Type the correct answer in each box. use numerals instead of words. ethan bought a house in madison, wisconsin in 2003. the value of the house, in dollars, t years after 2003, can be calculated using the expression below. use the given expression to complete the statements below. the quantity that represents the initial value of the house is . the quantity that represents the rate at which the value of the house is increasing is , which means the growth rate of the value of the house is %. the quantity that represents the number of times the value of the house increases each year is .

Answer:

Step-by-step explanation:

Zanes can climb 5/7 meters for every 7 seconds.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

This is clearly shown in the graph of Zane's elevation relative to the rim of the volcano in meters as a function of time in seconds.

The graph showed that Zane was climbing the volcano at a constant rate, creating a linear graph of his movement.

From the graphical representation, it could be seen from the graph that the x-intercept is (0,5) and the y-intercept is (7,0)

Slope of line is m=5/7

Hence, Zanes can climb 5/7 meters for every 7 seconds.

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Answer:

The choice C) 34°

Step-by-step explanation:

\(75 + (x + 42) + (x + 79) = 180 \\ 2x + 196 = 180 \\ 2x = 180 - 196 \\ 2x = - 16 \\ \\ x = \frac{ - 16}{2} \\ \\ x = - 8 \\ \\ x + 42 = > - 8 + 42 = 34\)

The mathematical domain of the function is 0<or = 5<or = -0.3

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.

the type of behavior that is appropriate for a given person, object, or institution; the reason why something exists; a role. any formal event or gathering that is public or social. a variable connected to or reliant upon another variable: A price depends on both supply and demand.

According to the above statements:-

The mathematical domain of the functions are:-

0<or = 5<or = -0.3

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Help you with what, you need to show the linear graphs and functions to help you with it.

Doing the multiplication, 3 minutes * 20 = 60minutes/1 hour

1*20 + first 10 pages=30 pages

In 1 hour, she will read 30 pages, which matches graph X

Answer:

809.915$

Step-by-step explanation:

Amount of money = Principal x e^(rate x year)

                              = 600 x e^(0.05 x 6)

                              = 809.915$

Answer:

$809.92

Step-by-step explanation:

(see attached for reference)

Recall that the formula for compound interest (compounded continuously) is

A = P e^(rt)

where,

A = final amount (we are asked to find this)

P = principal = given as $600

r = interest rate = 5% = 0.05

t = time = 6 years

e = 2.71828 (mathematical constant)

Substituting the known values into the equation:

A = P e^(rt)

= 600 e^(0.05 x 6)

= 600 (2.71828)^(0.30)

= $809.92

Answer:

2y+6

Step-by-step explanation:

3y-y = 2y

So therefore...

2y+6

Answer:

the ans is 100

Answer:

0.83 Km

Step-by-step explanation:

First day she walked 3/7 Km

Second day she walked 2/5 Km

Simple addition problem where they ask for the sum of how may Km she walked in those two days therefore:

3/7 + 2/5 = 29/35 Km

or about 0.83 Km

Answer:

\( \frac{29}{35} \) or ~0.83km

Step-by-step explanation:

\( \frac{3}{7} + \frac{2}{5} = \frac{29}{35} \)

make the denominators the same in order to find total in addition

3 • 5 = 15

7 • 5 = 35

2 • 7 = 14

5 • 7 = 35

\( \frac{15}{35} + \frac{14}{35} = \frac{29}{35} \) or ~0.83km

Answer:

1/12^4

Step-by-step explanation:

I'm pretty sure this is the answer sorry if I am wrong

In the given study, a regression analysis was conducted to examine the relationship between perceived happiness and body condition among seniors. Both measures, perceived happiness and body condition, are on a scale of 0 to 100.

To answer questions based on the given output, we need to understand the specific information provided in the output. It would be helpful to see the actual output in order to provide a more accurate and detailed response.

Regression analysis is a statistical technique used to explore the relationship between a dependent variable (in this case, perceived happiness) and one or more independent variables (in this case, body condition). The analysis helps determine how changes in the independent variable(s) are associated with changes in the dependent variable.

Some possible questions that can be answered based on the given output might include:

1. What is the strength of the relationship between perceived happiness and body condition among seniors?
2. Is the relationship between perceived happiness and body condition statistically significant?
3. What is the direction of the relationship between perceived happiness and body condition?
4. How much of the variation in perceived happiness can be explained by body condition?

To answer these questions, we would need to examine the specific results from the regression analysis output. The output typically includes information such as the regression coefficients, p-values, R-squared value, and other statistical measures.

Let's consider the first question: "What is the strength of the relationship between perceived happiness and body condition among seniors?"

To determine the strength of the relationship, we would look at the regression coefficient for body condition. A positive coefficient would indicate a positive relationship, meaning that as body condition increases, perceived happiness also tends to increase. A negative coefficient would indicate a negative relationship, meaning that as body condition increases, perceived happiness tends to decrease.

The magnitude of the coefficient indicates the strength of the relationship. A larger coefficient suggests a stronger relationship, while a smaller coefficient suggests a weaker relationship.

In summary, regression analysis was used in the study to examine the relationship between perceived happiness and body condition among seniors. The specific questions that can be answered based on the given output depend on the information provided in the output, such as regression coefficients, p-values, and R-squared value.

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Answer:

325 adults

Step-by-step explanation:

x=#adults

y=#children

x+y=937

2x+0.75y=1109

2x+2y=1874

-2x-0.75y=1109

1.25y=765

y=612

x=937-612

x=325

Answer:

The answer is 24501.42

Step-by-step explanation:

Diameter=34m

Radius=34÷2 = 17m

Height=27m

Volume=πr^2h

Volume= 3.14×(17)^2×27

Volume= 3.14×289×27

Volume= 24501.42m^2

Answer: Neither

Step-by-step explanation:

1. In the context of spacetime, the locus of points equidistant from the origin of a spacetime plane is a hyperbola.

In Euclidean space, the distance between two points is given by the Pythagorean theorem, which only considers spatial dimensions. However, in spacetime, the concept of distance is extended to include both spatial and temporal components. The spacetime distance, also known as the interval, is given by the Minkowski metric:

ds^2 = -c^2*dt^2 + dx^2 + dy^2 + dz^2,

where c is the speed of light, dt represents the temporal component, and dx, dy, dz represent the spatial components.

To determine the locus of points equidistant from the origin, we need to find the set of points where the spacetime interval from the origin is constant. Setting ds^2 equal to a constant value, say k^2, we have:

-c^2*dt^2 + dx^2 + dy^2 + dz^2 = k^2.

If we focus on a spacetime plane where dy = dz = 0, the equation simplifies to:

-c^2*dt^2 + dx^2 = k^2.

This equation represents a hyperbola in the spacetime plane. It differs from a circle in Euclidean space due to the presence of the negative sign in front of the temporal component, which introduces a difference in the geometry.

Therefore, the locus of points equidistant from the origin in a spacetime plane is a hyperbola.

(Note: The explanation provided assumes a flat spacetime geometry described by the Minkowski metric. In the case of a curved spacetime, such as that described by general relativity, the shape of the locus of equidistant points would be more complex and depend on the specific curvature of spacetime.)

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The water tower is approximately 49.31 feet tall.

To determine the height of water tower, we can use the ratio of the height of the man and his shadow to the height of the tower and its shadow. Let's call the height of the water tower "h". We know that the ratio of the man's height to his shadow is 6 ft/3.6 ft = 1.67. So, the ratio of the water tower's height to its shadow is h/29.3.

If we set the two ratios equal to each other, we get:

1.67 = h/29.3

Solving for h, we get:

h = 49.31 ft

So, the water tower is approximately 49.31 feet tall.

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The radian measure of the angle at the center of the circle is approximately 1.6623 radians.

We are given that the radius of the circle is 77.0 cm and the length of the intercepted arc is 128 cm. We need to find the radian measure of the angle at the center of the circle.

To solve this problem, we use the formula relating the angle at the center of a circle, the radius of the circle, and the arc length intercepted by the angle.

The formula is given byθ = s/rwhereθ = angle at the center of the circle in radians s = arc length intercepted by the angle r = radius of the circle Substituting the given values, we getθ = 128/77.0 = 1.6623 radians (rounded to four decimal places)

Therefore, the radian measure of the angle at the center of the circle is approximately 1.6623 radians.

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Answer:

a) XY and BD are paralel and they are on the same side in relation to AB line

b) Lines XB and XC have the same size and are supported by the same line BC, therefore XBC and XCB have the same angles, therefore XCB is also 55º.

The sum of all angles of a triangle is 180 so BXC is 180 - 55 - 55.

180 - 110 = 70º
BXC = 70º... probably

Step-by-step explanation:

Answer:

4° C

Step-by-step explanation:

The average temperature for 7 days is

(sum of first 7 temperatures)          

------------------------------------------ = 4° C

                   7 days

Thus, the mean temperature for the first 8 days is

(7 days)(4° C) + 4° C      32° C

----------------------------- = ---------- = 4° C

            8 days                   8

Answer:

it is the set of solution that given to a number the answer is in the set g(X) means that it is the member of g

The negative trend pattern exists in the given data.

The Given information is as follows: Month 1 2 3 4 5 6 7

Value 23 15 20 12 18 22 15

To find: What type of pattern exists in the data

The pattern that exists in the given data can be determined by creating a graph between month and value. So, the graph will be as follows: Type of pattern: From the above graph, it is evident that there is a Negative trend pattern in the data. Answer: (d) Negative trend pattern.

Conclusion: Thus, the negative trend pattern exists in the given data.

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The solution of the equation are as follows:

y = 15

v = 28

r = 95.5

m = 30

d = 54

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.  The equation can be solved by finding the value of the variables.

A variable is a number represented with letter in an equation.

Therefore, let's solve the equation.

y + 4 - 1 = 18

y = 18  - 4 + 1

y = 15

v - 7 = 9 + 12

v = 12 + 9 + 7

v = 28

53.5 + 44 = 2 + r

r = 53.5 + 44 - 2

r = 95.5

m + 18 + 23 = 71

m = 71 - 18 - 23

m = 30

22 + 15 = d - 17

d = 22 + 15 + 17

d = 54

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The probability of both rice and carrots being served with dinner is 23.4%.

The probability of Alvin's mother serving rice with dinner can be expressed using the formula P(Rice) = 0.78. This means that the probability of Alvin's mother serving rice with dinner is 78%. The probability of Alvin's mother serving carrots with dinner can be expressed using the formula P(Carrots) = 0.30. This means that the probability of Alvin's mother serving carrots with dinner is 30%. To calculate the combined probability of both rice and carrots being served with dinner, we can use the formula P(Rice and Carrots) = P(Rice) * P(Carrots) = 0.78 * 0.30 = 0.2340. This means that the probability of both rice and carrots being served with dinner is 23.4%.

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Answer:

x = 19

Step-by-step explanation:

x = Courtney's current age

14+x = Mary's current age

Mary's current age: 14 + 19 = 33

14 + x + 5 = 2x

19 = x

Answer:

n = 11

Step-by-step explanation:

let first odd number be n(as stated in question)

to have the next consecutive odd number, add 2 to the n:

1st odd number = n

2nd odd number = n + 2

3rd odd number = n + 4

following the qn, sum of n, twice of n + 2 and thrice of n + 4 is 82

thus n + 2(n+2) + 3(n+4) = 82

n + 2n + 4 + 3n + 12 = 82

6n = 66

therefore n = 11

The statistical technique used to estimate future values by successive observations of a variable at regular intervals of time that suggest patterns is called trend analysis.

Trend analysis is a statistical technique that helps identify patterns and tendencies in a variable over time. It involves analyzing historical data collected at regular intervals to identify a consistent upward or downward movement in the variable.

By examining the sequential observations of the variable, trend analysis aims to identify the underlying trend or direction in which the variable is moving. This technique is particularly useful when there is a time-dependent relationship in the data, and past observations can provide insights into future values.

Trend analysis typically involves plotting the data points on a time series chart and visually inspecting the pattern. It helps in identifying trends such as upward or downward trends, seasonality, or cyclic patterns. Additionally, mathematical models and statistical methods can be applied to quantify and forecast the future values based on the observed trend.

This statistical technique is widely used in various fields, including finance, economics, marketing, and environmental sciences. It assists in making informed decisions and predictions by understanding the historical behavior of a variable and extrapolating it into the future.

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The rational root theorem states that it is a representation to determine the rational zeros or the solution of the given polynomial function.

As given in the question,

Therefore, the rational root theorem helps us to find rational solution or zeros of the of any polynomial function.

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