HELP ME PLEASE!!!!!!!

the Cartesian coordinates of the point represented by the polar coordinates (6, -π/3) are (3, -3√3).

What is a fraction?

A fraction represents a part of a number or any number of equal parts. There is a fraction, containing numerator and denominator.

To convert these polar coordinates to Cartesian coordinates (x, y), we use the following formulas:

x = r cos(θ)

y = r sin(θ)

Substituting the given values, we get:

x = 6 cos(-π/3) = 6 × (1/2) = 3

y = 6 sin(-π/3) = 6 × (-√3/2) = -3√3

Therefore, the Cartesian coordinates of the point represented by the polar coordinates (6, -π/3) are (3, -3√3).

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In the given problem, the surface area of the triangular prism is 65 square centimeters. The answer is not listed among the options provided

We need to find the surface area of the triangular prism, which is the sum of the areas of all its faces.

The triangular faces of the prism are congruent triangles, so we can find their area by multiplying the base and height and dividing by 2. The dimensions of the triangular faces are 5 cm (base) and 4 cm (height).

Area of each triangular face = (5 cm x 4 cm)/2 = 10 cm²

The rectangular faces are congruent rectangles, so we can find their area by multiplying the length and width. The dimensions of the rectangular faces are 5 cm x 3 cm and 3 cm x 4 cm.

Area of each rectangular face = (5 cm x 3 cm) = 15 cm²

Total surface area of the prism = 2 x Area of triangular face + 3 x Area of rectangular face

= 2 x 10 cm² + 3 x 15 cm²

= 20 cm² + 45 cm²

= 65 cm²

Therefore, the surface area of the triangular prism is 65 square centimeters. The answer is not listed among the options provided, so there might be a mistake in the question or answer choices.

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I would perform the ANOVA test (choice 1 of 4).

I would perform the ANOVA test (choice 1 of 4). The ANOVA test is used to test the null hypothesis that the means of all groups are equal, and if the test results in a significant p-value, it suggests that at least one of the group means is significantly different from the others.

Tukey's HSD test (choice 2 of 4) is a post-hoc test that can be used after an ANOVA test to determine which specific groups differ significantly from each other.

The Wilcoxon rank-sum test (choice 3 of 4) is a non-parametric test used to compare the medians of two independent groups.

The Wilcoxon signed-rank test (choice 4 of 4) is a non-parametric test used to compare the medians of two related groups (i.e., paired or matched samples).

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The angle of descent is approximately 18.58 degrees.

A is the airplane, B is the point where it is currently located, C is the point on the runway directly below the airplane, and D is the projection of the airplane onto the ground (i.e. the point directly below the airplane).

We want to find the angle BCD, which is the angle of descent. We can use the tangent function to do this:

tan(BCD) =  [tex]\frac{BC}{CD}[/tex]

We know that h = 15.2 miles and x = 60 miles.

To find CD, we need to use similar triangles.

Triangles ABD and BCD are similar, so we can write:

AB/BD =  [tex]\frac{DC}{x}[/tex]

Since AB = h and BC = x, we can solve for CD:

h/BD =  [tex]\frac{BC}{x}[/tex]

CD = BD *  

BD is the distance between the airplane and its projection onto the ground.

Since triangles ABD and BCD are similar, we have:

BD/AB =  [tex]\frac{x}{BC}[/tex]

BD/h =  [tex]\frac{BC}{DC}[/tex]

BD = h * [tex]\frac{BC}{DC}[/tex]

Substituting CD and BD into the original equation, we get:

tan(BCD) = (h - h * CD / x)  x

tan(BCD) = h * (1 - CD / x)  x

tan(BCD) = h * (x - CD)  (x * CD)

tan(BCD) = h * (x - h *  ) / (x * h )

tan(BCD) = CD / (x - h)

tan(BCD) = (h * x / CD) / (x - h)

tan(BCD) = (15.2 * 60 / CD) / (60 - 15.2)

tan(BCD) = 0.3277

Taking the inverse tangent of both sides, we get:

BCD = 18.58 degrees

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The correct answer is c. Line graphs show the change in one or more variables progressively across time.

Histograms show the distribution of data, pie charts show the proportions of a whole, bar charts compare categories or groups, and diagrams show the relationships between different elements.

The correct answer is c. Line graphs show the change in one or more variables progressively across time

A histogram is a visual depiction of data distribution in statistics. The histogram is shown as a collection of neighbouring rectangles, where each bar represents a certain type of data. Numerous fields use statistics, which is a branch of mathematics. Frequency, which can be expressed as a table and is known as a frequency distribution, is the repeating of numbers in statistical data.

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Line graphs show the change in one or more variables progressively across time. C

A line graph is a type of chart that displays data as a series of data points connected by straight lines.

The horizontal axis of the graph typically represents time, while the vertical axis represents the value of the variable being measured.

By connecting the data points with lines, a line graph can show the trend or pattern of change in the variable over time.

Line graphs are commonly used in fields such as economics, finance, and science to visualize trends in data over time.

They can be used to identify patterns, compare different variables, or forecast future trends.

In contrast, histograms, pie charts, bar charts, and diagrams are different types of charts that are used to display data in different ways.

Histograms are used to show the distribution of data within a single variable, while pie charts and bar charts are used to compare different categories or groups of data.

Diagrams are used to represent complex systems or relationships, often using visual symbols or icons to represent different components.

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Answer: second one!

Step-by-step explanation:

Answer:

The equation which is equivalent to 60% of 25 is x = 0.6 * 25

An equation is used to show the relationship between variables, numbers.

Let x represent the value of 60% of 25. Hence:

x = 60% of 25

x = 0.6 * 25

Hence the equation which is equivalent to 60% of 25 is x = 0.6 * 25

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Answer:

A. 0.6 • 25 = 15

C. 6/10 = x/25 => 6/10 * 25 = 15 = x

E. X/25 = 60/100 => X = (60/100) * 25 = 15

So the equations that are equivalent to 60% of 25 are A, C, and E.

Step-by-step explanation:

The circumference of a circle with a radius of 9 is 18π (or approximately 56.55) units.

The circumference of a circle can be calculated using the formula:

C = 2πr

where r is the radius of the circle and π (pi) is a mathematical constant approximately equal to 3.14.

Substituting r = 9 into the formula, we get:

C = 2π(9) = 18π

Therefore, the circumference of a circle with a radius of 9 is 18π (or approximately 56.55) units.

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Answer:About 1,012 Inches

Step-by-step explanation:

High Traffic, Large Database, Internet Connectivity are the reason for taking centuries for searches.

High Traffic: If there are many users accessing the site simultaneously, the servers might get overloaded, leading to slow searches.

Large Database: Brainly has a vast database of questions and answers, which could slow down searches if the search algorithm isn't optimized.

Internet Connectivity: Slow internet connection on your side could result in slow searches

If you're experiencing slow searches, you can try the following: Check your internet connection and make sure it's stable and fast. Try clearing your browser cache and cookies and restart your browser.

If you're using an outdated browser, try updating it to the latest version. Consider reaching out to Brainly's customer support team to report the issue and seek assistance.

Therefore, High Traffic, Large Database, Internet Connectivity are the reason for taking centuries for searches.

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Therefore , the solution of the given problem of unitary method comes out to be 45 copies of the magazine are still available at the bookstore.

Use the tried-and-true core approach, the real variables, nor any useful information you learn from the general and detailed questions to finish the project expression. Customers may be given another chance to taste the products in response. If these improvements don't happen, we'll miss out on significant advancements in programming comprehension.

Here,

Let's figure out how many issues of the magazine are still available in the store.

Given: There were 90 copies in all when the bookstore opened.

1/6 of the total copies were sold at the bookstore yesterday.

=> 15 copies were sold yesterday = (1/6) * 90.

=> Total copies - Copies sold yesterday = 90 - 15 = 75 Remaining copies after yesterday's sale

=> 2/5 of the remaining copies were sold in the bookstore today.

30 copies were sold today, which

=>  (2/5) * 75.

The quantity of copies left after today's sale equals the quantity left after yesterday's sale. - Today's sales of copies:

=>  75 - 30 = 45

45 copies of the magazine are still available at the bookstore.

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The number of miles that the cab ride that costs $9 is 3 miles.

Let's assume that the length of the cab ride is "x" miles. Then, the cost of the cab ride can be expressed as:

Cost = 3 + 2x

We are given that the cost of the cab ride is $9, so we can set up an equation:

3 + 2x = 9

Subtracting 3 from both sides, we get:

2x = 6

Dividing both sides by 2, we get:

x = 3

Therefore, the length of the cab ride that costs $9 is 3 miles.

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If the value of the 2022 Jeep Wrangler Rubicon depreciates at a rate of 9.7% per year, then its value after t years can be modeled by:

V(t) = 67,035(1 - 0.097)^t

Simplifying the right side:

V(t) = 67,035(0.903)^t

Therefore, the function that models the car's value, V, t years since 2022 is V(t) = 67,035(0.903)^t.

Patricia Hill Collins' concept of a Matrix of domination is a theoretical framework.

The matrix of domination is based on the idea that society is characterized by multiple, intersecting systems of power and oppression, including those based on race, gender, class, sexuality, and other social categories.

These systems of power and oppression are interconnected and mutually reinforcing, creating a complex web of domination that shapes social life.

According to Collins, the matrix of domination is a useful tool for understanding how power operates in society and how different groups experience and resist oppression.

It allows us to see how different forms of inequality intersect and interact, producing unique experiences of oppression and privilege for individuals who occupy different social positions.

The matrix of domination is not a simple hierarchy of oppression, where one form of oppression is more important than others.

Rather, it is a complex, intersecting system that creates unique experiences of power and oppression for individuals and groups based on their social identities and positions in society.

Overall, the concept of a matrix of domination highlights the complexity of social inequality and the importance of intersectionality in understanding how power operates in society.

It helps us to see how different forms of oppression are interconnected and reinforces each other and underscores the need for holistic and intersectional approaches to social justice and liberation.

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To reduce the width of a confidence interval, you can use a smaller sample size and decrease the level of confidence, or use a larger sample size and decrease the level of confidence.

What are the factors?

what are factorsIn mathematics, a factor is a number that divides another number without leaving a remainder.

The combination of factors that would definitely cause the confidence interval to become wider is to use a larger sample and increase the level of confidence or to use a smaller sample and increase the level of confidence.

When using a larger sample size, the standard error of the mean decreases, and the interval will become narrower. Conversely, when using a smaller sample size, the standard error of the mean increases, and the interval will become wider. However, increasing the level of confidence will also increase the width of the interval as a wider interval is required to capture the true population parameter with a higher level of confidence.

Therefore, to reduce the width of a confidence interval, you can use a smaller sample size and decrease the level of confidence, or use a larger sample size and decrease the level of confidence.

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Step-by-step explanation:

Set up a similar triangle ratio of the corresponding sides

5cm is to 10 cm

   as     A  is  to   8cm

5/10 = A /8       Multiply both sides of the equation by 8:

8 *  5/10 = A

A = 4 cm

Rounding the result off to the nearest 10th, the lateral surface area of the cylinder is 822 inches².

Surface area is the total area of the exposed surfaces of a three-dimensional object. It is measured in square units such as square centimeters (cm2) or square meters (m2). Surface area is an important concept in mathematics, science, and engineering, as it is the total area that determines properties such as friction, heat transfer, and fluid dynamics. For example, a larger surface area can increase the rate of heat transfer and allow for more efficient cooling. Similarly, a larger surface area can increase the friction between two objects, allowing them to grip better. Surface area is also important in chemistry, as it affects the amount of gas or liquid that can be absorbed or released by a given object.

The cylinder has a radius of 11 inches and a height of 12.5 inches. To find the lateral surface area of a cylinder, the formula used is A = 2πrℎ, where r is the radius and h is the height of the cylinder. After plugging in the values, the lateral surface area of the cylinder is 821.75 inches². Rounding the result off to the nearest 10th, the lateral surface area of the cylinder is 822 inches².

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Betty's "average" speed for the triathlon was approximately 20 miles per hour.

Let's start by converting the different distances and times to a common unit. Since we want to calculate the speed in miles per hour (mph), we'll convert the swimming distance from miles to hours by dividing it by Betty's swimming speed of 1 mile per 25 minutes (or 0.04 miles per minute):

Swimming time = 25 minutes = 0.42 hours (since there are 60 minutes in an hour)

Swimming distance = 1 mile ÷ 0.04 miles per minute = 25 minutes = 25 miles per hour

We can do the same thing for the biking and running portions of the race:

Biking time = 45 minutes = 0.75 hours

Biking distance = 30 miles ÷ 0.75 hours = 40 miles per hour

Running time = 40 minutes = 0.67 hours

Running distance = 6 miles ÷ 0.67 hours = 8.96 miles per hour

Now we can find the total distance and total time for the race:

Total distance = 1 mile + 30 miles + 6 miles = 37 miles

Total time = 0.42 hours + 0.75 hours + 0.67 hours = 1.84 hours

Finally, we can calculate Betty's average speed for the race by dividing the total distance by the total time:

Average speed = Total distance ÷ Total time = 37 miles ÷ 1.84 hours = 20.11 miles per hour

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After solving equation , the plumber put in 3.1 hours of work (or 3 hours, 6 minutes).

A mathematical assertion that demonstrates the equality of two expressions is called an equation The equals symbol (=) is used to denote the separation of two phrases. Numerous mathematical ideas and relationships, including linear functions, quadratic functions, and trigonometric functions, can be represented by equations.

Let's use the letter 'h' to indicate how many hours the plumber put in.

The plumber costs $35 to come to Jerald's residence and $50 for every hour they work. If Jerald is charged a total of $190 by the plumber, the following equation can be written:

$50h + $35 = $190

To solve for 'h,' we obtain:

$50h = $190 - $35

$50h = $155

h = 155 / 50

h = 3.1

Consequently, the plumber put in 3.1 hours of work (or 3 hours, 6 minutes).

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Answer: 1/3

Step-by-step explanation:

1/3x1/3x1/3=1/27

We know that in a 30°-60°-90° triangle, the side opposite the 30° angle is half the length of the hypotenuse, and the side opposite the 60° angle is $\frac{\sqrt{3}}{2}$ times the length of the hypotenuse.

Therefore, the length of the side opposite the 30° angle is $\frac{1}{2}(38) = 19$, and the length of the side opposite the 60° angle is $\frac{\sqrt{3}}{2}(38) = 19\sqrt{3}$.

To find the perimeter, we add up the lengths of all three sides:

Perimeter = 19 + 19$\sqrt{3}$ + 38 = 57 + 19$\sqrt{3}$

Therefore, the answer is option 2, 57 + 19$\sqrt{3}$.

Answer:

Step-by-step explanation:

In a 30°-60°-90° triangle, the sides are in the ratio of 1:√3:2.

Let x be the length of the shorter leg (opposite the 30° angle). Then, the longer leg (opposite the 60° angle) is x√3, and the hypotenuse (opposite the 90° angle) is 2x.

We are given that the hypotenuse is 38, so:

2x = 38

x = 19

Therefore, the shorter leg is 19, and the longer leg is 19√3.

The perimeter of the triangle is the sum of the lengths of all three sides:

19 + 19√3 + 38 = 57 + 19√3

So the answer is (2) 57+19sqrt(3).

Answer:

Step-by-step explanation:

a- 3+n

Answer:

First option and Second option

Step-by-step explanation:

Hope it helps. Happy Easter Tuesday. Have a great day.

The distance between Ship A and Ship B is approximately 89.4 kilometers.

Now we can see that we have created a triangle with vertices L, A, and B. We want to find the length of side AB, which represents the distance between the ships. To do this, we can use the Law of Cosines, which states that for any triangle with sides a, b, and c and angle C opposite side c,

c² = a² + b² - 2abcos(C)

In our case, c represents the distance between the ships, a represents the distance from the lighthouse to Ship A, and b represents the distance from the lighthouse to Ship B. We know that the angle between the two bearings is 32 degrees (since 71 + 39 = 110 and 180 - 110 = 70, and 70 - 39 = 32). So we can plug in the values we know and solve for c:

c² = 15² + 96² - 2(15)(96)cos(32)

c ≈ 89.4

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The estimated probability of an amateur golfer hitting at least 6 times in his next 10 attempts is 20%. The Option A.

To simulate the situation, we can use the table of random numbers by selecting the first two digits of each number as a random sample. Let's consider hitting the ball as a success, and missing it as a failure.

So, the amateur golfer has a probability of success of 0.48 and a probability of failure of 0.52. We want to calculate the probability of having at least 6 successes in 10 attempts, which means we need to add up the probabilities of having 6, 7, 8, 9, or 10 successes.

Using binomial probabilities, we can calculate these probabilities as follows:

P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10); X is the number of successes in 10 attempts.

Using the binomial formula, we can calculate each probability as:

P(X = k) = (10 choose k) * (0.48)^k * (0.52)^(10-k). By adding up these probabilities, we get P(X ≥ 6) = 0.196 or approximately 20%.

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The inference is that,  Incorrect because of a failure to distinguish between incidence and prevalence.

What is inference drawn from statistics?

Utilising data analysis to determine characteristics of a probability distribution at play, statistical inference is the process. Through the use of estimation and hypothesis testing, inferential statistical analysis infers characteristics of a population. It is presumed that a bigger population than the observed data set was sampled for this data collection.

What distinguishes random assignment from random sampling inferences?

As a method of choosing participants for your study's sample, random selection or random sampling can be used. The sample can be divided into control and experimental groups using random assignment, however.

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The complete question is -

At the initial examination in the Framingham study, coronary heart disease was found in 5 per 1,000 men aged 30yrs to 44yrs and in 5 per 1,000 women aged 30yrs to 44yrs. The inference that in this age group men and women have an equal risk of developing coronary heart disease is Selected Answer: A. Correct Answers: A. Correct B. Incorrect because of a failure to distinguish between incidence and prevalence C. Incorrect because a proportionate ratio is used when a rate is required to support the inference D. Incorrect because of failure to recognize a possible cohort phenomenon E. Incorrect because there is no control or comparison group.

The system of equation has no solution (option b).

Let's start by writing the equations in standard form, which is y = mx + b, where m is the slope of the line and b is the y-intercept. We have:

y = -5x - 1

y = -5x + 7

Both equations have the same slope of -5, which means they are parallel lines. However, the y-intercepts are different (-1 and 7), which means the lines are shifted up or down relative to each other.

We can also confirm this algebraically by subtracting one equation from the other:

y = -5x + 7 - (-5x - 1)

y = -5x + 5

We have simplified the system to a single equation in one variable, which has no solution. This confirms that the original system has no solution as well.

Hence the correct option is (b).

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Therefore , the solution of the given problem of fraction comes out to be  "1 pound" is the right response.

Any combination of sections of the same size can be used to represent the whole. Quantity is described as "a portion" under a particular measurement in Standard English. 8, 3/4. Fractions are included in wholes. These act as the ratio divisor, which is a pair of integers in mathematical words. Here are a couple of examples showing how to change straightforward halves into entire numbers.

Here,

Nathan picked 3 pounds of strawberries compared to Sarah's 4 pounds. We can deduct Nathan's picking from Sarah's picking to see how much more Sarah picked than Nathan.

=>Sarah's picking and Nathan's picking =

=> 4 pounds - 3 pounds =  1 pound, respectively.

This means that Sarah harvested 1 pound more strawberries than Nathan did.

Therefore, "1 pound" is the right response.

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Answer:

Step-by-step explanation:h

The closest choice to the actual number of ways to choose 52 different winners out of 52 contestants is 16,497,400,

To solve this problem, we can use the formula for permutations, which is:

nPr = n! / (n - r)!

where n is the total number of objects (in this case, 52), and r is the number of objects we are choosing (in this case, the number of prizes, which is also 52).

Since no one can win more than one prize, we need to choose 52 different winners for the prizes. Therefore, the number of ways to do this is:

52P52 = 52! / (52 - 52)! = 52!

Using a calculator or computer program, we can find that 52! is approximately equal to 8.0658 × 10^67.

Therefore, the answer is 16,497,400, which is the closest choice to the actual number of ways to choose 52 different winners out of 52 contestants.

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Answer:

Starting with the given equation:

Ob₁ = 2h/A - 2b₂

We want to solve for b₁. First, we can simplify the equation by multiplying both sides by 2:

2Ob₁ = 4h/A - 4b₂

Next, we can add 4b₂ to both sides to isolate the term involving b₁:

2Ob₁ + 4b₂ = 4h/A

Then, we can multiply both sides by A/4h to solve for b₁:

b₁ = (2Ob₁ + 4b₂) * A/4h

Simplifying this expression, we get:

b₁ = (O/h + 2b₂) * A/2

Therefore, the solution for b₁ is:

b₁ = (O/h + 2b₂) * A/2

or

b₁ = (A O + 2b₂h)/2h

In the equation A=bh, b can be solved as b=A/h. For the equation h(b₁ + b₂)=2, b₁ can be solved as b₁=2/h-b₂

To solve the equation A = bh for b, we can isolate b by dividing both sides of the equation by h. Thus, b = A/h. For the equation h(b₁ + b₂) = 2, we isolate b₁ by first dividing both sides by h to get (b₁ + b₂) = 2/h. Then, we can subtract b₂ from both sides to solve for b₁, yielding b₁ = 2/h - b₂.

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