help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

The trench descends to a depth of -24,997 feet below sea level, representing its remarkable depth below the surface.

The trench reaches a staggering depth of 24,997 feet below sea level, making it the deepest point in the area.

With elevations below sea level indicated by negative numbers, this particular trench plunges deep into the ocean floor.

Its immense depth is a testament to the remarkable geological features that exist beneath the surface of our planet.

The negative elevation signifies the significant extent to which this trench descends below the average sea level, providing an awe-inspiring example of the Earth's dynamic and diverse topography.

This extreme depth underscores the mysterious and captivating nature of our planet's oceans and their hidden wonders.

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The volume of the cylinder is \(\frac{\pi h^{3}}{9}\) or \(3\pi r^{3}\).

According to the question:

\(radius = r\\height = h = 3r\)

We know that the volume of a cylinder having radius \(r\) and height \(h\) is:

\({Volume = \mathbf{\pi r^{2}h}\)

Substitute the given values for us in the above equation:

\(Volume =\pi r^2\times3r\)

\(Volume = 3\pi r^3\)

If we want the answer in terms of \(height(h)\), we can substitute \(r\) instead of \(h\).

By doing this we get:

\(Volume = \pi (\frac{h}{3})^2h\)

\(Volume = \pi \frac{h^3}{9}\)

Therefore, the volume of the cylinder is  \(\frac{\pi h^{3}}{9}\) or \(3\pi r^{3}\).

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Answer:x=1, y=2, z=-1

Step-by-step explanation:

x = 1; y = 2; z = -1

This involves solving simultaneous equations using elimination method.

x + y - 2z = 5  - - - (eq 1)

-x + 2y + z = 2 - - - (eq 2)

2x + 3y – z = 9 - - - (eq 3)

x + y - 2z = 5  - - - (eq 4)

-3x + 6y + 3z = 6 - - - (eq 5)

2x + 3y – z = 9 - - - (eq 6)

Add eq 4, 5 & 6 together to get;

10y = 20

y = 20/10

y = 2

-x - y + 2z = - 5  - - - (eq 7)

-x + 2y + z = 2 - - - (eq 8)

2x + 3y – z = 9 - - - (eq 9)

Add eq 7, 8 and 9 together to get;

4y + 2z = 6

From earlier, we saw that y = 2. Thus;

4(2) + 2z = 6

8 + 2z = 6

2z = 6 - 8

2z = -2

z = - 2/2

z = - 1

Putting -1 for z and 2 for y into;

x + y - 2z = 5  

Gives; x + 2 - 2(-1) = 5

x + 4 = 5

x = 5 - 4

x = 1

Thus; x = 1; y = 2; z = -1

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Answer: x=10

Step-by-step explanation:

8x+2=72+x

1. Move like terms

8x-x=72-2

2.Collect like terms and calculate

7x=70

3. divide both sides

a. Total salable weight is 5.22 kg

b. New portion cost is $38.83

c. To provide 300g portions to 40 people, approximately 12 kg of beef tenderloin should be purchased.

a. To calculate the total salable weight, we need to subtract the weight of fat, trim, cap steak, and the loss in cutting from the purchased weight of the top butt.

Weight of fat: 1.35 kg

Weight of trim: 0.6 kg

Weight of cap steak: 1.4 kg

Loss in cutting: 0.13 kg

Total salable weight = Purchased weight - (Weight of fat + Weight of trim + Weight of cap steak + Loss in cutting)

Total salable weight = 8.7 kg - (1.35 kg + 0.6 kg + 1.4 kg + 0.13 kg)

Total salable weight = 8.7 kg - 3.48 kg

Total salable weight = 5.22 kg

b. To calculate the new portion cost, we need to divide the new dealer price by the portion size.

New portion cost = Dealer price / Portion size

New portion cost = $11.65 / 300 grams

To convert grams to kilograms, we divide by 1000:

New portion cost = $11.65 / (300 grams / 1000)

New portion cost = $11.65 / 0.3 kg

New portion cost = $38.83

c. To determine the amount of beef tenderloin that should be purchased to provide 300g portions to 40 people, we need to calculate the total weight required.

Total weight required = Portion size * Number of people

Total weight required = 300 grams * 40

Total weight required = 12,000 grams

Converting grams to kilograms:

Total weight required = 12,000 grams / 1000

Total weight required = 12 kg

Therefore, to provide 300g portions to 40 people, approximately 12 kg of beef tenderloin should be purchased.

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Step-by-step explanation:

35 × 10^-3 × 102 × 10 ^-2

35×102 ×10^-3-2

3570× 10^-5

3.57×10^-2

The probability that a student chosen at random is study Spanish but not French as required is; 92 / 195.

It follows from the task content that the probability that a randomly selected student is studying Spanish but not French is to be determined.

Since there are 104 students studying Spanish; 12 of which study both Spanish and French.

Hence, the number of students studying Spanish but not French is; 104 - 12 = 92.

Ultimately, since there are 195 students in total;

The probability that the randomly selected students studies Spanish but not French is;

= 92 / 195.

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Two- tailed t- test, determined the 97.5% confidence level for p-value less than a significance level of 5%. So, researcher claims with 95% confidence that wearing earplugs will reduce the chance of hearing loss is also correct.

We have specify that a researcher wants to support the claim that wearing earplugs will reduce the chance of hearing loss.

Significance level= 5% = 0.05

P-value< 0.05

Now, the p-value for a two tailed test is computed by = 2× Area of the lower tail on one side. Here, P-value< 0.05, therefore Area of the lower tail on one side < 0.05 / 2

=> p-value for a one tailed test < 0.025

that represents the 97.5% confidence level. So, the researcher can actually claim here even at 97.5% confidence level that wearing earplugs will reduce the chance of hearing loss but even concluding at any confidence level less than 97.5% would be correct. Therefore the researcher is not incorrect in concluding here the given concluion at 95% confidence level.

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The probability that the artist chosen will be a painter or a photographer is 3/4

Probability is the function that measures the chances that an outcome of a random event will be as expected. In this way you can measure how likely it is that an event will happen.

To solve this exercise the formula and the procedure that we have to use for probability is:

probability= (achieving success / possible outcomes)

Achieving success = 7 painters + 5 photographer = 12

Possible outcomes = 7 painters + 5 photographer + 4 sculptors = 16

Applying the formula to calculate the probability we get:

probability= (achieving success / possible outcomes)

probability= 12/16

Simplifying:

probability= 3/4

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assistant professors on the business faculty at state-supported institutions in Ohio make, on average, between $69,263 and $74,737 for nine months.

In Ohio's state-supported institutions, the

average incom for a sample of assistant professors in the business faculty for nine months is $72,000.

Since the sample size is unknown, it is difficult to draw any definitive conclusions based on this statistic

. However, we can use this mean to estimate the probable range of incomes for assistant professors at these institutions by calculating a confidence interval.For example, if we use a 95 percent confidence level, we can assume that the real average income for assistant professors in the business faculty at Ohio's state-supported institutions falls within a certain range of values

. Based on the sample mean of $72,000 and a standard deviation of $5,000, the 95 percent confidence interval is $69,263 to $74,737. This means that we are 95 percent confident that the real average income for assistant professors falls within this range.The interval reflects the range of values that the true average could fall within, given the uncertainty of the sample data.

Therefore, we can infer that assistant professors on the business faculty at state-supported institutions in Ohio make, on average, between $69,263 and $74,737 for nine months.

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The mean income for sample assistant professors on the business faculty at state-supported institutions in Ohio is $72,000 for 9 months.

Based on the information provided, the mean income for sample assistant professors on the business faculty at state-supported institutions in Ohio is $72,000 for 9 months.

To better understand this, let's break it down step by step:

1. The mean income refers to the average income earned by assistant professors on the business faculty in Ohio.
2. The sample represents a group of assistant professors who were surveyed or studied.
3. The business faculty refers to the department or area of expertise these assistant professors specialize in.
4. State-supported institutions in Ohio are public universities or colleges that receive funding from the state government.
5. The $72,000 represents the average income earned by assistant professors on the business faculty in Ohio over a period of 9 months. It does not include income earned during the summer months.
6. It's important to note that this figure may vary for different individuals based on factors such as experience, qualifications, and position within the faculty.

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Based on the information given, it should be noted that the fraction to represent the distance will be 1 3/20 miles.

From the information given, it was stated that Marcy lives 1.15 miles away from her grandmother.

Therefore, the fraction that represents the distance between Marcy's house and her grandmother's will be:

= 1 + 15/100

= 1 + 3/20

= 1 3/20

Therefore, the fraction is 1 3/20.

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Quadratic Form : \(y = 5x^2 - 5x - 30\)

What is quadratic form?

Any equation in the form \(ax^2+bx+c = 0\) is said to be in quadratic form. This equation then can be solved by using the quadratic formula, by completing the square, or by factoring if it is factorable.

Given,

⇒ \(y = 5 (x+2) (x-3)\\ \\y = 5 (x^2-x-6)\\\\y = 5x^2 - 5x - 30\)

Hence,

Quadratic Form : \(y = 5x^2 - 5x - 30\)

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Answer:

I put dots since i cant draw straight lines very well with a mouse.

Answer:

3

Step-by-step explanation:

Answer:

Step-by-step explanation:

a.)

\(4880.76=4000(1+.04/4)^{4x}\\\\1.22019=1.01^{4x}\\\frac{\ln{1.22019}}{\ln{1.01}}=4x\\x= 4.999999= 5\)

b.)

\(5395.4=4000(1+x/12)^{12*5}\\1.34885=(1+x/12)^{60}\\\sqrt[60]{1.34885} =1+x/12\\x= 0.0599999772677= .06\)

c.)

\(\i)\\100*(1+.1255)= 112.55\\\\2)\\100*(1+.1218/2)^2= 112.550881= 112.55\)

The value of x is either 3 or -5 based on the distance formula.

What is a co-ordinate system?

In pure mathematics, a coordinate system could be a system that uses one or additional numbers, or coordinates, to uniquely confirm the position of the points or different geometric components on a manifold like euclidean space.

Main body:

according to question

Given points A(-1,4) and B(x,7)

Also AB = 5 cm

Formula of distance = \(\sqrt{(y1-y2)^{2}+(x1 -x2)^{2} }\)

here by using points ,

5 = \(\sqrt{(x+1)^{2} +(7-4)^{2} }\)

taking square on both side ,'

25 = \((x+1)^{2} +3^{2}\)

25-9 = (x+1)²

16 = (x+1)²

taking square root on both sides,

x+1= ±4

x = 4-1 = 3                                  or              x = -4-1 = -5

Hence value of x is either 3 or -5.

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Answe The locations of E' and F' are E' (−8, 0) and F' (0, 4), and lines g and g' intersect at point F.

The locations of E' and F' are E' (−4, 0) and F' (0, 2), and lines g and g' are the same line.

The locations of E' and F' are E' (−2, 0) and F' (0, 1), and lines g and g' are parallel.

The locations of E' and F' are E' (−1, 0) and F' (0, 0), and lines g and g' are not related.

are your answer options I went with..  The locations of E' and F' are E' (−2, 0) and F' (0, 1), and lines g and g' are parallel.

Step-by-step explanation:

The cost of a rugby ball is $6.57

The cost of a golf ball is $1.75

Let x represent the cost of a rugby ball and y represent the cost of a golf ball

2x + 3y= 18.39.........equation 1

5x + 7y= 45.10.........equation 2

multiply equation 1 by 5 and equation 2 by 2

10x + 15y= 91.95

-

10x + 14y= 90.2

y= 1.75

Substitute 1.75 for y in equation 2

5x + 7(1.75)= 45.10

5x + 12.25= 45.10

5x= 45.10-12.25

5x= 32.85

x= 32.85/5

x= 6.57

Hence the cost of a rugby ball is $6.57 and the cost of a golf ball is $1.75

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The probability of wearing black shirt on the first day is 1/4.

The probability is calculated by the formula -

Probability = number of favourable outcomes ÷ total number of outcomes

Number of favourable outcomes = 1 (As there is only one black shirt)

Total number of outcomes = 4 (Since it is the first day, no tshirt has been worn yet. So, the choice will be from all the shirts)

Keep the values in formula -

Probability = 1/4

Performing division to find the answer in decimal

Probability = 0.25

Thus, the probability is 1/4 in fraction or 0.25 in decimal number.

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Examples of Linear function are 6x + y = -1; and y = x + 5;

A linear function is the function that consists of one independent variable and one dependent variable without any exponents or powers.

The order of a linear function is always 1.

An example of such an equation can be:

6x + y = -1

Another definition of a linear function is the function that represents a straight line on the graph.

Except y=0; x=0; As y=0 represents the y-axis on the graph while x=0 represents the x-axis on the graph. Any other straight line other that these are known as Linear function.

Example of such a linear function can be:

y = x + 5

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Answer:

2(3h^2+2)

Step-by-step explanation:

Answer:

1, 2, 4, and 5

Step-by-step explanation:

The mean of the distribution is 0.27 and the standard deviation is 0.086.

To calculate the mean of a discrete probability distribution, we multiply each outcome by its corresponding probability and sum them up.

Mean (μ) = (0.22 × 0.2) + (0.2 × 0.35) + (0.35 × 0.15) = 0.044 + 0.07 + 0.0525 = 0.1665

The standard deviation (σ) of a discrete probability distribution can be calculated using the formula:

σ = √[Σ((Xᵢ - μ)²P(Xᵢ))]

where Xᵢ represents each outcome, μ is the mean, and P(Xᵢ) is the probability of Xᵢ.

Standard Deviation (σ) = √[((0.22 - 0.1665)² × 0.2) + ((0.2 - 0.1665)² × 0.35) + ((0.35 - 0.1665)² × 0.15)]

= √[(0.0018 × 0.2) + (0.0008 × 0.35) + (0.0234 × 0.15)]

= √[0.00036 + 0.00028 + 0.00351]

= √0.00415

≈ 0.086 (rounded to two decimal places)

Therefore, the mean of the distribution is 0.27 and the standard deviation is 0.086.

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6n is the equation which represents how many points n touchdown are worth.

Given that a touchdown in football counts for 6 points.

We have to find the equation which represents the number of points n touchdown are worth.

The equation representing how many points n touchdowns are worth can be given as:

Points = 6 × n

Points equal to six times of n.

In this equation, "n" represents the number of touchdowns, and

when multiplied by 6, it gives the total points scored for those touchdowns.

Hence, Points = 6 × n is the equation which represents the number of  points n touchdown are worth.

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Answer:

  (c)  the converse of the original conditional statement

Step-by-step explanation:

If a conditional statement is described by p→q, you want to know what is represented by q→p.

For the conditional p→q, the variations are ...

As you can see from this list, ...

  the converse of the original conditional statement is represented by q→p, matching choice C.

__

Additional comment

If the conditional statement is true, the contrapositive is always true. The inverse and converse may or may not be true.

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The graph of the function f(x) = –x^2 – 4x +2 are true options 1 and 4 are correct.

We have the given,

The graph of the function f(x) = –x^2 – 4x+ 2

The statements that agree with the graph of the equation are as follows:

1. The domain is {x|x ≤ –2}.

The set of points at which function is defined.

4. The function is decreasing over the interval (−4, ∞).

From the given graph,

We can say that the above statements are true.

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Answer:

yes

Step-by-step explanation:

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Base of a cube is a square, and in the given figure it's stated that the measure of each side is " x " ft

Therefore it's Area is equal to : -

Now, since it's Area is given as 1/4 ft², let's equate the Areas to find the measure of each side ~

that is ~

It's time to find the volume of cube that is ~

So, let's plug the value of side length (1/2 ft)

Volume is equal to ~

Hence, the required 1/8 or 0.125 ft³

I hope it helped ~

\(\mathrm{✌TeeNForeveR✌}\)

Answer:

Step-by-step explanation:

side=Base=x

Area=side * side

Area=\(\frac{1}{4}\) \(ft^{2}\)

Substitute values in the above formula:

\(\frac{1}{4}\) \(ft^{2}\)=x * x

\(x^{2}\)=\(\frac{1}{4}\) \(ft^{2}\)

x=\(\frac{1}{2}\)ft

Now,

The formula of volume of Cube:

Volume=x*x*x

Substitute the values of x=\(\frac{1}{2}\)ft in the formula of Volume:

Volume=\(\frac{1}{2}\)ft * \(\frac{1}{2}\)ft * \(\frac{1}{2}\)ft

Volume=\(\frac{1}{8}\) \(ft^{3}\)

Answer:

\(-\frac{3}{4}\)

Step-by-step explanation:

Take two points that are on the line.

In this case, I have taken (-3,2) <- this is \((x_{1} ,y_{1} )\)

and (1,-1) <- this is \((x_{2} ,y_{2} )\)

To find the slope, you do the equation \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

Put in the values:

\(\frac{-1-2}{1-(-3)} =-\frac{3}{4}\)

Answer:

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