What is the radius of the circle if it has a circumference of 153. 86153. 86153, point, 86 units

The equation of the boundary line is y< x/6 -4.

What is graph of an inequality?

Graphing inequalities is that the method of showing what a part of the amount line contains values which will "satisfy" the given difference.

Main body:

From the given graph, it can be noticed that the boundary is a line that is passing through the points (0,-4) and (6,-3)

Therefore, the equation of the boundary can be found out by finding the equation of the line which is passing through the points (0,-4) and (6,-3).

It is known that the equation of a line passing through the points (x₁,y₁)  and  (x₂,y₂) is:

Therefore, the equation of the line passing through the points (0,-4) and (6,-3) is:

y - (-4) = (-3+4/6-0) * (x-0)

y+4 = x/6

6(y+4) = x

6y+24 = x

y = x/6 -4

Therefore, the equation of the boundary line is y = x/6 -4.

From the given graph, it can be noticed that the boundary is drawn by the dotted line that implies the inequality will not contain the equality sign.

Therefore, it can be noticed that point (0,0) satisfies the inequality

y < x/6 -4.

Therefore, the equation of the boundary line is y< x/6 -4.

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Answer:

12

Step-by-step explanation:

∛1728 = ∛2*2*2*2*2*2*3*3*3*3 = 2*2*3 = 12

Answer:12

Step-by-step explanation: Using Prime Factorization Method

1728=2*2*2*2*2*2*3*3*3

1728=(2*2*2)(2*2*2)(3*3*3)

1728=2^3 *2^3*2

Cube root the number above you would get 2*2*3=12.

A news story with the help of following clues is given below.

Here, we have,

In a shocking incident, the son of the Far West Chief Minister was kidnapped on his way to college. The kidnappers have demanded a ransom of 10,00000/- for his release. The identity of the kidnappers is still unknown, and the police are currently conducting a thorough investigation.

According to sources, there was no specific enmity seen against the Chief Minister's son, and it is unclear why he was targeted. However, the police have stated that they suspect the involvement of a cross-border gang in the kidnapping.

The Chief Minister has appealed for his son's safe return and has assured the kidnappers that the ransom would be paid. Meanwhile, the police have launched a massive search operation to locate and rescue the victim.

The entire state is in shock over the incident, and citizens have expressed their outrage and concern over the safety of their children. The government has assured the public that all measures are being taken to ensure the safe return of the Chief Minister's son.

The investigation is still ongoing, and the police have requested the public to come forward with any information that may help in the case. The entire state is praying for the safe return of the Chief Minister's son, and everyone is hopeful that he will be reunited with his family soon.

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complete question:

Make a news story with the help of following clues. [7] Far West Chief Minister's son kidnapped---Son on the way to college- kidnappers unknown-asking for ransom of 10,00000/- ------no specific enmity seen----investigation continue---suspicion of police is on a gang of cross border.​

The p-value of the test is 0.1515 which concludes that the average amount of arsenic in chicken from suppliers is 80 ppb.

The test hypothesis is as follows:

H₀: The mean amount of arsenic is 80 ppb, i.e. μ= 80.

Hₐ: The mean amount of arsenic is more significant than 80 ppb, i.e.μ > 80.

We will apply a t-test for a single mean because the population standard deviation is unknown,

It is assumed that the sample means  \(\bar{x}\) = 91.

The adjusted sample presented is:

S = { 62, 78, 89, 95, 95, 137}

Calculate the sample standard deviation as follows:

\(\bar{x}\) = 62 + 78 + 89  + 95 + 95 + 137 =80

\(s =\sqrt{\frac{1}{6-1} \times [(62-80)^2 + (78-80)^2 + (89-80)^2 + (95-80)^2 + (95-80)^2 + (137-80)^2]}\)

s =28.66

\(t =\dfrac{\bar{x}-\mu}{s/ \sqrt{n} } = \dfrac{{91}-80}{28.6/ \sqrt{6} }=0.94\)

Thus, the test statistic value is 0.94.

Compute the p-value of the test as follows:

p-value = p(tₙ₋₁ < t)

p-value = p(t₆₋₁ < t)

p-value = p(t₅ < t)

*Make use of a t-table.

As a result, the test has a p-value of 0.1515.

Rule of decision:

The null hypothesis will be rejected if the p-value of the test is less than the significance threshold, and vice versa.

p-value = 0.1515 > α = 0.05

At 5% significance, the null hypothesis will not be rejected.

As a result, we may conclude that the average amount of arsenic in chicken from suppliers is 80 ppb.

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Answer: 2,457 and 584

Step-by-step explanation:

7,371 divided by 3 equals 2,457.

4,088 divided by 7 equals 584.

If we are to test for the equality of block effects (Drivers), then we will use F2 = MSRow /MSError.

To find the test statistic:

(Consider the table for variables and given data.)

Now, we are asked to only deal with finding the value of the test statistic for testing whether the average gas mileage is the same for the four car models.

That is testing for the equality of Population means and the test statistic for the analysis of variance is:

And the hypotheses are:

Decision Rule: Reject H0 if the calculated value of F1 is its critical value F,(c-1), (c-1)(r-1) Otherwise, accept H0.

Meanwhile, if we are to test for the equality of block effects (Drivers), then we will use F2 = MSRow /MSError.

Therefore, if we are to test for the equality of block effects (Drivers), then we will use F2 = MSRow /MSError.

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The complete question is given below:

A car dealer is interested in comparing the average gas mileages of four different car models. The dealer believes that the average gas mileage of a particular car will vary depending on the person who is driving the car due to different driving styles. Because of this, he decides to use a randomized block design. He randomly selects five drivers and asks them to drive each of the cars. He then determines the average gas mileage for each car and each driver. Can the dealer conclude that there is a significant difference in average gas mileages of the four car models? The results of the study are as follows. Average Gas Mileage Driver Car A Car B Car C Car D Driver 1 29 31 20 34 Driver 2 27 37 35 39 Driver 3 24 23 31 23 Driver 4 38 24 22 38 Driver 5 20 33 37 36 ANOVA Source of Variation SS df MS Rows 190.2000 4 47.5500 Columns 114.5500 3 38.1833 Error 534.2000 12 44.5167 Total 838.9500 19 Step 1 of 3: Find the value of the test statistic for testing whether the average gas mileage is the same for the four car models. Round your answer to two decimal places, if necessary.

Answer:

Area is = 40

Explanation:

To find the area of a parralelgram use this formula A=b×h

So . .

The base is 20 feet and the height is 4 feet.

So . .

A= 20 × 4 = 40

A=40

Joining weight loss groups improves weight loss outcomes compared to attempting weight loss alone.

Research has consistently shown that people who join weight loss groups tend to achieve better weight loss results compared to those who try to lose weight on their own. These groups, often led by professionals or experts in the field, provide a supportive and structured environment for individuals to work towards their weight loss goals. The benefits of weight loss groups can be attributed to several factors.

Firstly, weight loss groups offer a sense of community and social support. By sharing experiences, challenges, and successes with others who are on a similar journey, participants feel motivated, encouraged, and accountable. This camaraderie fosters a positive environment where individuals can learn from one another, exchange tips, and offer practical advice.

Secondly, weight loss groups provide education and knowledge about effective weight loss strategies. Professionals leading these groups can offer evidence-based information on nutrition, exercise, behavior change, and other relevant topics. This guidance equips participants with the necessary tools and skills to make sustainable lifestyle changes, ultimately leading to successful weight loss.

Lastly, weight loss groups often incorporate goal setting and tracking mechanisms. By setting specific and achievable goals, participants have a clear focus and direction. Regular progress tracking, whether it's through weigh-ins or other forms of measurement, helps individuals stay accountable and motivated. The group setting provides an additional layer of accountability, as members share their progress and celebrate milestones together.

In conclusion, research consistently demonstrates that people who join weight loss groups tend to achieve better weight loss outcomes compared to those who attempt to lose weight on their own. The social support, education, and goal-oriented approach offered by these groups contribute to their effectiveness. By joining a weight loss group, individuals can benefit from the collective knowledge and experience of the group, enhancing their chances of successful weight loss.

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Answer:

11.25cm

Step-by-step explanation:

1.5x3=4.5

4.5x2=9

1.5x1.5=2.25

9+2.25=11.25

Since the z-score of 2.24 is within ±2 standard deviations from the mean, it is not considered unusual.

To calculate the z-score for a person who received a score of 82, we can use the formula:

z = (x - μ) / σ

where:

x = individual score

μ = mean

σ = standard deviation

Given:

x = 82

μ = 71

σ = 4.9

Plugging in these values into the formula:

z = (82 - 71) / 4.9

z = 11 / 4.9

z ≈ 2.24 (rounded to 2 decimal places)

The z-score for a person who received a score of 82 is approximately 2.24.

To determine if this z-score is unusual, we can compare it to the standard normal distribution. In the standard normal distribution, approximately 95% of the data falls within ±2 standard deviations from the mean.

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Answer:

8

Step-by-step explanation:

The percentage increase of the stereo cable is 14.2%

The cost of the stereo cable yesterday is $14

The cost rose to $16

The first step is to calculate the increase

16-14

= 2

The percentage increase can be calculated as follows

increase/original price × 100

= 2/14 × 100

= 0.142 × 100

= 14.2

Hence the percentage increase is 14.2%

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Answer:

Blue-y=1/2-1

Red-x=-3

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Substitution with X= 9 and you receive that only 9 works in both equation

Answer:

2,000

Step-by-step explanation:

Your choices are 1,000 or 2,000 because 1672 is between those two numbers.  Which is 1672 closer to ?  2,000

Answer:

V = 21145.01 mm³

Step-by-step explanation:

Given that:

The radius of the gumball = 30  mm

The radius of the spherical hollow-core = 28 mm

Consider the radius of the gumball to be \(r_2\) and the radius of the spherical hollow-core to be \(r_1\). Then;

The volume of the gumball can be determined by using the formula of a sphere.

\(V = \dfrac{4}{3}\pi (r_2^3 - r_1^3)\)

\(V = \dfrac{4}{3} \times \pi \times (30^3 - 28^3)\)

V = 21145.01 mm³

We cannot determine the quantity demanded if a price ceiling is set at $200, therefore, the answer is none of the options given in the question.

A price ceiling is a legal maximum amount for a good or service. A ceiling price means that a price is not allowed to be charged that is higher than the ceiling. Price ceilings are usually set by governments.

Therefore, if the price ceiling is set at $200, it means that the price of a product cannot be higher than $200.

The quantity demanded would depend on the price and the consumer's willingness to pay.

So, it cannot be determined by just knowing the price ceiling. Hence, we cannot determine the quantity demanded if a price ceiling is set at $200. We need additional information like demand curves, prices, and other factors that affect the demand for the product.

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Answer:

Below.

Step-by-step explanation:

Number 1 is arithmetic . The common difference (d) = 3.6.

Number  3    ..    ..    ..       .... .. ....................................  d = -4.

Number   4 ........................................................................ d = 6.

Answer: A C D (in green in file)

Step-by-step explanation:

Here is a excel file that do the job.

Data are in lines 1 and 2.

there are only 2 formula.(in B1 and B2)

Others cells are just copied (incrementiel)

For a piece of art is in the shape of a rectangular pyramid with area 82 ft², the amount of glass needed to cover the entire pyramid is option A: 82 ft².

What is area?

An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure.

A rectangular pyramid piece of art has 3 parts.

Two small triangles.

Two large triangles.

One rectangle.

First calculate the area of rectangle.

The formula for area of rectangle is -

Area = length × width

Substitute the values into the equation -

Area = 5 × 4

Area = 20 ft²

Now, calculate the area of small triangles.

The formula for area of triangle is -

Area = 1/2 × base × height

Substitute the values into the equation -

Area = 1/2 × 5 × 7

Area = 35/2 ft²

Now, calculate the area of large triangles.

The formula for area of triangle is -

Area = 1/2 × base × height

Substitute the values into the equation -

Area = 1/2 × 4 × 6.8

Area = 13.6 ft²

The total area of the rectangular pyramid will be -

Total Area = Area of rectangle + 2(Area of small triangles) + 2(Area of large triangles)

Substitute the values into the equation -

Total Area = 20 + 2(35/2) + 2(13.6)

Total Area = 20 + 35 + 27.2

Total Area = 82.2 ft² ≈ 82 ft²

Therefore, the amount of glass needed to cover the area is 82 ft².

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Answer:

3

Step-by-step explanation:

The average rate of change of h(x) in the closed interval [ a, b ] is

\(\frac{h(b)-h(a)}{b-a}\)

Here [ a, b ] = [ 1, 2 ] , then

h(b) = h(2) = 0 ← from table for x = 2

h(a) = h(1) = - 3 ← from table for x = 1 , then

average rate of change = \(\frac{0-(-3)}{2-1}\) = \(\frac{0+3}{1}\) = 3

Using rounding concepts, the error interval is given by:

\(14.475 \leq t < 14.485\)

---------------------------------

When a number is rounded to the nearest hundredth:

In this problem:

\(14.475 \leq t < 14.485\)

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first off let's notice that the height is 11 meters and the volume of the cone is 103.62 cubic centimeters, so let's first convert the height to the corresponding unit for the volume, well 1 meters is 100 cm, so 11 m is 1100 cm.

\(\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=\stackrel{cm^3}{103.62}\\ h=\stackrel{cm}{1100} \end{cases}\implies 103.62=\cfrac{\pi r^2 (1100)}{3} \\\\\\ 3(103.62)=1100\pi r^2\implies \cfrac{3(103.62)}{1100\pi }=r^2 \\\\\\ \sqrt{\cfrac{3(103.62)}{1100\pi }}=r\implies \stackrel{cm}{0.00510199305952} \approx r\)

The solutions to the quadratic equation x² + 7x - 8 = 0 are x=1 and x=-8.

To find the solutions to the quadratic equation x² + 7x - 8 = 0, we can factor the equation or use the quadratic formula.

x² + 7x - 8 = 0

x² + 8x-x - 8 = 0

Factoring the equation, we have:

x(x+8)-1(x+8)=0

(x - 1)(x + 8) = 0

Setting each factor equal to zero, we find the solutions:

x - 1 = 0, which gives x = 1

x + 8 = 0, which gives x = -8

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Answer:

Shape is rectangle

Area of rectangle = length * width

= 5 * 3

= 15 units²

Ergonomic principles are you using to ensure your comfort and safety while using the computer

Ergonomics is the science of designing and arranging the workplace or equipment to fit the capabilities and limitations of the user. It aims to optimize the interaction between people and their environment to enhance comfort, efficiency, and safety.

Setting up the computer with the elbows at approximately 90 degrees and maintaining a viewing distance of 18 to 28 inches aligns with ergonomic guidelines for proper posture and viewing ergonomics. This setup promotes a neutral and relaxed position for the arms, wrists, and shoulders, reducing the risk of strain and discomfort.

The recommended viewing distance of 18 to 28 inches also ensures that the screen is positioned at an appropriate distance to minimize eye strain and promote clear and comfortable viewing.

By following these ergonomic principles, individuals can help prevent musculoskeletal issues, eye strain, and other discomfort associated with prolonged computer use, thus promoting both comfort and safety.

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The net of a triangular pyramid consist of a total of 4 triangles. it has 4 faces with the base being one of them which is also in the shape of a triangle.

A net of the triangular pyramid is the pattern formed when the surface of it is laid out flat showing each triangular face of the figure, therefore we know that the net of a triangular pyramid consist of a total of 4 triangles.

Triangular pyramid  is a pyramid which has a triangular base. In geometry, vertices are essentially corners. All triangular-based pyramids, either regular or irregular, have four vertices.

It has 6 edges, 4 faces, 4 vertices.

A regular triangular pyramid has equilateral triangles all four faces

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Answer:

2

Step-by-step explanation:

Answer:

500N

Step-by-step explanation:

Given data

Mass m= 50kg

Acceleration a= 10m/s^2

We know that the expression for the force is

F=ma

Substitute

F= 50*10

F= 500N

Hence the applied force is 500N

Answer:

I can help but I need better pic