3 years ago

Pricing Math Quiz

Mathematics

1 answer:

dangina [55]3 years ago

5 0

A $16.14 is the answer

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What type of units are used to describe volume?

storchak [24]

Units used to describe volume are cubic

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The temperature function (in degrees Fahrenheit) in a three dimensional space is given by T(x, y, z) = 3x + 6y - 6z + 1. A bee i

madam [21]

You're looking for the extreme values of $T(x,y,z)=3x+6y-6z+1$ subject to $x^2+y^2+z^2=9$ . The Lagrangian is

$L(x,y,z,\lambda)=3x+6y-6z+1+\lambda(x^2+y^2+z^2-9)$

with critical wherever the partial derivatives vanish:

$L_x=3+2\lambda x=0\implies x=-\dfrac3{2\lambda}$

$L_y=6+2\lambda y=0\implies y=-\dfrac3\lambda$

$L_z=-6+2\lambda z=0\implies z=\dfrac3\lambda$

$L_\lambda=x^2+y^2+z^2-9=0$

Substituting the first three solutions into the last equation gives

$\dfrac9{4\lambda^2}+\dfrac9{\lambda^2}+\dfrac9{\lambda^2}=9$

$\implies\lambda=\pm\dfrac32$

$\implies x=1,y=2,z=-2\text{ or }x=-1,y=-2,z=2$

At these points, we have

$T(1,2,-2)=28$

$T(-1,-2,2)=-26$

so the highest temperature the bee can experience is 28º F at the point (1, 2, -2), and the lowest is -26º F at the point (-1, -2, 2).

6 0

3 years ago

Plz help it’s due today

lina2011 [118]

Answer:

From left to right:

1/8

5/8

1-3/16

1-7/8

2-1/2

3-1/8

4-3/8

5-3/8

5-7/8

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3 years ago

HELP PLZ GOD BLESS YOU HELP PLZ

taurus [48]

Answer:

B) rose bush: $8, pot of ivy: $11

Step-by-step explanation:

12(8) + 13(11) = 239

remove parentheses: (a) = a

= 12 * 8 + 13 * 11

multiply the numbers: 12 * 8 = 96

= 96 + 13 * 11

multiply the numbers: 13 * 11 = 143

= 96 + 143

add the numbers: 96 + 143 = 239

= 239

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What is an angle that measures 1/2 turn

Ad libitum [116K]

An angle that measures 1/2 turn is 180 degree angle

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