Economists study the way society uses its resources. One important resource studied is agriculture. The recent increase in demand for organic produce has created some interesting economic scenarios for both farmers and consumers. Click the article to learn key facts about the economics of organic produce and answer a few questions.

Which is a reason that organic farming is more expensive than conventional farming?



How many years must a farm be run organically before its produce can be labeled as “organic”?



What is a benefit of crop rotation?

Answer:

It is a linear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are on a straight line.

Step-by-step explanation:

(0,-3) goes on the straight line perfectly

(1, −1) goes on the straight line perfectly

(2, 1) goes on the straight line perfectly

this means that it is a linear function due to all the points being on the line

hope this helps!

The given function y = 2x − 3 is a linear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are on a straight line.

A straight line on the coordinate plane is represented by a linear function.

Given function y = 2x − 3.

Clearly, it is a straight line.

At x = 0, y = 2*0 - 3 = 0 - 3 = - 3

At x = 1, y = 2*1 - 3 = 2 - 3 = - 1

At x = 2, y = 2*2 - 3 = 4 - 3 = 1

So, the given straight line passes through the points (0, -3),  (1, -1), and (2, 1). Then the given function is a linear function.

Therefore, we can conclude that the given function y = 2x − 3 is a linear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are on a straight line. So, the first option is correct.

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The quadratic function that represents the given graph is:

y = ¹/₂(x − 4)² - 1

The general form of a quadratic equation in Vertex Form is expressed as:

y = a(x − h)² + k,

where

(h, k) is the vertex.

From the given graph, we can see that the coordinates of the vertex is (4, -1). Thus, we have:

y = a(x − 4)² - 1

Looking at the four given options from Option A to Option D, we can deduce that only given option that gives us the coordinates of the quadratic curve vertex is option D.

Thus, we can conclude that the quadratic function that truly represents the given parabolic graph curve is:

y = ¹/₂(x − 4)² - 1

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Answer:

the numbers are 8 and 3.

The equation that represents the balance of the loan, y, if he borrows the money for x years is presented as follows;

\(y = 5000\cdot e^{0.089\cdot t}\)

A continuous compounding interest involves finding the accrued interest and repeat reinvestment of the interest in which the number of periods is infinite.

The formula for the amount of a compound interest loan compound continuously is expressed as follows;

\(A(t) = P_0\cdot e^{r\cdot t}\)

Where;

P₀ = The principal amount = The amount loaned

r = The interest rate

t = The duration of the loan

The amount of loan Landis is taking, P₀ = $5,000

The interest rate compounded continuously, r = 8.9%

Where, y = The balance of the loan, and x = The number of years the loan is borrowed, we get;

P₀ = $5,000

r = 8.9% = 0.089

y = A(t)

x = t

Therefore; \(y = 5000\times e^{0.089 \times t}\)

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The probability that 2 or fewer in the sample will favor the project is  4.368 × 10⁻⁶ and Also The data seem to indicate that the percent favoring the increase in fees is less than 70%

According to the question,

It is given that according to the student's government

The probability that number of students in favor of increment in fees : p = 0.70

The probability that number of students against the increment : q = 0.30

Sample Size : n = 12

Number of students follows Binomial distribution

(a) We have to find the probability that 2 or fewer in the sample will favor the project

P( x ≤ 2) = P(0) + P(1) + P(2)

As we know ,

P(x) = ⁿCₓpˣq⁽ⁿ⁻ˣ⁾

=> P( x ≤ 2) = ¹²C₀p⁰q¹² + ¹²C₁p¹q¹¹ + ¹²C₂p²q¹⁰

=>  P( x ≤ 2) = 1×(0.30)¹² + 12×(0.70)(0.30)¹¹  + 12×11/2 × (0.70)²(0.30)¹⁰

=> P( x ≤ 2) = (0.30)¹⁰ [ 0.09 + 0.21 + 0.48]

=>  P( x ≤ 2) = 5.9×10⁻⁶[0.78]

=>  P( x ≤ 2) = 4.368 × 10⁻⁶

Which is very close to zero

(b) The data doesn't support the student government claim.

The data seem to indicate that the percent favoring the increase in fees is less than 70%.

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No discount is being made with respect to the online purchase, but the same original price is maintained.

To determine the discount percentage, the following calculation must be made:

Therefore, no discount is being made with respect to the online purchase, but the same original price is maintained.

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Answer:

you multiply through parenthesis

Step-by-step explanation:

ex.

3(3x+4)=48

9x+12=48

-12. -12

9x=36

9x/9. 36/9

x=4

I think this is what you are asking but I'm not for sure

Answer:

0.75 g ≤ 35

Step-by-step explanation:

if each games costs $0.75, then the answer of g will be given by 35/0.75.

he can go up to exactly $35 but not over

so, the inequality is given by 0.75 g ≤ 35

Answer:

4.53/1=4.53  4.53x1.36=6.1608

6.1608 per kilogram

Step-by-step explanation:

Divide the total cost by the number of pounds to determine the cost of each pound. Divide the original cost by 1.36 kg to get the price in kilograms

Answer:

is this flvs full flex? I'm in this as well, whats your grade?

also im doing 12th grade math if you havent gotten to that point yet you will be working in Aleks for math and phewww, good luck i hate this

Step-by-step explanation:

The point in the solution set from the graph is (0, 0)

From the question, we have the following parameters that can be used in our computation:

y < -5/2x - 2

y ≥ -1/2x + 2

Next, we plot the graph of the system of the inequalities

The graph is given

From the graph, we have solution to the system to be the shaded region

The point in the solution set from the graph is (0, 0)

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Answer:

8

Step-by-step explanation:

3+5 = 8

162

Step-by-step explanation:

(12 square - 15 + 17) + 16

=(144 - 15 + 17) + 16

=146 + 16

=162

Using it's concept, it is found that:

a) For the Jumping Jackrabbits, the MAD is of 3.6 and for the Leaping Lizards, the MAD is of 6.8.

b) Due to the higher value of the MAD, the Leaping Lizards have less consistent scores than the Jumping Jackrabbits.

Item a:

For the Jumping Jackrabbits, the mean and the MAD are given by:For the Jumping Jackrabbits, the MAD is of 3.6 and for the Leaping Lizards, the MAD is of 6.8.

M = (70 + 65 + 72 + 80 + 73)/5 = 72

MAD = (|70 - 72| + |65 - 72| + |72 - 72| + |80 - 72| + |73 - 72|)/5 = 3.6.

For the Leaping Lizards, the mean and the MAD are given by:

M = (61 + 47 + 70 + 63 + 54)/5 = 59

MAD = (|61 - 59| + |47 - 59| + |70 - 59| + |63 - 59| + |54 - 59|)/5 = 6.8.

For the Jumping Jackrabbits, the MAD is of 3.6 and for the Leaping Lizards, the MAD is of 6.8.

Item b:

Due to the higher value of the MAD, the Leaping Lizards have less consistent scores than the Jumping Jackrabbits.

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Answer:

95%

Step-by-step explanation:

%Change from 800 to 40 = %Decrease

%Decrease = Old Value - New Value/Old Value × 100%

%Decrease = 800-40/800 × 100%

%Decrease = 760/800 × 100%

% Decrease = 95%(Answer)

Answer:

2

Step-by-step explanation:

-4(2x-7)=12

(2x-7)=12/(-4)

2x-7=-3

2x= -3+7

2x= 4

x= 4/2

x=2

The height is the distance between the opposite parallel sides of the parallelogram.

Therefore, the height of the parallelogram is 4 cm.

The correct answer is Confidence interval lower bound: 32.52 cm,Confidence interval upper bound: 37.48 cm

To calculate the confidence interval for the true mean height of the loaves, we can use the t-distribution. Given that the sample size is small (n = 10) and the population standard deviation is unknown, the t-distribution is appropriate for constructing the confidence interval.

The formula for a confidence interval for the population mean (μ) is:

Confidence Interval = sample mean ± (t-critical value) * (sample standard deviation / sqrt(sample size))

For the first situation:

n = 15

Confidence level is 95% (which corresponds to an alpha level of 0.05)

x = 35 (sample mean)

s = 2.7 (sample standard deviation)

Using RStudio or a t-table, we can find the t-critical value. The degrees of freedom for this scenario is (n - 1) = (15 - 1) = 14.

The t-critical value at a 95% confidence level with 14 degrees of freedom is approximately 2.145.

Plugging the values into the formula:

Confidence Interval = 35 ± (2.145) * (2.7 / sqrt(15))

Calculating the confidence interval:

Lower Bound = 35 - (2.145) * (2.7 / sqrt(15)) ≈ 32.52 (rounded to 2 decimal places)

Upper Bound = 35 + (2.145) * (2.7 / sqrt(15)) ≈ 37.48 (rounded to 2 decimal places)

Therefore, the lower bound of the confidence interval is approximately 32.52 cm, and the upper bound is approximately 37.48 cm.

For the second situation:

n = 37

Confidence level is 99% (which corresponds to an alpha level of 0.01)

x = 82 (sample mean)

s = 5.9 (sample standard deviation)

The degrees of freedom for this scenario is (n - 1) = (37 - 1) = 36.

The t-critical value at a 99% confidence level with 36 degrees of freedom is approximately 2.711.

Plugging the values into the formula:

Confidence Interval = 82 ± (2.711) * (5.9 / sqrt(37))

Calculating the confidence interval:

Lower Bound = 82 - (2.711) * (5.9 / sqrt(37)) ≈ 78.20 (rounded to 2 decimal places)

Upper Bound = 82 + (2.711) * (5.9 / sqrt(37)) ≈ 85.80 (rounded to 2 decimal places)

Therefore, the lower bound of the confidence interval is approximately 78.20 cm, and the upper bound is approximately 85.80 cm.

For the third situation:

n = 1009

Confidence level is 90% (which corresponds to an alpha level of 0.10)

x = 0.9 (sample mean)

s = 0.04 (sample standard deviation)

The degrees of freedom for this scenario is (n - 1) = (1009 - 1) = 1008.

The t-critical value at a 90% confidence level with 1008 degrees of freedom is approximately 1.645.

Plugging the values into the formula:

Confidence Interval = 0.9 ± (1.645) * (0.04 / sqrt(1009))

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Answer:

D) \(\frac{-3}{2}\)

The slope of the line m =  \(\frac{-3}{2}\)

Step-by-step explanation:

Step(i):-

Given that the points are (-4,10) and (4,-2)

we have to find that the slope of the line

Step(ii):-

Solution:-

                   \(m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)

                  \(m = \frac{-2-10}{4-(-4) }\)

                 \(m = \frac{-12}{8} = \frac{-3}{2}\)

Final answer:-

The slope of the line m =  \(\frac{-3}{2}\)

Efficiency.Compared to solar panels' efficiency range of 18% to 22%, wind turbines typically capture 60% of the energy that flows through them.

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Answer:

h =12

Step-by-step explanation:

\(In\: \triangle ABC, \: \angle ABC = 90\degree \: \&\:\\ BD\perp AC\)

Therefore, by geometric mean property:

\(BD = \sqrt {AD\times CD} \\

h = \sqrt {(AC-CD) \times CD} \\

h = \sqrt {(25-16) \times 16} \\

h = \sqrt {9 \times 16} \\

h = \sqrt {144} \\

\huge \red {\boxed {h = 12}} \\

\)

Answer:

Step-by-step explanation:

12

Answer: Most probably g-6.

Step-by-step explanation:

subtract g-5-1

The truth value of the statement is false

Given that

The statement "even numbers are divisible by 2" is true

The above statement is a conditional statement and we can calculate the following properties for the statement

In this case, we are to calculate the negation of the statement

When the statement "even numbers are divisible by 2" is negated, we have

The statement "even numbers are not divisible by 2" is not true

In logic expressions,

not true means false

So, the truth value of the statement is false

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Answer:

Total Probability must be 1

1 - (.4 + .25) = .35

The equation for the Volume (V) of the cone given is,

We are to isolate 'h' in the equation above

SOLUTION

Multiply both sides by 3

Simplify

Divide both sides by πr²

Simplify

Hence, the answer is

Answer:

Its 20

Step-by-step explanation:

Answer:

9 7/8

Step-by-step explanation:

1. 4 3/8 can be converted into the improper fraction 35/8, and 5 1/2 can be converted into 11/2.

2. Now that we have 35/8 + 11/2, we have to find a common denominator. Since 2 goes into 8 four times, we can turn 11/2 into 44/8 by multiplying the numerator and denominator (the top and the bottom numbers) by 4.

3. Now we have 35/8 + 44/8. At this point, the all we have to do is add the numerators (the top numbers). 35+44=79, so our answer is 79/8, which we can simplify to 9 7/8.

Answer:

The answer will be, 105.26

First,