Suppose a is an angle in standard position whose terminal side lies in Quadrant III.
If tan a = 2/3 find the value of sin a.

Different points can be used to identify the slope as follows -

We have a straight line.

We have to investigate why is the slope same on a line when different points are used to identify the slope.

The slope of a line is denoted by m and is defined as the change in y coordinate with respect to the change in x coordinate.

According to question -

Different points can be used to identify the slope provided that they all lie on the same straight line. Line is a collection of points and these set of points can be used top determine the rate of change of y with respect to x. The slope of a line can also be found out using y - intercept of the line using the general equation of straight line -

y = mx + c.

Hence, the slope is same on a line provided that they all lie on the same straight line

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In a scatter plot, if all data points were aligned along a 44º angle, the correlation would be 0. The correct answer is D.

In a scatter plot, the correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative linear relationship, 1 indicates a perfect positive linear relationship, and 0 indicates no linear relationship.

When all data points are aligned along a 44º angle, it means that the points are distributed randomly and do not follow a clear linear pattern. There is no consistent increase or decrease in one variable as the other variable changes. Therefore, the correlation between the variables is 0, indicating no linear relationship or strength of association.

In other words, the angle of 44º suggests that the variables are unrelated and have no linear dependency on each other.

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Answer:

1. 1.96 g/L

2. 1 g/cm³

Step-by-step explanation:

Density is found by dividing mass by volume: d = m/v.

1.

We know that the mass is 0.196 grams, while the volume is 100 mL.

Converting the volume to liters, we get:

100 mL = 0.1 L

Then, applying our density formula:

d = m/v

d = 0.196 g / 0.1 L = 1.96 g/L

2.

Here, we know that the mass is 27 grams. However, we don't know the volume, which we need to find.

The block of wood is 3 cm on all sides, which means it's a cube. The volume of a cube is denoted by V = s³, where s is the side length. Here, s = 3, so V = s³ = 3³ = 27 cm³.

Applying our density formula gives:

d = m/v

d = 27 g / 27 cm³ = 1 g/cm³

~ an aesthetics lover

Answer: The answer is 7(9 + 5)=98

7x9=63

7x5=35

63+35=98

Step-by-step explanation: 63+35=98

Answer:

9(7+35)

Step-by-step explanation:

don't really have a step-by-step so I hope u don't fail

The valid arithmetic operators are division (÷), exponentiation (^), multiplication (×), addition (+), and subtraction (-). The invalid arithmetic operator in the given options is modulas division (mod).

Modulas division (mod) is not a valid arithmetic operator. Modulas division is used to find the remainder when one number is divided by another. It is denoted by the symbol "%". However, in the given options, the modulas division (mod) is marked as invalid, which means it is not recognized as a valid arithmetic operator.

The other arithmetic operators listed, such as division (÷), exponentiation (^), multiplication (×), addition (+), and subtraction (-), are all valid and commonly used arithmetic operators in mathematics and programming languages. They have well-defined operations and are widely recognized and utilized for various calculations and computations.

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When x1 = 0.5 and rho = -0.2, the value of x2 that would make the consumer indifferent to (1,1) is approximately 1.5.

The utility function can be represented as U(x1, x2) = \(x1 + rho * x2\). In this case, the consumer is indifferent to (1,1), which means that U(1, 1) = U(x1, x2). Substituting the values, we have \(1 + rho * 1 = x1 + rho * x2\).

Given that x1 = 0.5 and rho = -0.2, we can rearrange the equation to solve for x2. Plugging in the values, we get \(1 - 0.2 = 0.5 - 0.2 * x2\). Simplifying further, we have 0.8 = 0.5 - 0.2 * x2. Rearranging the equation, we find \(-0.2 * x2 = 0.5 - 0.8\). Solving for x2, we get \(-0.2 * x2 = -0.3\). Dividing both sides by -0.2, we find x2 = 1.5.

Therefore, when x1 = 0.5 and rho = -0.2, the value of x2 that would make the consumer indifferent to (1,1) is approximately 1.5.

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Answer:

Yo The answer is A,C,E or 0, 9x2y, and 4xy3

Step-by-step explanation:

Got it right on Edge. Good luck

Answer: A, C, E

Step-by-step explanation:

Step-by-step explanation:

The gross pay for the given service is $343.2.

Gross pay is what employees earn before taxes, benefits and other payroll deductions are withheld from their wages.

Given that, the regular salary of some service is $7.80 per hour, we need to calculate the gross payment with over time hour, which is 4 hours and regular hour of work is 40 hours.

Therefore,

To find, gross payment, we will multiply by 7.80 by 4 and 40, and add both to get the regular salary,

Gross payment = 7.80 × 4 + 7.80 × 40  

= 7.80(4+40)

= 7.80 × 44

= 343.2

Hence, the gross pay is $343.2

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She was going cycling at the speed of 12.5 mph.

Miles is a unit of distance that is commonly used in mega the distance between maps of the link that is divided for the letting word measurements.

To do this, first, locate the two cities on the map. Then, place the ruler on the map to measure the distance between the two cities. Make sure that the ruler is touching the two cities so that you get an accurate measurement. Once you have done this, use the map scale to determine the distance between the two cities. For example, if the scale says that 1 inch equals 100 miles, then 2 inches would equal 200 miles. Therefore, if you measure 2 inches between the two cities, then the actual distance between them would be 200 miles. By using a map and a ruler, you can accurately measure the distance between two cities.

Given

Distance covered by cyclist=3.75 miles.

Time = 0.3 hours.

We know that,

Speed = Distance ÷Time

Speed = 3.75÷0.3

= 12.5 mph

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The difference quotient for the function is 8.

The function is given by:

f ( x ) = 8 x − 9, where h ≠ 0

To find f(a), substitute a for x in the function. So we have:

f ( a ) = 8 a − 9

To find f(a + h), substitute a + h for x in the function. So we have:

f ( a + h ) = 8 ( a + h ) − 9

The difference quotient can be found using the formula:

(f(a + h) - f(a))/h

Substituting the values found above, we have:

(8 ( a + h ) − 9 - (8 a − 9))/h

Expanding the brackets and simplifying, we have:

((8a + 8h) - 9 - 8a + 9)/h

= 8h/h

= 8

Therefore, the difference quotient for the function is 8.

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The angle between the vector (3 - √2)i + 3j and the positive x-axis can be determined using trigonometry.

To find the angle between the vector and the positive x-axis, we can use the arctan function. The angle can be calculated by taking the arctan of the y-component divided by the x-component of the vector.

In this case, the vector is given as (3 - √2)i + 3j. The x-component is 3 - √2, and the y-component is 3. Using the arctan function, we can calculate the angle as arctan(3 / (3 - √2)).

By substituting the values into a calculator or using trigonometric identities, we can find the angle. It is important to note that the arctan function returns an angle in radians. If we want the result in degrees, we can convert it by multiplying the result by 180/π.

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The interpretation of this statement z = 1.42, p > 0.05 is that there is not enough evidence to reject the null hypothesis at the 0.05 level of significance.

The statement 'z = 1.42, p > 0.05' indicates the results of a statistical test that uses a standard normal distribution, also known as the z-distribution.

The value of z is a standardized score that represents how many standard deviations a sample statistic is from the population mean.

In this case, the value of z is 1.42, which means that the sample statistic is 1.42 standard deviations above the population mean.

The value of p is the probability of obtaining a test statistic as extreme or more extreme than the observed value.

Assuming that the null hypothesis is true.

In this case, the statement 'p > 0.05' means that the p-value is greater than 0.05.

Which interpret that the observed sample statistic is not statistically significant at the 0.05 level of significance.

The null hypothesis is the statement that there is no significant difference between the sample statistic and the population parameter.

That any difference observed is due to chance.

The statement 'z = 1.42, p > 0.05' suggests that the observed difference is not significant and may be due to chance.

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Answer:

what are the options?

Step-by-step explanation:

the answer is 48 square 72

Step-by-step explanation:

72+46=48square and 48square x 0

a) The range is 14.

b) The sample variance is 20.78.

c) The sample standard deviation is 4.56.

a) Range

The range of a given set of data values is the difference between the maximum and minimum values in the set. In this case, the maximum value is 15 and the minimum value is 1. So, the range is:

Range = maximum value - minimum value

Range = 15 - 1

Range = 14

b) Sample variance

To calculate the sample variance, follow these steps:

1. Calculate the sample mean (X). To do this, add up all of the data values and divide by the total number of values:

n = 9

∑x = 7 + 4 + 6 + 12 + 8 + 15 + 1 + 9 + 13 = 75

X = ∑x/n = 75/9 = 8.33

2. Subtract the sample mean from each data value, square the result, and add up all of the squares:

(7 - 8.33)² + (4 - 8.33)² + (6 - 8.33)² + (12 - 8.33)² + (8 - 8.33)² + (15 - 8.33)² + (1 - 8.33)² + (9 - 8.33)² + (13 - 8.33)² = 166.23

3. Divide the sum of squares by one less than the total number of values to get the sample variance:

s² = ∑(x - X)²/(n - 1) = 166.23/8 = 20.78

Therefore, the sample variance is 20.78 (rounded to two decimal places).

c) Sample standard deviation

To calculate the sample standard deviation, take the square root of the sample variance:

s = √s² = √20.78 = 4.56

Therefore, the sample standard deviation is 4.56 (rounded to two decimal places).

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Answer:

1 foot

Step-by-step explanation:

1 meter = 3 feet

3 feet divided by 3 = 1 foot

The length of each section of the rope is 1 foot.

The piece of rope is 1m long.

Carter divided the ropes into three equal parts by tying up the knot.

1 meter = 3 foot.

Therefore, divide 3 by 3.

\(\frac{3}{3} =1\) foot.

Therefore, each section is 1 foot long.

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Step-by-step explanation:

an = 7 + 2(n-1)

   or     an =  5 + 2n

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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Answer:

\(-9.5\) is the best answer.

Step-by-step explanation:

Given the expression

\(x + (-y)\)

putting x=1.2 and y=-10.72 in the expression

\(x\:+\:\left(-y\right)=1.2\:+\:\left(-10.72\right)\)

                \(=-9.52\)

Therefore, -9.5 is the best answer.

Answer: 3x + 6

Step-by-step explanation: PLEASE MARK ME AS BRAINLISTI AND HAVE A GREAT DAY!!!

Answer:

3x+6

Step-by-step explanation:

Step-by-step explanation:

I hope this answer is helpful ):

3)  since we don't have the information about the interest paid (I), we cannot determine the rate of interest at this time.

(1) To find the total amount Adrian paid in 36 months, we can multiply the monthly installment by the number of installments:

Total payment A = Monthly installment * Number of installments

              = $375 * 36

              = $13,500

Therefore, Adrian paid a total of $13,500 over the course of 36 months.

(2) In the simple interest formula I = Prt, the letters used represent the following variables:

I: Interest (the amount of interest paid)

P: Principal (the initial amount, or in this case, the car worth)

r: Rate of interest (expressed as a decimal)

t: Time (in years)

(3) To find the rate of interest in percentage, we need more information. The simple interest formula can be rearranged to solve for the rate of interest:

r = (I / Pt) * 100

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Answer:

Acute triangle

Step-by-step explanation:

If you add up are those angle equations, set it equal to 0, 26x - 2 = 180, you get x = 7/ Plug that back into each equation, and you realize none of the angles are more than 90. This makes it an acute triangle.

Answer:

Isosceles

Step-by-step explanation:

Isosceles: but you don't know that until you solve the following equation 6x+6 + 8x-8 + 12x

26x - 2 = 180

26x =  182

x = 182/26

x = 7

However, in the interests of proof, solving this equation

6x + 6   (48)

8x - 8    (48)

12x         (84)

Area all different. The values are given

1. The values which the given number sentences true are:

a) 11 b) 5 c) 36

2. After substituting the value of  x we get the value for y as :

a) 6 b) 0 c) 7 d) 15

3. The number sentences are :

a) x ₋ y = 25

b) 5 × p = q ÷ 2

c) 2y ₋ 14 = 6

d) 15 × 4 = 4 ₋ (x₊y)

Given in the first bit we need to find the variables:

a) h ₊ 8 = 19

arrange the constants on one side.

h = 19 ₋ 8

h = 11

b) 2p ₋ 6 = 4

arrange the constants on one side.

2p = 4 ₊ 6

2p = 10

p = 10/2

p = 5

c) 1/3 y = 12

cross multiply.

y = 36

Now in the second exercise we are asked to substitute the x value and get the value of y.

a) y = 3x ₊ 2 if x =8

substitute x value in the equation.

y = 3(8) ₊ 2

y = 24 ₊ 2

y = 26

b) y = 4x ₋ 1 if  x = 1/4

y = 4(1/4) ₋ 1

y = 1 ₋ 1

y = 0

c) y = 0.2x ₊ 5 if x = 10

y = 0.2(10) ₊ 5

y = 2 ₊ 5

y = 7

d) y = 10x ₊ 12 if x = 0.3

y = 10(0.3) ₊ 12

y = 3 ₊ 12

y = 15

In the last third bit we need to frame equations for the given word problems.

a) The difference between two numbers is 25.

let the two numbers be x and y.

x ₋ y = 25.

b) The product of 5 and p is equal to quotient of q and 2.

5 × p = q ÷ 2

c) The difference between 14 and 2y is equal to 6.

2y ₋ 14 = 6

d) The product of 15 and 4 is equal to four less than the sum of x and y.

15 × 4 = 4 ₋ (x₊y)

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Answer:

264

Step-by-step explanation:

6.5x22+22x5.5=264

Answer:

5/8

Step-by-step explanation:

A T L A N T I C

8 letters, 3 vowels, 5 consonants

5 consonants out of 8 letters = 5/8

Whave established that the series l~=l an - z converges uniformly for Re(z) ≤ c

What is uniformly?

The keyword "uniformly" refers to the concept of uniform convergence. In the context of the given question, it is stated that the series l~=l an - z converges uniformly for Re(z) ≤ c. Uniform convergence means that the convergence of the series is independent of the value of z within a certain range (Re(z) ≤ c in this case).

To show that the series l~=l an - z converges uniformly for Re(z) ≤ c, where an is a bounded sequence of complex numbers and we choose the principal branch of n - z, we need to demonstrate that for any ε > 0, there exists an N such that for all n > N and for all z with Re(z) ≤ c, the inequality |l~=l an - z| < ε holds.

Given that an is a bounded sequence, there exists an M > 0 such that |an| ≤ M for all n.

Let's consider the series l~=l an - z. We can write it as:

l~=l an - l z.

Now, since |an| ≤ M for all n, we have:

|an - z| ≤ |an| + |z| ≤ M + c.

By choosing N such that M + c < ε, we can ensure that for all n > N and for all z with Re(z) ≤ c, the inequality |an - z| < ε holds.

Now, using the triangle inequality, we have:

|l~=l an - z| ≤ |an - z|.

Since we have shown that |an - z| < ε for n > N and Re(z) ≤ c, it follows that |l~=l an - z| < ε for n > N and Re(z) ≤ c.

Therefore, we have established that the series l~=l an - z converges uniformly for Re(z) ≤ c.

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Answer:

-3

Step-by-step explanation:

The slope would be rise over run. So from -2 to 7 would be a difference of 9. From -2 to -5 would be a difference of -3. Therefore it should be 9/-3 or -3 as your slope.

The probability that exactly 5 out of 10 graduates become vice presidents is 0.2007 or 0.201 (rounded to three decimal places).

We can use the binomial distribution to solve this problem.

Let X be the number of graduates who become vice presidents out of the 10 selected.

Then X follows a binomial distribution with parameters n = 10 and p = 0.4. We want to find the probability that exactly 5 become vice presidents, i.e., P(X = 5).

Using the formula for the binomial probability mass function, we have:

P(X = 5) = (10 choose 5) *\((0.4)^5 * (0.6)^5\)

P(X = 5) = (252) * (0.01024) * (0.07776)

P(X = 5) = 0.2007

Therefore,

The probability that exactly 5 out of 10 graduates become vice presidents is 0.2007 or 0.201 (rounded to three decimal places).

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