What number is the car parked on?

There are two terms in the given expression 5xy²+ 35xy².

What is meant by term?

Terms comprise expressions. A term may be a constant, a variable, or a combination of variables and constants.

What is an example of a term?

It could be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase. Single-word examples: A single phrase is 3x.

There are two terms in the equation 5xyA ^2 + 35xyA^2 that is separated by an arithmetic operator +.

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The accuracy of any estimate of the mean high temperature will depend on the quality and quantity of data available, as well as the methods used to analyze and interpret this data.

To estimate the mean high temperature with a value of 797687, we need to first understand what this value represents. Assuming that this value represents the high temperature for a certain area or region, we can use statistical methods to estimate the mean high temperature for this area.

One way to estimate the mean high temperature is to take a sample of high temperature data for this area, and then calculate the average of this sample. This sample should be large enough to provide a representative estimate of the population mean, but not so large as to be impractical or expensive.

Another way to estimate the mean high temperature is to use historical data or climate models to predict future high temperatures. This method requires knowledge of past trends and patterns in temperature data, as well as an understanding of the factors that influence high temperatures in this area.

It is important to use sound statistical techniques and to be aware of potential sources of bias or error when making any estimates of this nature.

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The given congruency proof to show that AE ≅ A F is; SSS Congruency Postulate

From the given items, we see that the congruency proofs are;

Statement 1; ΔEBC ≅ ΔFDC

Reason 1; Given

Statement 2; ∠EAC ≅ ∠ECA

Reason 2; Given

Statement 3; ∠FAC ≅ ∠FCA

Reason 3; Given

Statement 4; AE ≅ A F

Reason 4; SSS congruency postulate

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The probability of exactly one successes in five trials  is 0.20

From the question, we have the following parameters that can be used in our computation:

The probability is calculated as

P(x) = nCx * p^x * (1 - p)^(n -x)

Where

n = 5

p = 5%

x = 1

Substitute the known values in the above equation, so, we have the following representation

P(1) = 5C1 * (5%)^1 * (1 - 5%)^(5 -1)

Evaluate

P(1) = 0.20

HEnce, the probability value is 0.20

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The mean-square end-to-end distance for the fractal line is ⟨R2⟩ = b².L^(1-D).

The mean-square end-to-end distance for the fractal line is as follows.⟨R2⟩ = ⟨(R(u)- R(v))^2⟩ for u = 0 and v = L where L is the length of the line.⟨R2⟩ = b²/L^2.D.L = b².L^(1-D).

Thus, the mean-square end-to-end distance for the fractal line is ⟨R2⟩ = b².L^(1-D).

The radius of gyration Rg is defined as follows.

Rg² = (1/N)∑_(i=1)^N▒〖(R(i)-R(mean))〗²where N is the number of monomers in the fractal line and R(i) is the position vector of the ith monomer.

R(mean) is the mean position vector of all monomers.

Since the fractal dimension is D, the number of monomers varies with the length of the line as follows.N ~ L^(D).

Therefore, the radius of gyration for the fractal line is Rg² = (1/L^D)∫_0^L▒〖(b/v^(1-D))^2 v dv〗 = b²/L^2.D(1-D). Thus, Rg² = b².L^(2-D).

The ratio R²/Rg² is given by R²/Rg² = L^(D-2).

When D = 1, R²/Rg² = 1/L. When D = 1.7, R²/Rg² = 1/L^0.7. When D = 2, R²/Rg² = 1/L.

This provides information on mean-square end-to-end distance and radius of gyration for fractal line with a given fractal dimension.

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Answer:

t = 8.155 years

Step-by-step explanation:

P = 1,000

A = 2,000

r = R/100

r = 8.5/100

r = 0.085 per year,

Then, solve the equation for t

t = ln(A/P) / r

t = ln(2,000.00/1,000.00) / 0.085

t = 8.155 years

Answer:

csc θ * sin θ

Simplified using trig identities:  

csc (x) = 1/sin(x)  

so, csc (0) = 1/sin(0)  

1/sin(0) * sin (0), the result will be sin(0) / sin (0) which is equal to 1.  

Therefore, the answer is 1.

Step-by-step explanation:

Expression in sin θ and cos θ below

4cos ec^2  2θ as 2 /    2 (4 sin θ cos θ )^2

or

cos ec^2 θ as 1 / sin ^2  θ

. Accept terms like

cos ec^2 θ = 1  +cot^2 θ =1 +  cot^2 θ /sin^2 θ

Answer:

14/3

Step-by-step explanation:

Answer:

58/3

Step-by-step explanation:

7 1/4 ÷ 3/8

= 29/4 x 8/3

= 29 x 2/3

= 58/3

Answer:

x = 21.9317122

Step-by-step explanation:

20² + 9² = x²

400 + 81 = x²

481 = x²

square root both answers and that's your answer

Answer:

208

Step-by-step explanation:

112+40=152 And that's the rest of them is under 152 so they can't be it so the only option left is 208

I'm not a expert but I'm just trying to help if u need ask someone else to explain but that's the right answer

The equivalent expression to ( x - 3 )² is  x² - 6x + 9.

Given the expression in the question;

( x - 3 )²

To simplify, first write ( x - 3 )² as;

( x - 3 )( x - 3 )

Now, expand using FOIL Method

x( x - 3 ) -3( x - 3 )

x×x + x×-3 - 3×x - 3×-3

x² - 3x -3x + 9

Collect and add like terms

Add -3x and -3x

x² - 6x + 9

Therefore, the simplified form is x² - 6x + 9.

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Its 23

Step-by-step explanation:

The Equation is an Arrhenius Equation.

Arrhenius equation is a mathematical expression that relates the rate of a chemical reaction to the temperature at which the reaction occurs.

In the Arrhenius equation, ln(p2/p1) is the natural logarithm of the ratio of the reaction rates at two different temperatures (p1 and p2). ΔH is the activation energy of the reaction, in units of joules per mole (J/mol). R is the gas constant, which is a physical constant that relates the energy of a system to its temperature. T1 and T2 are the two temperatures at which the reaction rates are measured, in units of kelvin (K).

The Arrhenius equation can be used to predict how the rate of a chemical reaction will change as the temperature changes. It is often used in the study of chemical kinetics, which is the study of the rates of chemical reactions and the factors that affect them.

Therefore the above equation is an Arrhenius equation.

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The equation the function after the transformation is (c) g(x) = -√x  - 3

The equation of the function is given as

f(x) = √x ---- i.e the square root parent function

The sequence of transformations is given as follows:-

When the above transformations are combined, we have:

Translate up by 3 units: g(x) = f(x) + 3

Reflection across the x-axis: g(x) = -(f(x) + 3)

So, we have

g(x) = -(√x + 3)

Expand

g(x) = -√x  - 3

Hence, the function g(x) is (c) g(x) = -√x  - 3

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The distance from the bird to the top of the tree is 61.95 feet.

We have,

Angle of elevation to the top of the tree: 38 degrees.

Angle of elevation to the bird: 60 degrees.

Distance from the base of the tree to your position: 84 feet.

Let the distance from the bird to the top of the tree as 'x'.

Using Trigonometry

tan(38) = height of the tree / 84

height of the tree = tan(38) x 84

and, tan(60) = height of the tree / x

x = height of the tree / tan(60)

Substituting the value of the height of the tree we obtained earlier:

x = (tan(38) x 84) / tan(60)

x ≈ 61.95 feet

Therefore, the distance from the bird to the top of the tree is 61.95 feet.

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The population of an island in 1950 was 2 million. The population grew exponentially for 63 years and reached 6.5 million in 2013. The carrying capacity of the island is estimated to be 10 million.

If the population growth rate in the future is similar to the last 50 years, what will the population be in 2050

The population is given to be increasing exponentially, which means it will follow the equation:

\($P(t) = P_0 e^{rt}$\)Here,\($P(t)$\) is the population after a period of time \($t$, $P_0$\) is the initial population, $r$ is the annual growth rate (which we are given is the same as the growth rate of the last 50 years), and \($t$\) is the time.

We can find the annual growth rate $r$ using the formula:\($$r = \frac{\ln{\frac{P(t)}{P_0}}}{t}$$\)
We know\($P_0 = 2$ million, $P(t) = 6.5$ million, and $t = 63$\) years. Substituting these values, we get:

\($r = \frac{\ln{\frac{6.5}{2}}}{63} = 0.032$\) (rounded to 3 decimal places)

Since the carrying capacity of the island is 10 million, we know that the population will not exceed this limit.

Therefore, we can use the logistic model to find the population growth over time. The logistic growth model is:

\($$\frac{dP}{dt} = r P \left(1 - \frac{P}{K}\right)$$\)

where $K$ is the carrying capacity of the environment. This can be solved to give:\($P(t) = \frac{K}{1 + A e^{-rt}}$\)

where \($A = \frac{K-P_0}{P_0}$. We know $K = 10$ million, $P_0 = 2$ million, and $r = 0.032$\). Substituting these values, we get:\($A = \frac{10-2}{2} = 4$\)

Therefore, the equation for the population of the island is:\($P(t) = \frac{10}{1 + 4 e^{-0.032t}}$\)

To find the population in 2050, we substitute\($t = 100$\) (since 63 years have already passed and we want to find the population in 2050, which is 100 years after 1950):

\($P(100) = \frac{10}{1 + 4 e^{-0.032 \times 100}} \approx \boxed{8.76}$ million\)
Therefore, the estimated population of the island in 2050, assuming constant carrying capacity and consumption per capita, is approximately 8.76 million.

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Answer:

6

Step-by-step explanation:

Answer:

-1.25

Step-by-step explanation:

a=15

b=-5

If you plug the values into the equation you get

-5^2/15+5

-25/20

If you simplify that you will get:

-4/5

Or:

-1.25

Answer:

2 9/14

Step-by-step explanation:

El problema que tiene una relación de proporcionalidad es el siguiente: la distancia en kilómetros recorrida por un deportista y el tiempo en minutos que se tardó.

En este caso, se establece una relación directamente proporcional entre la distancia recorrida y el tiempo empleado. Esto significa que a medida que aumenta la distancia recorrida, también aumenta el tiempo necesario para completarla, y viceversa.

La proporcionalidad se refleja en el hecho de que si se duplica la distancia, también se duplicará el tiempo empleado para recorrerla. Del mismo modo, si se reduce a la mitad la distancia, también se reducirá a la mitad el tiempo necesario.

Este tipo de problema de proporcionalidad es común en actividades físicas, como correr, caminar o montar en bicicleta, donde la velocidad y el ritmo determinan el tiempo necesario para cubrir una determinada distancia.

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The percentage mark-up of the goods is 69 percent.

The mark-up percentage is calculated by subtracting the unit cost from the selling price, dividing by the unit cost and multiplying times 100.

Therefore, the buyer for a chain of stores purchased tables in bulk, paying $200 each. The stores will sell each table for $338.

Hence, the percentage mark-up can be calculated as follows:

percentage mark-up = 338 - 200 / 200 × 100

percentage mark-up = 138 × 100 / 200

percentage mark-up = 13800 / 200

percentage mark-up = 138 / 2

percentage mark-up = 69 %

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The mode is the category with the highest frequency in the distribution.

In a dataset or distribution, the mode refers to the value or category that appears most frequently. It represents the peak or most common observation in the dataset. Unlike the mean and median, which are measures of central tendency, the mode focuses on the frequency or occurrence of specific values or categories.

For example, if we have a dataset of test scores: 85, 92, 78, 92, 77, 85, 90. In this case, the mode would be 92 since it appears twice, which is more frequently than any other value.

In categorical data, the mode refers to the category or group with the highest frequency or count. For example, if we have a dataset of favorite colors: red, blue, green, blue, blue, yellow, green. In this case, the mode would be blue since it appears more frequently than any other color.

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The solutions to the equation\(5x^2 - 5x - 24\) = 0 are (5 + √505) / 10 and (5 - √505) / 10.

To solve the quadratic equation 5x^2 - 5x - 24 = 0, we can use the quadratic formula: x = (-b ± √(\(b^2 - 4ac\))) / (2a), where a, b, and c are the coefficients of the quadratic equation in the form ax^2 + bx + c = 0.

In this case, a = 5, b = -5, and c = -24. Plugging these values into the quadratic formula, we get:

x = (-(-5) ± √((\(-5)^2 - 4 * 5 * (-24)\))) / (2 * 5)

  = (5 ± √(25 + 480)) / 10

  = (5 ± √505) / 10

Therefore, the two solutions for the equation \(5x^2 - 5x - 24 = 0\) are:

x = (5 + √505) / 10 and x = (5 - √505) / 10.

These are the exact solutions. If you need decimal approximations, you can calculate them using a calculator. The solutions may or may not be real numbers depending on the value inside the square root. If the value inside the square root is negative, the solutions will be complex numbers.

In summary, the solutions to the equation 5x^2 - 5x - 24 = 0 are (5 + √505) / 10 and (5 - √505) / 10.

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The fraud triangle is a model that describes the three key factors that must be present for fraud to occur: opportunity, rationalization, and pressure.

These factors are often represented as the three sides of a triangle, with fraud being the result at the center.

Opportunity refers to the ability of an individual to commit fraud, either due to a lack of internal controls or the ability to override existing controls. Rationalization refers to the mental process by which an individual justifies the fraudulent behavior to themselves, often by convincing themselves that it is not really wrong or that they have a valid reason for doing it. Pressure refers to the external factors that motivate an individual to commit fraud, such as financial difficulties, job insecurity, or a desire to meet performance targets.

In summary, the fraud triangle indicates that all three conditions of opportunity, rationalization, and pressure must be present for fraud to be perpetrated.

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Answer:

x = 55 degrees

Step-by-step explanation:

The sum of the internal angles of a triangle results in 180°

x + 50° + 75° = 180°

x + 125° =180°

x = 180° - 125°

x = 55°

Answer:

  -2

Step-by-step explanation:

The floor function returns the largest integer not greater than the function's argument. The largest integer less than or equal to -1.1 is -2.

Answer:

Central Angle - an angle formed in the center of a circle by the meeting of two radii. Chord - a straight line connecting two points on an arc or circle.

8 pages

Step-by-step explanation:

In the diagram, m∠RQY = m∠WQT = 50° and Q is the center of the circle. Name two triangles that are congruent. answer choices. ∆RQY ≅ ∆YQW.

In the diagram, AB passes through the center C of the circle and DC⊥AB. Name two ... If two triangles are congruent, then their perimeters are the same.

Answer:

168 miles

Step-by-step explanation: