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mash [69]
2 years ago
5

Evaluate.

Mathematics
1 answer:
lys-0071 [83]2 years ago
8 0

Answer:

  361/900

Step-by-step explanation:

  \left(-\dfrac{1}{6}+0.6\left(-\dfrac{1}{3}\right)+1\right)^2=\left(-\dfrac{1}{6}-0.2+1\right)^2\\\\=\left(1-\left(\dfrac{1}{6}+\dfrac{1}{5}\right)\right)^2=\left(1-\dfrac{5+6}{6\cdot5}\right)^2=\left(\dfrac{19}{30}\right)^2=\boxed{\dfrac{361}{900}}

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Kelly runs a restaurant that sells two kinds of desserts. Kelly knows the restaurant must make at least 25 dozen and at most 45
MissTica

Answer:

  (c, m) = (45, 10)

Step-by-step explanation:

A dozen White Chocolate Blizzards generate more income and take less flour than a dozen Mint Breezes, so production of those should clearly be maximized. Making 45 dozen Blizzards does not use all the flour, so the remaining flour can be used to make Breezes.

Maximum Blizzards that can be made: 45 dz. Flour used: 45×5 oz = 225 oz.

The remaining flour is ...

  315 oz -225 oz = 90 oz

This is enough for (90 oz)/(9 oz/dz) = 10 dozen Mint Breezes. This is in the required range of 2 to 15 dozen.

Kelly should make 45 dozen White Chocolate Blizzards and 10 dozen Mint Breezes: (c, m) = (45, 10).

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In the attached graph, we have reversed the applicable inequalities so the feasible region shows up white, instead of shaded with 5 different colors. The objective function is the green line, shown at the point that maximizes income. (c, m) ⇔ (x, y)

8 0
3 years ago
A local nursery sells a large number of ornamental trees every year. The owners have determined the cost per tree C for buying a
Karo-lina-s [1.5K]

The minimum cost is achieved when 150 trees are produced giving a minimum cost of $27.5

Polynomial is an expression that involves the <em>operations of addition, subtraction, multiplication of variables.</em>

Let C represent the cost for buying and caring for n trees. Given that:

C = 0.001n² - 0.3n + 50.

The minimum cost is at dC/dn = 0, hence:

dC/dn = 0.002n - 0.3

0.002n - 0.3 = 0

0.002n = 0.3

n = 150

C(150) = 0.001(150)² - 0.3(150) + 50 = 27.5

The minimum cost is achieved when 150 trees are produced giving a minimum cost of $27.5

Find out more at: brainly.com/question/25836610

8 0
3 years ago
Simply the expression
sp2606 [1]

Answer:

5w^22

Step-by-step explanation:

7 0
2 years ago
Yuri’s sister Karina is 12 years old. In the equation below, y represents Yuri’s age in years.
OLga [1]
In the given equation above, it can be deduced that 2 subtracted from 3 times Yuri's age is equal to the age of Karina which was given to be twelve. This statement is similar to that which is given in the choice number four. Thus, the answer is D. 
6 0
3 years ago
Read 2 more answers
Kelsey drew a rectangle with the same area as the square. The length of Kelsey's rectangle is 8 inches. What is the perimeter in
Nutka1998 [239]

Answer:  The answer is 20 inches.


Step-by-step explanation:  As given in the question and shown in the attached figure, Keyley drew the rectangle 'R' and square 'S' with equal areas.

Also, the length of Keyley's rectangle 'R' = 8 inches. Let the breadth be 'b' inches. Again, let 'l' be the length of a side of square 'S'.

Then, we must have

8\times b=\ell^2.

Now, the only possible value of b is 2, so that

\ell^2=16\\\\\Rightarrow \ell=4.

Thus, the breadth of 'R' is b = 2 inches and side of 'S' = 4 inches.

Therefore, perimeter of Keyley's rectangle 'R' is given by

p=8+2+8+2=20~\textup{inches}.

Thus, the answer is 20 inches.


6 0
3 years ago
Read 2 more answers
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