A qualitative variable can be at which levels of​measurement?Choose the correct answer below.A. ordinal or intervalB. interval or ratioC. nominal or ordinalD. A qualitative variable can be at any of the four levels of measurement

Answer: -1

Step-by-step explanation:h(x) = -x - 3

so

h(-2) = - (-2) - 3 = 2 - 3 = -1

Answer:

h(-2) = -1

Step-by-step explanation:

subsitute x = -2 into h(x) = -x -3

h(-2) = -(-2)-3

h(-2) = -1

I hope this helps you :)

The missing side of the right angled triangle is √202.

Given is a right angled triangle as shown in the image attached.

We can write -

(hypotenuse)² = (base)² + (perpendicular)².

x² = 11² + 9²

x² = 121 + 81

x² = 202

x = √202

Therefore, the missing side of the right angled triangle is √202.

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Answer:

$321.60

Step-by-step explanation:

area = 4 * 5 = 20

20 * 16.08 = 321.60

Answer:

$321.60

Step-by-step explanation:

An equation of the linear function represented by the table above in slope-intercept form is y = x - 3.

In Mathematics, the slope-intercept form of a line can be calculated by using this linear equation:

y = mx + c

Where:

Next, we would determine the slope of the data points in this table as follows;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Slope, m = (-1 - (-2))/(2 - 1)

Slope, m = 1/1

Slope, m = 1

At point (1, -2), a linear equation of this line can be calculated in slope-intercept form as follows:

y - y₁ = m(x - x₁)

y - (-2) = 1(x - 1)

y + 2 = x - 1

y = x - 1 - 2

y = x - 3

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Answer:

Find the domain by finding where the expression is defined.

Interval Notation: ( −∞, −4) ∪ (−4,∞)

range is

y ∈ R, y ≠ 1  or

(−∞,1)∪(1,∞)

sorry if this is wrong I tried!

The domain and range of the function are:

Domain: (-∞, -4) U (-4, ∞)

Range: (0. 1)

We have,

Domain:

The domain represents the set of all possible input values for the function.

Since the expression (x + 4) appears in the denominator, we must exclude any values of x that would make the denominator equal to zero.

The domain of the function is all real numbers except for x = -4.

So,

Domain: (-∞, -4) U (-4, ∞)

Range:

The range represents the set of all possible output values of the function.

As x approaches negative infinity (x → -∞):

Since both the numerator and denominator approach negative infinity,

lim(x → -∞) 2x/(x + 4) = 2(-∞)/(-∞ + 4) = -∞/(-∞) = 1

As x approaches positive infinity (x → +∞):

lim(x → +∞) (2x/(x + 4))² = (lim(x → +∞) 2x/(x + 4))²

lim(x → +∞) 2x/(x + 4) = 2(+∞)/(+∞ + 4) = +∞/(+∞) = 1

So,

Range: (0, 1)

Thus,

The domain and range of the function are:

Domain: (-∞, -4) U (-4, ∞)

Range: (0. 1)

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There are 168 positive integers that are there less than 1000 that are relatively prime to 100 with no common factor.

Prime numbers are numbers that have only two factors, that are, 1 and the number itself, and any whole number greater than 1 that is divisible only by 1 and itself, is defined as a prime number.

There are some properties of prime numbers:

To find the prime number, first, we have to find the factors of the given number. If the number of factors is more than two, then the number is not a prime number otherwise it is a prime number.

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Expenditure is divided by total GDP at market price multiplied by 100.

Real GDP is computed by subtracting the most recent year’s real GDP from the previous year’s real GDP. The difference is then divided by the previous year’s actual GDP. Real GDP may also be calculated if nominal GDP and the current inflation rate are known.

GDP at market value is the total of all expenditures. The GDP market price percentage rate is computed by dividing spending by total GDP at market price and multiplying by 100. GDP may be calculated in three ways: the value added technique, the income approach (how much money is made as revenue from resources utilized to manufacture things), and the expenditures approach (how much is spent on stuff).

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In mathematics, the product is the result of multiplying two or more numbers, variables, or expressions together.

Product

In mathematics, the product is the result of multiplying two or more numbers, variables, or expressions together. This can include multiplying real numbers, fractions, irrational numbers, complex numbers, and polynomials. When multiplying two or more numbers, the product is the number that is obtained when all the numbers are multiplied together. To calculate the product, each number is multiplied by the other and the sum of all the products is the total product. For example, if you are multiplying two numbers together, 4 and 5, the product is 20 (4x5=20). The product is an important concept in mathematics, as it is used in many different equations and formulas.

In mathematics, the product is the result of multiplying two or more numbers, variables, or expressions together.

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Yes, it is a polynomial because it is a mathematical expression composed of constants and variables with non-negative integer exponents only. It is a second degree polynomial because it has an x² term, with the highest exponent being 2.

Yes, this expression is a polynomial. A polynomial is a mathematical expression composed of constants and variables with non-negative integer exponents only. Therefore, it must meet this criteria in order to be considered a polynomial. In the expression â 3x² 2x, both terms meet this criteria as the variables are raised to non-negative integers (x² and x). Additionally, this polynomial is a second degree polynomial because it has an x² term, with the highest exponent being 2. This indicates that the highest degree of the polynomial is 2. A polynomial of degree 2 is referred to as a quadratic polynomial, as it is in the form of a quadratic equation.

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Answer:

2:3, 8:12, 12:18

Step-by-step explanation:

4:6

Simplify the ratio by 2, you get the ratio, in simplest form, which is 2:3

4:6 multiplied by 2, you will get the ratio 8:12

4:6 multiplied by 3, you will get the ratio 12:18

Answer: 2:3 6:9 8:12 10:15 12:18 14:21

Step-by-step explanation: There are infinitely more answers to find out more take a even while number and set it like this (for example) 6:6 now add to the right side until you get half of the left side added to itself for example half of 6 is 3 and 3 + 6 is 9 so an answer would be 6:9

3 minutes is not a measure of distance, it is a measure of time.

Time is a measure of duration, not of distance. Distance is measured in kilometers and is the physical length between two points. Time is measured in seconds, minutes, hours, days, and so on. It is the measure of the amount of time that passes between two events. For example, 3 minutes is the amount of time that passes between two events, but it does not represent a measure of distance. Distance is best measured in terms of kilometers, meters, or other such units. Time is best measured in terms of seconds, minutes, hours, days, or other such units. Therefore, 3 minutes is not a measure of distance; rather, it is a measure of time

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An expression to represent Will's volunteer hours in April is 3+x hours.  An expression to represent Hector's volunteer hours in April is 3+x hours.

yes,Will and Hector volunteer the same number of hours in April.

a) The formula is: Will's volunteer hours in April = Will's hours in March + Lydia's hours in March = 3 + x.

b) We know that Lydia's March hours were ((5-2)+x=3+x) hours, hence Hector's April volunteer hours were 2 hours less than his March hours.

c) We know that Will volunteered for 3+x hours in April.

Hector volunteered for 3+x hours in April.

We can infer that Will and Hector both volunteered the same number of hours in April because both expressions are the same.

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Answer:

Step-by-step explanation:

If L is perpendicular to the line y = -2x, then the slope of L is the negative reciprocal of -2. So the slope of L is 1/2.

Now we know that the line L goes through the point (3,-6), so we can use the point-slope form of a linear equation to find the equation of L.

The point-slope form of a linear equation is: y - y1 = m(x - x1)

where (x1, y1) is a point on the line, and m is the slope of the line.

Here, (x1, y1) = (3, -6) and the slope of the line is m = 1/2, so the equation is:

y - (-6) = (1/2)(x - 3)

Simplifying this gives us the final equation of the line L:

y = (1/2)x - 3

Please note that this is one of the possible solutions and it depends on the problem or context if this is the correct one.

The system of equations models this if Batman completed obstacles and Superman completed obstacles are b + s = 24 and 4s = 20.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Batman completed 4 more than three times the number of obstacles that Superman completed.

let, The number of obstacles completed by superman is 's'.

Therefore, b = 3s + 4, and b + s = 24.

b + s = 24.

3s + 4 + s = 24.

4s = 20.

So, The expression models this if Batman completed obstacles and Superman completed obstacles are,

b + s = 24 and 4s = 20.

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The substitution method and elimination method are two ways to solve systems of linear equations.

The steps for the substitution method are:

Solve one of the equations for one of the variables in terms of the other.

Substitute this expression into the other equation.

Solve the resulting equation for the remaining variable.

Substitute this value back into one of the original equations to find the value of the other variable.

Check your solution by plugging the values of both variables back into the original equations and verifying that they are true.

The steps for the elimination method are:

Multiply one or both of the equations by a constant to make the coefficients of one of the variables the same in both equations.

Add or subtract the equations to eliminate one of the variables.

Solve the resulting equation for the remaining variable.

Substitute this value back into one of the original equations to find the value of the other variable.

Check your solution by plugging the values of both variables back into the original equations and verifying that they are true.

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Answer: if the boat costs 12,500 and raises by 7 percent a year.

Step-by-step explanation:

7 percent of 12,500 is 875 and if it kept raising for 18 years we would multiply 875 X 18 which equals 15750 and then we would add the original which would give us 28250$

so the answer is 28250$

The exression is 1/2p - 20 and Irene scored 90 points.

Let's assume that Irene scored p points.

Then, Edwin's score would be 20 points less than half of Irene's score: (1/2)*p - 20.

b) If Edwin scored 25 points,

We can substitute this into the expression from part a to find the value of p: (1/2)*p - 20 = 25.

Solving for p, we have p = 90.

So, Irene scored 90 points.

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Answer: (x - 10)^2 is the equation

So, yes, the triangle is a right angled triangle.

A triangle is a right angled triangle if and only if the length of one side (the hypotenuse) is equal to the square root of the sum of the squares of the other two sides (the legs). This relationship is known as the Pythagorean theorem. The theorem states that in a right angled triangle, the hypotenuse (c) is equal to the square root of the sum of the squares of the legs (a and b).

In this case, the sides of the triangle are 15 cm, 36 cm and 39 cm. To determine if this is a right angled triangle, we must check if the length of the hypotenuse (39 cm) is equal to the square root of the sum of the squares of the other two sides (15 cm and 36 cm).

To check this we use the Pythagorean theorem:

c^2 = a^2 + b^2

so in this case:

39^2 = 15^2 + 36^2

This simplifies to:

1521 = 225 + 1296

Which is true, so the triangle is a right angled triangle

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The derivative of log x is 1/x because log x represents the inverse operation of taking the exponential of x, and the derivative of the exponential function is 1/x.

1. Take the natural log of both sides (ln):

ln(x) = log x

2. Take the derivative of both sides with respect to x:

d/dx ln(x) = d/dx log x

3. Use the chain rule and the derivative of the natural log function (1/x):

d/dx ln(x) = (1/x) * d/dx x

4. Simplify:

d/dx ln(x) = (1/x) * (1)

5. Final answer:

d/dx ln(x) = 1/x

The derivative of log x is 1/x because it is the inverse operation of taking the exponential of x, and the derivative of the exponential function is 1/x. The chain rule is used to take the derivative of both sides, which results in a final answer of 1/x.

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The correct estimation with the missing values are,

⇒ 47 × 116 ≈ 50 × 100

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

⇒ 47 × 116

Now, We an estimate the values as;

⇒ 47 ≈ 50

⇒ 116 ≈ 100

Thus, We get;

⇒ 47 × 116 ≈ 50 × 100

                = 5,000

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Transforming the quantity of the third root of x to the fourth power, to the fifth power into an expression with a rational exponent is; x^(20/3)

We are given an algebraic quantity as:

third root of x to the fourth power, to the fifth power

We want to transform that into an expression with a rational exponent.

Converting the given algebraic quantity is;

(∛x⁴)⁵

This expression could also be written as:

[x^(4/3)]⁵

By the power rule of exponents, we can expand it to get;

x^(4/3 * 5)

= x^(20/3)

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Height (h) is the dependent variable and minutes (m) is the independent variable in the equation h=60-4m.

In algebra, a symbol (usually a letter) used to indicate an unknown numerical value in an equation or algebraic statement. A variable is a quantity that is changeable rather than fixed. In mathematics, a variable is an alphabet or phrase that represents an unknown amount, unknown value, or unknown number. Variables are very useful in algebraic expressions or algebra. As an example, the variables x and 9 are constants in the linear equation x+9=4.

Here,

m- minutes is the independent variable

h- height is the dependent variable

The dependent variable is height h and independent variable is minutes m as the equation is h=60–4m.

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This is an example of Stratified Random Sampling.

Stratified random sampling is a method of sampling where the population is divided into subgroups or strata based on certain characteristics and then a random sample is selected from each subgroup.

In this case, the population of grocery shoppers in major cities in the United States is divided into subgroups based on the five metro areas where Kroger has seen the biggest growth: Phoenix, Detroit, Los Angeles, Atlanta, and Dallas-Fort Worth.

Then, every person 23 years of age or older in those cities are selected to participate in the survey, ensuring that the sample is representative of the population in those specific areas.

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Product of (x+3)(x-4) is x² - x - 12.  

The process of multiplying two or more polynomials with others is known as polynomial multiplication.

To obtain the final polynomial, the terms of the first and second polynomials are multiplied.

We can multiply polynomials in a variety of ways depending on the kinds we are using.

Here we have

Multiply: (x+3)(x-4)  

=> x(x) + x(-4) + 3(x) + 3(-4)

=> x² - 4x + 3x - 12

=> x² - x - 12  

Therefore,

Product of (x+3)(x-4) is x² - x - 12.  

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The statements that are true based on the graph of the function f(x) = -2^(-x - 3) + 4 include the following: D. I, II, and III.

Mathematically, an exponential function can be modeled by using this equation:

f(x) = ab^x

Where:

Generally speaking, the graph of an exponential function shows growth when b > 1 while the graph of an exponential function shows decay when 0 < b < 1. Therefore, the function f(x) = -2^(-x - 3) + 4 is an example of exponential decay.

For the x-intercept, we have;

f(x) = -2^(-x - 3) + 4

0 = -2^(x - 3) + 4

0 = -2^(x - 3) + 4

-4 = (x - 3)/2

-8 = x - 3

x = -8 + 3

x = -5.

Therefore, the x-intercept of this exponential function is (-5, 0).

In conclusion, as the input value (x) of this exponential function tends toward infinity (∞), the output value tends toward four (4) i.e x → ∞, f (x) → 4.

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Complete Question:

Which of the following statements is/are true based on the graph of the function f (x) = –2^(–x – 3) + 4?

I. As x → ∞, f (x) → 4.

II. The x-intercept is (–5, 0).

III. The function is an example of exponential decay.

I only

I and II only

I and III only

I, II, and III

The value of the angle m∠ KJL  in the triangle is 68 degrees.

The angle m∠ KJL can be found using triangle exterior angle theorem. The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

Therefore, the angle can be found as follows:

∠JLM = 141 degrees

∠JKL = 73 degrees

Hence,

∠JLM = ∠ KJL + ∠JKL

∠ KJL = 141 - 73

∠ KJL = 68 degrees

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There are 15 * 15 * 10 = 225 possible combinations that could be Lark's locker combination.

There are 15 odd numbers (1, 3, 5, ..., 29), 15 even numbers (2, 4, 6, ..., 30), and 10 multiples of 3 (3, 6, 9, ..., 30) that can be used as the first, second, and third number in the combination, respectively. Therefore, there are 15 * 15 * 10 = 225 possible combinations that could be Lark's locker combination.

The method we used is called the counting principle, which is a way to find the total number of outcomes in a scenario where multiple events are happening at the same time. In this case, we have three independent events: selecting the first number, selecting the second number, and selecting the third number. Each event has a limited set of possible outcomes (odd numbers for the first, even numbers for the second, and multiples of 3 for the third), and we want to find the total number of possible combinations. To do this, we multiply the number of possible outcomes for each event together. In this way, we find that there are 15 x 15 x 10 = 225 possible combinations.

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