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JulijaS [17]
3 years ago
7

Jason has "buy one get one free" tickets to the comedy club. He is bringing 7 people including himself. If the regular price is

$10.25 per person, how much change will he have left from $100 bill?
A $28.25
B $59.00
C $41.00
D $71.75
Mathematics
1 answer:
vladimir2022 [97]3 years ago
3 0
The answer is B; $ 59.00. All you have to do is multiply the price times 4 and then subtract that from 100. Then do it again and 59 should be your answer.
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Find an equation of the tangent plane to the given surface at the specified point. z = ln(x − 8y), (9, 1, 0)
Archy [21]

Answer:

x - 8y - z = 1

Step-by-step explanation:

Data provided according to the question is as follows

f(x,y) = z = ln(x - 8y)

Now the equation for the tangent plane to the surface

For z = f (x,y) at the point P (x_0,y_0,z_0) is

z - z_0 = f_x(x_0,y_0)(x-x_0) + f_y(x_0,y_0)(y-y_0)\\

Now the partial derivatives of f are

f_x(x,y) = \frac{1}{x-8y} \\\\f_y(x,y) = \frac{8}{x-8y} \\\\P(x_0,y_0,z_0) = (9,1,0)\\\\f_z(9,1,0) = (\frac{1}{x-8y})_^{(9,1,0)}

\\\\=\frac{1}{9-8}

= 1

Now

f_y(9,1,0)=(\frac{8}{x-8y})_{(9,1,0)}\\\\ = -\frac{8}{9 - 8}

= -8

So, the tangent equation is

z - 0 = 1\times (x - 9) -8\times (y - 1)

Now after solving this, the following equation arise

z = x - 9 - 8y + 8

z = x - 8y - 1

Therefore

x - 8y - z = 1

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Convert to an improper fraction. Type in your answer with the negative in the numerator. -8 3/4 =
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Answer:

-32/4

Step-by-step explanation:

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1 joule = 6,242e+18ev

20 joule = 20 joule *6,242e+18 ev/joule =1,248e+20 ev

1,248e+20 ev / (10 ev / photon) =1,248e+19 photons.



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