The price of a house is originally listed at $110,000. The owners are having a hard time selling it and decide to reduce the price to $101,200. What is the percentage decrease of the price of the house?

Door to door sampling is used when it is important to control where the sample is delivered and when the products are of a perishable nature.

The term sampling  selecting refers to the selection of a small proportion of the population extrapolating the results the results obtained from this small group to represent the characteristics of the entire population. This sample is chose in a manner as to reflect the properties the generality of the population.

Hence, door to door sampling is used when it is important to control where the sample is delivered and when the products are of a perishable nature.

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Answer: 49.27

Step-by-step explanation:

By the segment addition postulate,

\(4x+6+7x+15=140\\\\11x+21=140\\\\11x=119\\\\x=\frac{119}{11}\)

This means that \(JK=4(119/11)+6 \approx 49.27\)

Answer:

Above is the answer, coupled with detailed step-by-step explanations. Thank you!

Vertically compressing the exponential parent function f(x) = 2^x by a factor of 3 means multiplying every function value by 1/3, resulting in a steeper and narrower curve closer to the x-axis.

If we vertically compress the exponential parent function f(x) = 2^x by a factor of 3, it means that every point on the graph of the function will be compressed closer to the x-axis. In other words, the function values will be multiplied by 1/3.

Let's consider a point on the original exponential function, (x, f(x)). After the vertical compression, this point will have the coordinates (x, (1/3)f(x)). For example, if f(x) = 8 for some x, after compression, the corresponding point will be (x, (1/3)(8)) = (x, 8/3).

This vertical compression affects all points on the graph uniformly, resulting in a steeper and narrower curve compared to the original exponential function.

The y-values of the compressed function will be one-third of the y-values of the original function for each x-value. Therefore, the graph will be squeezed vertically, with the y-values closer to the x-axis.

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Step-by-step explanation:

We can find the other point using the axis of symmetry.

The axis of symmetry for a parabola passes through the x coordinate of the vertex.

So our axis of symmetry is x=4, which is a vertical line.

For any point on a parabola curve except the vertex, there will two points that share the same y value. The two x coordinates of those points midpoints should be the axis of symmetry.

So,

If we know (0,-6) and the vertex is 4, let's find the other point

\(( \frac{0 + b}{2} = 4\)

\(b = 8\)

So our other point is

(8,-6).

So the answer to #1 is we found point (8,-6) by using the axis of symmetry. By reflecting the point (0,-6) about the vertical line x=4, we end up getting the point (8,-6)

To find q, q(x) has the same vertex, so it is (4,10).

We know the axis of symmetry is x=4, we also know the y intercept is 18 so we have point (0,18)

Using the axis of symmetry we will get (8,18).

So the graphs above are the graphs of p and q

The graph facing upwards is q

The graph facing downwards is p.

For #2, you can say we know the vertex is (4,10) and using the y intercept and axis of symmetry we found the other point on the curve.

I don't fully see the table but if the other coordinates have a higher y value, the vertex is a minimum.

Else, of the other coordinates have a lower y value, the vertex is a maximum.

a. The events are dependent because the outcome of one cube affects the outcome of the other cube.

b. The probability of rolling an even number on the white cube and a sum of 8 is 3/36, or 1/12.

a. The outcomes of one cube influence the outcomes of the other cube, hence the events are interdependent.

There are just a few conceivable results for the black cube if the white cube displays an even number: 2 and 6, 3 and 5, or 4 and 4.

As a result, there are fewer outcomes that could happen, making the events dependent.

b. A sum of 8 and an even number on the white cube have a probability of 1/12, or 3/36.

This is due to the fact that there are three possible outcomes when rolling an 8 with an even and an odd number (2-6, 3-5, or 4-4).

Three of the 36 potential outcomes meet the requirements. The likelihood is therefore 3/36.

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Answer:

y=1/2x +2

Step-by-step explanation:

1/2 is the slope, 2 is the y intercept.

To assist Roman in dealing with his frustration and politely interrupt Mr. Adamson to focus on the main business, Roman can try the following steps:

1. Find a polite opening: Roman can wait for a pause in the conversation or a natural transition to interject and bring up the main business.
2. Use a transition statement: Roman can politely transition the conversation by saying something like, "I appreciate the opportunity for small talk, Mr. Adamson. However, I believe it's important for us to discuss the confidential matters we planned to address in this meeting."
3. Remind of the purpose: Roman can then remind Mr. Adamson of the purpose of their meeting and express the urgency by saying something like, "We have some pressing matters to discuss that require our immediate attention. It would be greatly appreciated if we could shift our focus to those topics."
4. Maintain a professional tone: Throughout the conversation, Roman should maintain a professional and respectful tone to ensure a constructive discussion.


1. Find a polite opening: It is important for Roman to find an appropriate moment to interject and redirect the conversation towards the main business. This could be when Mr. Adamson takes a pause or when there is a natural transition point in the conversation.

2. Use a transition statement: Roman can use a polite transition statement to acknowledge the small talk and then redirect the conversation towards the main business. By appreciating the small talk and politely mentioning the need to discuss the confidential matters, Roman sets the stage for the transition.

3. Remind of the purpose: After the transition statement, Roman should remind Mr. Adamson of the purpose of their meeting. This helps bring the focus back to the main business and emphasizes the importance of addressing the pressing matters they had planned to discuss.

4. Maintain a professional tone: Throughout the conversation, Roman should maintain a professional and respectful tone. This helps ensure that the conversation remains constructive and that the main business is addressed without offending Mr. Adamson or the other individuals present in the room. It is essential to be assertive but not aggressive in the approach to maintain a positive working relationship.

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Answer:

4/10 = m

Step-by-step explanation:

\(y_{2}\) - \(y_{1}\) / \(x_{2}\) - \(x_{1}\)

Point 1: (-2, 6) or ( \(x_{1}\), \(y_{1}\))

Point 2: (-12, 2) or (\(x_{2}\), \(y_{2}\))

2 - 6 / -12 - (-2)

-4 / -10

4/10 = m

The postfix expression of "7+5-3*2(6*7)/4" is "7 5 + 3 2 * 6 7 * 2 * - 4 /". Evaluating the postfix expression gives the result of the expression. The prefix expression for the given infix expression is "/ - + 7 5 * 3 * 2 ( * 6 7 ) 4".

To convert the infix expression "7+5-3*2(6*7)/4" into postfix expression, we follow the rules of operator precedence and associativity. The postfix expression is obtained by placing operators after their operands.

The postfix expression for the given infix expression is:

"7 5 + 3 2 * 6 7 * 2 * - 4 /"

To evaluate the postfix expression, we use a stack data structure. We scan the postfix expression from left to right and perform the corresponding operations.

Starting with an empty stack, we encounter the operands "7" and "5". We push them onto the stack. Then we encounter the operator "+", so we pop the last two operands from the stack (5 and 7), perform the addition operation (7 + 5 = 12), and push the result back onto the stack.

We continue this process for the remaining operators and operands in the postfix expression. Finally, after evaluating the entire expression, the result left on the stack is the final answer.

To convert the infix expression into prefix expression, we follow similar rules but scan the expression from right to left. The prefix expression is obtained by placing operators before their operands.

The prefix expression for the given infix expression is:

"/ - + 7 5 * 3 * 2 ( * 6 7 ) 4"

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Answer:

11m+5n

Step-by-step explanation:

you just add the m and or n with the numbers

A) The measure of central tendency that best describes the data for time spent on the internet (min/day) is the median.

The median is the middle value in a set of data when the data is arranged in numerical order. In this case, the data arranged in numerical order is 38, 43, 48, 52, 65, 75, 120. The median value is 52, which is the middle value in the data set.

B) The measure of central tendency that best describes the data for the weight of books (oz) is the mode. The mode is the value that occurs most frequently in a data set. In this case, the data is 12, 10, 9, 15, 16, 10. The mode is 10, as it occurs twice in the data set and is the most frequent value.

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The slope-intercept formula is one of the formulas used to determine a line's equation. Y = mx + b is the slope-intercept formula for a line with slope m and y-intercept b. Any point on the line is (x, y) in this case.

Using a straight line's slope and the location of its y-axis intersection, the slope intercept equation can be used to determine the general equation of the line. Y = mx + b is the equation in slope intercept form.

One of the formulas used to get a line's equation is the slope-intercept formula. Y = mx + b is the slope-intercept formula for a line with slope m and y-intercept b. Any point on the line is (x, y) in this case.

The variables we'll use in our function will be as follows:

m = slope, and b = y-intercept.

It is written as y = mx + b. The m and b variables are changed to numbers, while the x and y variables stay as letters (for example, y = 2x + 4, slope = 2, and y-intercept = 4).

The slope and intercept from an equation are used in the following video through a few examples.

y = mx + b

The slope and intercept are the two integers that make up this equation, which is why it is known as the slope-intercept form.

Remember, the slope (m) is the amount being multiplied to x and the intercept (b) is the number being added or subtracted

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Answer:

1 gallon and 1 pint

Step-by-step explanation:

I guess that the actual amount of water needed per player is 1/8 of gallon and not 18 gallons.

You will need to bring 9 x 1/8 = 9/8 = 1 ¹/₈ gallons or 1 gallon and 1 pint

1 gallon = 4 quarts = 8 pints = 16 cups = 128 ounces

or

1 gallon = 3.785 liters

The US is one of the few countries (along with Liberia, and Myanmar) that still uses the imperial system to measure things, e.g. inches, feet, yards, pounds, miles, pints, gallons, etc. The rest of the world uses the metric system, e.g. meters, liters, kilograms, etc.

Answer:

1 1/8

Step-by-step explanation:

i did it on edge

Answer:

To find the value of a4, we need to use the recursive formula for the sequence. The formula gives us the nth term in the sequence in terms of the (n-1)th term.

We are given that a1 = -7, so we can use the recursive formula to find a2, a3, and a4:

a2 = a1 - 4 = -7 - 4 = -11

a3 = a2 - 4 = -11 - 4 = -15

a4 = a3 - 4 = -15 - 4 = -19

Therefore, the value of a4 is -19.

Answer:

explain whtlat?

Step-by-step explanation:

comment what i could do for u.

The flux of the vector field F = 2xi - 3yj across the semi-circle r(t) = (cost)i + (sint)j can be calculated using the line integral formula. The resulting flux value will depend on the limits of integration and can be found using trigonometric identities.

To find the flux of the vector field F across the given semi-circle, we first need to parameterize the curve. The given semi-circle can be parameterized as r(t) = (cost)i + (sint)j, where 0 <= t <= pi. We then use the line integral formula to calculate the flux:

flux = ∫ F · dr

where F is the given vector field and dr is the differential displacement vector along the curve.

Substituting the values of F and r(t), we get:

flux = ∫ (2x)i - (3y)j · (- sint)i + (cost)j dt

= ∫ -2sintcost + 3sint^2 dt

Using the identity sin2θ = 2sinθcosθ, we can simplify the integrand to:

flux = ∫ \((3/2)(1 - cos2t)\) dt

= [ \((3/2)t - (3/4)sin2t\) ] from 0 to pi

Evaluating the integral with the limits of integration, we get the final result:

flux = \(3pi/2\)

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If it has a 15% yearly interest rate and the interest is compounded monthly and the card has $0 minimum payments for the first four years it is active. Therefore, Emma will owe approximately $529.27 in four years.

To calculate how much Emma will owe in four years, we need to use the compound interest formula: A = P (1 + r/n)^(n*t)

where:

A = the amount of money at the end of the investment period

P = the principal amount (the initial amount of money borrowed)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the time period in years

In this case, the principal amount is $300, the annual interest rate is 15%, and the interest is compounded monthly (so n = 12). The time period is four years.

Plugging in the values, we get:

A = 300(1 + 0.15/12)^(12*4)

A ≈ $529.27

Therefore, Emma will owe approximately $529.27 in four years if she doesn't pay off her credit card until after college.

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The sets in which the number 6/7 is an element are: A. real numbers, D. rational numbers, and F. integers.

To determine which sets contain the number 6/7 as an element, we need to understand the definitions of the sets and their characteristics.

A. Real numbers: The set of real numbers includes all rational and irrational numbers. Since 6/7 is a rational number (it can be expressed as a fraction), it is an element of the set of real numbers.

B. Whole numbers: The set of whole numbers consists of non-negative integers (0, 1, 2, 3, ...). Since 6/7 is not an integer, it is not an element of the set of whole numbers.

C. Natural numbers: The set of natural numbers consists of positive integers (1, 2, 3, ...). Since 6/7 is not an integer, it is not an element of the set of natural numbers.

D. Rational numbers: The set of rational numbers consists of all numbers that can be expressed as fractions of integers. Since 6/7 is a rational number, it is an element of the set of rational numbers.

E. Irrational numbers: The set of irrational numbers consists of numbers that cannot be expressed as fractions and have non-repeating, non-terminating decimal representations. Since 6/7 can be expressed as a fraction, it is not an element of the set of irrational numbers.

F. Integers: The set of integers consists of positive and negative whole numbers (..., -3, -2, -1, 0, 1, 2, 3, ...). Since 6/7 is not an integer, it is not an element of the set of integers.

Therefore, the sets in which the number 6/7 is an element are: A. real numbers, D. rational numbers, and F. integers.

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Answer:

D. 400

Step-by-step explanation:

240:60%=x:100%

60x=240×100

60x=24 000

x=24 000:60

x=400

Answer: the answer to this is true

chance of 3 is 1/6 and chance of 2 is 1/6 so finale answer is 1/36

The coefficient and constant in the system of linear equations are identified below

The system of linear equations is the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1.

In this question, we are given two equations to define the variables.

3x + 7y = 18 ...eq(i)

2x - 4y = 9 ..eq(ii)

In the equations above;

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Answer:

35.25, because 15% of 235 is 35.25, if you need more explanation just ask

Step-by-step explanation:

The amount of alcohol remaining after 4 hours would be approximately 64 mg/dL.

We can use the formula for exponential decay to model the amount of alcohol remaining in the blood after t hours:

\(Q(t) = Q_o* e^{(-kt)\)

where Q₀ is the initial amount of alcohol in the blood, k is the decay constant, and t is the time elapsed.

We know that Q₀ = 200 mg/dL, and Q(2) = 128 mg/dL. We can use this information to solve for k:

\(128 = 200 * e^{(-k*2)\)

\(e^{(2k)} = 200/128\)

2k ≈ ln(1.5625)

k ≈ -0.345

Now we can use this value of k to find Q(4):

\(Q(4) = 200 * e^{(-0.345*4)\)

Q(4) ≈ 64

Therefore, the amount of alcohol is 64 mg/dL.

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The variable "height" of a player on a basketball team is continuous. The variable "number of goals scored" in a soccer game is discrete. The variable "speed" of a car on a Los Angeles freeway during rush hour traffic is continuous.

The variable "age" of the oldest student in a statistics class is discrete. The variable "number of pills" in a container of vitamins is discrete.

1. The height of a player on a basketball team: Continuous variable, as height can be measured with infinite precision.

2. The number of goals scored in a soccer game: Discrete variable, as goals are counted in whole numbers.

3. The speed of a car on a Los Angeles freeway during rush hour traffic: Continuous variable, as speed can be measured with infinite precision.

4. The age of the oldest student in a statistics class: Continuous variable, as age can be measured with infinite precision (e.g., years, months, days, etc.).

5. The number of pills in a container of vitamins: Discrete variable, as pills are counted in whole numbers.

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Step-by-step explanation:

Turn 4 into 4/1. Then switch 4/1 or 16/17 because I don't know which to switch. If you don't know what I'm talking about, when you switch 4/1 or 16/17, you'll get 1/4 or 17/16. Then you multiply 1/4 × 16/17 or 4/1 × 17/16. You multiply across, like this, 1 × 16 and 4× 17 Same thing with 4/1 × 17/16 but backwards (4×17 and 1×16). Do both equation (4/1 × 17/16 and 1/4 × 16/17) by yourself, then simplest it. Example: 2/4 = 1/2. You divide 2/4 by two, 2÷2 for the numerator and 4÷2 for the denominator. That how you simply.

Answer:

x+8z-9y-ty

2x+5z-9y + x-8z+9y+ty

=3x+ty-3z