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BartSMP [9]
3 years ago
7

The retailer sold each package for $12.59.

Mathematics
2 answers:
juin [17]3 years ago
5 0

Answer:

✔ $4.36

✔ $8.23

Step-by-step explanation:

Lena [83]3 years ago
3 0

Answer: 8.23

Hope this helps all you young learners

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3,500 that is the answer to this question because u multiply 7 times 500 and get 3,500
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Dividing polynomials simplify 10c+6÷2
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A library has 300 feet of shelves for books. The library will increase the number of feet of shelves by 18%. Question 1 Part A H
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Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. Illustra
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Answer:

x = t

y = 1 - t

z = 2t

Step-by-step explanation:

Given

x=t

y=e^{-t}

z=2t-t^2

(0, 1, 0)

The vector equation is given as:

r(t) = (x,y,z)

Substitute values for x, y and z

r(t) = (t,\ e^{-t},\ 2t - t^2)

Differentiate:

r'(t) = (1,\ -e^{-t},\ 2 - 2t)

The parametric value that corresponds to (0, 1, 0) is:

t = 0

Substitute 0 for t in r'(t)

r'(t) = (1,\ -e^{-t},\ 2 - 2t)

r'(0) = (1,\ -e^{-0},\ 2 - 2*0)

r'(0) = (1,\ -1,\ 2 - 0)

r'(0) = (1,\ -1,\ 2)

The tangent line passes through (0, 1, 0) and the tangent line is parallel to r'(0)

It should be noted that:

The equation of a line through position vector a and parallel to vector v is given as:

r(t) = a + tv

Such that:

a = (0,1,0) and v = r'(0) = (1,-1,2)

The equation becomes:

r(t) = (0,1,0) + t(1,-1,2)

r(t) = (0,1,0) + (t,-t,2t)

r(t) = (0+t,1-t,0+2t)

r(t) = (t,1-t,2t)

By comparison:

r(t) = (x,y,z) and r(t) = (t,1-t,2t)

The parametric equations for the tangent line are:

x = t

y = 1 - t

z = 2t

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