Please help it’s the last question I have

The largest area that the farmer can enclose is 32metres²

Since, we have the farmer wants to build a rectangular pen, means that opposite  sides are of equal length.

So, let suppose the length of rectangular pen be x meters and width of rectangular pen as y meters.

We know that perimeter of rectangle is =2×(length + breadth)

Therefore, perimeter of rectangular pen =2x+y,and we are given the perimeter of rectangular pen in form of length of electric fence,

So,2x+y=16-------(eq1)

We know that area of rectangle=length × breadth

∴A=x × y

Now putting values of y from (eq1),we get

=>A=x×(16-2x)

For largest  area, we need to differentiate the area with respect to x and equate to it to equal to zero.

∴d(A)/dx=16-4x

=>16-4x=0

=>x=4metres

Therefore, y=16-2×4=8metres

Now, area of rectangular pen will be =x × y=4×8=32metres².

Hence, the largest area of rectangular pen  which will be bounded on one side by a river and on the other three sides by a single-strand electric fence is 32metres².

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Answer:

6 to the power of 4    6˄4

Step-by-step explanation:

Answer:

30 ≤ 4 • s

or

30 ≤ 6 • s

Measure exactly 100 ounces using the given cups with Capacities of 127 ounces, 21 ounces, and 3 ounces.

To measure exactly 100 ounces using the cups with capacities of 127 ounces, 21 ounces, and 3 ounces, you can follow the steps below:

1. Start by filling the 127-ounce cup completely with water.

2. Pour the water from the 127-ounce cup into the 21-ounce cup. This leaves 106 ounces (127 - 21) in the 127-ounce cup.

3. Empty the 21-ounce cup.

4. Pour the remaining 106 ounces from the 127-ounce cup into the 21-ounce cup. This fills the 21-ounce cup completely and leaves 85 ounces (106 - 21) in the 127-ounce cup.

5. Empty the 21-ounce cup.

6. Pour the 85 ounces from the 127-ounce cup into the 21-ounce cup. This fills the 21-ounce cup and leaves 64 ounces (85 - 21) in the 127-ounce cup.

7. Empty the 21-ounce cup.

8. Pour the 21 ounces from the 127-ounce cup into the 21-ounce cup. This fills the 21-ounce cup completely and leaves 43 ounces (64 - 21) in the 127-ounce cup.

9. Empty the 21-ounce cup.

10. Pour the 43 ounces from the 127-ounce cup into the 21-ounce cup. This fills the 21-ounce cup and leaves 22 ounces (43 - 21) in the 127-ounce cup.

11. Empty the 21-ounce cup.

12. Pour the 3 ounces from the 127-ounce cup into the 3-ounce cup. This fills the 3-ounce cup completely and leaves 19 ounces (22 - 3) in the 127-ounce cup.

13. Empty the 3-ounce cup.

14. Pour the 19 ounces from the 127-ounce cup into the 3-ounce cup. This fills the 3-ounce cup and leaves 16 ounces (19 - 3) in the 127-ounce cup.

15. Finally, pour the 16 ounces from the 127-ounce cup into the 21-ounce cup. Now, the 21-ounce cup contains 16 ounces, and the desired 100 ounces is left in the 127-ounce cup.

By following these steps, you can measure exactly 100 ounces using the given cups with capacities of 127 ounces, 21 ounces, and 3 ounces.

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Answer:

7 is the median

The probability that randomly selected mechanical component weighs: more than 11.5 lbf is 0.0099, less than 8.7 lbf is 0.3208,  less than 5.0 lbf is 0.0228, between 6.2 lbf and 7.0 lbf is 0.1314, between 10.3 lbf and 14.0 lbf is 0.0436, between 6.8 lbf and 8.9 lbf is 0.3464.

We can use the standard normal distribution and z-scores to answer these questions:

P(X > 11.5) = P(Z > (11.5 - 8) / 1.5) = P(Z > 2.33) = 0.0099

Therefore, the probability that a randomly selected mechanical component weighs more than 11.5 lbf is 0.0099, or about 1%.

P(X < 8.7) = P(Z < (8.7 - 8) / 1.5) = P(Z < 0.47) = 0.3208

Therefore, the probability that a randomly selected mechanical component weighs less than 8.7 lbf is 0.3208, or about 32%.

P(X < 5.0) = P(Z < (5 - 8) / 1.5) = P(Z < -2) = 0.0228

Therefore, the probability that a randomly selected mechanical component weighs less than 5.0 lbf is 0.0228, or about 2%.

P(6.2 < X < 7.0) = P((6.2 - 8) / 1.5 < Z < (7 - 8) / 1.5) = P(-1.2 < Z < -0.67) = 0.1314

Therefore, the probability that a randomly selected mechanical component weighs between 6.2 lbf and 7.0 lbf is 0.1314, or about 13%.

P(10.3 < X < 14.0) = P((10.3 - 8) / 1.5 < Z < (14 - 8) / 1.5) = P(1.53 < Z < 2.67) = 0.0436

Therefore, the probability that a randomly selected mechanical component weighs between 10.3 lbf and 14.0 lbf is 0.0436, or about 4%.

P(6.8 < X < 8.9) = P((6.8 - 8) / 1.5 < Z < (8.9 - 8) / 1.5) = P(-0.47 < Z < 0.60) = 0.3464

Therefore, the probability that a randomly selected mechanical component weighs between 6.8 lbf and 8.9 lbf is 0.3464, or about 35%.

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____The given question is incomplete, the complete question is given below:

Suppose that the weight of a mechanical component is normally distributed with mean p = 8.0 Ibf and standard deviation = 1.5 lbf. Answer the following questions: 1. If you randomly select a mechanical component, what is the probability that it weighs more than 11.5 lbf? 2. If you randomly select a mechanical component, what is the probability that it weighs less than 8.7 lbf? 3. If you randomly select a mechanical component, what is the probability that it weighs less than 5.0 lbf? 5. If you randomly select a mechanical component, what is the probability that it weighs between 6.2 lbf and 7.0 lbf? 6. If you randomly select a mechanical component, what is the probability that it weighs between 10.3 lbf and 14.0 lbf? 7. If you randomly select a mechanical component, what is the probability that it weighs between 6.8 lbf and 8.9 lbf?

The area of the circle is 1790.49 centimeters square

To calculate the area of the circle, we shall need the radius of the circle

We can get the radius from the arc length

Mathematically, the length of an arc is;

From the question, the length is 15 cm while the central angle is 36

Thus we have;

Mathematically, the area of the circle will be;

The best estimate for the weight of a cantaloupe is 2 kilograms (B).

A decigram is 1/10th of a gram, which would be too small of weight for a cantaloupe. 2 grams (C) is also too small for a cantaloupe as it would only be the weight of a few small seeds. 2 milligrams (D) is an extremely small weight, only suitable for a single grain of salt or a tiny insect.

Therefore, 2 kilograms (B) is the most reasonable estimate for the weight of a cantaloupe as it falls within the typical range of cantaloupe weights.

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Complete Question:

Choose the best estimate for the weight of a cantaloupe. Responses

A 2 decigrams

B 2 kilograms

C 2 grams

D 2 milligrams

The type of graph that would be useful for determining if this is true is a scatter plot.

A scatter plot is a type of graph that displays the relationship between two variables. It is a collection of data points, where each point represents the value of two different variables for a single observation.

In a scatter plot, the two variables are plotted on the x-axis (horizontal axis) and y-axis (vertical axis).

A scatter plot would be a useful type of graph for determining if there is a relationship between students who can say all of their multiplication facts in under two minutes and their performance on three-digit by two-digit division.

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When the sample is given, the number of elk are likely to be infected is to be considered as the 1,215.

Since the population is 6,750.

The random sample is 50.

So here be like

\(6750\) ÷ \(50\) × \(9\)

= 1,215

hence, When the sample is given, the number of elk are likely to be infected is to be considered as the 1,215.

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Answer:

Step-by-step explanation:

If Ellen mixed \(\frac{1}{4}\)kg of flour with \(\frac{2}{9} kg\) of sugar together, the reasonable estimate for the amount of flour and sugar combined can be gotten by taking the sum  of both masses of ingredients as shown;

Mass of flour = \(\frac{1}{4}kg\\\)

MAss of sugar = \(\frac{2}{9} kg\)

Combined masses = \(\frac{1}{4}+\frac{2}{9}\)

\(= \frac{9+8}{36} \\= \frac{17}{36}kg\)

The amount of flour and sugar combined is 17/36 kg

Answer:

1. C

2. E

3. D

4. B

5. A

Hope This Helps!!!

Answer:

4 -2,3 -4,2 -5,5 -1,1 -3

I hope this helps you

Answer:

first thing: 1/2=2/4

then we change -3/4+1/2 to -3/4+2/4 (it's the same thing)

then it's gonna be -3+2/4

answer= -1/4

The following are crucial factors in hypothesis testing:

In statistics, the process of hypothesis testing involves putting an analyst's presumption about a population parameter to the test.

Thus, before conducting the hypothesis testing, a null hypothesis as well as an alternative hypothesis are established.

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The measure of the smallest angle of the quadrilateral is  60° .

In the question ,

it is given that ,

the angle measure of the quadrilateral are in the ratio 4 : 5 : 6 : 9 .

So , the measure of the largest angle is = 9x

and the measure of the smallest angle is = 4x .

we know that the sum of the measure of all the angles of the quadrilateral is 360° .

that means ,

4x + 5x + 6x + 9x = 360°

24x = 360

dividing both sides by 24 ,

x = 360/24

x = 15 .

the smallest angle is = 4(15) = 60°

Therefore ,  The measure of the smallest angle of the quadrilateral is  60° .

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A dataset's mean (also known as the arithmetic mean, which differs from the geometric mean) is calculated by dividing the sum of all values by the total number of values. The term "average" is frequently used to describe this measure of central tendency.

What does the mode mean?

By summing all the numbers in a data collection and dividing by the total number of values in the set, the mean (average) of the data set can be determined.

              A data collection is ordered from least to largest, and the median is the midpoint number. A data set's mode is the number that appears the most frequently.

What are the mean, median, and example?

The most frequent number, or the one that happens the most frequently, is known as the mode.

                      Example: Since the number 2 appears three times, more than any other number, it is the mode of the numbers 4, 2, 4, 3, and 2.

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Answer:

#1) Write a function to model population growth. Use a graph to predict when the population will reach 20, 000.

Answer: In this case what you have to do is use an exponential growth equation. In short the correct function that will model this population growth of 14% each year is P(t) = 350(1.14)^t and the population will reach 20,000 in about 31 years.

I hope it helps,

Step-by-step explanation:

plz mark brainlyest

Answer: A = (1m/3)^2 or A= (1/3)^2 m

Or A= (1/3)(1/3)

Step-by-step explanation:

No choices given, but it will look like one these answers.

The area of a square that has a side length of 1/3 meter is 1/9 square meter.

I hope this helps you.

Answer:

a= (1/3)(1/3)

Step-by-step explanation:

By solving matrices  we get,

\(A+B= \left[\begin{array}{ccc}13&10\\4&7\\7&5\end{array}\right] , C-B=\left[\begin{array}{ccc}-8&1\\-7&4\\3&-5\end{array}\right] \\\\\\\\A+B+C = \left[\begin{array}{ccc}13&14\\2&12\\14&-6\end{array}\right]\)

A matrix is a rectangular array or table that contains numbers, symbols, or expressions that are arranged in rows and columns to represent a mathematical object or a characteristic of such an entity. As an illustration, consider a matrix with two rows and three columns.

Adding matrices, subtracting matrices, and multiplying matrices are the three algebraic operations that make up the majority of matrix operations. Array of numbers or expressions arranged in rows and columns is called a matrix. The field of mathematics has several useful uses for matrices.

Here the matrices A, B and C are given in the question, so we use matrix addition and matrix subraction operations to solve the question.  

When solving by using the matrices solving method we get

\(A+B=\left[\begin{array}{ccc}5&7\\-1&6\\3&-9\end{array}\right] +\left[\begin{array}{ccc}8&3\\5&1\\4&4\end{array}\right]= \left[\begin{array}{ccc}5+8&7+3\\-1+5&6+1\\3+4&-9+4\end{array}\right]=\left[\begin{array}{ccc}13&10\\4&7\\7&5\end{array}\right] \\\)

\(C-B = \left[\begin{array}{ccc}0-8&4-3\\-2-5&5-1\\7-4&-1-4\end{array}\right] =\left[\begin{array}{ccc}-8&1\\-7&4\\3&-5\end{array}\right]\)

\(A+B+C= \left[\begin{array}{ccc}5+8+0&7+3+4\\-1+5+-2&6+1+5\\3+4+7&-9+4+-1\end{array}\right] = \left[\begin{array}{ccc}13&14\\2&12\\14&-6\end{array}\right]\)

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3.1 To derive the demand functions for donuts (q1) and coffee (q2), we need to maximize Maria's utility subject to her budget constraint. The budget constraint is given by p1*q1 + p2*q2 = M, where p1 and p2 are the prices of donuts and coffee, respectively, and M is Maria's weekly allowance.

To maximize utility, we set up the Lagrangian function:

L = U - λ(p1*q1 + p2*q2 - M)

Taking partial derivatives with respect to q1, q2, and λ, we get:

∂L/∂q1 = 20q1*q2 - λp1 = 0

∂L/∂q2 = 10q1^2 - λp2 = 0

∂L/∂λ = p1*q1 + p2*q2 - M = 0

From the first two equations, we can solve for λ:

20q1*q2 / λp1 = 10q1^2 / λp2

2q2 / p1 = q1 / p2

Substituting this into the budget constraint, we have:

p1*q1 + p2*(2q1/p1) = M

p1^2*q1 + 2p2*q1 = p1*M

q1 = p1*M / (p1^2 + 2p2)

Similarly, we can find q2:

q2 = (2q1 / p1) * (p1 / p2)

q2 = 2q1 / p2

Therefore, the demand function for donuts is q1 = p1*M / (p1^2 + 2p2), and the demand function for coffee is q2 = 2q1 / p2.

3.2 Given that p1 = $10, p2 = $5, and Maria's weekly allowance M = $90, we can substitute these values into the demand functions to find the optimal consumption of donuts and coffee:

q1 = (10*90) / (10^2 + 2*5) = 6

q2 = 2q1 / 5 = 2(6) / 5 = 2.4

Therefore, her optimal consumption is 6 donuts and 2.4 cups of coffee.

3.3 If Maria's weekly allowance increases to $120, the new optimal consumption can be calculated using the demand functions:

q1 = (10*120) / (10^2 + 2*5) ≈ 7.2

q2 = 2q1 / 5 = 2(7.2) / 5 ≈ 2.88

Similarly, when her weekly allowance increases to $150:

q1 = (10*150) / (10^2 + 2*5) ≈ 9

q2 = 2q1 / 5 = 2(9) / 5 = 3.6

To draw the Income Offer Curve, we can plot the combinations of q1 and q2 for different levels of Maria's weekly allowance on a graph. The x-axis represents the quantity of donuts (q1), and the y-axis represents the quantity of coffee (q2). We connect the optimal bundles obtained for each level of allowance, creating a curve that represents Maria's choices as her income changes.

3.4 The Engel Curve shows the relationship between income and the quantity demanded of a good while holding prices constant. By using the optimal consumption bundles for different levels of Maria's weekly allowance, we can plot the Engel Curve for

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Answer:

the common factor is b since it is divisible by both 2b and 5b

Step-by-step explanation:

Given:

Total number of students surveyed= 122

Studied in the cafeteria = 79

Studied in the student union = 56

Studied in both the student union and cafeteria = 24

To find:

Number of student those are did not study in either the cafeteria or the student union.

Solution:

Let A be the event that student studied in the cafeteria.

B be the event that student studied in the student union.

According to the question,

\(n(S)=122\), where S is sample space.

\(n(A)=79\)

\(n(B)=56\)

\(n(A\cap B)=24\)

Now,

\(n(A\cup B)=n(A)+n(B)-n(A\cap B)\)

\(n(A\cup B)=79+56-24\)

\(n(A\cup B)=111\)

So, 111 students studied in either the student union or cafeteria.

\(n(A\cup B)=n(S)-n(A\cup B)\)

\(n((A\cup B)')=122-111\)

\(n((A\cup B)')=11\)

Therefore, 11 students not study in either the cafeteria or the student union.

The distance between base of tree and swing set is 24 feet.

We are given the angle of depression and the vertical height. Joining the three points, which are top and base of tree and swing set forms a right angled triangle. The height of tree will be perpendicular of triangle and base will be the distance between base of tree and swing set.

The angle at the swing set will be equal to 30.26°, as alternate angles are equal.

So, the angle formed can be related with perpendicular and base by -

tan theta = perpendicular ÷ base

Keep the values in formula to find the value of base

Base = perpendicular ÷ tan theta

Base = 14 ÷ tan 30.26°

Base = 14 ÷ 0.5834

Performing division

Base = 24

Hence, the distance between  base of tree and swing set is 24 feet.

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The answer is B. anticipatory socialization. Aman's anticipation and excitement about his new role as a computer scientist indicate his engagement in anticipatory socialization.

Anticipatory socialization refers to the process through which individuals learn and internalize the values, norms, and behaviors associated with a future role or status they aspire to have. In this case, Aman's graduation from college and his upcoming job as a computer scientist represent a transition to a new role.

As he looks forward to this new position, he is likely engaging in activities such as researching the company, learning about the responsibilities of a computer scientist, and acquiring the necessary skills to excel in his job. By doing so, Aman is preparing himself and adjusting his attitudes and behaviors to fit the expectations of his future role, which characterizes anticipatory socialization.

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The complete question is:

Aman is graduating from college and looking forward to his new role in his job as a computer scientist for a large firm. This is an example of

A.the imagination stage

B.anticipatory socialization.

C.the game stage.

D.looking-glass self

Answer:

tjtjtjtjtfjftjtjftjtftftftftftftftftftftftftftfjtt

Step-by-step explanation:

Answer:

x=12

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

x

=

12

I think this correct sorry if I am wrong, if I am right please mark brainleist!

Examples of such data include stock prices, economic indicators, and meteorological data such as temperature, wind speed, and barometric pressure.

These types of data often have a trend or pattern, but the difference between the data points has meaning and does not necessarily have a defined starting point.

1. Data where the difference between data values has meaning but there is no defined starting point can be defined as data that is not linearly dependent.

2. Examples of such data include stock prices, economic indicators, and meteorological data. These types of data often have a trend or pattern, but the difference between the data points has meaning and does not necessarily have a defined starting point.

3. Stock prices, economic indicators, and meteorological data all have different scales and can move in different directions, making it difficult to track the exact difference between data points.

4. Despite this, these types of data still allow for meaningful analysis and can be used to make predictions and draw conclusions.

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Answer:

I used a calculator.

Step-by-step explanation:

mixed number form 3 1/3

exact form 10/3

Answer:

a = -1

Step-by-step explanation:

\(1 - {x}^{2} \)

The original form of the quadratic equation is:

\(a {x}^{2} + bx + c = 0\)

Let's write the given equation in this form:

\( - {x}^{2} + 1 = 0\)

a = -1;

b = 0

c = 1

The statement 3 more than 7 means, a number is 3 more than a given number. Since here the number is 7 so the required number will be 7+3= 10

In numerical more than simply refers to adding and less than refers to subtracting. If it is given that a number let's say Z is Y more than X then the value will be Z= X+Y

If a given number let's say Z is Y less than X then the value of Z will be

Z=X-Y

More than means add which gives us a bigger value. Less than means subtract which gives us a smaller value

So, 3 more than 7 means 7+3 = 10

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