Use implicit differentiation to find an equation of the tangent
line to the curve at the given point: ysin8x=xcos8y,[pi/8.pi/16)
explain your answer

The net force acting on the object is 3456 N, the objective with an acceleration.

The net force applied to an object is equal to the product of its mass and acceleration, according to Newton's second law of motion. Mathematically, this can be represented as:

Fnet = ma

Where Fnet is the net force, m is the mass, and a is the acceleration. In your scenario, the net force applied to the object is 125 N, and its acceleration is 24.0 m/s2. Therefore, we can rearrange the formula and solve for the mass of the object as follows:

m = Fnet / a
m = 125 N / 24.0 m/s2
m = 5.21 kg

However, this answer does not match the given mass of the object, which is 144 kg. This suggests that there may be an error in one of the values provided. Assuming the mass of the object is actually 144 kg, we can use the same formula to solve for the net force acting on it as follows:

Fnet = ma
Fnet = 144 kg * 24.0 m/s2
Fnet = 3456 N

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The mass of an object with net force value = 125 Newton and acceleration of 24.0 m/s² is equals to the 5.208 kg. So, option(c) is right one.

The force formula is derived by Newton's second law of motion. The basic formula force applied on object is F = ma, which implies that net force is equals to product of mass and acceleration of an object. We have an object with the following information, Net applied force on object, F = 125 N

Acceleration of an object, a = 24.0 m/s²

We have to determine mass of object. Using the above force formula, F = M× a

where M --> mass in kilograms

a --> Acceleration in m/s²

F --> net force in Newton

Substitute all known values in above formula, 125 N = M × 24.0 m/s²

=> M = = \(\frac{125}{24}\)

=> M = 5.208 kg

Hence, required value is 5.208 kg.

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Complete question:

A net force of 125 N is applied to a certain object. As a result, the object accelerates with an acceleration of 24.0 m/s^2. The mass of the object is ?

a) 144 kg

b) 236 kg

c) 5.208 kg

d) 459 kg

The probability of a randomly selected American Airlines flight not arriving on time is 0.197 or 19.7%.

If 80.3% of American Airlines flights arrive on time, then the probability of a randomly selected American Airlines flight arriving on time is 0.803.

To find the probability of a randomly selected American Airlines flight not arriving on time, we can subtract this probability from 1 since the sum of all possible outcomes must equal 1.

Probability of not arriving on time = 1 - Probability of arriving on time

Probability of not arriving on time = 1 - 0.803

Probability of not arriving on time = 0.197

Therefore, the probability of randomly selecting an American Airlines flight that does not arrive on time is 0.197 or 19.7%.

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The value of g is g = w² - 14w + 49, according to the question.

What do you mean by formula?

A truth or a rule expressed using mathematical symbols is the formula. An equal sign is typically used to connect two or more values. When you are aware of the value of one quantity, you can use the formula to determine the value of the other. It facilitates speedy question resolution. Formulas are used in algebra, geometry, and other subjects to speed up and simplify the process of arriving at the result.

According to the given question,

We have :

w = 7 - √g

Firstly isolate the g,

w = 7 - √g

Do the opposite of PEMDAS, first subtract 7 from both sides,,

w (-7) = -√g + 7 (-7)

w - 7 = -√g

Now, multiply -1 (as -√g is the same as -1√g) to both sides

-1(w - 7) = √g

-1w + 7 = √g

To get rid of the square root, you must square both sides,

Note: -1w is the same as -w.

Note: you are squaring all the terms on the other side, not just one.

(-w + 7)² = (√g)²

g = (-w + 7)²

g = (-w + 7)(-w + 7) (note, this can be the answer your teacher wants, or                                            g = (-w + 7)²    )

Use the FOIL method (First, Outside, Inside, Last)

(-w)(-w) = w²

(-w)(7) = -7w

(7)(-w) = -7w

(7)(7) = 49

g = w² - 7w - 7w + 49

Then, simplify (combine all like terms):

g =w² - 7w - 7w + 49

g = w² - 14w + 49

Therefore, the value of g = w² - 14w + 49 .

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A hurricane is a big rotating storm system that develops over warm ocean waters and usually travels westward toward the American mainland.

An Atlantic Ocean hurricane or a northern Pacific Ocean hurricane is a tropical storm. In most years, hurricanes develop between June 1 and November 30. The Taino Indian word "hurakan," which means "god of wind," is where the word "hurricane" originates.

A hurricane is a big rotating storm system that develops over warm ocean waters and usually travels westward toward the American mainland. Depending on the maximum sustained wind speeds, hurricanes are either classed as tropical storms or hurricanes. Hurricanes have winds of 74 mph or more, whereas tropical storms have winds of 39 to 73 mph.

The hurricane's eye, which is a calm, clear region encircled by powerful winds, is the most hazardous component of the storm. The hurricane's eye, which can be up to 30 miles across, frequently experiences the storm's greatest rains and highest winds.

A hurricane's landfall can result in flooding from storm surges, strong winds, and heavy rains. The increase in sea level that happens as a cyclone nears land is known as a storm surge. Along with coastal locations, this increase in water level has the potential to inflict significant harm and flooding.

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The gravitational potential energy of the vacationers will decrease as they approach the end of the pier.

As the vacationers approach the end of the pier, their gravitational potential energy will decrease.

Gravitational potential energy is the energy an object possesses due to its position in a gravitational field. It depends on the height of the object and the acceleration due to gravity.

In this scenario, as the vacationers walk out on the horizontal pier, their height above the ground remains constant. Since the height does not change, the gravitational potential energy also remains constant.

However, as they approach the end of the pier, their distance from the center of the Earth decreases. As a result, the gravitational potential energy decreases because it is directly proportional to the distance from the center of the Earth.

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Answer:

no images are available here

The correct answer is B. The range does not use all the observations. The range is a measure of dispersion that only considers the difference between the maximum and minimum values in a data set.

This means that it does not take into account the distribution of the other observations in the data set. On the other hand, the standard deviation considers all the observations and measures how far, on average, each observation is from the mean. It is a more comprehensive measure of dispersion because it takes into account the spread of the data around the mean. Therefore, the standard deviation is generally considered a more desirable measure of dispersion compared to the range. The range does not use all the observations. The range, which is the difference between the highest and lowest values, only considers the two extreme data points. In contrast, the standard deviation takes into account the deviation of all observations from the mean, providing a more comprehensive measure of dispersion. The range can be less reliable in cases where extreme values are present, as it does not reflect the variability within the entire dataset.

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Answer:

D

Step-by-step explanation:

So we have the expression:

\((3x^2-5x+6)+(9-8x-4x^2)\)

Combine like terms:

\(=(3x^2-4x^2)+(-5x-8x)+(6+9)\)

Add or subtract:

\(=(-1x^2)+(-13x)+(15)\)

Simplify:

\(=-x^2-13x+15\)

Our answer is D

a. There are 933 chocolate bars

b. There are 1200 chocolate bars

c. There are 1580 chocolate bars

Since there are 5 different flavors,

let

Since the different flavors are always produced in the same proportions, for every 4 coconut flavored bars 5 honeycomb 6 orange 1 coffee and 4 strawberry

So, the ratio of their proportions are x:y:z:a:b = 6:4:2:1:5

So, the total ratio is T = 6 + 4 + 1 + 4 + 5 = 20

Since we have 6 orange flavored bars, the ratio of orange flavored bars to total is 6/20

So, the amount of orange flavored bars is x = 6/20 × X

Making X subject of the formula, we have

X = 20x/6

So, if there are 280 orange bars, there will be

X = 20x/6

X = 20 × 280/6

X = 5600/6

X = 933.33

X ≅ 933 chocolate bars

So, there are 933 chocolate bars

Since we have 4 coconut flavored bars, the ratio of coconut flavored bars to total is 4/20

So, the amount of coconut flavored bars is y = 4/20 × X

Making X subject of the formula, we have

X = 20y/4

So, if there are 960 coconut flavored bars, there will be

X = 20y/6

X = 20 × 960/4

X = 5 × 240

X = 1200 chocolate bars

So, there are 1200 chocolate bars

Since we have 1 coffee flavored bars, the ratio of coffee flavored bars to total is 1/20

So, the amount of coconut flavored bars is z = 1/20 × X

Making X subject of the formula, we have

X = 20z

So, if there are 79 coffee flavored bars, there will be

X = 20z

X = 20 × 79

X = 1580 chocolate bars

So, there are 1580 chocolate bars

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To construct a 98% confidence interval for B₁, we can use the t-distribution since the sample size is small (n = 12).

Given the sample mean (B₁ = 46), sample standard deviation (s = 5.7), and sum of squares (SSzz = 57), we can calculate the confidence interval.

The formula for a confidence interval is:

Confidence Interval = Sample Mean ± (Critical Value * Standard Error)

For a 98% confidence level and n = 12, the critical value is approximately 2.681 (obtained from a t-distribution table).

The standard error is calculated as the sample standard deviation divided by the square root of the sample size (s / √n).

Plugging in the values:

Standard Error = 5.7 / √12 ≈ 1.647

Confidence Interval = 46 ± (2.681 * 1.647)

Therefore, the 98% confidence interval for B₁ is approximately (42.21, 49.79).

In conclusion, we can be 98% confident that the true value of B₁ falls within the range of 42.21 to 49.79 based on the given sample data.

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Answer:

72.2

Step-by-step explanation:

Monday: 78.8

Tuesday: 78.8 - 6.6 = 72.2

The statement is subjective and can depend on the purpose and scope of the research. However, in general, an introductory section is helpful in presenting the research methods and statistical calculations.

The introductory section provides an overview of the study, including the research question, objectives, and hypotheses. It also explains the significance of the study and its contribution to the existing knowledge in the field. Additionally, it outlines the methodology used in the study, including the research design, sampling techniques, data collection methods, and statistical analysis techniques.

The introductory section also presents the statistical calculations used in the study. It should explain the statistical methods used to analyze the data, including descriptive statistics, inferential statistics, and any other advanced statistical techniques. The statistical calculations should be presented in a clear and concise manner, including the formulas used and the interpretation of the results. The introductory section should also provide the reader with an understanding of the statistical assumptions made in the study and any limitations to the study's findings.

Overall, an introductory section is an essential component of a research report as it provides the reader with an overview of the study and helps them understand the methodology and statistical calculations used.

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Answer:

o

Step-by-step explanation:

o

thx for the points :D

Mrs. Thomas has $71.00 to purchase bottles of juice for her class. If the bottles of juice cost $3.55 each, how many bottles can she buy?

2 bottles

5 bottles

20 bottles

25 bottle

the is c 20 bottles          

Answer:

1. 13x+4        2.   -6x-7      3.  -8x-7      4.   7x+3/x+2     5.  -3        9x2+24x+15/3x+2   6.

Step-by-step explanation:

number 4 is a fraction answer so put 7x+3 at the top x+2 at the bottom

number 6 is a fraction answer so 9x2+24x+15 at the top rest at the bottom

also, 2 is the exponent for number 6

sorry, I didn't do number 7 it's kinda complicated.

Answer:

What do you need help with? Please go easy on me. I'm just a kid.

Step-by-step explanation:

Answer: Arnav is 1.8m

Step-by-step explanation: I multiplied 1.5 by 0.20 and then added that answer to 1.5 and then I got 1.8

:D

Answer:

1.5 x 2= 3m its really just that easy.... it took me a while to learn this trick but it works for most things.

Answer:

5 ...

Step-by-step explanation:

add 3 more to 2

Answer:

It’s 5

Step-by-step explanation:

Given:

\(a=-\dfrac{3}{4}\)

\(b=\dfrac{4}{5}\)

To verify:

\(a\div b\neq b\div a\)

Solution:

We have,

\(a=-\dfrac{3}{4}\)

\(b=\dfrac{4}{5}\)

Now,

\(a\div b=\dfrac{a}{b}\)

\(a\div b=\dfrac{-\dfrac{3}{4}}{\dfrac{4}{5}}\)

\(a\div b=-\dfrac{3}{4}\times \dfrac{5}{4}\)

\(a\div b=-\dfrac{15}{16}\)               ...(i)

And,

\(b\div a=\dfrac{b}{a}\)

\(b\div a=\dfrac{\dfrac{4}{5}}{-\dfrac{3}{4}}\)

\(b\div a=\dfrac{4}{5}\times (-\dfrac{4}{3})\)

\(b\div a=-\dfrac{16}{15}\)               ...(ii)

From (i) and (ii), it is clear that

\(a\div b\neq b\div a\)

Hence verified.

Answer:

1/2

Step-by-step explanation:

The simplified form of the expression 2x^2 - 3x - 2 remains as 2x^2 - 3x - 2.

To simplify the expression 8x - 2x - x^2, we can combine like terms by adding or subtracting coefficients.

8x - 2x - x^2

First, let's combine the x terms:

(8x - 2x) - x^2

This simplifies to:

6x - x^2

Therefore, the simplified form of the expression 8x - 2x - x^2 is 6x - x^2.

Now, let's simplify the expression 2x^2 - 3x - 2:

The expression is already in simplified form, and no further simplification is possible.

Therefore, the simplified form of the expression 2x^2 - 3x - 2 remains as 2x^2 - 3x - 2.

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Answer:

m=7

Step-by-step explanation:

subract 35 from both sides to isolate the variable. Then you should be left with 5m=35. From there, divide both sides to isolate the variable even more, and you should be left with m=35/5 which is 7.

Answer: m=7

Step-by-step explanation:

\(5m+35=70\)

subtract 35 on both sides

\(5m+35-35=70-35\)

\(5m=35\)

divide 5 on both sides

\(35/5=7\)

\(m=7\)

28inch^2

Rectangle:

[Length x Breadth]

5 + 3 = 8inch

8 x 2.5 = 20inch^2

Right Triangle:

[1/2 x Base x Height]

1/2 x 5 x 2 = 1/2 x 10

= 5inch^2

Left Triangle:

[1/2 x Base x Height]

1/2 x 3 x 2 = 1/2 x 6

= 3inch^2

20 + 5 + 3 = 28inch^2

Density = Mass / Volume, so you could use that information to solve for each value in the graph.

2. Mass = Density * Volume = 8.07 * 1.04 = 8.59 g

3. Volume = Mass / Density = 8.26 / 8.10 = 1.02 mL

4. Density = Mass / Volume = 7.91 / 0.99 = 7.99 g/mL

5. Mass = Density * Volume = 8.05 * 0.98 = 7.89 g

6. Volume = Mass / Density = 8.53 / 8.05 = 1.06 mL

The two statements "if it is a triangle, then it has three sides and If it does not have three sides, then it is not a triangle is logically equivalent

A sentence is logically equivalent if the two sentences are true in exactly the same circumstances or false in exactly the same circumstances.

From the question we have two statements

Statement 1: If it is a triangle, then it has three sides.

Statement 2: If it does not have three sides, then it is not a triangle.

Since a triangle only have 3 sides and any contradiction makes the statement false, hence we can conclude that the two statements "if it is a triangle, then it has three sides and If it does not have three sides, then it is not a triangle is logically equivalent

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Step-by-step explanation:

The line representing the equation 7x1 + 4x2 = 28 goes through the points (4,0) and (0,7).

The highest power of 2 that is less than or equal to 1000 is 2^9, which gives us the required representation of 1000.

In mathematics, a base is the number of digits or distinct symbols used to represent numbers in a positional numeral system. For example, in the decimal system (which we commonly use), the base is 10 because we use 10 distinct digits from 0 to 9.

Now, let's consider the number 1000. In order to find the lowest base in which this could be a valid number, we need to break down 1000 into its constituent digits. Since 1000 has 4 digits, we can represent it as:

1000 = 1 x base^3 + 0 x base^2 + 0 x base^1 + 0 x base^0

where base is the number system we are using. Now, we need to find the lowest value of base that makes this equation valid.

We can see that if we set base = 2, then the equation becomes:

1000 = 1 x 2^9 + 0 x 2^8 + 0 x 2^7 + 0 x 2^6 + 0 x 2^5 + 0 x 2^4 + 0 x 2^3 + 0 x 2^2 + 0 x 2^1 + 0 x 2^0

Here, we have used the binary system, which has a base of 2. As we can see, the highest power of 2 that is less than or equal to 1000 is 2^9, which gives us the required representation of 1000.

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Answer:

8

Step-by-step explanation:

If my calculations are correct the third side is 8

Answer:

\(\frac{4}{5}\)

Step-by-step explanation: