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qaws [65]
3 years ago
10

3 and 11 Find the midpoint

Mathematics
1 answer:
tiny-mole [99]3 years ago
8 0

Answer:

7

Step-by-step explanation:

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A rectangular parking area measuring 5000 ft squared is to be enclosed on three sides using​ chain-link fencing that costs ​$5.5
kaheart [24]

Answer:

Dimensions: 75.3778 ft and 66.3325 ft

Minimum price: $1658.31

Step-by-step explanation:

Let's call the length of the parking area 'x', and the width 'y'.

Then, we can write the following equations:

-> Area of the park:

x * y = 5000

-> Price of the fences:

P = 2*x*5.5 + y*5.5 + y*7

P = 11*x + 12.5*y

From the first equation, we have that y = 5000/x

Using this value in the equation for P, we have:

P = 11*x + 12.5*5000/x = 11*x + 62500/x

To find the minimum of this function, we need to take its derivative and then make it equal to zero:

dP/dx = 11 - 62500/x^2 = 0

x^2 = 65000/11

x = 250/sqrt(11) = 75.3778 ft

This is the x value that gives the minimum cost.

Now, finding y and P, we have:

x*y = 5000

y = 5000/75.3778 = 66.3325

P = 11*x + 62500/x = $1658.31

5 0
3 years ago
What is the simplified form of the following expression? 13[62 ÷ (52 – 42) + 9]
tatuchka [14]

Answer:

197.6

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write expression

13[62 ÷ (52 - 42) + 9]

Step 2: Brackets - Parenthesis (Subtract)

13[62 ÷ 10 + 9]

Step 3: Brackets - Division

13[6.2 + 9]

Step 4: Brackets - Addition

13[15.2]

Step 5: Multiply

197.6

3 0
3 years ago
Read 2 more answers
PLEASE HELP !!!
Art [367]
-3•-4=12, and -3+-4=-7.
this will turn into
(x-3)(x-4)
set them up to equal zero
x-3=0, x-4=0
solve
x=3, x=4
(a)
8 0
3 years ago
Mitch needs four 10 gram samples of NaCl (Sodium Chloride) for an experiment. Mitch is using a balance that measures to 1/10 of
trapecia [35]

<span>the complete question in the attached figure
</span>
The answer is the option A 9.9 grams
because the balance is accurate to the nearest 1/10 gram; thus, the <span>highest level of accuracy appropriate to the limitations of the balance is 0.10 gram (1/10)</span>

6 0
3 years ago
The freezing point of water is 0 C. Scientists use positive numbers to show temperatures above the freezing point water and nega
inn [45]

Answer:

The -18°C temperature as the freezing point of maple syrup means that the temperature at which maple syrup changes from liquid to solid (that is, freezes) is 18° below the freezing point of water.

Step-by-step explanation:

It is explained that the freezing point of water is used as the standard or reference point to calibrate the Celsius scale.

The scientists use 0°C to represent the freezing point of water and subsequently use positive numbers to indicate temperatures above the freezing point of water and negative numbers to indicate temperatures lower than the freezing point of water.

So, a temperature/freezing point of -18°C simply means that the temperature/freezing point is 18° lower than the freezing point of water.

Hope this Helps!!!

8 0
3 years ago
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