based on the appearance of tissot's indicatrices and any information you might be able to read online about the coordinate system, what geometric properties (if any) does this coordinate system preserve?

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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After calculating, we find out that It took Jules 1 hour and 15 minutes or 1.25 hours to eat the lunch.

To find out how long Jules took for lunch, we need to subtract the time represented by the "start" point from the time represented by the "finish" point on the number line. The "start" point appears 6 tick marks after 1 o'clock, so that's 1 hour + 6 × (1/4 hour / tick mark) = 1 hour + 30 minutes + 2.25 hours = 3.75 hours. So, the time it took Jules to eat lunch is 3.75 hours - 2.5 hours = 1.25 hours.  Therefore, it took Jules 1 hour and 15 minutes to eat lunch.

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The slope of the given problem is 14

It is a problem of linear regression Line

y = a +by

where a = ∑Y - b ∑X / N  

and b = N ∑XY - (∑X×∑Y)/ ( N∑x²- (∑X)  

      Month(X) Temperature (y)  X²              XY

               1                   42                        1                  42

               2                  56                        4                 112

               3                  70                         9                210

               4                  84                        16               336

Total        10               252                     30               700

Number of observation (n) = 4

So, b = 4(700) - (10)(252) / ( 120 - 10²)

         = 2800-2520/20

        = 280/20

         = 14

b = 14

Now a=  252 - (14)10/ 4

          =112 /4

         = 28

So, The linear regression line is

         y= 28 + 14x

Slope = 14

The slope here is positive which means increase in period or moving forward in month is increasing the average temperature of the month.

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Answer:

cap 1,8

miu

Step-by-step explanation:

Answer:

0.5 years

Step-by-step explanation:

Answer:

x=-2

Step-by-step explanation:

9x+13=-5

9x=-5-13

x=-18/9

x=-2

\( \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }\)

\( \large\underline{ \boxed{ \sf{✰\: Let's\: solve }}}\)

\(\sf➛9x +13=-5 \\ \sf➛9x = - 5 - 13 \\ \sf➛9x = - 18 \\ \sf➛x = \cancel \frac{ - 18}{9} \\ \sf➛x = - 2\)

Hope it helps ~

Answer:

x-coordinate

Step-by-step explanation:

Answer:

the answer is x coordinate

Answer:

4.6cm

Step-by-step explanation:

A diagram showing the analysis from the question has been attached to this response. Kindly download it and view.

From the diagram,

=> We have three angles given

(i) the right angle, 90°

(ii) the angle opposite to side x, 50°

(iii) the angle opposite to side y, 40°

=> We also have one side given,

(i) the hypotenuse, of length 6cm

We can therefore apply the sine rule as follows;

\(\frac{sin 90^0}{6} = \frac{sin 50^0}{x} = \frac{sin 40^0}{y}\)           ---------------(i)

Now to get the value of x, we'll equation the first and second terms of equation (i) as follows;

\(\frac{sin 90^0}{6} = \frac{sin 50^0}{x}\)               [cross multiply]

\(xsin90^0 = 6 sin 50^0\)

\(x * 1 = 6 * 0.7660\)

\(x =4.596\) cm = 4.6cm  [to the nearest tenth]

Therefore, the value of x is 4.6cm to the nearest tenth

Answer:

4.6 cm

Step-by-step explanation:

just took on edge

In this scenario, we are considering an investment that will pay $3,000 in 34 years. We are given an appropriate discount rate of 8 percent. To determine the present value of this investment, we can use the present value formula. Additionally, we are provided with the information that the investment is being sold for $773, and we need to calculate the rate of return investors will earn on this investment.

a. Present value of the investment:

To calculate the present value of the investment, we use the present value formula:

Present Value = Future Value / (1 + Discount Rate)^n,

where Future Value is $3,000, the Discount Rate is 8 percent (0.08), and n is the number of years, which is 34 in this case.

Present Value = $3,000 / (1 + 0.08)^34 = $219.13

Therefore, the present value of the investment, considering an 8 percent discount rate, is $219.13.

b. Rate of return on the investment:

The rate of return on an investment is calculated using the formula:

Rate of Return = (Future Value - Purchase Price) / Purchase Price * 100,

where Future Value is $3,000 and the Purchase Price is $773.

Rate of Return = ($3,000 - $773) / $773 * 100 ≈ 288.46%

Therefore, the rate of return investors can earn on this investment, if they buy it for $773, is approximately 288.46%.

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Given function is f(x) = 3x³ - 9x² + 12So, f’(x) = 9x² - 18xOn equating f’(x) = 0, 9x² - 18x = 0 ⇒ 9x(x - 2) = 0The stationary points are x = 0 and x = 2.The nature of each stationary point is determined as follows:At x = 0, f’’(x) = 18 > 0, which indicates a minimum point.

At x = 2, f’’(x) = 36 > 0, which indicates a minimum point.Second derivative f’’(x) = 18x - 18The points of inflection can be determined by equating f’’(x) = 0:18x - 18 = 0 ⇒ x = 1The x-coordinate of the point of inflection is x = 1.Now we can find the y-coordinate by using the given function:y = f(1) = 3(1)³ - 9(1)² + 12 = 6The point of inflection is (1, 6).

Therefore, the first derivative is 9x² - 18x and the stationary points are x = 0 and x = 2. At x = 0 and x = 2, the nature of each stationary point is a minimum point. The second derivative is 18x - 18 and the point of inflection is (1, 6).

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Answer:

honestly I just need likes on this sorry i couldn't help.

Step-by-step explanation:

The simplified form of the given expression is 41.216.

The given expression is (3.2)(3.22)4.

We have to solve the given expression.

We can solve this equation by multiplying the term to one another because we know that if there is no symbol between the term then there should be the symbol of multiplication.

So we can write the given expression as

(3.2) × (3.22) × 4

To simplify this expression we first multiply the 3.2 to the 3.22 or we can also multiply 3.2 to the 4 or we can also multiply 3.22 to the 4. After multiplying the two term then we multiply the result of two number multiplication to the third number.

In that way we can easily simplify the given expression. Now,

= 10.304 × 4

= 41.216

Hence, the simplified form of the given expression is 41.216.

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Answer:

524

Step-by-step explanation:

First find the number we want to find

532 - 308 = 224

Set blank -300 equal to the number

blank - 300 = 224

Add 300 to each side

blank -300+300 = 224+300

blank = 524

Answer:

Step-by-step explanation:

60 degrees angles 2

2x equal over five so ur answer will be c

Answer: The number of speeding tickets issued is represented by x and the number of tickets for failure to obey traffic signals is represented by y. The total number of tickets issued is 130, so we have:

x + y = 130

The total amount of money collected in fines is $8,710.00, so we have:

67x + 67y = 8710

These two equations form a system of linear equations that can be used to determine the number of speeding tickets, x, and the number of tickets for failure to obey traffic signals, y. To solve this system, we can use any of the methods for solving a system of linear equations, such as substitution, elimination, or matrices.

Step-by-step explanation:

The smallest p-value is always associated with the z-score that is furthest away from the mean. This is because the tails of the normal distribution curve have less area and thus represent smaller p-values. The correct answer is option (d) z = -3.24.

In a hypothesis test, there are two hypotheses: the null hypothesis (H0) and the alternative hypothesis (H1).

The null hypothesis is the one we're testing, while the alternative hypothesis is the one we're trying to support or prove.

A two-tailed alternative hypothesis is one in which we are interested in whether a parameter is not equal to a certain value, as opposed to one-tailed alternative hypotheses, in which we are interested in whether the parameter is greater than or less than a certain value.

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The size  of square tablecloth needed to cover the entire square tabletop is 25 ft^2 (Option B).

To determine the size of the tablecloth needed to cover a square tabletop with a perimeter of 20 feet, we will first find the side length of the square and then calculate the area.

Step 1: Determine the side length of the square.
Since the perimeter of a square is equal to 4 times its side length (P = 4s), we can find the side length by dividing the perimeter by 4.
Side length (s) = Perimeter (P) / 4 = 20 ft / 4 = 5 ft

Step 2: Calculate the area of the square.
The area of a square is equal to the side length squared (A = s^2).
Area (A) = Side length (s) ^ 2 = 5 ft ^ 2 = 25 ft^2

So, the size of the tablecloth needed to cover the entire square tabletop is 25 ft^2 (Option B).

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The procedure which is deemed to be the type of sample in discuss is; representative sample are free of bias.

Representative sampling and random sampling are two techniques used to help ensure data is free of bias. A representative sample on the other hand is a group or set chosen from a larger statistical population according to specified characteristics. A random sample is a group or set chosen in a random manner from a larger population.

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Answer:

\(\boxed{\bold{p=-9}}\)

Step-by-step explanation:

\(\bold{ \cfrac{1}{4}\:p+\cfrac{3}{4}\left(p-8\right)=11+\cfrac{1}{4}\left(12p+4\right)}\)

\(\bold{\cfrac{1}{4}\left(12p+4\right)}\)

Multiply fractions:

\(\bold{\cfrac{1\times \left(12p+4\right)}{4}}\)

\(\bold{\cfrac{12p+4}{4}}\)

\(\bold{\cfrac{1}{4}\:p+\cfrac{3}{4}\left(p-8\right)=11+\cfrac{12p+4}{4}}\)

Now, Multiply both sides by 4:

\(\bold {\cfrac{1}{4}\:p\times \:4+\cfrac{3}{4}\left(p-8\right)\times \:4=11\times \:4+\cfrac{12p+4}{4}\times \:4}\)

\(\bold {p+3\left(p-8\right)=12p+48}\)

Expand: Apply Distributive property:

\(\bold{p+3p-24=12p+48}\)

Combine like terms:

\(\bold{(p+3p):4p}\)

\(\bold{4p-24=12p+48}\)

Add 24 from both sides:

\(\bold{4p-24+24=12p+48+24}\)

\(\bold{4p=12p+72}\)

Subtract 12p from both sides:

\(\bold{4p-12p=12p+72-12p}\)

\(\bold{-8p=72}\)

Divide both sides by -8:

\(\bold{\cfrac{-8p}{-8}=\cfrac{72}{-8}}\)

\(\bold{p=-9}\)

______________________________________

Answer:

1/2

Step-by-step explanation:

Filling out the tree diagram,

On the first throw, there is a 4/4 = 100%* chance Jennifer hits or misses. Therefore, the chance she misses is equal to the difference between

(chance she hits or misses) - (chance she hits) = 4/4 - 1/4 = 3/4

For the second throw, the chance she hits is independent of whether she hits or misses on the first throw. This means that it does not matter whether she hits or misses on the first throw; her chance to hit the second throw will always be 1/3. Therefore, 1/3 can go into the hit category on each hit line on the second throw, and in the miss category, we can put

100% - 1/3 = 1 - 1/3 = 3/3 - 1/3 = 2/3

For Jennifer to hit the bullseye at least once, she must either:

- Hit and then hit

- Hit and then miss

- Miss and then hit

From this, we can determine that if Jennifer hits the first bullseye, she will have hit it at least once, no matter what. Therefore, Jennifer must either:

- Hit the first one

- Miss and then hit

In probability, OR /either means that we add the probabilties. The probability that she hits the first one is 1/4, and the probability that she misses and then hits is

(probability she misses the 1st one) * (probability she hits the second one). We know to multiply here because both scenarios must happen, and for AND probabilities, we multiply. We thus have

(3/4) * (1/3) = 3/12 = 1/4 as the probabilty that she misses then hits, and 1/4 as the probability that she hits the first one. We add these up to get 1/4 + 1/4 = 2/4 = 1/2 as our probability that she hits the bullseye at least once

* we know 4/4 = 100% because 100% = 1, and anything divided by itself is equal to 1.

The t-critical values for a two-tailed test, for a significance level of α=0.05 , tc​=−2.035  and  tc​=2.035

What is the standard deviation?

a) H0: μ = 32 vs. Ha: μ ≠ 32  

Null hypothesis states that the average age of the customers is 32 years.

(b) n= 34

sample mean = 35.7

standard error = 1.631

SE = s/√n

1.671 = s/√34

s= 9.5103

Assuming that the data is normally distributed. Also since the Sample size is small and population deviation is not given, we calculate t statistics.  

  t = 35.7 - 32/9.5103 - √34

 t = 2.2685

The t-critical values for a two-tailed test, for a significance level of α=0.05

tc​=−2.035  and  tc​=2.035

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that it is important for likert-type scale response choices to be balanced at the ends of the response continuum. This means that there should be an equal number of positive and negative response options to avoid any bias or skew in the results.

An explanation for this is that if there are too many positive or negative response options, respondents may feel pressured to choose a certain option even if it doesn't accurately reflect their true opinion. This can result in inaccurate data and can skew the results of the survey or study.

balancing the response choices on a likert-type scale is crucial for obtaining accurate and unbiased data. By having an equal number of positive and negative options, respondents are more likely to provide honest and accurate responses.

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The probability that the coin is a biased coin after one flip that results in tails is about 10.9%.

Bayes' theorem is a mathematical formula that helps us update our beliefs about the probability of an event occurring based on new information or evidence. It involves the prior probability, which is our initial belief about the probability of an event, and the likelihood of the evidence given that the event has occurred. By combining these two pieces of information, Bayes' theorem allows us to calculate the updated or posterior probability of the event occurring.

After one flip that results in tails, the probability that the coin is a biased coin can be found using Bayes' theorem:

P(biased coin | tails) = P(tails | biased coin) * P(biased coin) / P(tails)

P(tails | biased coin) = 3/5 (given)

P(biased coin) = 0.1 (given)

P(tails) = P(tails | fair coin) * P(fair coin) + P(tails | biased coin) * P(biased coin)

= 1/2 * 0.9 + 3/5 * 0.1

= 0.55

Therefore,

P(biased coin | tails) = (3/5 * 0.1) / 0.55

= 0.109 (approximately)

Thus, the probability that the coin is a biased coin after one flip that results in tails is about 10.9%.

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Assume that 90% of the coins in circulation are fair, and the remaining 10% are biased coins that give tails with probability 3/5. i hold a randomly chosen coin and begin to flip it.

(a) after one flip that results in tails, what is the probability that the coin i hold is a biased coin? after two flips that both give tails? after n flips that all come out tails?

Answer:

$60.19

1.) 85.99 x 0.30

2.) 25.797 - 85.99

3.) 60.193

4.) round

$60.19

Hope this helped!

Answer:

John is paying $60.19 for the boots after 30%off.

Step-by-step explanation:

$60.193 or $60.19

Divide and multiply the supplied fraction by the same square root number in order to rationalise the denominator.

Rationalization of the denominator refers to the removal of any radical terms or surds and the simplification of the fraction's expression.

Divide and multiply the supplied fraction by the same square root number in order to rationalise the denominator. The denominator will be a rational integer in this case.

For instance, explaining (17√17)

When we rationalise the denominator, we obtain the following:

17/√17 x (√17/√17)

= (17√17)/17

= √17

Hence, 17 equals 4.123.

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Answer:

Step-by-step explanation:

i² = (-1)

\(\sqrt{-20} =\sqrt{20i^{2}}\\\\=\sqrt{2*2*5*i^{2}}\\\\=2i\sqrt{5}\)

On solving the expression for (y), we get two possible values, one real and one complex as -

y = √{ (a²x²/c² + a² + 2a²x/c) - (x² + c² + 2xc)}    -- Real

y = i√{(a{x/c + 1})² + (x² + c² + 2xc)}    -- Complex

Given is the expression as follows -

√{(x + c)² + y²} = x (a/c) + a

√{(x + c)² + y²} = xa/c + a

√{(x + c)² + y²} = a{x/c + 1}

√{x² + c² + 2xc + y²} = a{x/c + 1}

{x² + c² + 2xc + y²} = ± (a{x/c + 1})²

Now, we can write -

{x² + c² + 2xc + y²} = (a{x/c + 1})²              ...... (1)

and

{x² + c² + 2xc + y²} = - (a{x/c + 1})²                 ......... (2)

Solving (1) as -

{x² + c² + 2xc + y²} = (a{x/c + 1})²    

{x² + c² + 2xc + y²} = a²(x/c + 1)²

{x² + c² + 2xc + y²} = a²(x²/c² + 1 + 2x/c)

{x² + c² + 2xc + y²} = (a²x²/c² + a² + 2a²x/c)

y² = (a²x²/c² + a² + 2a²x/c) - (x² + c² + 2xc)

y = √{ (a²x²/c² + a² + 2a²x/c) - (x² + c² + 2xc)}

Solving (2) as -

{x² + c² + 2xc + y²} = - (a{x/c + 1})²                

y² =  - (a{x/c + 1})² - (x² + c² + 2xc)

y² = - {(a{x/c + 1})² + (x² + c² + 2xc)}

y = √- {(a{x/c + 1})² + (x² + c² + 2xc)}

y = i√{(a{x/c + 1})² + (x² + c² + 2xc)}

Therefore, on solving the expression for (y), we get two possible values, one real and one complex as -

y = √{ (a²x²/c² + a² + 2a²x/c) - (x² + c² + 2xc)}    -- Real

y = i√{(a{x/c + 1})² + (x² + c² + 2xc)}    -- Complex

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Answer:

here

Step-by-step explanation: