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PtichkaEL [24]
3 years ago
10

Evaluate the given expression 9P6

Mathematics
1 answer:
iogann1982 [59]3 years ago
8 0

Answer:

60480

Step-by-step explanation:

nPr=\frac{n!}{\left(n-r\right)!}\\\\nPr=\frac{9!}{\left(9-6\right)!}=nPr=\frac{9!}{\left3\right!}=\frac{9*8*7*6*5*4*3*2*1}{3*2*1}=60480

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Please Help: 0.125r - 0.0625 + 0.25r = 0.25 + r
IRISSAK [1]

Answer:

r=0.5

Step-by-step explanation:

0.125r+0.25r-0.0625=0.25+r

0.375r-0.0625=0.25+r

0.375r-r=0.25+0.0625

-0.625r=0.3125

r=0.3125/0.625

r=0.5

7 0
3 years ago
3/7 =9/x<br><br><br><br> solve the following proportions ( they are fractions) thanks!
tresset_1 [31]
3/7 = 9/x
cross multiply because thats how u solve proportions
(3)(x) = (7)(9)
3x = 63
x = 63/3
x = 21

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6 0
4 years ago
How do you show work for "What is the standard form for 20,000+80,000+700+6?
olya-2409 [2.1K]

I think you should re-check the question because you might have made a typo.

3 0
3 years ago
Round rhis number to the nearest thousand 3,842,532
deff fn [24]
Rounding to nearest 10: 3,842,530

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3 0
3 years ago
Read 2 more answers
Find the minimum cost of producing 60000 units of a product, where x is the number of units of labor, at $99 per unit, and y is
Y_Kistochka [10]

Answer:

The minimum cost of producing 60000 units of a product is $105867

Step-by-step explanation:

Since x is the number of units of labor, at $99 per unit, and y is the number of units of capital expended, at $84 per unit, The cost C(x,y) is given by:

C(x, y) = 99x + 84y

P(x, y) = 100x^{0.25}y^{0.75}

For the minimum cost:

100x^{0.25}y^{0.75}=60000\\x^{0.25}(\frac{33x}{28} )^{0.75}=600\\x^{0.25}(\frac{33}{28} )^{0.75}x^{0.75}=600\\x^{0.25+0.75}*1.131=600

Using the langrage multiplier,

99=0.25(100)x^{-0.75}y^{0.75}\lambda...(1\\84=0.25(100)x^{0.25}y^{-0.25}\lambda...(2

Dividing both equation 1 and 2

y=\frac{33}{28}x

Substituting y=\frac{33}{28}x in 100x^{0.25}y^{0.75}=60000, we get:

x_{min}=530.44 labor units

Substituting x_{min}=530.44  labor units in y=\frac{33}{28}x, we get

y_{min}=\frac{33}{28}*530.44=625.16 labor unit

C(x, y) = 99x + 84y=99(530.44)+84(635.16) = $105867\\

The minimum cost of producing 60000 units of a product is $105867

3 0
3 years ago
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