What is (1 2/3) divided by (1/8)?

To determine the exact values of the six trigonometric functions (sine, cosine, tangent, cosecant, secant, and cotangent) of an angle in standard position, we need additional information regarding the coordinates of the point on the terminal side of the angle.

To calculate the trigonometric functions of an angle, we require the coordinates of the point on the terminal side of the angle in standard position (measured from the origin). With these coordinates, we can determine the values of the trigonometric functions.

Specifically, we can use the ratios of the sides of a right triangle formed by the angle. The sine is the ratio of the opposite side to the hypotenuse, cosine is the ratio of the adjacent side to the hypotenuse, and tangent is the ratio of the opposite side to the adjacent side. Cosecant, secant, and cotangent are the reciprocals of sine, cosine, and tangent, respectively. However, without specific coordinates, we cannot provide the exact values of the trigonometric functions.

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As long as the measures of the three angles of a triangle add up to less than 180 degrees, and none of the angles measures more than 90 degrees, the triangle will be acute.

An acute triangle is a triangle that has three acute angles, which are angles that measure less than 90 degrees. All three angles of an acute triangle must be acute, so they must measure less than 90 degrees. The measures of the three angles of an acute triangle can be any combination of angles that add up to less than 180 degrees.

Here are some examples of the measures of the three angles of an acute triangle:

45 degrees, 45 degrees, 90 degrees

30 degrees, 60 degrees, 90 degrees

35 degrees, 40 degrees, 105 degrees

60 degrees, 60 degrees, 60 degrees (this would be an acute equilateral triangle)

As long as the measures of the three angles of a triangle add up to less than 180 degrees, and none of the angles measures more than 90 degrees, the triangle will be acute.

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The survey conducted by major television networks revealed that 65% of viewers felt that beer and other alcoholic beverage commercials targeted teenagers and young adults, while 25% disagreed, and 10% were unsure or had no opinion on the matter.

According to the results of the joint poll conducted by major television networks, viewers were asked if they felt that beer and other alcoholic beverage commercials targeted teenagers and young adults (those under 21 years old).

The survey aimed to gauge public perception regarding the advertising practices of these products.

The outcome of the survey can be summarized as follows:

The majority of respondents, comprising 65% of the participants, expressed the belief that beer and alcoholic beverage commercials do indeed target teenagers and young adults.

This indicates a significant level of concern among viewers regarding the potential influence of such advertisements on underage individuals.

On the other hand, 25% of the respondents disagreed with the notion that these commercials specifically target teenagers and young adults. This suggests that a substantial portion of the viewers do not perceive these advertisements as intentionally aimed at underage audiences.

A smaller proportion of the participants, accounting for 10% of the respondents, indicated uncertainty or had no opinion on the matter. These individuals either lacked sufficient awareness or did not hold a clear stance regarding the targeting of teenagers and young adults in beer and alcoholic beverage commercials.

The survey conducted by the major television networks provides valuable insights into public perceptions regarding the advertising practices of beer and alcoholic beverages.

The results highlight a prevailing belief among a significant majority of viewers that these commercials do target teenagers and young adults, suggesting the need for further examination and regulation in this area to ensure responsible advertising practices.

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the overall classification of the series is mixed: some of the terms are convergent and some are divergent. Therefore, the series is conditionally convergent.

It appears that there might be some errors or missing information in the provided series. However, I can provide you with a general guideline on how to determine if a series is absolutely convergent, conditionally convergent, or divergent.
1. Absolutely convergent: A series ∑a_n is absolutely convergent if the series ∑|a_n| converges. To check this, you can use various tests like the Ratio Test, Root Test, or the Comparison Test.
2. Conditionally convergent: If the series ∑a_n converges, but the series ∑|a_n| diverges, then the series is considered conditionally convergent. This usually applies to alternating series, where the terms switch signs.
3. Divergent: If the series ∑a_n does not converge, it is considered divergent. Divergence can be checked using the Divergence Test. If the limit of the sequence a_n as n approaches infinity is not equal to zero, then the series is divergent.

The series (-1)n n4 + 1 is divergent because it does not approach a finite limit as n approaches infinity.
The series (-1)nn n2+ 1 is also divergent because it does not approach a finite limit as n approaches infinity.
The series (n)2+ 4 3n is convergent because it approaches zero as n approaches infinity.
The series (-1)k+ 1 * 1 * 4 * 7 ...(3k - 2) k:2k is divergent because it does not approach a finite limit as k approaches infinity.
The series [(2n+ 1)2 5n2]n is convergent because it approaches a finite limit as n approaches infinity.
Therefore, the overall classification of the series is mixed: some of the terms are convergent and some are divergent. Therefore, the series is conditionally convergent.
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Answer:

Factoring Expressions With Exponents - Video & Lesson ...

To do this, take the greatest common factor of the numbers and the smallest exponent of each variable. 2. Divide the original expression by the greatest common factor. To do this, divide the coefficients, and subtract the exponents of the variables

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The greatest common factor (GCF) with variables and exponents is found by identifying the highest power of each variable that appears in the given expressions and choosing the one with the highest power. If a variable or exponent is not common to all the terms, it is not included in the GCF.

When finding the greatest common factor (GCF) with variables and exponents, we need to consider the highest power of each variable that appears in the given expressions. To find the GCF, we identify the common factors and choose the one with the highest power. If a variable or exponent is not common to all the terms, it is not included in the GCF.

Let's consider an example to illustrate this:

Given expressions: 2x^3y^2 and 4x^2y^3

To find the GCF, we look at the variables and exponents:

Therefore, the GCF is 2xy^2, as it is the highest power common to both expressions.

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Answer:

r square = half of l square + h square

Step-by-step explanation:

I used phythogoras theorem to express r in terms of l and h

Answer:

Step-by-step explanation:

2x² - 8x - 24 = 0

2x² - 12x + 4x - 4*6 = 0

2x(x-6) + 4(x - 6) = 0

(x - 6)(2x + 4) = 0

Answer:

7

Step-by-step explanation:

Make the fractions have a denominator of 20.

2/5 times the top and bottom by 4 (because 5 times 4 = 20) = 8/20

So 8 socks are white

1/4 times 5 = 5/20

So 5 socks are black

Add them and subtract from 20 to get the number of gray socks

20-13=7

Answer:

ok

Step-by-step explanation:

The factor that does NOT control the stability of a slope is the angle of repose for intact bedrock. The angle of repose refers to the steepest angle at which a pile of loose material remains stable without sliding. It is mainly applicable to loose materials like soil and granular substances, not intact bedrock.

Bedrock stability depends on factors such as its strength, fracturing, and geological properties, rather than the angle of repose. Factors that control the stability of a slope include whether the slope is rock or soil. Rock slopes tend to be more stable than soil slopes due to the cohesive nature of intact rock.

The amount of water in the soil also affects slope stability, as excessive water can increase pore pressure and reduce the shear strength of the soil, leading to slope failure. Additionally, the orientation of fractures, cleavage, and bedding in the rock can influence slope stability by creating planes of weakness or strength.

To summarize, while the angle of repose is a significant factor in slope stability, it is not applicable to intact bedrock. The stability of a slope is influenced by the type of material (rock or soil), the presence of water, and the orientation of fractures and bedding.

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Answer:

4/3.

Step-by-step explanation:

Unit rate is the same as slope. In order to find the slope, we are going to use this formula:

m = y2 - y1 / x2 - x1

Now, we substitute the numbers into the equation:

m = 8 - 0 / 6 - 0

m = 8/6

m = 4/3

Therefore, the unit rate is 4/3.

The median number of newspapers sold over seven weeks is 223.

The median is the middle score for a data set arranged in order of magnitude. The median is less affected by outliers and skewed data.

The formula for the median is as follows:

Find the median number of newspapers sold. (87, 87, 215, 154, 288, 235, 231)

We'll first arrange the data in ascending order.87, 87, 154, 215, 231, 235, 288

The median is the middle term or the average of the middle two terms. The middle two terms are 215 and 231.

Median = (215 + 231)/2

= 446/2

= 223

In statistics, the median measures the central tendency of a set of data. The median of a set of data is the middle score of that set. The value separates the upper 50% from the lower 50%.

Hence, the median number of newspapers sold over seven weeks is 223.

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Answer:

3

Examples of Everyday Radiation

Visible light.

Infrared light.

Near ultraviolet light.

Microwaves.

Low frequency waves.

Radio waves.

Waves produced by mobile phones.

A campfire's heat.

Answer:

To find the circumference, you multiply the radius by 2 and then multiply that by pi (or π). The equation is 2πr

In this case, we already have the radius x 2, which is the diameter. For this circle, the diameter is 12 cm.

The next step is to multiply the diameter, 12 cm, by pi (π is about equal to 3.14)

12 x π ≈ 37.698 cm or 38 cm rounded to the nearest whole number

After using the formula for the sum of an infinite geometric series, we conclude that the given infinite series does not converge to 1.

To prove that the infinite series ∑(i=1 to ∞) 2^(i-1) equals 1, we can use the formula for the sum of an infinite geometric series.

The sum of an infinite geometric series with a common ratio r (|r| < 1) is given by the formula:

S = a / (1 - r)

where 'a' is the first term of the series.

In this case, our series is ∑(i=1 to ∞) 2^(i-1), and the first term (a) is 2^0 = 1. The common ratio (r) is 2.

Applying the formula, we have:

S = 1 / (1 - 2)

Simplifying, we get:

S = 1 / (-1)

S = -1

However, we know that the sum of a geometric series should be a positive number when the common ratio is between -1 and 1. Therefore, our result of -1 does not make sense in this context.

Hence, we conclude that the given infinite series does not converge to 1.

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Answer:

1 1/2 - 1/2 = 2/2

Step-by-step explanation:

2/2 is fraction form and is equal to 1

Answer:

1

Step-by-step explanation:

it cant go in fraction form

Answer: Either A or B because you have to add the amount you have to get the total amount she spent.

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

got it right on edge

The volume of the metal in the cylinderical pipe given the dimensions of the larger and smaller cylinders is 271.30 mm³.

A cylinder is a three-dimensional object. It is a prism with a circular base.

Volume of a cylinder = nr^2h

Where:

The volume of the metal in the cylinderical pipe = 3.14 x 10 x [(8.4/2)² - 6/2)²] = 271.30 mm³

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Answer:

18°

Step-by-step explanation:

x + 140° + 22° = 180° { being sum of angles of triangle }

x + 162° = 180°

x = 180° - 162°

x = 18°

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Answer:

All real numbers

Step-by-step explanation:

When you graph f(x) = x³,  you should be able to see that within the range of y-values, you get infinite outputs because the domain has infinite inputs.

The conjecture that describes the pattern in the sequence is current term is 2 added to the previous term and the next term is 10

The sequence is given as:

0, 2, 4, 6, 8

In the above sequence, we can see that each current term is 2 added to the previous term

i.e.

Tn = 2 + Tn-1

Using the above conjecture, we have

Next term = 8 + 2

Evaluate

Next term = 10

Hence, the conjecture that describes the pattern in the sequence is current term is 2 added to the previous term and the next term is 10

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If Camila filled up a 4-gallon in just 1/6 of a  minute, then the rate of water flow through the hose is 24  gallons/minute

Camila filled up a 4-gallon bucket in just 1/6 of a minute

Here we have to use the unitary method to find the rate of water flow through the hose

The quantity of water filled in 1/6 of a minute= 4 gallon

The quantity water filled in one minutes = The quantity of water filled in 1/6 of a minute ÷ (1/6)

Substitute the values in the equation

= 4÷(1/6)

= 4×6

= 24

The rate of water flow through the hose = 24 gallons/ minute

Hence, if Camila filled up a 4-gallon in just 1/6 of a  minute, then the rate of water flow through the hose is 24  gallons/ minute

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Answer:

927.0 cm²

Step-by-step explanation:

Step 1: find Z

m < Z = 180 - (28 + 118) (sum of ∆)

= 180 - 146

Z = 34°

Step 2: Find side XY using the law of sines

\( \frac{XY}{sin(34)} = \frac{42}{sin(28)} \)

Cross multiply

\( XY*sin(28) = 42*sin(34) \)

\(XY*0.469 = 42*0.559\)

Divide both sides by 0.469

\(\frac{XY*0.469}{0.469} = \frac{42*0.559}{0.469}\)

\(XY = 50.06\)

XY ≈ 50 cm

Step 3: find the area.

Area of ∆ = ½*XY*YZ*sin(Y)

XY ≈ 50 cm

= ½*50*42*sin(118)

= 25*42*0.8829

Area = 927.045

Area ≈ 927.0 cm² (nearest tenth)

Answer:

y=-2x-2

Step-by-step explanation:

y-4=-2(x+3)

Remove parentheses

y-4=-2x-6

Move your constant to the right

4=-2x-6+4

Calculate the sum

y= -2x-2

The degrees of freedom for an independent t-test when n1 = 16 and n2 = 12 are 26.

Given,

n1 = 16

n2 = 12

Here,

An independent t-test, often known as a two-sample t-test, compares the means of two unrelated groups to see whether they are significantly different from each other. The t-test is an essential method that can help you determine whether or not a certain hypothesis is true, regardless of whether or not it is accurate.

Degree of freedom for independent t test: DF = (n1 + n2) - 2

DF = (16 + 12) - 2

DF = 26

Therefore, the degrees of freedom for an independent t-test when n1 = 16 and n2 = 12 are 26.

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Answer:

there is 12 6th graders 30 7th graders and 12 8th graders and 20% is 8th graders please mark brainlyist

Answer:

The answer is -1

Step-by-step explanation:

PLEASE MARK BRAINLIEST IT WILL HELP SM

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The probability of drawing a yellow rock and then the spinner stopping at a purple section is 3/56.

We are supposed to find out the probability of drawing a yellow rock and then the spinner stopping at a purple section.

The given information are as follows:

Number of blue rocks = 2Number of yellow rocks = 3Number of black rocks = 2Number of white sections = 9Number of blue sections = 3Number of black sections = 2Number of purple sections = 2.

Total number of rocks in the bag = 2 + 3 + 2 = 7

Total number of sections on the spinner = 9 + 3 + 2 + 2 = 16

Probability of drawing a yellow rock = Number of yellow rocks / Total number of rocks= 3/7

Probability of the spinner stopping at a purple section = Number of purple sections / Total number of sections= 2/16= 1/8.

To find the probability of drawing a yellow rock and then the spinner stopping at a purple section, we will multiply the probability of both events.

P(yellow rock and purple section) = P(yellow rock) × P(purple section)= (3/7) × (1/8)= 3/56

Thus, the probability of drawing a yellow rock and then the spinner stopping at a purple section is 3/56.

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Answer:

x = 99,53633682

Step-by-step explanation:

sin(34) = x/178

x = sin(34)×178

x = 99,53633682

Thus, we have rewritten sin (x - pi/6) in terms of sin (x) and cos (x) as: sin (x - pi/6) = (sqrt(3)/2) sin x - (1/2) cos x

To rewrite sin (x - pi/6) in terms of sin (x) and cos (x), we can use the trigonometric identity for the sine of the difference between two angles:
sin (a - b) = sin a cos b - cos a sin b
In this case, we can let a = x and b = pi/6, so we have:
sin (x - pi/6) = sin x cos (pi/6) - cos x sin (pi/6)
We know that cos (pi/6) = √(3)/2 and sin (pi/6) = 1/2, so we can substitute those values into the equation:
sin (x - pi/6) = sin x (√(3)/2) - cos x (1/2)
Thus, we have rewritten sin (x - pi/6) in terms of sin (x) and cos (x) as:
sin (x - pi/6) = (√(3)/2) sin x - (1/2) cos x

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