What is domain of f.

Given that `cos θ = -2/3` and `tan θ < 0`. We need to find the value of `sin θ`.Here, we are given that `cos θ = -2/3`.Therefore, `sin θ = sqrt(1 - cos² θ).

Using the given value of `cos θ`, we can substitute this value in the above equation to get:`sin θ = sqrt(1 - (2/3)²) = sqrt(1 - 4/9) = sqrt(5/9)`Now, we know that `tan θ = sin θ/cos θ`.

Let us substitute the values of `sin θ` and `cos θ` that we found above:`tan θ = sqrt(5/9) / (-2/3) = -sqrt(5/4) = -(1/2)sqrt(5)`Therefore, the exact value of `sin θ` is `sqrt(5/9)`.

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Numbers are written as combinations of letters.

We do a sum of roman numerals

X + X + V + III = XXVIII

10 + 10 + 5 + 3 = 28

The Roman numeral  XXVIII corresponds to the number 28 (twenty-eight).

Answer: front tear

Step-by-step explanation:

The given expression of the values of the function, f(3) - g(2) = 1

A function is a relation that relates each element of one set a unique element of another set.

If f is a function and f (x) = x+2, The  value of  f (x) at x =1 is given as f(1) and substitute 1 in place of x in the formula of f(x)

⇒ f(1) = 1+2 =3

If f(x) = 3x-4 and g(x) = x², find the value  of f(3) - g(2)

Given f(x) = 3x-4

Then value of f at x=3 ⇒ f(3) = 3(3) -4 = 9-4 = 5

And Given g(x) = x²

Then value of g at x=2 ⇒ g(2) = (2)² = 4

The value f(3) - g(2) = 5 - 4 = 1

Therefore, the value of f(3) - g(2)  is 1.

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The appropriate null hypothesis for this situation would be: H₀: The proportion of website visits resulting in a sale after the redesign is equal to 15% (P = 0.15).

This hypothesis assumes that there is no significant change in the proportion of website visits resulting in a sale after SmartWool's website has been redesigned.

A null hypothesis is a claim that there is no effect or difference in the population. It is usually denoted by H0.

A null hypothesis can be tested using a statistical test that compares the observed data with the expected data under the null hypothesis.

A null hypothesis can be rejected or not rejected based on the p-value of the test, which measures the probability of observing the data under the null hypothesis.

Think about what the proportion of website visits resulting in a sale means and how it can be compared to the old site’s proportion.

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Answer:

Step-by-step explanation:

n(A U B) = n(A) + n(B) - n(A n B)

From the question;

n(A n B) = 7 n(A U B) = 54 n(A) = 35

substituting the values into the formular above and then solve for n(B)

54 = 35 + n(B) - 7

54 = 28 + n(B)

subtract 28 from both-side of the equation

54 - 28 = 28 - 28 + n(B)

26 = n(B)

Answer:

10

Step-by-step explanation:

3x + 5y

Let x= -5 and y =5

3(-5) + 5(5)

Multiply first

-15 +25

Then add

10

The length of the legs of the right triangle are 2.83 units.

A right tangle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, the legs of the triangle can be found using trigonometric ratios.

Hence,

sin 45 = opposite / hypotenuse

sin 45 = a / 4

cross multiply

a = 4 × 0.70710678118

a = 2.83 units

Therefore,

cos 45 = b / 4

cross multiply

b = 0.70710678118 × 4

b = 2.82842712475

b = 2.83 units

Therefore, the legs are 2,83 units

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My friend consumed 8 donuts in one sitting. 8 donuts is a lower bound on how many donuts he is physically capable of eating in one sitting option A.

An element of K that is bigger than or equal to each member of S is referred to as an upper limit or majorant of a subset S of some preordered set (K, ) in mathematics, notably in order theory. In addition, each element of K that is smaller than or equal to each element of S is characterised as a lower limit or minorant of S.

A set that has an upper (or lower) bound is referred to as being majorized (or minorized), bounded from above, or minorized by that bound. In the mathematical literature, sets that have upper (or lower, respectively) limits are referred to as being bounded above (or below).

Friend consumed 8 doughnuts. So it is

lower bound on how can eat in a sitting.

Many donuts he lower bound is the lowest quantity in a set, as in our.

example, we definitely know he can eat 8 of them. We don't know how many more can be eat (upper bound) or is it exact amount be can eat.

Hence option (a) is correct.

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Answer: Angelia rides 23.33 miles in 5 days.

Step-by-step explanation:

Angelia lives 2 1/3 miles from school, which is equivalent to 2 + 1/3 = 2.333 miles. She rides her bicycle to school and back each day, so she travels twice the distance daily.

Daily distance = 2 × 2.333 miles = 4.666 miles

She does this for 5 days, so the total distance she rides in 5 days is:

Total distance = 4.666 miles/day × 5 days = 23.33 miles

So, Angelia rides 23.33 miles in 5 days.

Answer:23.5 miles (i think)

Step-by-step explanation:

If Angelia bikes 2 1/3 miles 2 times everyday that means she would ride about 4.7 miles per day. In 5 days she would ride 23.5 miles because 4.7 times 5 is 23.5

Answer: To find an equivalent system of equations, we can use algebraic operations to manipulate the original equations while preserving the solutions.

One way to eliminate one of the variables is to multiply one of the equations by a constant that will make the coefficients of one of the variables in the two equations opposite in sign. Here, we can multiply the first equation by -5 and the second equation by 2 to eliminate the x variable:

-10x - 20y = -20

10x - 10y = 10

Adding these two equations, we get:

-30y = -10

Dividing both sides by -30, we get:

y = 1/3

Substituting this value of y into one of the original equations, we can solve for x:

2x + 4(1/3) = 4

2x + 4/3 = 4

2x = 8/3

x = 4/3

Therefore, an equivalent system of equations is:

x = 4/3

y = 1/3

These two equations have the same solution as the original system.

Step-by-step explanation:

Answer:

31122

Step-by-step explanation:

Hope this helps.

Answer:

the answer is 31,122

Answer:

43 centigrams > 31.7 milligrams

Step-by-step explanation:

Since 43 centigrams is equal to 430 milligrams, it is therefore greater that 31.7 milligrams.

The solution is in attachment.

The Arizona Department of Real Estate takes its rules and regulations from three basic sources: The Arizona State Constitution, Arizona Revised Statutes, and the Arizona Administrative Code.

The Arizona Department of Real Estate derives its rules and regulations from three primary sources. Firstly, the Arizona State Constitution serves as a fundamental legal document that outlines the framework and principles upon which the state operates.

Secondly, the Arizona Revised Statutes (ARS) provide the statutory laws enacted by the Arizona State Legislature. These statutes specifically address real estate matters and govern the activities and conduct of individuals and organizations involved in the real estate industry.

Lastly, the Arizona Administrative Code (AAC) contains the administrative rules and regulations established by various state agencies, including the Arizona Department of Real Estate. The AAC provides detailed guidelines and procedures for implementing and enforcing the laws set forth in the Arizona Revised Statutes, ensuring compliance and facilitating the proper functioning of the real estate sector within the state.

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To convert steps to miles, use the average stride length to calculate the distance covered by the steps.The average stride length for a person is approximately 2.5 feet, and there are approximately 5,280 feet in a mile.

Unit conversion is the process of changing a quantity from one unit of measurement to another, while maintaining its value. This is often done to compare measurements in different systems of units or to express a measurement in a unit that is more appropriate for a particular situation.

For example, converting between metric units (such as grams or meters) and imperial units (such as ounces or feet) is a common type of unit conversion. The process of unit conversion involves using a conversion factor, which is a ratio that relates the units being converted.  

To convert steps to miles, simply multiply the number of steps taken by the average stride length, and then divide the result by 5,280.

For example, if you take 10,000 steps, the distance covered would be approximately 4.47 miles (10,000 x 2.5 / 5,280).

Keep in mind that the average stride length can vary based on factors such as height, age, and fitness level, so it is important to measure your own stride length for the most accurate results.

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The equation \(x^{2} -6x+7=0\) can be written in the form \((x-3)^{2} =2\).

To write the equation \(x^{2} -6x+7=0\) in the form \((x-a)^{2} =b\) using the completing the square method, we need to follow these steps:
1. Move the constant term to the other side of the equation: \(x^{2} -6x=-7\).
2. Take half of the coefficient of \(x(-6)\) and square it: \((-6/2)^{2} =9\).
3. Add this value to both sides of the equation: \(x^{2} -6x+9=-7+9\), which simplifies to \(x^{2} -6x+9=2\).
4. Rewrite the left side of the equation as a perfect square: \((x-3)^{2}=2\).

Therefore, the equation \(x^{2} -6x+7=0\) can be written in the form \((x-3)^{2}=2\).

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Answer:

89.1

Step-by-step explanation:

The slope of the line is zero beacuse it is a straight line.

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

The slope of the line is calculated as follows:

m = Δy/Δx

Given that the line that passes through the points (-1, -2) and (3, -2)

To find the slope of the line that passes through points (-1, -2) and (3, -2)

Therefore, the slope of the line is;

m = Δy/Δx

m = (-2 + 2)/(3 - 1)

m = 0

Hence, the slope of the line is zero beacuse it is a straight line.

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Answer:

Hes 3

Step-by-step explanation:

its 1/4 of 12 = 3

Answer:

43.

Step-by-step explanation:

12 • 4 - 5 = 43. Mr Anderson is 43.

The null hypothesis is a common statistical theory that contends that there is no statistical relationship or significance between any two sets of observed data and measured phenomena for any given single observed variable.

A statistical hypothesis known as a null hypothesis asserts that no statistical significance can be found in a collection of provided observations.

Using sample data, hypothesis testing is performed to judge a theory' veracity. It is sometimes referred to as just "the null," and its symbol is H0.

To determine if a theory regarding markets, investing methods, or economies is correct or wrong, quantitative analysts employ the null hypothesis, often known as the conjecture.

A null hypothesis is a form of statistical supposition that contends that specific characteristics of a population or method for gathering data are not different from one another.

Hence, The null hypothesis is a common statistical theory that contends that there is no statistical relationship or significance between any two sets of observed data and measured phenomena for any given single observed variable.

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Answer:

The values of

k are

(-4,2)

Step-by-step explanation:

sorry if wrong

The given property of X, known as the memory-less property, implies that X is a geometrically distributed random variable with some parameter p € (0,1).

To prove this, let X be a non-negative integer-valued random variable with the memory-less property. We can compute the following probability:

P(X = k+j | X > k) = P(X = k+j) / P(X > k)

By applying the memory-less property, we get:

P(X = k+j | X > k) = P(X > j)

Rearranging the above equation, we have:

P(X > j) = P(X = k+j) / P(X > k)

Solving for P(X = k+j), we get:

P(X = k+j) = P(X > j) * P(X > k)

Now, we can express P(X = k+j) in terms of p, the probability of success, as follows:

P(X = k+j) = (1-p)^{j+1} * (1-p)^{k}

Therefore, we see that X is a geometrically distributed random variable with parameter p € (0,1).

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Answer:

1,331in^3

Step-by-step explanation: