A piece of wire 11 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. (Round your answers to two decimal places.) (a) How much wire (in meters) should be used for the square in order to maximize the total area

Connect the points where the first arc crosses the triangle's base and the second arc intersects the base of the triangle with the straightedge to create the triangle's third side, BC.

Generally, To accurately construct triangle ABC, you will need a straightedge (such as a ruler) and a protractor. Here are the steps to follow:

Use the straightedge to draw a straight line segment of length 8 cm, which will represent side AB. This line segment will be the base of the triangle.

Place the point of the protractor at one end of the line segment and draw an arc that intersects the other end of the line segment.

Measure the angle formed by the line segment and the arc using the protractor. The measure of this angle should be 70 degrees.

Without changing the position of the protractor, draw another arc that intersects the first arc and the base of the triangle.

Use the straightedge to connect the point where the second arc intersects the base of the triangle to the point where the first arc intersects the base of the triangle. This will form the third side of the triangle, AC.

Finally, use the straightedge to draw the third side of the triangle, BC, by connecting the point where the first arc intersects the base of the triangle to the point where the second arc intersects the base of the triangle.

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Answer:

NO

Step-by-step explanation:

Answer:

So first you have to do 12-2 since it's in parenthesis. It is 10. 5+4 is 9, and 9 times 10 is 90. 3 squared is 9, then you divide 90 by 9. The answer is 10.

I have no idea??? I'm 3rd grade.

Given that;

Liana takes 2 pages of notes during each hour of class. ​

To write a proportional relationship, let x represent the time in class and y represent the number of pages.

according to the question, the constant of proportionality is equal to 2. ( 2 pages per hour).

So, the equation becomes;

Therefore, an equation to represent the proportional relationship is;

We can represent the equation on the graph as;

We can also represent it on the table as;

Where x is in hours and y is in pages.

Answer: W = 2/L

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

Since μ≥0, if the calculated μ_MLE is negative, set the MLE to 0 as the final answer: μ_MLE = max(0, Σ(xi) / n).

Based on the given information, we have a sample (x1, ..., xn) from a normal distribution N(μ, 1) with an unknown mean μ≥0 and a known variance of 1. To determine the Maximum Likelihood Estimator (MLE) of μ, we follow these steps:
1. Write down the likelihood function, which is the product of the probability density functions (PDF) for the normal distribution: L(μ) = ∏[1/(√(2π)) * exp(-(xi - μ)² / 2)]
2. Take the natural logarithm of the likelihood function to get the log-likelihood function: log L(μ) = Σ[-(xi - μ)² / 2 - log(√(2π))]
3. Differentiate the log-likelihood function with respect to μ and set the result to zero to find the maximum: d(log L(μ))/dμ = Σ[2(xi - μ)] = 0
4. Solve for μ: μ_MLE = Σ(xi) / n
The MLE of μ is the sample mean, which is the sum of the xi values divided by the sample size n. However, since μ≥0, if the calculated μ_MLE is negative, set the MLE to 0 as the final answer: μ_MLE = max(0, Σ(xi) / n)

To determine the maximum likelihood estimator (MLE) of μ in this scenario, we need to first calculate the likelihood function. Since (x1, . . . , xn) is a sample from an n(μ, 1) distribution, the likelihood function can be expressed as:
L(μ|x1, . . . , xn) = (2π)^(-n/2) exp(-(1/2)Σ(xi - μ)^2)
To find the MLE of μ, we need to maximize this likelihood function with respect to μ. To do so, we take the derivative of the likelihood function with respect to μ and set it equal to zero:
d/dμ L(μ|x1, . . . , xn) = Σ(xi - μ) = 0
Solving for μ, we get:
μ = (1/n)Σxi
Therefore, the MLE of μ in this scenario is the sample mean, (1/n)Σxi. Note that since we do not know the true value of μ, we cannot substitute it into the likelihood function to obtain a numerical value for the maximum likelihood. Rather, we can only determine the MLE in terms of the sample and the distribution.

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Answer:

it will be a c I don't know if it's good

The whole factoring of the phrase is \(3(b + 7) (b - 3)\)

Factors are items which are multiplied by the other items in an expression. You can use a number, variable, sentence, or any other longer expression. For instance, 2, x, and y are the components of 2xy.

Rewriting an equation as the sum of factors is referred to as factor expressions or factoring. For instance, 3x + 12y may be expressed as 3 (x + 4y), which is a straightforward equation. The computations get simpler in this method. Three or (x + 4y) were examples of factors.

First, we can factor out \(3\)

\(3b^2 + 12b - 63 = 3(b^2 + 4b - 21)\)

The numbers are \(+7\) and \(-3\)

\(b^2 + 4b - 21 = (b + 7)(b - 3)\)

Putting it all together,

\(3b^2 + 12b - 63 = 3(b^2 + 4b - 21) = 3(b + 7)(b - 3)\)

Therefore, the expression is \(3(b + 7)(b - 3)\).

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Answer:

b=(28+a²)^½

Step-by-step explanation:

but i couldnt find the numerical value of b since the value of a wasn't given

Answer:

The first one

\( log_{11} \: (x)\)

Step-by-step explanation:

f(x) = 11^x

Here are the steps to find the inverse of a function:

1. Let f(x)=y

2. Make x the subject of formula.

3. Replace y by x.

\(11 {}^{x} = y \\ \: log(11 {}^{x} ) = log(y) \\ x log(11) = log(y) \\ x = \frac{ log(y) }{ log(11) } = log_{11}(y) \\ f {}^{ - 1} (x) = log_{11}(x) \)

Answer:

multiply t from both sides by t, then divide both sides by s.

it should be txy/s = r

Answer:

r =  \(\frac{txy}{s}\)

Step-by-step explanation:

multiply both sides by t

txy = rs

flip the equation

rs = txy

divide both sides by s

\(\frac{rs}{s}\) = \(\frac{txy}{s}\)

r = \(\frac{txy}{s}\)

In the triangle ABC, i) ABC = 52.12° ii) BCA = 31.08° and iii) AB = 8.11cm.

Based on the provided information, ∠ BAC = 96.8°; AC = 12.4cm, and BC = 15.6cm

i) According to the law of sine,

Sin ∠A/a = Sin ∠B/b = Sin ∠C/c where a is the length opposite to ∠A, and so forth.

Hence, based on the information, ∠ABC = ∠B

Sin ∠B/AC = Sin ∠A/BC

Sin ∠B/12.4 = Sin 96.8/15.5

Sin ∠B = (Sin 96.8/15.5)*12.4

∠B = Sin^-1((Sin 96.8/15.5)*12.4)

∠B = 52.12°

ii) As the sum of interior angles of a triangle is 180°. ∠As BCA = ∠C

∠A + ∠B + ∠C = 180

96.8 + 52.12 + ∠C = 180

∠C = 31.08

iii) According to the law of cosine,

c^2 = a^2 + b^2 – 2ab cos C where C is the angle opposite to c.

BC^2 = AB^2 + AC^2 – 2(AB)(AC)cos98.6

15.6^2 = AB^2 + 12.4^2 – 2(AB)(12.4)cos98.6

Solving for AB,

AB = 8.11cm

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Answer:

500 minutes= 8.33 hr

Step-by-step explanation:

The number of hours that he works will be 8 hours and 20 minutes.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Jude arrived at work at 7:55 am and left at 4:15 pm.

Convert the time into 24 hours system. Then we have

4:15 pm = 16: 15

7:55 am = 7: 55

Then the number of hours is given as,

    16: 15

  -  7: 55

     8: 20

Then the number of hours that he works will be 8 hours and 20 minutes.

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To determine the price the student-athlete should charge for each hot dog to break even, we need to consider the total costs she incurs, including the vendor fee, equipment cost, and the cost per hot dog. By dividing the total costs by the anticipated number of hot dogs sold, we can find the price per hot dog that would allow her to break even.

The total costs for the student-athlete include the vendor fee of $3000 and the equipment cost of $4500, which sums up to $7500 for the season. Additionally, she incurs a cost of $0.35 per hot dog sold. With an anticipation of selling 2000 hot dogs, the total cost for the hot dogs would be 2000 x $0.35 = $700.

To break even, the total revenue from selling the hot dogs should cover the total costs. Therefore, the price per hot dog should be set in such a way that the revenue from selling 2000 hot dogs equals $7500. Dividing the total costs ($7500) by the number of hot dogs (2000), we find that the student-athlete should charge $3.75 per hot dog in order to break even. This price per hot dog would allow her to cover all her expenses and reach the break-even point.

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The magnitude of the resultant force upon the piling is 3710 pounds.

To find the resultant force, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, the forces exerted by the bulldozers form the two sides of a right triangle.

The force exerted by the first bulldozer in the westerly direction is 1850 pounds, and the force exerted by the second bulldozer in the northerly direction is 3250 pounds.

Using the Pythagorean theorem, we can calculate the magnitude of the resultant force as follows:

Resultant force =\(√(1850^2 + 3250^2)= √(3422500 + 10562500)= √(13985000)≈ 3710 pounds.\)

Therefore, the magnitude of the resultant force upon the piling is approximately 3710 pounds.

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Answer:

Any picture?

Step-by-step explanation:

I cant help without a picture, try and reask?

Answer:

there is nothing here to find x,y,z

Step-by-step explanation:

Answer:

4 IS THE ANSWER MATE

Step-by-step explanation:

Absolutely, I can do that!

Let's take a look at each statement:

1) f(x) has a y-intercept at (0,2)

To find the y-intercept, we need to set x to 0 and solve for y. Plugging in x = 0 into the equation for f(x), we get:

f(0) = -log(0+4) + 2

f(0) = -log(4) + 2

f(0) = -0.602 + 2

f(0) = 1.398

Since the y-coordinate of the y-intercept is 1.398, not 2, this statement is false.

2) The function -f(x) has a y-intercept at (0,2)

Since the negative sign in front of f(x) reflects the graph of f(x) across the x-axis, we can determine the y-intercept of -f(x) by taking the opposite of the y-intercept of f(x). Since the y-intercept of f(x) is not 2, this statement is also false.

3) As x approaches positive infinity, the function f(x) approaches negative infinity.

The function f(x) is a logarithmic function with a negative coefficient, which means it approaches negative infinity as x approaches positive infinity. Therefore, this statement is true.

4) As x approaches -4 from the right, the function f(x) approaches negative infinity.

As x approaches -4 from the right, the value of f(x) becomes more and more negative without bound, which means that f(x) approaches negative infinity as x approaches -4 from the right. Therefore, this statement is also true.

In summary, statements (1) and (2) are false, while statements (3) and (4) are true.

The margin of error at a 99% confidence level is 8.36.

The margin of error at a 99% confidence level based on a larger sample of 275 observations is 4.14.

a. Yes, the condition that X−X− is normally distributed is satisfied for a sample size of 69 by the central limit theorem.

b. The margin of error at a 99% confidence level can be computed using the formula:

Margin of error = z* (sigma / sqrt(n))

where z* is the z-score corresponding to a 99% confidence level, sigma is the known standard deviation, and n is the sample size.

The z-score for a 99% confidence level is 2.576 (from the z table).

Substituting the given values, we get:

Margin of error = 2.576 * (27.5 / sqrt(69)) = 8.36

c. The margin of error at a 99% confidence level based on a larger sample of 275 observations can be computed using the same formula:

Margin of error = z* (sigma / sqrt(n))

where z* is the z-score corresponding to a 99% confidence level, sigma is the known standard deviation, and n is the sample size.

The z-score for a 99% confidence level is still 2.576 (from the z table).

Substituting the given values, we get:

Margin of error = 2.576 * (27.5 / sqrt(275)) = 4.14

d. The margin of error is inversely proportional to the square root of the sample size. As the sample size increases, the margin of error decreases. Therefore, the margin of error with n = 275 will be smaller than the margin of error with n = 69, leading to a narrower confidence interval.

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Answer:

Solution is in attached photo.

Step-by-step explanation:

Answer:

2n

Step-by-step explanation:

Pythagoras \(a^{2} + b^{2} = c^{2}\)

2 squared plus 2 squared = 8 but you need to find out the root of 8,

square root of 8 is a surd, so answer in that

Answer:

4n

Step-by-step explanation:

a^2+b^2=c^2

2n^2+2n^2=c^2

4n^2=c^2

sqrt 4n^2=sqrt c^2

4n=c

180° rotation rule  (x, y) → (–x, –y)..

Triangle XYZ is rotated to create the image triangle X'Y'Z'. On a coordinate plane, 2 triangles are shown.

The first triangle has points X (-5, 3), Y (-2, 3), Z (2, 1).

The second triangle has points X prime (5, - 1), Y prime (5, - 4), Z prime

(3, - 4).

Here the sign of both coordinates has been changed but the magnitude remains same.

So, the rule is  (x, y) → (–x, –y)  which is for 180° rotation.

Hence, the  180° rotation rule  (x, y) → (–x, –y).

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Step-by-step explanation:

this is your answer..........

Step-by-step explanation:

In given rt.angled triangle,

Sin thita =p/h

=26.1/28.7

=0.9094

So correct answer is option D.

0.9094 is the sine of angle θ

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

here, we have,

from the given figure,

In given rt.angled triangle,

Sin thita =p/h

=26.1/28.7

=0.9094

So correct answer is option D.

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Answer:

the information above is not suffi

Step-by-step explanation:

hope it helps if wrong sorry

Answer:

The median height for tree 1 is greater.

Step-by-step explanation:

The height of tree 1 is greater therefore I believe the median will also be greater. I hope this helps.

Step-by-step explanation:

Well, the opposite of a number is the same number with the opposite sign. For example, the opposite of -1 is 1.

So, say we have an equation where we're subtracting a number, for example, 2-1, which obviously equals 1. Now, if we add the opposite of 1 to 2, we get the equation 2+(-1) which still equals 1.

I hope this helps!

Given:

The figure.

To find:

The segment bisector of MN and value of MN.

Solution:

From the given figure it is clear that ray RP,i.e., \(\overrightarrow {RP}\) is the segment bisector of MN because it divides segment MN in two equal parts.

Now,

\(3\dfrac{5}{6}=\dfrac{3\times 6+5}{6}\)

\(3\dfrac{5}{6}=\dfrac{23}{6}\)

Since, \(\overrightarrow {RP}\) is the segment bisector of MN, therefore,

\(MN=2\times \dfrac{23}{6}\)

\(MN=\dfrac{23}{3}\)

\(MN=7\dfrac{2}{3}\)

Therefore, the length of MN is \(7\dfrac{2}{3}\).

Answer:

Then it would be 4n squared + 21

Step-by-step explanation:

Answer:

(2n - 7)^2

Step-by-step explanation:

both 4n^2 and 49 are perfect squares so take their square roots and get 2n and 7

Influential scores, indicated by large residuals, have a significant impact on the regression line when removed from the data. These points, characterized by extreme x or y-values, can alter the slope and intercept of the regression line, emphasizing their importance in regression analysis.

The correct statements about influential scores are i and ii.

i. Influential scores have large residuals because they have a strong effect on the regression line. This means that if we remove an influential score from the data, it will significantly change the slope and intercept of the regression line.

ii. Removal of an influential score sharply affects the regression line because influential scores have a large impact on the regression line. If we remove an influential score, it will significantly change the slope and intercept of the regression line.

iii. This statement is not true. An x-value that is an outlier in the x-variable may be indicative of a point being influential, but a y-value that is an outlier in the y-variable can also be indicative of a point being influential.

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Answer: D

Step-by-step explanation:

D would be the line segment closest to having a 90 degree angle.

Answer:

Step-by-step explanation:

D