Find the area of the figure. Use 3.14 as pi

Answer:  L isn't the midpoint of segment MN.

Step-by-step explanation:

NL+LM=NM

6x-5+2x+3=4x+9

8x-2=4x+9

8x-2+2=4x+9+2

8x=4x+11

8x-4x=4x+11-4x

4x=11

Divide both parts of the equation by 2:

2x=5.5

NL=6x-5

NL=(2x)(3)-5

NL=(5,5)(3)-5

NL=16.5-5

NL=11.5

LM=2x+3

LM=5.5+3

LM=8.5

NL≠LM

Hence, L isn't the midpoint of segment MN.

In summary, based on the given lengths and mathematical reasoning, we have determined that point L is the midpoint of segment MN because the lengths of NL and LM are equal when x = 2.

We must compare the lengths of the two segments NL and LM and see if they are identical in order to establish whether point L is the midpoint of segment MN.

NL = 6x - 5

LM = 2x + 3

The lengths of NL and LM ought to be equal if L is the middle of segment MN. To put it another way, NL and LM ought to be equal.

Constructing the equation

6x - 5 = 2x + 3

Now, solve for x:

6x - 2x = 3 + 5

4x = 8

x = 2

As soon as we know the value of x, we can put it back into the NL and LM formulas to get their lengths at x = 2:

NL = 6x - 5 = 6 * 2 - 5 = 12 - 5 = 7

LM = 2x + 3 = 2 * 2 + 3 = 4 + 3 = 7

The lengths of NL and LM are both 7 units.

Point L is in fact the middle of segment MN because both segments NL and LM have similar lengths.

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Answer:

33.4 +  34.6

Step-by-step explanation:

68 seconds  in minutes that would be 1 minuet and 8 seconds

Answer:

(4,7)

Step-by-step explanation:

In this situation, the teacher could use a hypothesis test for a population means to determine if the computer-based instruction led to a statistically significant improvement in the student's test scores. The population in this case would be the entire class of students, and the mean would represent the average difference in test scores between the pretest and posttest.

The teacher can use a hypothesis test for a population means in the following situation:

1. Determine the population: The teacher's population consists of all the students who participated in the experiment.

2. Calculate the mean pretest score: The teacher will compute the average score of all the students' pretest results.

3. Implement computer-based instruction: The teacher teaches a lesson using a computer program.

4. Conduct a posttest: After the lesson, the teacher administers a posttest to each student.

5. Calculate the mean post-test score: The teacher will compute the average score of all the students' post-test results.

6. Formulate a null hypothesis: The null hypothesis states that there is no significant difference between the pretest and posttest mean scores. In other words, computer-based instruction did not have a significant impact on the students' performance.

7. Conduct a hypothesis test for a population mean: The teacher will use a statistical test, such as a t-test, to compare the pretest and posttest mean scores. This test will determine whether there is a significant difference between the two means that suggests the computer-based instruction had a positive effect on the student's performance.

8. Interpret the results: If the hypothesis test shows a significant difference between the pretest and posttest mean scores, the teacher can conclude that the computer-based instruction likely had a positive impact on the students' learning. Otherwise, the null hypothesis cannot be rejected, and the teacher may need to explore other instructional methods or factors that could have influenced the results.

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Option c is a biased event, The probability of pulling a blue marble from a bag with 10 red marbles, 18 blue marbles and 6 green marbles.

This is the disposition or attitude that contains a personal point of view.

A series of independent Bernoulli trials with a chance of 1/2 on each trial is referred to as a fair coin in probability theory and statistics. A biased or unjust coin is one for which the probability is not equal to one-half. Any aggressive statement that might be motivated by someone else's race, color, disability, religion, national origin, sexual orientation, or gender identity is referred to as a bias incident. The behavior need not be illegal under municipal, state, federal, or tribal law.

The biased event would be,

c. The probability of pulling a blue marble from a bag with 10 red marbles, 18 blue marbles and 6 green marbles.

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Answer:

angle 1 = 111

angle 2 = 69

Step-by-step explanation:

Supplementary Angles add up to 180°.

We are given angle 1 = (x+88)° and angle 2 = 3x°

The sum of both angles add up to 180°

x+88+3x=180

4x=180-88

4x=92

x = 23

To find angle 1, substitute x = 23 in (x+88)°

23°+88° = 111°

Therefore, angle 1 is 111°

To find angle 2, substitute x = 23 on 3x°

3(23) = 69°

Checking if the answer is right by combining 111 and 69.

111+69 = 180

Hence, the answers are 111° and 69°.

Answer:

the greatest number I guess is 2

Step-by-step explanation:

18÷2= 9male to the 2group

24÷2=12female to the 2group

The weight of the heaviest 20% of fruits can be estimated using the z-score corresponding to the 80th percentile, which is 0.84.

The weight can be calculated by adding the z-score multiplied by the standard deviation to the mean weight. Therefore, the weight of the heaviest 20% of fruits is approximately 405 grams.

To calculate this, we first need to find the z-score for the 80th percentile, which is 0.84. Then, we can use the formula z = (x - mu) / sigma, where x is the weight we want to find, mu is the mean weight, and sigma is the standard deviation.

Rearranging this formula to solve for x, we get x = z * sigma + mu. Plugging in the values we have, we get x = 0.84 * 20 + 374 = 405.2 grams. Rounding this to the nearest gram, we get the answer of 405 grams.

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The three objects that make up the Alpha centauri system, given their description, are all D. stars.

Alpha Centauri is a star system that consists of three stars, not planets, asteroids, or comets. The three stars are named Alpha Centauri A, Alpha Centauri B, and Proxima Centauri.

Alpha Centauri A and B are similar to the Sun, while Proxima Centauri is a smaller and cooler red dwarf star. The three stars in the Alpha Centauri system produce light and rotate on their own axis, and the system is located an average of 4 light-years from Earth.

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Risa will need 288 inches of ribbon to sew to her square blanket.

Step-by-step explanation:

a square has 4 sides so 72×4=288

Answer:

i dont know i tried really hard im not really good at math to be honest once again sorry

Step-by-step explanation:

Answer:

$12.50

Step-by-step explanation:

62% would be left,so

\(\frac{62}{100}\) × $20

=$12.50

Answer:

4 & 5

Step-by-step explanation:

4 x 4 =16

5 x 5 =25

Answer:

-23, 5

Step-by-step explanation:

JK = 14 and K = -9

J could be on the left or the right of -9

Add 14 to -9

14+-9 = 5

So J could be at 5

Subtract 14 from -9

-14-9 = -23

Answer:

15%

Step-by-step explanation:

To find the percentage discount, we can use the Discount Formula:

\(\boxed{\sf Discount\;Percent=\dfrac{List\;Price-Selling\;Price}{List\;Price} \times 100}\)

The list price is the price on the tag, so $39.

The selling price is the price Isaac paid before tax, so $33,15.

Substitute these values into the formula:

\(\sf Discount\;Percent=\dfrac{39-33.15}{39} \times 100\)

\(\sf Discount\;Percent=\dfrac{5.85}{39} \times 100\)

\(\sf Discount\;Percent=0.15 \times 100\)

\(\sf Discount\;Percent=15\%\)

Therefore, the percent discount is 15%.

Answer:

month us your x, and temp. is your y

type the graph into demos graph calculator.

hope this helps

Answer:

65 cars

Step-by-step explanation:

In the first month, there are 11, then the cars increased by 9 for the last 6 months, meaning you can do 6*9=54

You can then add that to 11, which is 11+54=65

A possible value of the positive number x that is a perfect dividend of 6 is; 12

The concept of division of number is expressed as;

Dividend = (divisor * quotient) + remainder

Now, in this question a positive number x is divided by 6, the remainder is 0. Thus, there is no remainder and it tells us that the number can be any number that is a multiple of 6.

Some of the multiples of 6 are;

6, 12, 18, 24, 30, 36, 42, 48,...e.t.c

We can pick any of the above numbers but for here we will pick 12.

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To evaluate the line integral ∮C F · dr using Green's theorem, we need to confirm the orientation of the curve C and apply the appropriate sign. Therefore, ∮C F · dr = -8 - 8π.

Given the vector field F(x, y) = ⟨y - cos(y), x sin(y)⟩ and the curve equation \((x - 4)^2 + (y + 9)^2 = 16\), let's proceed with the evaluation.

1. Orientation of Curve C:

To determine the orientation, we can parametrize the curve equation. Let's use the parameterization:

x = 4 + 4cos(t)

y = -9 + 4sin(t)

By analyzing the parameterization, we find that the curve C is oriented counterclockwise as t varies from 0 to 2π.

2. Green's Theorem:

Green's theorem states that ∮C F · dr = ∬D (∂Q/∂x - ∂P/∂y) dA, where D is the region enclosed by the curve C, F = (P, Q) is the vector field, and dr = (dx, dy) is the differential displacement vector.

3. Apply Green's Theorem:

Let's compute the double integral of (∂Q/∂x - ∂P/∂y) over the region D.

∬D (∂Q/∂x - ∂P/∂y) dA = ∬D ((∂/∂x)(x sin(y)) - (∂/∂y)(y - cos(y))) dA

4. Evaluate the Double Integral:

Integrate (∂/∂x)(x sin(y)) and (∂/∂y)(y - cos(y)) with respect to x and y over the region D.

∬D (∂Q/∂x - ∂P/∂y) dA = ∫(0 to 2π) ∫(0 to 4) (sin(y) - 1) dx dy

Evaluate the inner integral:

= ∫(0 to 2π) [x sin(y) - x] |(0 to 4) dy

= ∫(0 to 2π) (4sin(y) - 4) dy

Evaluate the outer integral:

= [-4cos(y) - 4y] |(0 to 2π)

= [-4cos(2π) - 4(2π)] - [-4cos(0) - 4(0)]

Simplifying, we get:

= [-4 - 8π] - [-4]

= -8 - 8π

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use green’s theorem to evaluate yc f dr. (check the orientation of the curve before applying the theorem. \(F(x, y) &= \langle y - \cos(y), x \sin(y) \rangle\) C is a circle \((x - 4)^2 + (y + 9)^2 &= 16\) oriented counterclockwise.

Consequently, there is a 0.89736 percent chance or probability that he weighs fewer than 258 kilograms.

Probability fundamentals. A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

Here,

we use the z-score algorithm to answer this query.

Score Z = x - μ/σ

x = the raw score

 population mean= μ 

Population standard deviation is σ

Hence,

x = 258, μ = 220, σ = 30

Z = 258 - 220/30

=1.26667

Probability based on the Z-Table:

P(x<258) = 0.89736

Consequently, there is a 0.89736 percent chance that he weighs fewer than 258 kilograms.

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Answer:

\(\left\begin{array}{ccccc}&0&0&0&0 \\ \times&&&&9 \\--&--&--&--&--\\& 0 & 0 & 0 & 0 \\--&--&--&--&-- \end{array}\right\)

Step-by-step explanation:

Now,

\(\left\begin{array}{ccccc}&M&A&T&H \\ \times&&&&9 \\--&--&--&--&--\\& H & T & A & M \\--&--&--&--&--\\ ^{a} & ^{b} & ^{c} & ^{d} \end{array}\right\)

where the small letters a,b, c and d refers to carried numbers.

Converting this to equations:

This equation comes from carrying remainders.

We know \(0 \le H \le 9\) because H is a single digit, so by the fourth equation,

9M+b=H

M=0 or 1 since any larger integer value of M will make H a double digit number.

If M=1, we have:

\(\left\begin{array}{ccccc}&1&A&T&H \\ \times&&&&9 \\--&--&--&--&--\\& H & T & A & 1 \\--&--&--&--&--\end{array}\right\)

The only multiple of 9 that will give a remainder of 1 is 9. Therefore:

In this case, H=9

However, even if A and T were to be 0, the least possible number

1009 X 9= 9081

Therefore:

M=0

And sure enough

\(\left\begin{array}{ccccc}&0&0&0&0 \\ \times&&&&9 \\--&--&--&--&--\\& 0 & 0 & 0 & 0 \\--&--&--&--&-- \end{array}\right\)

The chronological order of the events described is: Earliest record of the Chinese Lo Shu magic square, Hypatia becomes the head of the Platonist School, Aryabhata writes the famous aryabhatiya, The discovery of the Fibonacci Sequence, Florence Nightingale develops the polar area diagram, and First African American woman to visit space.

To classify events chronologically we must know the date on which they occurred.

The chronological organization can be from the oldest event to the most recent or vice versa. In this case the organization of the events will be done from the oldest to the most recent.

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Joanne, as the store manager at Glitter, is exercising her legitimate power that she obtains from her position of authority.

Legitimate power refers to the authority that comes with a specific role or position within an organization. In this case, Joanne's role as store manager grants her the power to make decisions and direct her sales staff. She uses this power to require her team to stay after normal work hours to complete tasks such as pricing and displaying new merchandise before each holiday season. This demonstrates that her power is derived from her position within the company rather than her personal attributes or expertise.

It is important to differentiate legitimate power from other forms of power, such as expert power, coercive power, and soft power. Expert power is based on one's knowledge and skills in a specific area, while coercive power involves using threats or force to get others to comply. Soft power, on the other hand, refers to influencing others through persuasion, diplomacy, and personal appeal.

In the context of this scenario, Joanne's power is primarily legitimate, as it stems from her position as store manager, rather than her expertise or personal influence.

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Answer:

39

Step-by-step explanation:

1:4:4

13:52:52

52-13 = 39

Derivative of log(tanhx) = 2cossec(2x)

Let us assume y = log (tan hx)

On differentiating both sides ,

\( \frac{dy}{dx \: } = \frac{d \: log(tanhx)}{dx} \)

\( \frac{dy}{dx} = \frac{d log( \tan(hx) ) }{d \tan(hx).d \tan(hx) } \times dx\)

\( \frac{dy}{dx} = \frac{1}{ \tan(hx) \times \sec( {h}^{2x} ) } \)

\( \frac{dy}{dx} = \frac{ \cos(hx) }{ \sin(hx) } \times \frac{1 }{ \cos(h {}^{2} ) } \)

\( \frac{dy}{dx} = \frac{2}{2 \sin(hx). \cos(hx) } \)

\( \frac{dy}{dx} = \frac{2}{ \sin(h)(2x) } \)

dy/dx = 2 cos sec (2x)

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Answer:

I filled it in for you. Hope it helps xx

The inverse of the conditional statement is : if two lines do not intersect, then the lines are not coplanar.

Conditionals are commands used in programming languages to handle decisions.

The contrapositive statement is :  If two lines are not coplanar, then the lines do not intersect.

The converse statement is :  If two lines are coplanar, then the lines intersect.

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Answer:

1. Median

2. 62.5

Step-by-step explanation:

To minimize the amount of tin used, the height of the can must be 4 inches (option D).

The volume of a cylindrical tin can is given by the formula V = πr²h, where V is the volume, r is the radius, and h is the height. To minimize the amount of tin used, we need to minimize the surface area, which is given by the formula A = 2πrh + 2πr².

Given the volume is 16π cubic inches, we have:

16π = πr²h

Now, we can find the relationship between r and h:

h = 16/r²

Now, substitute this into the surface area formula:

A = 2πr(16/r²) + 2πr²
A = 32π/r + 2πr²

To minimize the surface area, we can take the derivative with respect to r and set it to 0:

dA/dr = -32π/r² + 4πr

0 = -32π/r² + 4πr

Solving for r:

r³ = 8
r = 2 (since r > 0)

Now, substituting r back into the relationship between r and h:

h = 16/(2²)
h = 16/4
h = 4

Therefore, the height of the can must be 4 inches (option D) to minimize the amount of tin used.

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