You are studying the acres of farmland planted with genetically engineered seeds over a period of time to see if you notice any trends. What trend do you see with genetically engineered corn planted between 2000 and 2008?



A.
increasing, then decreasing
B.
continually decreasing
C.
generally constant
D.
continually increasing
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Given:

D is start origin that mean (0,0) moving with graph :

It move x then y is

Point is (2,4)

Distance is:

Where,

So distance is:

Answer:

B

Step-by-step explanation:

Answer:

C: 26 units

Step-by-step explanation:

I know this is correct :)

Answer:

What do you understand by semi-direct

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = a|x-h| + k

(h,k) is the vertex

There's no standard formula for absolute values. I just made it up as an example, pretty much.

Since a is negative, the function opens downward.

h = -2, k = 0, so the vertex is at (-2,0)

Answer:

i dono

Step-by-step explanation:

The numbers of questions answered correctly by various students on a 10-question quiz are an example of discrete numerical data. The correct answer is c.

Discrete numerical data refers to values that can only take on specific, separate, and distinct numerical values. These values typically represent counts or whole numbers and cannot be subdivided further.

In the context of the quiz, the number of questions answered correctly by students can only be whole numbers ranging from 0 to 10. Each possible value represents a distinct outcome and does not allow for intermediate values.

Discrete numerical data is different from continuous numerical data, which can take on any value within a certain range and allows for fractions or decimals. In the case of the quiz, if the scores were measured on a continuous scale (e.g., percentage), it would be considered continuous numerical data.

However, since the number of questions answered correctly is discrete and can only take specific values, it falls under the category of discrete numerical data. The correct answer is c.

Your question is incomplete but most probably your full question was

The numbers of questions answered correctly by various students on a 10 question quiz are an example of which type of data?

Neither

Discrete

Continuous

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The correct option is C. (4,7).

Given equations,

\(y=x+3....(1)\\3x+y=19....(2)\)

We have to solve the equations.

From equation 1 put the value of y in equation 2 we get,

\(3x+x+3=19\\4x=16\\x=4\\\)

Now putting the value of x in equation 1 we get,

\(y=4+3\\y=7\)

Hence the required solution of the above equations is (4,7).

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h = 11.9 cm

cos = adjacent/ hypotenuse

therefore:

cos(24) = h/ 13

rearrange:

h = 13cos(24)

put into calculator:

h = 11.8760...

rounded to one decimal point:

h = 11.9cm

Answer:

Step-by-step explanation:

so have a nice night!

If Nathan earns $6.50 an hour, plus tips, as a waiter in a restaurant, and he worked for 26 hours, then he must receive $60 in tips, to earn a total of $229 in that time period.

As per the question statement, Nathan earns $6.50 an hour, plus tips, as a waiter in a restaurant, and he worked for 26 hours.

We are required to calculate the amount of tips Nathan must receive to earn a total of $229, working for 26 hours.

To solve this question, we will first calculate the amount Nathan can earn from his regular salary rate, working for 26 hours, and then subtract that amount from $229 which he earned as his salary from the restaurant plus his tips while working for those 26 hours.

Therefore, Nathan will earn $(26 * 6.50) = $169 in his regular salary from the restaurant working for 26 hours.

But since Nathan earned a total of $229 working at the restaurant for the same 26 hours, the extra money over his salary must be the amount he earned in tips.

Therefore, Nathan received $(229 - 169) = $60 in tips, to earn a total of $229 working for 26 hours at the restaurant.

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Therefore, since a movement is set to start at T minus 80, the move will be completed at T plus 10 seconds.

The amount of rotations a shape can undergo around its center before returning to its initial position is referred to as the order of rotation in mathematics and geometry. It is also referred to as a shape's circular symmetry. A circle, for instance, has an order of rotation of infinite because it can be rotated indefinitely around its center without changing how it appears. A cube has an order of rotation of four because it will remain the same in shape whether it is rotated 90, 180, 270, or 360 degrees around its center.

given

At T minus 80 seconds, or 80 seconds prior to liftoff, the move is slated to start.

We must multiply the duration of the maneuver by the beginning time to determine the time at which it will be finished.

The move is estimated to take 1 and a half minutes. Since there are 60 seconds in a minute, we can change this to seconds by multiplying it by 60:

1 and a half minutes is equal to 1.5 minutes, 1.5 minutes multiplied by 60 seconds is equal to 90 seconds.

The move lasts 90 seconds as a result.

We multiply the duration of the move (90 seconds) by the start time (T minus 80 seconds) to determine the time at which the maneuver will be finished:

The move will be finished in T minus 80 seconds plus 90 seconds.

By adding the integers, we can make this simpler:

When the move is finished, the time will be T minus 80 seconds + 90 seconds + T plus 10 seconds.

Therefore, since a movement is set to start at T minus 80, the move will be completed at T plus 10 seconds.

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The chance that the hospital will run out of sleeping pills on any given day is 0.5000 (or 0.5000 with four decimal places).

To calculate the chance that the hospital will run out of sleeping pills on any given day, we can use the normal distribution and Z-score.

First, let's calculate the Z-score using the formula:

Z = (X - μ) / σ

Where:

X = consumption rate per day (1,155 pills)

μ = average consumption rate per day (1,155 pills)

σ = standard deviation (81 pills)

Z = (1,155 - 1,155) / 81

Z = 0

Now, we need to find the probability associated with this Z-score. However, since the demand for sleeping pills can be considered continuous and not discrete, we need to calculate the area under the curve from negative infinity up to the Z-score. This represents the probability of not running out of sleeping pills.

We discover that the region to the left of a Z-score of 0 is 0.5000 using a basic normal distribution table or statistical software.

To find the probability of running out of sleeping pills, we subtract this probability from 1:

Probability of running out of sleeping pills = 1 - 0.5000

Probability of running out of sleeping pills = 0.5000

Therefore, on any given day, the hospital has a 0.5000 (or 0.5000 with four decimal places) chance of running out of sleeping tablets.

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To calculate SAM and SOM, you need to follow the following steps:

1. SAM (Simple Arithmetic Mean): SAM is calculated by adding up all the values in a set of data and then dividing that sum by the number of values in the dataset.

Formula: SAM = (x1 + x2 + ... + xn)/n

Where x1, x2, ..., xn are the values in the dataset and n is the number of values in the dataset.

Example: If you have a dataset with the values 2, 4, 6, 8, 10, then the SAM would be (2+4+6+8+10)/5 = 30/5 = 6

2. SOM (Simple Geometric Mean): SOM is calculated by multiplying all the values in a set of data and then taking the nth root of that product, where n is the number of values in the dataset.

Formula: SOM = (x1 * x2 * ... * xn)^(1/n)

Where x1, x2, ..., xn are the values in the dataset and n is the number of values in the dataset.

Example: If you have a dataset with the values 2, 4, 6, 8, 10, then the SOM would be (2*4*6*8*10)^(1/5) = 3840^(1/5) = 5.16

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the relative rate of change of each species in the reaction can be determined using stoichiometry.

The stoichiometry of the reaction tells us that for every 3 moles of species A consumed, 2 moles of species C are produced. Therefore, the relative rate of change of species A can be calculated by multiplying the rate of the reaction (0.420 m/s) by the stoichiometric coefficient of A (-3), and dividing by the stoichiometric coefficient of C (2). Similarly, the relative rate of change of species B can be calculated by multiplying the rate of the reaction by the stoichiometric coefficient of B (-1) and dividing by the stoichiometric coefficient of C (2). The relative rate of change of species C is simply equal to the rate of the reaction.

the relative rate of change of each species in the reaction can be determined by applying stoichiometry. The relative rate of change of species A is (-0.630 m/s), the relative rate of change of species B is (-0.210 m/s), and the relative rate of change of species C is (0.420 m/s).

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Answer:

60

Step-by-step explanation:

All angles have to add up to 180

180/3 equals 60

Answer:

X= 60

Step-by-step explanation:

180÷3=60

gr yydaerhiopljteeqasf

When the cosine of an angle (0) is 3/5 and the angle lies in quadrant 4, the exact value of the sine of that angle is -4/5.

To find the exact value of sin(0), we can utilize the Pythagorean identity, which states that \(sin^2(x) + cos^2(x) = 1,\) where x is an angle in a right triangle. Since the terminal side of the angle (0) is in quadrant 4, we know that the cosine value will be positive, and the sine value will be negative.

Given that cos(0) = 3/5, we can determine the value of sin(0) using the Pythagorean identity as follows:

\(sin^2(0) + cos^2(0) = 1\\sin^2(0) + (3/5)^2 = 1\\sin^2(0) + 9/25 = 1\\sin^2(0) = 1 - 9/25\\sin^2(0) = 25/25 - 9/25\\sin^2(0) = 16/25\)

Taking the square root of both sides to find sin(0), we have:

sin(0) = ±√(16/25)

Since the terminal side of (0) is in quadrant 4, the y-coordinate, which represents sin(0), will be negative. Therefore, we can conclude:

sin(0) = -√(16/25)

Simplifying further, we get:

sin(0) = -4/5

Hence, the exact value of sin(0) when cos(0) = 3/5 and the terminal side of (0) is in quadrant 4 is -4/5.

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Note the correct and the complete question is

Q- Find the exact value of sin(0) when cos(0) =3/5 and the terminal side of (0) is in quadrant 4​ ?

Given:

Inequality is

Required:

Solve the inequality.

Explanation:

We have inequality greater than or equal to zero.

So, this can happen only when both numerator and denominator positive or negative.

Fraction will be positive when x less than or equal 1 and when x greater than 2.

So, it is

Answer:

Hence, option B is correct.

When Sarah cuts the rectangular sheet of paper in half, she creates two rectangles that are similar to the original one meaning that their corresponding sides are proportional.

When the corresponding sides of a rectangle are proportional, their ratio will always be the same.

Let the longer side of the original sheet of paper be x cm.

When Sarah cuts it in half, she obtains two rectangles with a shorter side of 23 cm and a longer side of :

x/2 cm.

Since these rectangles are similar to the original one, we have:

x/23 = (x/2)/(23/2)

We now get:

x = (23/2) * (x/23) * 2

x = 23 * (x/23)

x = 23

Therefore, the longer side of the original sheet of paper is 23 cm.

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Answer:

Dependent Event

Step-by-step explanation:

Assume that are 10 balls, such that:

\(Red = 6\)

\(Green = 4\)

If the balls are replaced after taken, the probability is:

\(Pr(Red) = 6/10\)

\(Pr(Green) = 4/10\)

This is referred to as independent event; because each selection do not affect the next or previous selection

However, if the balls are not replaced, the probability is:

\(Pr(Red) = 6/10\)

\(Pr(Green) = 5/(10 - 1) = 5/9\)

We subtracted 1 because there is a reduction in the number of balls when the red ball is not returned.

This is referred to as independent event; because a selection affects the next selection

The average rate of change, in simplest form, is -2/5.

What is average rate ?

Divide the change in y-values by the change in x-values to determine the average rate of change. Identifying changes in quantifiable parameters like average speed or average velocity calls for the knowledge of the average rate of change.

The rate of change of the function is its gradient or slope.

The formula for calculating the gradient of a function is expressed as:

\(m=\frac{d y}{d x}=\frac{y_2-y_1}{x_2-x_1}$$\)

Using the coordinate points from the table (0,41) and (15,35)

Substitute the coordinate into the expression:

\($$\begin{aligned}& m=\frac{35-41}{15-0} \\& m=\frac{-6}{15} \\& m=\frac{-2}{5}\end{aligned}$$\)

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The given exponential function equation is A = P(1+r)t, where P represents the principal amount, A represents the final amount, r represents the annual interest rate, and t represents the time in years.a.

The independent variable is t (time in years) while the dependent variable is A (final amount).b. The growth factor can be obtained by dividing A by P. Therefore, Growth factor = A/PLet us assume P=100, r=20%, and t=1. Then we can find A as follows:A = P(1+r)tA = 100(1+0.2)1A = 100(1.2)A = 120Therefore, the growth factor is:A/P = 120/100 = 1.2If we assume P=150, r=5%, and t=2, thenA = P(1+r)t = 150(1+0.05)2= 150(1.1025)= 165.375The growth factor is:A/P = 165.375/150 = 1.1025

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The linear optimization problem is to maximize the objective function 250x + 150y, subject to the constraints x + y ≤ 60, 3x + y ≤ 90, and 2x + y > 30, where x and y are both greater than or equal to 20.

The feasible region can be determined by graphing the constraints and finding the overlapping region that satisfies all the conditions. In this case, the feasible region is the area where the lines x + y = 60, 3x + y = 90, and 2x + y = 30 intersect. This region can be visually represented on a graph.

To find the corner points of the feasible region, we need to find the points of intersection of the lines that form the constraints. By solving the systems of equations, we can find that the corner points are (20, 40), (20, 60), and (30, 30).

The optimal solution and the optimal objective function value can be determined by evaluating the objective function at each corner point and selecting the point that yields the maximum value. By substituting the coordinates of the corner points into the objective function, we find that the maximum value is achieved at (20, 60) with an objective function value of 10,500.

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The total distance Linda will run is 0.4 + 0.4 + 0.7 = 1.5 kilometers,To solve this problem, let's assume that Linda will be participating in three field day events,

and we need to determine the area ofdistance she wants to run in total.

Given:

The total distance Linda wants to run is more than 1 kilometer but less than 1.5 kilometers.

Let's represent the distances of the three events as x, y, and z.

According to the given conditions, we can set up the following inequality:

1 < x + y + z < 1.5

Since we want the total distance to be more than 1 kilometer, we can also write it as:

x + y + z > 1

Now, let's consider the second condition. To ensure the total distance is less than 1.5 kilometers, we can write it as:

x + y + z < 1.5

So, the problem can be solved by finding values of x, y, and z that satisfy both inequalities.

There can be various combinations of x, y, and z that fulfill these conditions. For example, one possible solution could be:

x = 0.4 kilometers

y = 0.4 kilometers

z = 0.7 kilometers

With this combination, the total distance Linda will run is 0.4 + 0.4 + 0.7 = 1.5 kilometers, which satisfies both conditions.

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-7

本题已由中国数学会官方解答（现有会员：2人）

Answer:

28

Step-by-step explanation:

Plug into equation

Answer:

Well if x = 2 and y = 3 then that would be 28

Step-by-step explanation:

First replace the x with 2 and multiply it with 6 getting 12 and then do the same with 7y and turn the y into 3 multiply it getting 21 then you add that with the 12 we got and get 33 then subtract it by that 5 and finish with 28!

Answer:

$187,244

Step-by-step explanation:

$68,000 annual salary + 3.15% commission + fee of $4.25 per transaction

$68,000 + 0.0315 * $3,600,000 + $4.25 * 1,375 =

= $187,243.75

Answer: $187,244

Answer:

A) the diameter of the tank is approximately 7.74 meters.

B)  the new volume of the tank, when the radius and height are scaled up by 25%, is approximately 1897 cubic meters.

Step-by-step explanation:

Given:

Volume of the tank = 1659 cubic meters

Height of the tank (h) = 33 meters

We can rearrange the formula to solve for the radius (r):

V = (1/3) * π * r^2 * h

1659 = (1/3) * π * r^2 * 33

r^2 = (1659 * 3) / (33 * π)

r^2 ≈ 15

r ≈ √15

r ≈ 3.87 meters

The diameter of the tank is twice the radius:

Diameter = 2 * r

Diameter ≈ 2 * 3.87

Diameter ≈ 7.74 meters

Given:

Original radius (r) ≈ 3.87 meters

Original height (h) = 33 meters

Calculating the new dimensions:

New radius (r') ≈ 3.87 + 0.25 * 3.87

New height (h') ≈ 33 + 0.25 * 33

New volume (V') can be calculated using the formula for the volume of a cone:

V' = (1/3) * π * (r')^2 * (h')

Substituting the new dimensions into the formula:

V' = (1/3) * π * [(3.87 + 0.25 * 3.87)^2] * [(33 + 0.25 * 33)]

Calculating the new volume:

V' ≈ 1897 cubic meters (rounded to the nearest cubic meter)

Answer: To solve -x²-2x=0 by factoring, we can factor out x from the left-hand side:

x(-x-2) = 0

This equation is true if either x = 0 or -x-2 = 0. Solving for x in the second equation:

-x-2 = 0

-x = 2

x = -2

Therefore, the solutions to the equation -x²-2x=0 are x = 0 and x = -2.

To solve x²-4x-8--6x by factoring, we can simplify it first by combining like terms:

x²-10x-8 = 0

To factor this quadratic, we need to find two numbers that multiply to -8 and add to -10. These numbers are -2 and -8, so we can write:

x²-2x-8x-8 = 0

(x²-2x) - (8x+8) = 0

x(x-2) - 8(x+1) = 0

(x-8)(x-2) = 0

Therefore, the solutions to the equation x²-4x-8--6x are x = 8 and x = 2.

To solve 3x² +12=-21x-24 by completing the square, we first need to move all the terms to one side:

3x² + 21x + 36 = 0

Next, we divide both sides by 3 to simplify the coefficient of x²:

x² + 7x + 12 = 0

To complete the square, we need to add and subtract (7/2)² = 49/4 inside the parentheses:

x² + 7x + 49/4 - 49/4 + 12 = 0

(x + 7/2)² = 1/4

Taking the square root of both sides and solving for x, we get:

x + 7/2 = ±1/2

x = -7/2 ± 1/2

Therefore, the solutions to the equation 3x² +12=-21x-24 by completing the square are x = -4 and x = -3.

To solve -x²-3x-13 = -2x² by using the quadratic formula, we first need to move all the terms to one side:

-x² + x - 13 = 0

Next, we identify the coefficients a, b, and c:

a = -1, b = 1, c = -13

Substituting these values into the quadratic formula:

x = (-b ± sqrt(b² - 4ac)) / 2a

x = (-1 ± sqrt(1² - 4(-1)(-13))) / 2(-1)

x = (-1 ± sqrt(1 + 52)) / (-2)

x = (-1 ± sqrt(53)) / (-2)

Therefore, the solutions to the equation -x²-3x-13 = -2x² by using the quadratic formula are approximately x = -3.25 and x = 4.25.

Step-by-step explanation:

To determine whether the null (h₀) and alternative (h₁) hypotheses are set up correctly for a hypothesis test, we need to consider the specific pair of hypotheses provided.

Based on the information given, we cannot determine the exact hypotheses being referred to, as the question only mentions a drop-down menu. Therefore, we are unable to assess whether the hypotheses are valid or invalid. The question states that we need to decide whether the null (h₀) and alternative (h₁) hypotheses are correctly set up for a hypothesis test. However, the question does not provide any specific hypotheses or context to analyze.

Without knowing the specific pair of hypotheses, it is not possible to determine whether they are valid or invalid. It is important to have a clear understanding of the hypotheses being tested, the research question, and the desired outcome in order to assess the validity of the hypotheses.

In hypothesis testing, the null hypothesis typically represents the default or existing belief, while the alternative hypothesis represents the claim or new theory being tested. Without further information, it is not possible to determine the correctness of the hypotheses in question.

Without specific hypotheses provided, it is not possible to determine whether the null (h₀) and alternative (h₁) hypotheses are valid or invalid. It is crucial to have clear and specific hypotheses in order to conduct a hypothesis test and assess their validity.

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