If the area of a square desk is 324 square inches, how long is each side?

Answer:

Please check the explanation.

Step-by-step explanation:

Part a)

Finding the slope of f(x)

Given the table of the function f(x)

x        f(x)

-1        -5

0        -1

1          3

Finding the slope using the formula

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)

\(\left(x_1,\:y_1\right)=\left(-1,\:-5\right),\:\left(x_2,\:y_2\right)=\left(0,\:-1\right)\)

\(m=\frac{-1-\left(-5\right)}{0-\left(-1\right)}\)

\(m=4\)

Thus, the slope of the function f(x) = 4

Finding the slope of g(x)

We know the slope-intercept form of a linear function is

\(y = mx+b\)

where m is the slope and b is the y-intercept

Given the function

\(g(x) = 2x-7\)

comparing with the slope-intercept form

y = mx+b

The slope of the function g(x) = 2

Thus, we conclude that:

Hence, the slope of f(x) is greater.

Part b)

Finding the y-intercept form of f(x)

We know that the y-intercept can be determined by setting x = 0 and determining the corresponding y-value.

From the table,

It is clear at x = 0, y = -1

Hence, the y-intercept of the function f(x) = -1

Finding the y-intercept form of g(x)

Given the function

\(g(x) = 2x - 7\)

comparing with the slope-intercept form (y = mx+b)

\(y = mx+b\)    

where b is the y-intercept

Hence, the y-intercept of g(x) = b = -7

Thus, we conclude that:

Hence, the y-intercept of f(x) is greater.

Answer:

40

Step-by-step explanation:

Two denominator are 5 and 8, we need to find their L.C.F. so since the only common number between 5 and 8 is 1, so,

L.C.F. = 1×5×8 = 40, so common denominator = 40

Using 3 different methods, we can find that YZ = 25m

Method 1:

For a given triangle rectangle with a known angle θ and a hypotenuse H, we can write the trigonometric relations -

sin(θ) = (opposite side)/Hypotenuse

cos(θ) = (adjacent side)/Hypotenuse

tan(θ) = (opposite side)/(adjacent side)

Now, in the given image we can see that:

θ = 30°

H = 50m

XY = adjacent side

YZ = opposite side.

We want to find YZ, so with the known things, we can use the first relation:

sin(30°) = YZ/50m

YZ = sin(30°) * 50m

YZ = 1/2 *50m

YZ = 25m

Method 2:

We know that the sum of the measure of all the internal angles of a triangle is always equal to 180°.

In a right-angled triangle, we have an angle equal to 90°.

Then we can write -

Z + 90° + 30° = 180°

Z = 180° - 90° - 30°

Z = 60°

From this angle, the side YZ is the adjacent side, then we can use the second trigonometric relation:

cos (60°) = YZ/50m

YZ = cos(60°) * 50m

YZ = 1/2 *50m

YZ = 25m

Method 3:

With the same angle of 60° we could find side XY, the opposite side as follows:

sin(60°) = XY/50m

XY = sin(60°) * 50m

XY = √3/2 *50m

XY = 25m

Now that we know one of the sides, we can use the last trigonometric relation-

tan(60°) = XY/YZ

tan(60°) = 43.3m/YZ

YZ =  43.3m/tan(60°)

YZ = 25m

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The complete question is -

Describe three ways to determine the measure of segment YZ.

Triangle XYZ is shown. Angle XYZ is a right angle and angle ZXY is 30 degrees. The length of hypotenuse XZ is 50 meters.

Answer:

4 + 2 = 6

Step-by-step explanation:

If you put up 4 figers and 2 figers and count it

will give you the sum of 6

Answer:

wouldn't it be 3:20 P.M.?

Answer:

3:20

Step-by-step explanation:

4:40- 1 hour 3:40- 20 equals 3:20

Answer:

Step-by-step explanation:

So in your account you got $175.29

Then you deposit mean increase the amount of money in your account by $48.75

So: 175.29+48.75 = 224.04

The price is $249.99

So: 249.99 - 224.04 = $25.95

You need to save $25.95 in order to buy your cell phone

To buy the cellphone of worth $249.99, additional $25.95 are required.

Calculate the answer using a math operator is referred to as a mathematical operation.

Basic mathematical operations are addition, multiplication, subtraction and division.

Given that,

The price of cellphone = $249.99

The amount in saving account = $175.29

Additional amount deposit in account = $48.75

Total amount in account after deposit = 175.29 + 48.75 = 224.04

Since, the price of cellphone is $249.99

And the amount in account = 224.04

So the more amount required = 249.99 - 224.04 = 25.95

To buy the cell phone $25.95 are required.

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When children create an imaginary town with various blocks and figurines, they are learning through play and engaging in important cognitive and social development processes.

1. Imagination and Creativity: Building an imaginary town involves using their imagination and creativity to create a world of their own. This helps children develop their cognitive skills by coming up with ideas, planning and problem-solving.

2. Language and Communication: During play, children may engage in pretend conversations and storytelling, which helps enhance their language skills and vocabulary. They may also negotiate and cooperate with others, improving their social communication skills.

3. Fine Motor Skills: Manipulating blocks and figurines requires the use of fine motor skills. Children practice hand-eye coordination, dexterity, and control while building and arranging their town.

4. Social Skills: Collaborating with others in creating the town encourages teamwork, sharing, and turn-taking. Children learn to negotiate, compromise, and solve conflicts, promoting social and emotional development.

5. Cognitive Development: Creating an imaginary town involves categorization, spatial awareness, and problem-solving skills. Children learn to organize and categorize blocks, create different structures, and explore cause-and-effect relationships.

In conclusion, when children engage in creating an imaginary town with blocks and figurines, they develop various skills such as imagination, creativity, language, fine motor, social, and cognitive skills. Through this play activity, children learn and grow in multiple ways, contributing to their overall development.

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Answer:

82

Step-by-step explanation:

shown in the image. hope it helps :)

At the intersection of lines b and e, the bottom right angle is x degrees. the value of x is Option B ; 82.

Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.

We know that the point where two lines meet is known as an angle.

We can conclude that lines e and f are parallel because their alternate exterior angle is congruent.

y + x = 180

x = 180 - 98

x = 82

Thus, At the intersection of lines b and e, the bottom right angle is x degrees. the value of x is Option B ; 82.

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Answer:

27,000 or D

Step-by-step explanation:

30 x 30 x 30 = the answer on edge <3 good luckkk

Answer:

Step-by-step explanation:

30-2(7+2)-1

= 30 - 2(9) - 1

= 30 - 18 - 1

= 11

Answer:

Step-by-step explanation:The sum of three times a number and 2 less than 4 times that same number is 61.

To find:

The equation and the value of the unknown number.

Solution:

Let the number be x.

Since the sum of three times a number and 2 less than 4 times that same number is 61, thus the equation will be:

3x + (4x-2) = 61

On solving, we get:

7x - 2 = 61

7x = 63

x = 9

Thus, the equation will be 3x + (4x-2) = 61 and the value of the unknown number will be 9.

Answer:

248 mph (miles per hour)

Step-by-step explanation:

744 miles (in 3 hours) ÷ 3 hours = 248 mph (miles per hour)

Check if answer is correct:

248 mph × 3 hours = 744 miles in 3 hours

Final answer:

248 mph

Hopefully this helps! Sorry if wrong. You are loved and you are beautiful/handsome!

-Bee

The probability that a male chosen at random watches comedy is 0.333.

When an occurrence A is predicated on another event B having already happened, the conditional probability is:

P(A/B) = P(A∩B)/P(B) =  n(A∩B)/n(B)

Let,

M denotes a male was selected

C denotes a person's favorite genre is comedy

n (M) denotes the number of males in the survey

Then n (M) = 15

The number of males in the survey who watches comedy,

n (M ∩ C) = 5

The probability that a male chosen at random watches comedy as follows:

P(C/M) = n(M∩C)/n(M)  = 5/15

                                     = 1/3 =0.333

Hence,

Required probability P(C/M) = 0.333

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The complete question is:

A survey asked 30 people what their favorite genre of television broadcasting was, and the results were tabulated above. Find the probability that a person chosen at random was female, given that they like comedy. Round the answer to the nearest hundredth.

                Male      Female     Total

Sports          8              3               11

Drama          2              6               8

Comedy       5              6               11

Total            15             15             30

Research has shown that competent communicators achieve effectiveness by adjusting their behaviors to the person and situation (option e).

Effective communication involves being adaptable and responsive to the specific context, individual preferences, and the needs of the situation.

Competent communicators recognize that different people have different communication styles, preferences, and expectations. They understand the importance of tailoring their communication approach to effectively connect and engage with others.

This may involve using appropriate language, tone, non-verbal cues, and listening actively to understand the needs and perspectives of others.

By adapting their behaviors, competent communicators can build rapport, foster understanding, and promote effective communication exchanges. They are mindful of the social and cultural dynamics at play, and they strive to communicate in a way that is respectful, inclusive, and conducive to achieving mutual goals.

In summary, competent communicators understand that effective communication is not a one-size-fits-all approach. They adjust their behaviors to the person and situation, demonstrating flexibility and adaptability in order to enhance communication effectiveness.

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Competent communicators achieve effectiveness mostly by adjusting their behaviors to suit the person they are communicating with and the situation they find themselves in. While other factors, like having a broad vocabulary or giving feedback, play a part in effective communication, the former is considered the most crucial.

Research suggests that competent communicators achieve effectiveness mostly through adjusting their behaviors depending on the person they are communicating with and the situation they are in. This is option e. of your question. Communicating effectively involves behaviors like active listening, understanding the other person's point of view, being able to express thoughts and ideas clearly, and being polite and respectful. While a broad vocabulary (option b.) can be useful, it is not as crucial as adapting your behavior to fit the situation. Moreover, giving feedback (option d.) is a part of effective communication but not the sole defining factor. Apologizing when offending others (option c.) is also important but it doesn't necessarily make one a competent communicator. Using the same type of behavior in various situations (option a.) might not always work, as different situations and individuals require different communication styles.

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The probability of getting three heads when tossing three coins is 1/2 x 1/2 x 1/2 = 1/8.

1/8

The probability of getting a head or a tail when flipping a coin is 1/2.  

Therefore, the probability of getting two heads when tossing two coins is 1/2 x 1/2 = 1/4.

The probability of getting three heads when tossing three coins is 1/2 x 1/2 x 1/2 = 1/8.

Since each person is tossing three coins, the probability that they both obtain the same number of heads is 1/8.

The probability of getting n heads when tossing n coins is 1/2^n. Therefore, the probability of getting the same number of heads when two people toss n coins is 1/2^n. This means that if two people each toss a coin, the probability that they both get heads is 1/4; if they each toss two coins, the probability that they both get two heads is 1/16; if they each toss three coins, the probability that they both get three heads is 1/64; and so on.

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They should use 6 cup of Noah's measuring cup

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

To solve this problem we must perform the following algebraic operations with the given information

Information about the problem:

Calculating the number of cup the should use:

Number of cup = Recipe call / Noah's cup

Number of cup = (3/4) / (1/8)

Number of cup = 3*8 / 4*1

Number of cup = 24/4

Number of cup = 6

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Correctly written question:

Melanie and Noah are baking a birthday cake for Francesca. The recipe call for 3/4 measuring cup and Noah has a 1/8 measuring cup. Which cup should they use?

By the symmetric property of congruence is  ∠FSJ ≅∠UPR.

It is required to find the solution.

Symmetry is defined as a proportionate and balanced similarity that is found in two halves of an object, that is, one-half is the mirror image of the other half. A 2D shape is symmetrical if a line can be drawn through it and either side is a reflection of the other.

Given:

The symmetric property is if y = x then x = y. The order of what is on the left or right side of the equation does not matter. It's like saying 2+3 = 5 is the same as 5 = 2+3.

According to given question we have,

This idea can be extended to congruences because congruent angles have the same measure.

Congruent angles are two or more angles that are identical to each other. Thus, the measure of these angles is equal to each other.

So, ∠UPR ≅∠FSJ, then ∠FSJ ≅∠UPR.

Therefore, by the symmetric property of congruence is  ∠FSJ ≅∠UPR.

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1 - According to the conjugate zeros theorem if a complex number is the root of a polynomial its conjugate is a root as well.

2 - So the conjugates of i, -7i would be

-i, 7i, so

-i , 7i would ALSO be roots of the polynomial according to the conjugates zeros theorem and those are the two roots we were missing.

Answer:

Im pretty sure its 36.

Step-by-step explanation:

9x2=18x2=36

I might not be fully correct though.

Answer:

above is the solution to the question

Answer: 1264.2857%

Step-by-step explanation:

Answer:

She earned 67.29% profit

Step-by-step explanation:

First let's find how much she spent on the coats.

50 x $28

$1400

So, her expense was $1400

Now, let's find how much she earned selling these coats.

We know she sold 38 of these coats at $49 each. Let's find how much she earned for these 38 coats.

38 x $49

$1862

She earned $1862 on these 38 coats.

Now, let's find how much she earned on the rest of the coats (50-38 which is 12). We know she sold the remaining for $40 each.

12 x $40

$480

She earned $480 on the rest of the coats.

The total she earned $2342

To find the profit:

Profit= $ Earned - Expenses

Profit= 2342-1400

Profit=$942

The question is asking for the percentage.

To find the percentage, we can use the percentage formula:

\(\frac{Profit}{Expense}\) x 100

We know that the profit is $942 and the expense is $1400

(We want to find how much profit she made out of the expense)

\(\frac{942}{1400}\) x \(\frac{100}{1}\)

If you round your answer, you will get 67.29

Answer: She earned 67.29% profit

The probability that student chosen at random is 16 years is 0.28.

The table shows the distribution of student by age in a high school with 1500 students. Therefore, the probability that randomly chosen student is  16 years can be found as follows:

Therefore,

probability = number of favourable outcome to age / total number of possible outcome

Hence,

probability that student chosen at random is 16 years =  420 / 150

probability that student chosen at random is 16 years = 0.28

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Answer:

2x - 5 =4

+5 both side

2x =9

÷2 both side

x=4.5

So it must be x=-4.5 or 4.5

Since our test statistic of 2.727 is greater than the critical value, we reject the null hypothesis and conclude that there is sufficient evidence to support the claim that more than 30% of people have considered a career in science.

To test whether more than 30% of people have considered a career in science, we can use a one-sample proportion hypothesis test. Let p be the true proportion of people who have considered a career in science.

Our null hypothesis is that the true proportion is 0.30 or less, and our alternative hypothesis is that the true proportion is greater than 0.30.

H0: p <= 0.30

Ha: p > 0.30

We can use the sample proportion of 178/514 = 0.346 to estimate the true proportion p. The standard error of the sample proportion is:

√[(0.30 * 0.70) / 514] = 0.022

Using the normal approximation to the binomial distribution, we can calculate the test statistic:

z = (0.346 - 0.30) / 0.022 = 2.727

At the α = 0.05 level of significance, the critical value for a one-tailed test is 1.645.

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Demographics variables include the characteristics of a population, similar as age, gender, race, education, income, occupation, and geographic position.

 Demographic shifts can have a conspicuous impact on the request in the coming 10 times. One of the significant demographic shifts is the growing population.

The growing population will have a conspicuous impact on the healthcare request as they need further medical care as they progress.

The growing population also has an impact on the casing request as they're looking to reduce or move to withdrawal communities. Another demographic shift that will have a conspicuous impact on the request is the increase in diversity in the population.

The increase in diversity will impact the food and libation request as different societies have different salutary requirements and preferences. It'll also impact the marketing fashion request as different societies have different fashion styles and preferences.

An illustration of a folklore is the LGBTQ community. The unique marketing aspect of this folklore is the need for addition and acceptance. Companies can reach out to this folklore by featuring LGBTQ individualities in their announcements. An illustration of this is the recent Coca- Cola announcement featuring a same- coitus couple.

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En la reunión semanal había 24 personas.

Los asistentes, hoy, a la reunión semanal de un club social se pueden agrupar por parejas para bailar, por tríos para hacer manualidades, y de 4 en 4 para jugar bingo, y en ninguno de esos casos queda nadie sin grupo, para determinar cuántas personas son si casi llegan a 25 se debe realizar el siguiente cálculo, obteniendo el múltiplo común entre estos números:

Por lo tanto, en la reunión semanal había 24 personas.

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Answer: 0.0036173633440514 = \(\frac{9}{2,488}\)

Answer:

00.0036173633

Step-by-step explanation:

use calculator

Answer:

Step-by-step explanation:

a state of commotion and noise and confusion

a loud, confused noise, esp. one caused by a large mass of people

In my words: noise/racket

In the text: He just managed to catch hold of Dori's legs, as Dori was borne off last of all; and up they went together above the tumult and the burning.