Please help me if can, tysm

Therefore,  the dimensions that minimize the cost to build the fence around the fencing are 20 m by 10 m.

To minimize the cost of fencing a rectangular field of 200 m2, we need to find the dimensions with the least total cost. Let's use the variables x and y for the length and width of the field, respectively. The area of the field is A = xy = 200 m2.
First, we'll find an equation relating x and y using the area: y = 200/x.
Next, we'll find the cost equation: Cost = 3x + 3x + 8y + 8y = 6x + 16y.
Now, substitute y in the cost equation: Cost = 6x + 16(200/x).
To minimize the cost, we'll find the derivative of the cost function with respect to x and set it equal to zero:
d(Cost)/dx = 6 - 3200/x^2 = 0.
Solving for x, we get x = 20 m. Then, using y = 200/x, we find y = 10 m.
Therefore,  the dimensions that minimize the cost to build the fence around the fencing are 20 m by 10 m.

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There is no solution to the problem (x)=x+3!

Sorry, Love~ :(

Answer:

f −^1( x ) = x − 3

Step-by-step explanation:

The dimensions of the provided rectangle's sides ST and PT are 4 and 4√3 units, respectively.

Given: PFST is a rectangle with a radius of four and angle SOT of 60 degrees.

We must locate ST and PT.

We will thus apply the idea of cosine of an angle to find the same.

The law of cosine is expressed as follows for a triangle with sides α, β, and γ with angles, and:

\(\mathrm {b^2=a^2+c^2-2ac\cdot \cos \left(\beta \right)}\)

Since the radius of the circle O is made up of the points OS, OP, OF, and OT, their measurements are all equal.

Now, considering the Δ SOT for ST.

We have,

β = 60° and a and c = 4.

Applying the law:

\(\mathrm b=\sqrt{4^2+4^2-2\cdot \:4\cdot \:4\cos \left(60^{\circ \:}\right)}\)

Solving we get,

b = 4

Therefore, ST = 4 units.

Similarly, considering the Δ POT for PT.

Here, ∠POT = 180° - 60° [linear pair]

∠POT = 120°

So, we have,

β = 120° and a and c = 4.

Applying the law:

\(\mathrm b=\sqrt{4^2+4^2-2\cdot \:4\cdot \:4\cos \left(120^{\circ \:}\right)}\)

Solving we get,

b = 4√3 units

Therefore, PT = 4√3 units.

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The figure is given below:

If the variable attractiveness increases while the variable weight remains constant, the correlation is said to be a positive correlation. A positive correlation means that as one variable increases, the other variable also tends to increase.

For example, let's consider a study examining the relationship between the attractiveness of a person and their weight. If the study finds that as attractiveness increases, weight also tends to increase while keeping other factors constant, then we can say there is a positive correlation between attractiveness and weight.

In this case, the variable attractiveness is increasing while the variable weight remains constant. This means that as attractiveness increases, weight also tends to increase, indicating a positive correlation.

It's important to note that correlation does not imply causation. Just because two variables are correlated does not necessarily mean that one variable causes the other to change. Correlation simply measures the strength and direction of the relationship between two variables.

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Answer:

you must drive 200 miles in a day to make the rental cost for Company A a better deal than Company B's

Step-by-step explanation:

If you rent a truck from Company A, the cost will be 120+0.50m, where m is the number of miles you drive. If you rent a truck from Company B, the cost will be 40+0.70m, where m is the number of miles you drive. To find the number of miles you must drive in a day to make the rental cost for Company A a better deal than Company B's, we need to find the point at which the cost for Company A is less than the cost for Company B. We can do this by setting the two expressions equal to each other and solving for m:

120+0.50m=40+0.70m

120+0.50m-0.70m=40

0.20m=40

m=200

Therefore, you must drive 200 miles in a day to make the rental cost for Company A a better deal than Company B's.

Answer: To expand the expression log6(x^3/7y), we can use the logarithmic properties, specifically the power rule and quotient rule of logarithms.

The power rule states that log(base b) (x^a) can be expanded as a * log(base b) (x), and the quotient rule states that log(base b) (x/y) can be expanded as log(base b) (x) - log(base b) (y).

Applying these rules, let's expand the given expression step by step:

log6(x^3/7y)

Using the power rule: 3 * log6(x/7y)

Applying the quotient rule: 3 * (log6(x) - log6(7y))

Simplifying: 3 * (log6(x) - (log6(7) + log6(y)))

Further simplifying: 3 * (log6(x) - log6(7) - log6(y))

Therefore, the expanded form of the expression log6(x^3/7y) is 3 * (log6(x) - log6(7) - log6(y)).

Triangle KVM is similar to triangle BVG because angle M = angle G = 90° and angle V is common to both triangles.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio.

For two triangles to be similar, the corresponding angles must be congruent i.e equal.. Also the ratio of the corresponding sides of similar triangles are equal.

angle M and G are both 90° , this means they are equal.

angle KVM = BVG

therefore angle K = angle B

Since all the corresponding angles are equal, we can say triangle KVM is similar to triangle BVG

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The upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

To determine the upper bound of the 95% confidence interval for the average age in the U.S., we can use the sample data from the survey. The sample size is 1072 people, randomly selected from the U.S. population, with a minimum age of 12. By calculating the average age of the respondents, we can estimate the average age of the entire U.S. population.

Using the given information that the average age of the respondents is 43.56 years, and assuming that the sample is representative of the population, we can calculate the standard error. The standard error measures the variability of the sample mean and indicates how much the sample mean might deviate from the population mean.

Using statistical methods, we can calculate the standard error and construct a confidence interval around the sample mean. The upper bound of the 95% confidence interval represents the highest plausible value for the population average age based on the sample data.

Therefore, based on the provided information and calculations, the upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

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Answer:

$41.89

Step-by-step explanation:

100%=35.50

1%=0.3550

18%=6.39

$35.50+6.39=$41.89

Answer: 49.89 percent

Step-by-step explanation:

Be a good boy

The simplified form of 4√3 + 4³√3 is around 12.696 when evaluating the square root of 3 (√3) as approximately 1.732 and the cube root of 3 (³√3) as approximately 1.442.

To simplify the expression 4√3 + 4³√3, let's break it down step by step.

First, let's simplify the square root of 3 (√3). The square root of a number is a value that, when multiplied by itself, gives the original number. In this case, the square root of 3 (√3) is an irrational number (a number that cannot be expressed as a simple fraction or ratio) and is approximately equal to 1.732.

Now, let's simplify the cube root of 3 (³√3). The cube root of a number is a value that, when multiplied by itself three times, gives the original number. The cube root of 3 (³√3) is also an irrational number and is approximately equal to 1.442.

Now, let's substitute these simplified values back into the expression.

4√3 + 4³√3 becomes:

4(1.732) + 4(1.442)

Multiplying the simplified values:

6.928 + 5.768

Now, let's add these two values together:

6.928 + 5.768 = 12.696

So, the simplified value of 4√3 + 4³√3 is approximately 12.696.

In summary, 4√3 + 4³√3 simplifies to approximately 12.696.

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To prove that there exist infinitely many primes p ≡ 3 mod 4 without using Dirichlet's theorem, we can use a proof by contradiction.  Assume that there are only finitely many primes p ≡ 3 mod 4, say p1, p2, ..., pk. Let N be the product of all these primes, i.e. N = p1p2...pk.

1. Let's denote these finitely many primes as {p_1, p_2, ..., p_k}, where each prime p_i ≡ 3 mod 4.
2. Now consider the number N = (4 * p_1 * p_2 * ... * p_k) - 1. Notice that N ≡ 3 mod 4.
3. N has a unique prime factorization, and since N ≡ 3 mod 4, at least one of its prime factors must be congruent to 3 mod 4.
4. Since we assumed there are only finitely many primes congruent to 3 mod 4, we can check if any prime in the set {p_1, p_2, ..., p_k} divides N. Notice that for every prime p_i in the set, N ≡ -1 mod p_i, which means that no prime p_i can divide N.
5. This leads to a contradiction since N must have a prime factor congruent to 3 mod 4, but none of the primes in our set can divide N. Therefore, our initial assumption is incorrect.

So, there must be infinitely many primes p ≡ 3 mod 4.

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the maximum error in the computed answer is 0.4 (four tenths). This means that the computed answer can be off by up to 0.4 from the actual answer.

Since each number was rounded to the first decimal place, the maximum error in the computed answer is 0.1 (one tenth) per number. Since there are 4 numbers, the maximum error in the computed answer is 0.4 (four tenths).

The maximum error in the computed answer can be estimated by multiplying the maximum error per number with the total number of numbers. In this case, the maximum error per number is 0.1 and the total number of numbers is 4, so the maximum error in the computed answer is 0.4 (four tenths). This means that the computed answer can be off by up to 0.4 from the actual answer.

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Answer:

x=10,-2 that should be the answer if it's not then oh well

Step-by-step explanation:

Waterworks must produce more than 4 and fewer than 11 paddleboards.

What do you mean by polynomial?

A polynomial is defined as an expression consisting of variables, constants, and exponents combined by mathematical operations such as addition, subtraction, multiplication, and division (not division by a variable). Based on the number of terms in the expression, it is classified as monomial, binomial, and trinomial.

It is given that Waterworks is a company that manufactures and sells paddleboards. Its profit​ P, in hundreds of dollars​ earned, is a function of the number of paddleboards sold​ x, measured in thousands. Profit is modeled by the function ​

\(p(x) = -3x^{3}+45x^{2} -132x\)

zeroes of the p(x) will show the quantity at which profit = 0 i.e. breakeven

Let p(x) = 0

\(-3x^{3} +45x^{2} -132x =0\)

-3x (\(x^{2} -15x+44\)) = 0

-3x (\(x^{2} -11x-4x+44\) ) = 0

-3x (x(x-11) - 4(x-11)) = 0

-3x (x-11) (x-4) = 0

-3x = 0 or x-11 = 0 or x-4=0

x = 0,11,4

So,profit is obtained when 4<x<11.

Therefore,  Waterworks must produce more than 4 and fewer than 11 paddleboards.

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Yesterday, 5 more rooms were occupied than today.

The number of occupied rooms is obtained applying the proportions in the context of the problem.

Yesterday, the number of rooms occupied was given as follows:

4/5 x 100 = 0.8 x 100 = 80 rooms.

Today, the number of rooms occupied is given as follows:

3/4 x 100 = 0.75 x 100 = 75 rooms.

80 > 75, and the difference is given as follows:

80 - 75 = 5.

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The probability that the mean battery life would be greater than 1173.8 minutes is 0.9588

We can solve this problem using the central limit theorem, which tells us that the distribution of sample means from a population with a known variance becomes approximately normal as the sample size increases.

The standard error of the mean can be calculated as

SE = σ / sqrt(n)

where σ is the population standard deviation, n is the sample size

Here, we are given that the population variance is 8100, so the population standard deviation is the square root of 8100, which is 90.

SE = 90 / sqrt(72) = 10.6066

Next, we need to standardize the sample mean using the z-score formula

z = (X - μ) / SE

where X is the sample mean, μ is the population mean.

Here, the population mean is given as 1192 minutes and the sample mean we are interested in is 1173.8 minutes.

z = (1173.8 - 1192) / 10.6066 = -1.7356

We want to find the probability that the sample mean is greater than 1173.8 minutes. Since we have a negative z-score, we need to find the area to the right of this value on a standard normal distribution. We can use a z-table or a calculator to find this probability.

Using a standard normal distribution table, we find that the area to the right of z = -1.7356 is 0.9588.

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Answer:

slope is -1/4

x int is 4

y int is-1

y=-1/4x-1

Step-by-step explanation:

Answer:

y= −1−x/4

Step-by-step explanation:

Answer:

a. Increasing

b. Increasing

c. Decreasing

Explanation:

Part A (g(x) = 4x – 2)

g(x) is increasing since its rate of change is positive.

Part B (f(x) = 3x)

f(x) is increasing since its rate of change is positive.

Part C (h(x) = 2-x)

h(x) is decreasing since its rate of change is negative.

Answer:

yuu okay?

Step-by-step explanation:

The ratio of false positives to true positives is 8 over 54.

According to the Question

Results of a strep throat test performed on a sample of 400 ill people are displayed in the table's data. People who have the flu and those who don't are separated into two categories. The patients are then separated into groups based on whether they tested positive or negative for strep throat within each of these categories.

We must first define what a true positive and a false positive are in order to calculate the ratio of false positives to true positives. A patient who tests positive for strep throat but does not actually have the illness is said to have a false positive. The 8% of patients in this instance who tested positive for strep throat but did not have the flu would fall under that category. A patient who tests positive for strep throat and truly has the illness is said to have a true positive. That would be the 54% of patients who tested positive for both the flu and strep throat in this instance.

We divide the percentage of false positives (8%) by the percentage of true positives (54%), which gives us the ratio of false positives to true positives.

As a result, the ratio becomes 8% / 54%, or 8/54.

It's critical to remember that this ratio is dependent on the sample and test performed and may not be the same for different populations or testing methodologies.

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Answer:

Step-by-step explanation:

it is 20493

Answer:

Rate of change is 3 miles every 1 minute

equation: f(x)=x(3)

Step-by-step explanation:

according to the table, every minute eddy runs is another 3 miles he has traveled. therefor the equation would be f(x)=x(3) with x being the time in minutes. For example, if f(x) or the time in minutes was 4 then f(4)=4(3) which equals 12 miles as the table shows.

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Answer:

  D)  Hungary

Step-by-step explanation:

You are being asked to compare 4 pairs of numbers. The population will have decreased if the number in the 2005 column is less than the number in the 1985 column.

Whenever you compare numbers, you start with the most-significant digit. If the most-significant digit has a higher place value, the number is larger. If the digits have the same place value, the number with the larger digit is larger. If no determination can be made by these comparisons, then the digits to the immediate right are compared.

  27,... > 19,...  2 > 1 in the 10-millions place

  10,... > 9,...  1 has a greater place value

  29... > 24...  comparison shifts to the 10-thousands place: 9 > 4

  10,058,... < 10,649,... . . . . the population decreased (0 < 6)

The "population decreased" result is found on the last line of the table, identified by the Country name "Hungary."

Hungary's population decreased from 1985 to 2005.

However, to give you an idea of what you should include in the worksheet, I can tell you that it depends on the instructions that your teacher gave you. Here are some possible steps that you can follow:

Step 1: Follow the instructions provided by your teacher.If your teacher provided you with specific instructions on how to construct the worksheet, then follow them carefully.

This may include the format of the worksheet, the length of the responses, and the type of information that you need to include. Make sure to read the instructions carefully before you start constructing the worksheet.

Step 2: Include all necessary informationIn general, a worksheet should include all the relevant information that is needed to complete a task or to answer a question.

If you are constructing a worksheet for a math problem, for example, make sure to include all the necessary data and formulas that are needed to solve the problem.

If you are constructing a worksheet for a reading assignment, make sure to include all the necessary information about the text that you read.

Step 3: Check for accuracy and completeness Once you have finished constructing the worksheet, make sure to check it for accuracy and completeness.

This means checking that all the necessary information is included, and that there are no errors or omissions. Double-check your calculations and your spelling and grammar.

Step 4: Submit the worksheet to your teacherOnce you are satisfied with the accuracy and completeness of your worksheet, submit it to your teacher for grading.

Make sure to follow any specific submission instructions that your teacher has provided, such as the file format or the deadline for submission.

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Answer:

c

Step-by-step explanation:

c

The graph of y + 2 ≥ –4(x – 3)² is a a parabola opening down, with shading above the vertex

An equation is an expression that shows the relationship between two or more numbers and variables.

The graph of y + 2 ≥ –4(x – 3)² is a a parabola opening down, with shading above the vertex

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Since, Alice ate 5 cookies and 2 carrots for a total of 590 calories; bob ate 3 cookies and 4 carrots for a total of 410 calories. Therefore, In a cookie there are 110 calories.

A calorie is a unit of energy that food and drink provide. we can usually find out how many calories are listed in foods, and wearables like the best fitness trackers let you monitor how many calories you're burning in different activities. Certain foods, such as processed foods, tend to be high in calories. Other foods, such as fresh fruits and vegetables, tend to be low in calories. there is not. Calories are needed to give you enough energy to move, keep warm, grow, work, think, and play. Our circulation and digestion also need to work well with the energy we get from calories.

Let x = calories in cookies.

     y = calories in carrots.

Now, according to the question:

     5x + 2y = 590                   --------------------------------------- (1)

     3x + 4y = 410                    -------------------------------------- (2)

Multiplying equation(1) by 3 and equation(2) by 5:

         15x + 6y = 1770                       ---------------------------(3)

         15x + 20y = 2050                   ---------------------------(4)

Solving we get:

    y = 280/14

or, y = 20 units.

Putting the value of y = 20 in equation (2)

    3x + 4y = 410

⇒  3x + 4 × 20 = 410

⇒ 3x = 410 - 80

⇒ x = 330/3

⇒ x = 110 Units

Therefore, the calories of cookies is 110 units .

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