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xenn [34]
3 years ago
9

A community is building a square park with sides that measure 150 meters. To separate the picnic

Mathematics
1 answer:
Firlakuza [10]3 years ago
7 0

Answer:

212 meters

Step-by-step explanation:

The diagonal of a square is the square root of 2 times the length of the square. This can be rewritten as the square root of (2*area)

2 * 22500 = 45000

The square root of 45000 is about 212.13, which would round down to 212 meters.

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If the total operating cost for a 20-acre organic strawberry farm is $551,520, how many acres are on a farm with a total operati
larisa86 [58]

Answer:

16 acres

Step-by-step explanation:

First find the operating cost for 1 acre.  Find that by dividing $551,520 by 20 acres.  That gives us $27,576 per acre.  Now we can set up a proportion to solve for the number of acres that have an operating cost of $441,216:

\frac{cost}{acre}:\frac{27,576}{1}=\frac{441,216}{x}

Cross multiply to get:

27576x = 441216 so

x = 16

We did not have to find the cost per acre to solve this.  We could have set up the proportion with $551,520 on the top of the ratio and 20 on the bottom and we would still have gotten the same answer.  I just figured the numbers wouldn't be as large if we divided to find the cost per unit.

7 0
3 years ago
Read 2 more answers
Which number has only two factors? Why?<br><br> a)21<br><br> b)23<br><br> c)25<br><br> d)27
vagabundo [1.1K]

Answer:

I believe the answer would 25 hope this helps

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Let’s work with some actual data this time. Go online to research and find a set of real-world data in two variables. The data c
slega [8]

The quadratic regression equation that best fits the data set is y = 32.86x² - 379.14x  + 1369.14

<h3>The data points </h3>

The following table of values represents the data points that would be used to solve this question:

x 3 4 5 6 7 8 9

y 470 416 403 226 314 338 693

Where:

  • x represents years since 2000
  • y represents the annual revenue of a manufacturing company in thousand dollars

<h3>The function of the dataset</h3>

The table of values illustrates a quadratic function.

The function would be calculated using a graphing calculator

From the graphing calculator, we have:

a = 32.86; b = -379.14 and c = 1369.14

A quadratic regression equation is represented as:

y = ax² + bx + c

So, we have:

y = 32.86x² - 379.14x  + 1369.14

Hence, the quadratic regression equation that best fits the data set is y = 32.86x² - 379.14x  + 1369.14

<h3>Why the function type was chosen?</h3>

From the table of values in (a), we can see that as x increases; the value of y decreases and then increases after it reaches a minimum.

This illustrates the behavior of a quadratic regression function

See attachment for the scatter plot

Read more about quadratic regression equation at:

brainly.com/question/14786188

#SPJ1

5 0
2 years ago
Does the chart below represent a proportional relationship? What is the rate of change?
Lilit [14]

This chart represents a proportional relationship. The rate of change will be 4.

<h3>What is the constant of proportionality?</h3>

Firstly, there is a proportional relationship.

Two values x  and y are said to be in a proportional relationship if x=ky, where x and y are variables and k is a constant.

The constant k is called the constant of proportionality.

Given;

x y

1 4

2 8

3 12

4 16

Here, x = ky

put the first value

k = 1/4

This chart represents a proportional relationship.

So the rate of change will be

Rate = \dfrac{y_2 - y_1}{x_2 - x_1}\\\\Rate = \dfrac{8 - 4}{2 - 1}\\\\Rate = 4

Learn more about proportional ;

brainly.com/question/20048815

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5 0
2 years ago
Given a table of values of a quadratic function, which of the following do you absolutely need in order to find its equation? *
nadya68 [22]

Answer:

The general form of a quadratic function is --> y = ax2 + bx + c

Since (0, -2) exists for the function, we can plug in those values:

-2 = a(0)2 + b(0) + c

-2 = 0 + 0 + c

-2 = c

So now our function so far is --> y = ax2 + bx - 2

We have two pairs of coordinates left: (-1, -8) and (3, -8).

First, plug in the first pair and simplify as much as you can:

-8 = a(-1)2 + b(-1) - 2

-8 = a - b - 2 ( add 2 to both sides )

-6 = a - b (stop here because we can't go further)

Second, plug in the second pair and simplify as much as you can:

-8 = a(3)2 + b(3) - 2

-8 = 9a + 3b - 2 ( add 2 to both sides )

-6 = 9a + 3b (stop here because we can't go further)

Now we have these two equations left:

a - b = -6

9a + 3b = -6

Now we solve for a and b using systems of equations, using one of three ways:

substitution

elimination

graphing (not my favorite, but it is doable)

Using substitution:

a - b = -6 can be rewritten as a = b - 6

plug into the second equation and solve for b

9(b - 6) + 3b = -6 (distribute the 9)

9b - 54 + 3b = -6 (combine all of the b's)

12b - 54 = -6 (add 54 to both sides)

12b = 48 (divide by 12 on both sides to isolate b)

b = 4

plug b into one of the original two equations

a - 4 = -6 (add 4 to both sides)

a = -2

The quadratic equation for this table is y = -2x2 + 4b - 2

6 0
2 years ago
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