Lisa’s home is currently worth $150,000. When she purchased it five years ago, it was worth $180,000. Find the percent of change and classify as a percent increase or decrease. Round to the nearest tenth of a percent if necessary.

Answer:

5 cm

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

v = -3, w = -4,

vw + w,

Subsitute in (-3) for (v), and (-4) for (w).

(-3)(-4) + (-4)

Simplfiy,

12 + (-4)

12 - 4

8

Based on the given options, both 3,4,5,6 and 3,4,5,6i could be the complete list of roots for a fourth-degree polynomial. So option 1 and 2 are correct answer.

A fourth-degree polynomial function can have up to four distinct roots. The given options are:

Therefore, both options 1 and 2 could be the complete list of roots for a fourth-degree polynomial.

The question should be:

The polynomial function f(x) is a fourth degree polynomial. Which of the following could be the complete list of the roots of f(x)

1. 3,4,5,6

2. 3,4,5,6i

3. 3,4,4+i\(\sqrt{6}\)

4. 3,4,5+i, 5+i, -5+i

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Discouraging consumers from purchasing products from an insurer is referred to as "consumer dissuasion." It involves implementing strategies or tactics to dissuade potential customers from choosing a particular insurance company or its products.

Consumer dissuasion is a practice employed by insurers to discourage consumers from selecting their products or services. This strategy is often used to manage risk by discouraging individuals or groups that insurers perceive as having a higher likelihood of filing claims or incurring higher costs. Insurers may employ various techniques to dissuade potential customers, such as setting higher premiums, imposing strict eligibility criteria, or offering limited coverage options. The purpose of consumer dissuasion is to selectively attract customers who are deemed less risky or more profitable for the insurer, thereby ensuring a healthier portfolio and reducing potential losses. By implementing strategies that discourage certain segments of the market, insurers can manage their risk exposure and maintain profitability. It is important to note that consumer dissuasion practices should adhere to applicable laws and regulations governing the insurance industry, including fair and transparent practices. Insurers are expected to provide clear and accurate information to consumers, enabling them to make informed decisions about insurance coverage and products.

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To solve this problem, we need to use some trigonometry. We can use the tangent function to find the length of the magma below sea level.

Let's define the following variables:

• x: the length of magma below sea level (what we want to find)

• y: the total length of magma (which we don't know)

• θ: the angle of elevation, which is 40°

We can set up a right triangle with the hypotenuse representing the total length of magma (y), the opposite side representing the length of magma below sea level (x), and the adjacent side representing the distance from the volcano to the point where the magma rises above sea level (which we don't need to calculate).

Using the tangent function, we can write:

tan(θ) = x / y

Rearranging this equation, we get:

x = y * tan(θ)

Now we just need to plug in the values we know:

• θ = 40°

• y = 15 kilometers (since the magma reservoir is located 15 kilometers beneath the Chijiwa Bay)

Using a calculator, we can evaluate tan(40°) to be approximately 0.8391.

Plugging in these values, we get:

X = 15km*0.8391, X = 12.5865km

Therefore, the length of magma below sea level is approximately 12.5865 kilometers



Answer: they didn’t give you any numbers ?

Step-by-step explanation:

It will take Paris two hours to catch up with Helen.

Suppose Paris catches up with Helen after x hours, and in that time Paris travels d kilometers. Then, since Helen has a 4-km head start, Helen travels d + 4 kilometers in x hours. We can write a distance formula for each person as follows:

Distance covered by Helen = 6x + 4 (since Helen is traveling at 6 kph)

Distance covered by Paris = 8x (since Paris is traveling at 8 kph)

Since they will be at the same distance when Paris catches Helen, we can set both these equations equal. Solving for x, we get:

6x + 4 = 8x

2x = 4

x = 2

We can also verify our answer by finding the distance they each travel over the two hours. Since Paris is traveling at 8 kph for two hours, he will travel a distance of 16 km. Since Helen has a 4-km head start and is traveling at 6 kph for two hours, she will travel a distance of (6 x 2) + 4 = 16 km. This confirms that Paris has caught up with Helen after two hours.

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The ratio of false positives to true positives is 8 over 54.

According to the Question

Results of a strep throat test performed on a sample of 400 ill people are displayed in the table's data. People who have the flu and those who don't are separated into two categories. The patients are then separated into groups based on whether they tested positive or negative for strep throat within each of these categories.

We must first define what a true positive and a false positive are in order to calculate the ratio of false positives to true positives. A patient who tests positive for strep throat but does not actually have the illness is said to have a false positive. The 8% of patients in this instance who tested positive for strep throat but did not have the flu would fall under that category. A patient who tests positive for strep throat and truly has the illness is said to have a true positive. That would be the 54% of patients who tested positive for both the flu and strep throat in this instance.

We divide the percentage of false positives (8%) by the percentage of true positives (54%), which gives us the ratio of false positives to true positives.

As a result, the ratio becomes 8% / 54%, or 8/54.

It's critical to remember that this ratio is dependent on the sample and test performed and may not be the same for different populations or testing methodologies.

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Answer:

4 ; Initial value is (- 1)

Step-by-step explanation:

The rate of change of a linear function is slope of the line.

m = \(\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)

(0, - 1)

(1, 3)

m = \(\frac{-1-3}{0-1}\) = 4

Initial value is - 1

y = 4x - 1

The equation of the graph is y = 4x - 1 with a rate of change of 4. The initial value of the function is y = -1.

The rate of change is the change of a quantity over 1 unit of another quantity.

Most of the time the rate of change is the change with respect to time.

As per the given graph,

The rate of change or slope of a function is the ratio of the difference of y's and x's coordinates.

Therefore, let's consider two points (0,-1) and  (1,3)

Slope = (3 - (-1))/(1 - 0)

Slope = 4

The y-intercept is -1 so the equation will be y = 4x - 1.

The initial value of function at x = 0 is y = 4(0) - 1 = -1.

Hence "The equation of the graph is y = 4x - 1 with a rate of change of 4. The initial value of the function is y = -1".

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Answer:

4 5/6

Step-by-step explanation:

3 2/6 plus 1 3/6

3 + 1 = 4

2/6 + 3/6 = 5/6

4 + 5/6 = 4 5/6

Answer:

4 5/6

Step-by-step explanation:

you start with the whole numbers, and 3+1 is 4 so we know that we need to add 4 to the sum of the fractions. next we need to add 2/6 and 3/6, to do that we just add the numeraters and we get 5 so it's 5/6. lastly we need to add the two numbers together and because we didn't get an improper fraction the answer is 4 5/6.

Answer:

46, 47, 48, or 49

Step-by-step explanation:

In a pizza takeout restaurant, the random variable x represents the number of toppings for a large pizza. The following probability distribution was obtained: Probability distribution:
x: 0 1 2 3 4 5 6
P(x): 0.05 0.10 0.15 0.20 0.25 0.15 0.10The mean of the distribution is given by;μ = ∑xP(x) ………… (1)where;μ = mean or expected value of the distribution.x = each of the possible values of x.P(x) = corresponding probability associated with each value of x.Substitute the values in equation (1);μ = 0(0.05) + 1(0.10) + 2(0.15) + 3(0.20) + 4(0.25) + 5(0.15) + 6(0.10)μ = 0 + 0.1 + 0.3 + 0.6 + 1 + 0.75 + 0.6μ = 3.35

The mean number of toppings for a large pizza is 3.35.The variance of the distribution is given by;σ2 = ∑(x - μ)2P(x) ………..(2)where;σ2 = variance of the distribution.μ = mean or expected value of the distribution.x = each of the possible values of x.P(x) = corresponding probability associated with each value of x.Substitute the values in equation (2);σ2 = [0 - 3.35]2(0.05) + [1 - 3.35]2(0.10) + [2 - 3.35]2(0.15) + [3 - 3.35]2(0.20) + [4 - 3.35]2(0.25) + [5 - 3.35]2(0.15) + [6 - 3.35]2(0.10)σ2 = 11.2Standard deviation (σ) = sqrt(σ2)Substitute the value of σ2 into the formula above;σ = sqrt(11.2)σ = 3.35The standard deviation of the distribution is 3.35.What is the meaning of standard deviation?Standard deviation is a measure of the dispersion of a set of data from its mean. The more the spread of data, the greater the deviation of data points from their mean.

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In a pizza takeout restaurant, the following probability distribution was obtained. The random variable x represents the number of toppings for a large pizza. Find the mean and standard deviation.

Solution:The probability distribution is not given in the problem statement. Without the probability distribution, we cannot calculate the mean or the standard deviation of the probability distribution.

Example of how to calculate the mean and standard deviation of a probability distribution:Suppose that the following probability distribution is given.The random variable x represents the number of times an individual will blink their eyes in a 20-second period.x 1 2 3 4P(x) 0.1 0.4 0.3 0.2

The mean is given by the formula μx= ΣxP(x).

Therefore, μx = (1 × 0.1) + (2 × 0.4) + (3 × 0.3) + (4 × 0.2) = 0.1 + 0.8 + 0.9 + 0.8 = 2.6.To calculate the variance, we use the formula: σx² = Σ(x-μx)²P(x).

Hence, σx² = (1 - 2.6)²(0.1) + (2 - 2.6)²(0.4) + (3 - 2.6)²(0.3) + (4 - 2.6)²(0.2) = 1.56. Therefore, σx = √1.56 = 1.25.

The mean and standard deviation of the probability distribution are 2.6 and 1.25, respectively.

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The equation for the line of symmetry for the quadratic function

[f(x) = (14+6x-3x²)] will be (x = 1).

As per the question statement, we are provided with a quadratic function [f(x) = (14+6x-3x²)].

We are required to determine the line of symmetry for the above-mentioned quadratic function.

To solve this question, we need to know about the relation between a standard quadratic equation of parabola and it's line or axis of symmetry.

The Standard quadratic equation of a parabola goes as \([y=f(x)=(ax^{2} +bx+c)]\) and axis of symmetry is \((x=\frac{-b}{2a})\).

Here, we will have to compare our question mentioned quadratic function with the above-mentioned standard quadratic form of parabola, and identify the "a" and "b" values, and then use these values in the form of above-mentioned axis of symmetry, to obtain our desired a answer.

Comparing \((14+6x-3x^{2} )\) and \((ax^{2} +bx+c)\), we can identify [a = -(3)] and (b = 6). Therefore, axis of symmetry for the quadratic function

[f(x) = (14+6x-3x²)] will be

\([x=\frac{-6}{2*(-3)}]\\or,[x=\frac{-6}{-6}]\\ or,(x=1)\)

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An equation that has one solution for y for each value of x is referred to be a function. A function pairs each input of a particular type with exactly one output.

The subject of mathematics includes quantities and their variations, equations and related structures, forms and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A relationship between inputs and outputs in which each input leads to a single, distinct result is known as a function.  Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, within functions, and on functions.

given

An equation that has one solution for y for each value of x is referred to be a function.

A function pairs each input of a particular type with exactly one output. Instead of y, it is typical to name functions f(x) or g(x). f(2) instructs us to calculate the value of our function when x is equal to 2.

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Answer:

Step-by-step explanation:

I don’t know why they bother teaching recursive formulas as the explicit is almost always used :)

For 2,9,16,23...

Recursive is a(n+1)=an+7

Explicit is an=2+7(n-1)

(or more neatly an=7n-5)

For 2,14,98,686...

Recursive is a(n+1)=7an

Explicit is an=2(7^(n-1))

(or (2/7)7^n )

There are 16 people who share the worm.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

In this illustration, Vince brought 6 boxes of worms to use as bait while fishing with his friends if each person uses exactly 3 8ths of a box of worms

The number of people who shared the works will be:

= Number of worms / Amount collected by each person

= 6 ÷ 3/8

= 6 × 8/3

= 16

In conclusion, 16 people shared it.

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Answer:

26

Step-by-step explanation:m a t h w a y

Answer:

26

Step-by-step explanation:

Answer:$2.60

Step-by-step explanation:40*0.065

Answer:42.06

Step-by-step explanation:

Answer:

The derivative of the function f(x) = -5x+3x is ---->  -2

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Sean and Greg share a 24-ounce bucket of clay

Sean uses 3/8 of the bucket

= 3/8 ×24

= 9 ounce

Greg uses 1/4 if the bucket

= 1/4 ×24

= 6 ounce

= 9+6

= 15 ounce

Therefore the quantity left in the bucket can be calculated as follows

= 24-15

= 9

Hence 9 ounces are left in the bucket

Step-by-step explanation:

here's the answer to your question

Rectangle ABCD was translated 8 units left and then 7 units down.

We can see vertex A(2,4) of rectangle ABCD moves to A"(-6,-3), in a way that A translated 8 units left (-8)and 7 units down(-7) to A".

A plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square.

Vertex is a point on a polygon where the sides or edges of the object meet or where two rays or line segments meet. The plural of a vertex is vertices.

A line segment is a part of a straight line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints. The length of a line segment is given by the Euclidean distance between its endpoints.

that is (2-8,4-7)=(-6,-3)

Similarly the other vertices of rectangle ABCD moves to form rectangle A"B"C"D"

B (2,2) → B" (-6,-5)

C (6,2) → C" (-2,-5)

D(6,4) → D" (-2,-3)

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In this scenario, where X and Y are independent and identically distributed random variables with a probability mass function (PMF) of P(k) = 2^(-k), where k ∈ N₀, we need to compute three probabilities:

(a) P(min(X, Y) ≤ n) = 1 - P(X > n)P(Y > n) = 1 - (1 - P(X ≤ n))(1 - P(Y ≤ n)) = 1 - (1 - (1 - 2^(-n)))^2

(b) P(X = Y) = Σ P(X = k)P(Y = k) = Σ (2^(-k))(2^(-k)) = Σ (2^(-2k))

(c) P(X > Y) Σ P(X = k)P(Y < k) = Σ (2^(-k))(1 - 2^(-k)) = Σ (2^(-k) - 2^(-2k))

(a) The probability P(min(X, Y) ≤ n) represents the probability that the minimum value between X and Y is less than or equal to a given value n. Since X and Y are independent, the probability can be computed as 1 minus the probability that both X and Y are greater than n. Therefore, P(min(X, Y) ≤ n) = 1 - P(X > n)P(Y > n) = 1 - (1 - P(X ≤ n))(1 - P(Y ≤ n)) = 1 - (1 - (1 - 2^(-n)))^2.

(b) The probability P(X = Y) represents the probability that X and Y take on the same value. Since X and Y are discrete random variables, they can only take on integer values. Therefore, P(X = Y) can be calculated as the sum of the individual probabilities when X and Y take on the same value. So, P(X = Y) = Σ P(X = k)P(Y = k) = Σ (2^(-k))(2^(-k)) = Σ (2^(-2k)).

(c) The probability P(X > Y) represents the probability that X is greater than Y. Since X and Y are independent, we can calculate this probability by summing the probabilities of all possible combinations where X is greater than Y. P(X > Y) = Σ P(X = k)P(Y < k) = Σ (2^(-k))(1 - 2^(-k)) = Σ (2^(-k) - 2^(-2k)).

In summary, (a) P(min(X, Y) ≤ n) = 1 - (1 - (1 - 2^(-n)))^2, (b) P(X = Y) = Σ (2^(-2k)), and (c) P(X > Y) = Σ (2^(-k) - 2^(-2k)).

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2.1 The volume in ml of one can of cold drink is 83 ml.

2.2 The height of the cooler bag is 18 cm.

2.3 The volume in ml of the cooler bag if the breadth of the bag is 12 cm and the length 18 cm is 3,888 ml.

2.4 The circumference of the can is 18.84 cm.

In Mathematics and Geometry, the volume of a cylinder can be calculated by using this formula:

Volume of a cylinder, V = πr²h

Where:

By substituting the given side lengths into the volume of a cylinder formula, we have the following;

Volume of can = 3.14 × (6/2)² × 8.84

Volume of can = 83.27 cm³.

Note: 1 cm³ = 1 ml

Volume of can in ml = 83.27 ≈ 83 ml.

Part 2.2.

For the height of the cooler bag, we have:

Height of cooler bag = 2 × height of can

Height of cooler bag = 2 × 8.84

Height of cooler bag = 17.68 ≈ 18 cm.

Part 2.3

Volume of cooler bag = length × breadth × height

Volume of cooler bag = 18 × 12 × 18

Volume of cooler bag = 3,888 ml.

Part 2.4

The circumference of the can is given by:

Circumference of circle = 2πr

Circumference of can = 2 × 3.14 × 3

Circumference of can = 18.84 cm.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

14

Step-by-step explanation:

So the first graph is Radical/Irrational Graph and the second is Parabola/Quadratic Graph.

You can find the domain by looking at the x-axis and for the range, look at the y-axis. That means all of x-axis is the domain and all of y-axis is the range.

From the first graph, the domain is from -2 to +infinite. But because there's a colored dot, it's either ≥ or ≤.

But because -2 is less than + infinite, we use ≤ instead. Thus, x ≥ -2

Remember that x-values can't be equal to infinite. So we use < instead since there's no x-values that are equal to ∞.

Or we can write in interval notation as [-2,+∞) for symbol "[ or ]" is equal to ≤ or ≥ and ") or (" is equal to > or <

Again, the domain for the first graph is x ≥ -2 or x ∈ [-2, +∞)

And the range, look at the y-axis. Because we can substitute x from -2 to less than ∞, that means the range is from -1 because when x = -2 then x = -1 to + infinite.

Therefore, the range is y ≥ -1 or y ∈ [-1, +∞)

Now for the second graph. Look at the x-axis to find the domain. We notice that the colored dot is at x = -3 and the one with white dot is at x =2. The one without the color or white dot is > or < while the colored one is ≥ or ≤.

So the domain is -3 ≤ x < 2 or x ∈ [-3, 2)

For range, look at the y-axis. Notice that the colored dot is at y = -5 and the maximum point is at y =4. The y =4 is still in the domain so the range still applies to the maximum point.

Therefore the range is -5 ≤ y ≤ 4 or y ∈ [-5, 4]

Answer:

make me brinliest

Step-by-step explanation:

he sai that evolution occurs because of changes during lifetime passed onto offspring

Answer:

10 classes

Step-by-step explanation:

Given equations in the question

Dance World: y = 15x

Toe Tappers: y = 25 + 12.5x

Where,

x = number of classes

Equate the total cost at both dance studios

15x = 25 + 12.5x

Collect like terms

15x - 12.5x = 25

2.5x = 25

Divide both sides by 2.5

2.5x / 2.5 = 25 / 2.5

x = 10 classes

x = number of classes = 10

Answer:

Step-by-step explanation: