Please help it is URGENT!
−12−128÷2÷4^2=

The equation that satisfies the data in the table is,

y = -4x - 4 [Option D]

Definition of an Equation:

An equation is defined as a mathematical assertion in which you use mathematical symbols to demonstrate the equality of two amounts. A combination of expressions with variables and constants on either side of the equality sign make up an equation.

The (x, y) coordinates from the given table are,

(-1,0), (0, -4), (1, -8)

Now, these points must satisfy the required equation.

Considering the first point (-1, 0), if we substitute these values of x and y coordinates in y=4x-4, the equality is no longer maintained.

Similarly, (-1,0) does not satisfy the second and third equations, that are, y = -x + 4 and y = x + 4, respectively, either.

Taking the fourth equation, y = -4x - 4

Putting x = -1 in this equation, we get,

y = -4(-1) - 4

y = 4 - 4

y = 0

Likewise, this equation satisfies the rest of the data in the table too.

Therefore, y = -4x - 4 is the required equation.

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The valuable insights into complex phenomena like obesity and type 2 diabetes.

The measurement being employed in this scenario is quantitative measurement. Specifically, the researcher is measuring the weight of individuals, which is a numerical value that can be quantified and analyzed statistically.
Quantitative measurement involves collecting numerical data and using statistical methods to analyze and interpret the results. This type of measurement allows researchers to quantify variables and identify patterns, trends, and relationships between different variables.
In the context of this study on obesity and type 2 diabetes, measuring weight is a crucial component of understanding the relationship between these two variables. By collecting weight data from individuals with these conditions, the researcher can analyze the data to determine if there is a correlation between weight and the likelihood of developing type 2 diabetes.
Overall, quantitative measurement is an important tool for researchers in many different fields. It allows them to collect objective data and use statistical methods to analyze and interpret the results, providing valuable insights into complex phenomena like obesity and type 2 diabetes.

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Answer:

x = 0.781 acres

Step-by-step explanation:

The strawberry field covers 3 1/8 acres = 25/8 acres

New plants cover 1/4 of those acres

We need to find how many acres are covered by new strawberry plants. Let it is x.

\(x=3\dfrac{1}{8}\times \dfrac{1}{4}\\\\=\dfrac{25}{8}\times \dfrac{1}{4}\\\\=0.781\ \text{acres}\)

So, the new plant covers 0.781 acres by the strawberry plants.

Answer:

0.25

Step-by-step explanation:

The median number of newspapers sold over seven weeks is 223.

The median is the middle score for a data set arranged in order of magnitude. The median is less affected by outliers and skewed data.

The formula for the median is as follows:

Find the median number of newspapers sold. (87, 87, 215, 154, 288, 235, 231)

We'll first arrange the data in ascending order.87, 87, 154, 215, 231, 235, 288

The median is the middle term or the average of the middle two terms. The middle two terms are 215 and 231.

Median = (215 + 231)/2

= 446/2

= 223

In statistics, the median measures the central tendency of a set of data. The median of a set of data is the middle score of that set. The value separates the upper 50% from the lower 50%.

Hence, the median number of newspapers sold over seven weeks is 223.

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Answer:

c

Step-by-step explanation:

yeshhhhhhhhhjjhhuhj

Answer:

I think It's A what do you think??

Step-by-step explanation:

Answer:

c/6 ≥ -20

Step-by-step explanation:

The quotient of c and 6 basically means c divided by 6 (minor note: we also go by the order it's written in). We place in '≥' in this inequality because, greater than means '>' and the line underneath it signifies an equal to sign, and as a result of this, we get -20.

Answer:

it is an identity that was solved

Step-by-step explanation:

cosin - the a

Answer:true

Step-by-step explanation:

its true i think

Answer:

False because the absolute value is always going to be positive.

Step-by-step explanation:

The estimated minimum and maximum people who don't watch television in the town would be :

According to the survey, 55% of the 2000 people surveyed said they don't watch TV during the week.  When applied to the population of the town, we are therefore looking at 55 % not watching tv during the week.

However, we are given a margin of error of 2. 9 % which means the minimum people who abstain from television in the week are:

= ( 55 % - 2. 9 % ) x 28, 408

= 14, 801 people

The maximum would be :

= ( 55 % + 2. 9 % ) x 28, 408

= 16, 448 people

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The functions for this problem are classified as follows:

A function is classified as exponential if when the input variable is changed by one, the output variable is multiplied by a constant.

A function is classified as linear if when the input variable is changed by one, the output variable is increased/decreased by a constant.

For the land function, the rates are given as follows:

The differences are given as follows:

Neither are exactly the same, however the variations for the differences are less, meaning that it can be classified as a linear function.

For the car, the rates are given as follows:

The differences are given as follows:

Again less change on the differences, hence also linear.

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Answer:

I am not 100% sure but i think it is A.

The positive difference between the two probabilities is 11/35.

To calculate the probability that three distinct numbers chosen at random without replacement from the set would have an even sum, Jan would consider the number of ways to choose three even numbers (4 choose 3) and divide that by the total number of combinations of three numbers (7 choose 3).

To calculate the probability that three distinct numbers chosen at random without replacement from the set would have an even product, Judy would consider the number of ways to choose three numbers such that the product is even (3 choose 2) and divide that by the total number of combinations of three numbers (7 choose 3).

The positive difference between the two probabilities would be the difference between these two calculations. In this case, 11/35 is a positive difference, meaning that the probability of having an even product is 11/35 higher than the probability of having an even sum.

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Answer:

im not good with math sorry :(

Step-by-step explanation:

Given the topological spaces X = {D, O, R, K} with the topology Tx and Y = {M, A, T, H} with the topology Jy, we are asked to determine whether the set E = {0, K} is open in X and open in Y.

To determine whether the set E = {0, K} is open in the topological spaces X and Y, we need to check if E belongs to the respective topologies, Tx and Ty.

In X, the topology Tx is given by: Tx = {Ø, {0}, {D, O}, {O, R}, {D, O, R}, X}. We can see that E = {0, K} is not explicitly listed in Tx. Therefore, E is not open in X since it does not belong to the topology.

In Y, the topology Ty is given by: Jy = {0, {M}, {M, A}, {M, A, T}, Y}. Again, E = {0, K} is not explicitly listed in Ty. Hence, E is not open in Y as it does not belong to the topology.

In both cases, the set E = {0, K} is not open in the respective topological spaces X and Y because it is not a member of the defined topologies.

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Answer:

-5m - 14

Step-by-step explanation:

\(-8m-8+3m-6\\-5m-14\)

The number of bread rolls that can be made in five batches is 240 rolls

the given parameters that can help us to determine the number of bread rolls are

Mr. Sam uses 12 cups of flour to make a batch of bread rolls

12 cups = 1 batch

Also, Each roll is made from 1/4 cup of flour

1/4 cup = 1 roll

this implies that  five batches = 12 * 5 = 60 cups

Now if 1/4 cup = 1 roll,

60 cups will give 60*4 = 240 rolls

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We will determine how to evaluate a function with respect to an input value.

A function is defined as a mathematical relationship between the input and output. Where the function gives the output but depends on the input value. The relationship of a function is defined in terms of the input variable as follows:

The above function g ( n ) depends on the input variable ( n ). The relationship is mathematically expressed in terms of the input variable ( n ).

We are to evaluate the above function g ( n ) for the input value of n = -3. We will simply substitute the value of ( n )-input variable in the expressed relationship as follows:

The output value corresponding to the input of the function g ( -3 ) is :

The total cost functions associated with the two different methods for wrecking cars are as follows: 1. Method 1 (Hydraulic Car Crusher):

Total Cost = $2000 + $10 * Number of Cars

2. Method 2 (Fancy Shovel and Scoop):

Total Cost = $100 + $50 * Number of Cars

The average cost of each method can be calculated by dividing the total cost by the number of cars. For Method 1, the average cost is $10 per car ($2000 divided by the number of cars). For Method 2, the average cost is $50 per car ($100 + $50 per car).

The marginal cost represents the additional cost incurred by producing one more unit (car) using each method. In Method 1, the marginal cost is a constant $10 per car, as each additional car adds the same cost of $10. In Method 2, the marginal cost is $50 per car, as each additional car requires the payment of $50 to Rex's brother, Scoop.

To determine which method minimizes the cost of wrecking k cars per year, we need to compare the average cost for each method. If k is less than 40, Method 1 (Hydraulic Car Crusher) will have a lower average cost of $10 per car. If k is greater than or equal to 40, Method 2 (Fancy Shovel and Scoop) will have a lower average cost of $50 per car.

If the price for wrecking cars is $100 per car, the profit per car is given by the price minus the average total cost (ATC). For Rex, if p > ATC, which is $10, he will have a positive profit. Therefore, for Rex to have a positive profit, p must be greater than $10. Similarly, for Scoop, if p > ATC, which is $50, he will have a positive profit. Therefore, for Scoop to have a positive profit, p must be greater than $50.

In summary, if the number of cars wrecked per year (k) is less than 40, Rex should use Method 1 (Hydraulic Car Crusher) as it has a lower average cost. If k is greater than or equal to 40, Rex should use Method 2 (Fancy Shovel and Scoop) as it has a lower average cost. If the price for wrecking cars (p) is greater than $10, Rex will have a positive profit, and if the price is greater than $50, Scoop will have a positive profit.

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Kernel of T is {(a,-a,-a/2) : a ∈ R}

i)Kernel of T is the solution set of the equation T(x) = 0.

We need to find the kernel of T and hence solve the equation T(x) = 0.

T(x) = 0 means that T(a,b,c) = 0 + 0x + 0x2

                                             = 0

                                             = (3a+3b)+(−2a+2b−2c)x+a2

Therefore, 3a + 3b = 0 and -2a + 2b - 2c = 0.

We can solve these equations to get a = -b and c = -a/2.

Hence, the kernel of T is given by the set{(a,-a,-a/2) : a ∈ R}.

ii) Range of T

We need to determine whether the polynomial p(x) = 1 - 2x + 2x2 belongs to the range of T or not.

In other words, we need to solve the equation T(a,b,c) = 1 - 2x + 2x2 for some values of a, b, and c.

T(a,b,c) = 1 - 2x + 2x2 means that

(3a+3b) = 1,

(-2a+2b-2c) = -2, and

a2 = 2.

Solving these equations,

we get a = 1, b = -2, and c = 0.

Hence, the polynomial p(x) = 1 - 2x + 2x2 belongs to the range of T.

iii) Nullity and Rank of T

Nullity of T is the dimension of the kernel of T.

From part (i), we have seen that the kernel of T is given by the set {(a,-a,-a/2) : a ∈ R}.

We can choose a basis for the kernel of T as {(1,-1,-1/2)}.

Therefore, nullity of T is 1.

Rank of T is the dimension of the range of T.

From part (ii), we have seen that the polynomial p(x) = 1 - 2x + 2x2 belongs to the range of T.

Since p(x) is a polynomial of degree 2, it spans a 3-dimensional subspace of P2​.

Therefore, rank of T is 3 - 1 = 2.

Kernel of T is {(a,-a,-a/2) : a ∈ R}.Yes, 1 - 2x + 2x2 belongs to the range of T.

Nullity of T is 1.

Rank of T is 2.

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Answer:

Your hourly rate is about 19.12 (19.1175699301 rounded to the nearest hundredth)

Step-by-step explanation:

44 × 52 = 2288, 43,741 ÷ 2288 = 19.1175699301. Btw we round to the nearest hundredth because you can't have part of a cent

Answer:

10.78 , 11 pallets

Step-by-step explanation:

24.5 x 22 divided by 50 + 10.78

Germany will export cars and import wine when X (the time required to produce a case of wine in France) is less than 3, indicating that France has a comparative advantage in wine production and Germany has a comparative advantage in car production.

a) To determine the values of X for which gains from trade are possible, we need to compare the opportunity costs of car and wine production between Germany and France. The opportunity cost is the ratio of the number of hours required to produce one unit of one good to the number of hours required to produce one unit of the other good.

For Germany, the opportunity cost of producing a car is 400 hours/2 hours = 200 cases of wine per car.

For France, the opportunity cost of producing a car is 600 hours/X hours = 600/X cases of wine per car.

Gains from trade occur when the opportunity costs differ between countries, allowing them to specialize in the production of goods with lower opportunity costs and trade with each other. In this case, Germany has a lower opportunity cost of producing cars compared to wine (200 < 600/X), while France has a lower opportunity cost of producing wine compared to cars (600/X < 200).

To ensure gains from trade, Germany will specialize in car production, and France will specialize in wine production. Therefore, for gains from trade to be possible, the value of X must lie between the opportunity costs of car production for Germany and France, which is 200 < X < 600.

b) Germany will export cars and import wine when it has a comparative advantage in car production (lower opportunity cost) and France has a comparative advantage in wine production (lower opportunity cost).

Since Germany's opportunity cost of producing a car is 200 cases of wine per car, it will export cars if the opportunity cost of wine production in France (600/X) is higher than 200. Therefore, for Germany to export cars and import wine, the value of X must satisfy the condition 600/X > 200, which simplifies to X < 3.

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Answer:

the answer would be y^6/x^2

Step-by-step explanation:

so (Y) to the sixth power over (X) to the second power

This integral is quite complex and does not have an analytical solution is 2pi ∫\(0^2\) \(e^{-r sin(\theta)\)) r (1 - 2\(r^2\)\(cos^{2}(\theta)\) (2\(-r^2\)) dr dtheta

To evaluate the triple integral of e^(x-y) over the region enclosed by the surfaces z=\(x^2-1, z=1-x^2, y=0,\) and y=8, we will use the cylindrical coordinates since the region is symmetric about the z-axis.

In cylindrical coordinates, we have:

x = r cos(theta)

y = r sin(theta)

z = z

The limits of integration for r, theta, and z are as follows:

0 <= r <= 2

0 <= theta <= 2pi

\(x^2\)-1 <= z <= 1-\(x^2\)

Substituting the cylindrical coordinates into the integral, we get:

∫∫∫ e^(x-y) dv = ∫∫∫ \(e^{(r cos(\theta) - r sin(\theta))\)r dz dr dtheta

Now, we need to determine the limits of integration for z in terms of r. Solving for z in the two equations that define the boundaries of the region, we get:

z =\(x^2\)- 1 -> z = \(r^2\)\(cos^2(\theta)\) - 1

z = 1 - \(x^2\) -> z = 1 - \(r^2\) \(cos^2(\theta)\))

Thus, the limits of integration for z become:

\(r^2 cos^2\)(theta) - 1 <= z <= 1 -\(r^2\) \(cos^2(\theta)\)

Substituting these limits into the integral and performing the integrations, we get:

∫∫∫ \(e^{r cos(\theta)\) - r sin(theta)) r (1 - \(r^2\) \(cos^2(\theta)\)) - \(r^2\) \(cos^2(\theta))\) dz dr dtheta

= ∫\(0^8\)∫\(0^2\)pi ∫\(0^2\) \(e^{r cos(\theta)\) - r sin(theta)) r (1 - 2\(r^2\) \(cos^2(\theta))\)dz dr dtheta

= 2pi ∫\(0^2\) \(e^{-r sin(\theta))\)r (1 - 2\(r^2\) \(cos^2(\theta))\) (2-\(r^2\)) dr dtheta

This integral is quite complex and does not have an analytical solution. Therefore, we need to evaluate it numerically using a computer or calculator.

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To find the probability, we need to know the mean and standard deviation of blood pressure in China, calculate the Z-score for 70.5 mmHg, and find the corresponding area under the standard normal curve.

The final probability will depend on the specific values of μ and σ.

To find the probability that a randomly selected person in China has a blood pressure that is at most 70.5 mmHg, we need to consider the distribution of blood pressure values in the population. Let's assume that the distribution follows a normal distribution.

To calculate the probability, we need to know the mean and standard deviation of blood pressure in China. Let's say the mean blood pressure is μ and the standard deviation is σ.

Using the Z-score formula, we can convert the blood pressure value of 70.5 mmHg into a Z-score. The Z-score represents the number of standard deviations a data point is from the mean.

Then, we can use a Z-table or a calculator to find the area under the standard normal curve corresponding to the Z-score. This area represents the probability of having a blood pressure at most 70.5 mmHg.

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