbf s}{\partial u}\times\dfrac{\partial\mathbf s}{\partial v}\right)\,\mathrm du\,\mathrm dv=(2u^2\cos v,2u^2\sin v,-u)\,\mathrm du\,\mathrm dv

and the integral becomes

\displaystyle\iint_{\mathcal S}(-2u^2\sin2v,-3u^2\cos^2v,-1)\cdot(2u^2\cos v,2u^2\sin v,-u)\,\mathrm du\,\mathrm dv
=\displaystyle\int_{v=0}^{v=2\pi}\int_{u=0}^{u=1}u-6u^4\sin^3v-4u^4\cos v\sin2v\,\mathrm du\,\mathrm dv=\pi<span />
4 0
3 years ago
HELPPP PLSSSS ITS ALMOST DUE IN 1 HOUR WILL GIVE BRAINLIEST THANKS AND 5 STARSSS
Veseljchak [2.6K]

Answer:

2.5 + 3<em>h</em> = 13

Step-by-step explanation:

2.5 for the hotdog.

3 for each hamburger

3.5$ for each hamburger as h

Hope this Helps!

5 0
3 years ago
Mr. and mrs. lorenzo want to buy a home valued at $213,500. if they have 18% of this amount saved for a down payment, how much h
Vesnalui [34]

Option d is the correct answer. $38,430.00 is the amount saved for a down payment given that Mr. and Mrs. Lorenzo want to buy a home valued at $213,500 and they have 18% of this amount saved for the down payment. This can be obtained by using percentage formula.

<h3>How much have they saved?</h3>

The percentage of a number can be obtained using percentage formula,

If P% of X is Y then it can be denoted using the formula of percentage as,

⇒ P% of X = Y

⇒ P% × X = Y   (where P% is P/100)

Here in the question it is given that,

  • Mr. and Mrs. Lorenzo want to buy a home valued at $213,500
  • They have 18% of this amount saved for a down payment

We have to find the amount they saved for the down payment.

  • Given that the total amount = $213,500
  • Percentage they are saving = 18%

The amount they saved for the down payment,

18% of the total amount = 18% of $213,500

Using the percentage formula we get,

18% of $213,500 = 18% × $213,500  

18% of $213,500 = 18/100 × $213,500

18% of $213,500 = $ 38,430.00

Hence Option d is the correct answer. $38,430.00 is the amount saved for a down payment given that Mr. and Mrs. Lorenzo want to buy a home valued at $213,500 and they have 18% of this amount saved for the down payment.

Learn more about percentages here:

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3 0
2 years ago
Use the slope formula to find the slope of the
muminat

Answer:

m= 2/17

Step-by-step explanation:

do the formula x1 and y1 and x2 and y2

x1, y1   x2, y2

(-11,15) (23,19)

when subtracting you ALWAYS START WITH YOUR Ys

19-15= 4

now subtract your Xs

23- (-11)= 34

now your answer is 4/34

but that's not the last step you can simplify it and make it smaller,

they both go into 2 so know divide both of then numbers by 2

and you should get 2/17

your final answer should be 2/17

4 0
2 years ago
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Six times a number is equal to eight more than five times the number
MariettaO [177]
The number is 8. 8x6=48, 8x5=40, 48-40=8.
4 0
4 years ago
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