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notka56 [123]
3 years ago
10

Holiday Time! Crazy Time! You have to work 7 days in a row. You work 8 hours a day every single day for 7 days straight. Your wa

ge rate is $12 per hour. How much are your gross wages?
Mathematics
2 answers:
Ulleksa [173]3 years ago
8 0
I think its 672 because * hrs a day is 56 and when you multiply that by 12 its 672<span />
algol133 years ago
8 0
So if you work 7 hours a day for 8 days in a row we get 56 hours, then multiply that by $12 to find your earnings which is 672.
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Write an equation of the line that passes through (2, -3) and is perpendicular to the line y=-2x-3
Natalija [7]

Answer:

y=\frac{1}{2} (x-2)-3 or y=\frac{1}{2} x-4

Step-by-step explanation:

The perpendicular slope is the opposite-reciprocal of the original slope:

Perpendicular slope of -2 is \frac{1}{2}

Write the equation in point-slope form (y=a(x-h)+k):

y=\frac{1}{2} (x-2)-3

Convert to slope-intercept form if needed:

y=\frac{1}{2} x-1-3

y=\frac{1}{2} x-4

8 0
3 years ago
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guse lagrange multipliers to find the maximum or minimum values of the function subject to the given constraint. (if an answer d
Novosadov [1.4K]

Therefore the maximum value of function f(x,y,z)=x^{2} y^{2} z^{2} =1/27

And the minimum value is 0

<h3>What is function?</h3>

function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable) (the dependent variable) (the dependent variable). Mathematics uses functions frequently, and functions are essential for specifying physical relationships in the sciences.

Here,

The function is given as:

f(x,y,z)=x^{2} y^{2} z^{2}

x^{2} +y^{2}+ z^{2}=1

=>x^{2} +y^{2}+ z^{2}-1=0

Using Lagrange multiplies, we have:

L(x,y,z,λ)=f(x,y,z) +λ(0)

Substitute f(x,y,z)=x^{2} y^{2} z^{2}  and x^{2} +y^{2}+ z^{2}-1=0

Differentiate

L(x)=2xy^{2} z^{2}+2λx

L(y)=2yx^{2} z^{2}+2λy

L(z)=2zx^{2} y^{2}+2λz

L(λ)=x^{2} +y^{2}+ z^{2}-1

Equating to 0

2xy^{2} z^{2}+2λx =0

2yx^{2} z^{2}+2λy = 0

2zx^{2} y^{2}+2λz = 0

x^{2} +y^{2}+ z^{2}-1 = 0

Factorize the above expressions

2xy^{2} z^{2}+2λx =0

2x(y^{2} z^{2}+λ)=0

2x=0 and (y^{2} z^{2}+λ)=0

x=0 and  y^{2} z^{2}= -λ

2yx^{2} z^{2}+2λy = 0

2y(x^{2} z^{2}+λ)=0

2y=0 and (x^{2} z^{2}+λ)=0

y=0 and  x^{2} z^{2}= -λ

2zx^{2} y^{2}+2λz = 0

2z(y^{2} x^{2}+λ)=0

2z=0 and (x^{2} y^{2}+λ)=0

z=0 and  x^{2} y^{2}= -λ

So we have ,

x=0 and  y^{2} z^{2}= -λ

y=0 and  x^{2} z^{2}= -λ

z=0 and  x^{2} y^{2}= -λ

The above expression becomes

x=y=z=0

This means that,

x^{2} +y^{2}+ z^{2}=1

x^{2} +x^{2}+ x^{2} =1 \\3x^{2 } =1

x= ±1/\sqrt{3}

So,

y= ±1/\sqrt{3}

z= ±1/\sqrt{3}

The critic points are

x=y=z=±1/\sqrt{3}

x=y=z=0

Therefore the maximum value of function f(x,y,z)=x^{2} y^{2} z^{2} =1/27

And the minimum value is 0

To know  more about function , visit

brainly.com/question/12426369

#SPJ4

3 0
1 year ago
Which function represents the graph of h(x)=2∣∣x+3∣∣−1h(x)=2|x+3|−1 after it is translated 2 units right?
frosja888 [35]
C because i learned it from xxxx xxx
6 0
3 years ago
20 - (-3) + 15 help a girl outt :(
Kryger [21]

Answer is 38

20 -(-3) + 15

20 + 3 + 15

38

6 0
3 years ago
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Every 2.5 hours, a machine produces 150 baskets.
drek231 [11]

Answer:

60

Step-by-step explanation:

We use unit rate function,

Let h be hours

Let b be baskets

2.5h = 150b

We divide both sides by 2.5

2.5h/2.5 = 150b/2.5

Which will give us

h = 60

7 0
3 years ago
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