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baherus [9]
2 years ago
11

The director of a health clinic has a quarterly budget of $600,000. She

Mathematics
1 answer:
nalin [4]2 years ago
8 0

The meaning of this problem is that with 7 nurses they can only hire D=13.25

<h3>What is the meaning of this problem.?</h3>

Generally, the equation for the model is  mathematically given as

P=1000D^{0.6}N^{0.3}

Therefore,

dv/dD=0.6*1000*D^{0.4}N)^{0.3}

dv/dD=600* \frac{N6.1}{D6.1}=0

Also

dv/dN=300* \frac{N6.8}{N6.7}=0

Equations 1 and 2

300* \frac{D6.8}{N6.7}=600* \frac{N6.1}{D6.1}

.sub D=(60N)/4

300* \frac{((60N)/4)6.8}{N6.7}=600* \frac{N6.1}{((60N)/4)6.1}

N=6.67

N=7

solve for D

D=(60(7))/4

D=13.25

In conclusion, with 7 nurses they can only hire D=13.25

Read more about  LaGrange multiplier

brainly.com/question/4609414

#SPJ1

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What is the function f(x) = 2(x + 6), find x if f(x) = 22
lord [1]

Answer:

<h3>x = 5</h3>

Step-by-step explanation:

f(x) = 2(x + 6)

f(x) = 22

thereofre we have the equation:

2(x + 6) = 22      <em>use distributive property</em>

2x + 12 = 22     <em>subtract 12 from both sides</em>

2x = 10     <em>divide both sides by 2</em>

x = 5

3 0
3 years ago
Eights rooks are placed randomly on a chess board. What is the probability that none of the rooks can capture any of the other r
erastova [34]

Answer:

The probability is \frac{56!}{64!}

Step-by-step explanation:

We can divide the amount of favourable cases by the total amount of cases.

The total amount of cases is the total amount of ways to put 8 rooks on a chessboard. Since a chessboard has 64 squares, this number is the combinatorial number of 64 with 8, 64 \choose 8 .

For a favourable case, you need one rook on each column, and for each column the correspondent rook should be in a diferent row than the rest of the rooks. A favourable case can be represented by a bijective function  f : A \rightarrow A , with A = {1,2,3,4,5,6,7,8}. f(i) = j represents that the rook located in the column i is located in the row j.

Thus, the total of favourable cases is equal to the total amount of bijective functions between a set of 8 elements. This amount is 8!, because we have 8 possibilities for the first column, 7 for the second one, 6 on the third one, and so on.

We can conclude that the probability for 8 rooks not being able to capture themselves is

\frac{8!}{64 \choose 8} = \frac{8!}{\frac{64!}{8!56!}} = \frac{56!}{64!}

7 0
2 years ago
The Taieri Plain in New Zealand is 6 feet below sea level (or –6 feet). If you are standing 3 feet above sea level, is your elev
andrew-mc [135]

Answer:

NO

Step-by-step explanation:

Opposite numbers are the same distance from 0 on the number line, but in opposite directions. Steps I would follow:

first, check the directions to make sure they are opposite,

then read the digits, or count the tick marks or compare lengths with dividers or ruler or marks on a piece of paper to see if the distances are the same.

3 is not the opposite of -6

Therefore 6 is the opposite of -6

3 0
2 years ago
Read 2 more answers
TIMED TEST HELP PLEASE​
Allisa [31]
It’s -3 mate good luck on your test :)
7 0
3 years ago
(951² - 159²)÷(7539²-357²) x (258²-852²)
Marysya12 [62]

Answer:

(879,120)÷(56709072) ×(-659340)=-10221.274

Step-by-step explanation:

we use bedmas rules when it comes to long solving questions.

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