The price of a new car is $20,000. If it has a depreciation rate of 18% per year, what is its value in 3 yr?

Answer:

3/14

Step-by-step explanation:

Go to cordinate plane and then find distance.

The resultant percentage strength of hydrocortisone in the product is D. 10%.

The percentage strength of a compound is usually calculated by dividing the weight of the compound by the total weight of the product. When a pharmacist adds 4.5 g of hydrocortisone powder to 60 g of a 2.5% (wlw) hydrocortisone cream, the resultant percentage strength of hydrocortisone in the product is D. 10%.The percentage strength of the cream was initially 2.5% (wlw). The weight of the cream was 60 g. The pharmacist added 4.5 g of hydrocortisone powder. Now we can calculate the weight of the total product. 60 g + 4.5 g = 64.5 g. 4.5 g is the weight of the hydrocortisone powder added to the cream. To determine the percentage strength of hydrocortisone in the product, we divide the weight of hydrocortisone by the total weight of the product. 4.5 g divided by 64.5 g multiplied by 100% gives us the percentage strength of hydrocortisone in the product, which is 10%.

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The provided shape is a decagon, concave polygon, and an irregular polygon, the options decagon, concave, and irregular polygon are correct.

A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.

We have a shape shown in the picture which represents a polygon because it is a closed shape.

As the given shape has ten sides so it is a decagon.

It is a concave polygon because there are two interior angles that are greater than 180 degrees. It is also a concave polygon.

All sides are not equal so it is an irregular polygon.

Thus, the provided shape is a decagon, concave polygon, and an irregular polygon, the options decagon, concave, and irregular polygon are correct.

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Answer:

It would take 28 months for Gym Strong to be a better buy.

Step-by-step explanation:

There are two possible options for gyms to choose from:

Gym Strong charges $350 plus $15 a month

Gym Fit charges $100 plus $24 a month.

Since Gym Strong charges less per month but has a higher initial fee, there will be some time when it will be a cheaper option than Gym Fit.

Let's solve this by analyzing the differences in fixed fees and monthly fees.

The difference of fixed fees is $350 - $100 = $250

The difference on monthly fees is $24 - $15 = $9

Both gyms will charge the same total fees when have passed 250/9 = 27.7 months. Since the number of months is a whole number, we round up.

It would take 28 months for Gym Strong to be a better buy.

Answer:

what equation?

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

2(x+1)^2+3=21

2(x+1)^2=9

x+1=3

x=2

The dot plot for the given data is given below with Title Number of hours students watched Netflix in a month. The mode is 21, median is 29.5, mean is 26.92, range is 16.

A dot plot is a simple and effective way to display data graphically. It is a type of chart that uses dots to represent values and shows the distribution of a dataset.

Mode is a statistical term that refers to the value that appears most frequently. In the given data, 21 occurs most frequently, hence the mode is 21.

To find the median first arrange the data in ascending or descending order

18, 18, 21, 21, 21, 22, 29, 30, 31, 32, 33, 33, 34, 34

Hence, the number of observations in the data set are 14, therefore the median is the average of 7th and 8th observation is the arranged data set.

Median = (29 + 30)/2 = 59/2 = 29.5

Mean is the ratio of sum of all observations to the total number of observations.

Mean = (18 + 18 + 21 + 21 + 21 + 22 + 29 + 30 + 31 + 32 + 33 + 33 + 34 + 34)/14 = 26.92

Range is the difference between the highest and lowest number in the data set.

Range = 34 - 18 = 16

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Answer:

0

Step-by-step explanation:

You can’t divided 0 by 0 so it’s 0

Sentence is not clear, but based on what i understood :

The following sum : "4 added to a greater number" can be written as follow. Let x be that greater number (x > 4) :

"4 + x"

Then this Sum's value, is thrice the smaller number : 3 × 4 = 12.

Finally, we need to solve this equation :

4 + x = 3 × 4

4 + x = 12

We subtract 4 on both sides of the equation :

4 + x - 4 = 12 - 4

x = 8

So this number x, is equal to 8.

The correct the option B, (x+3)^2=13. for the same solution of the equation as x^2+6x-14 = 8.

The equation x^2+6x-14=8 can be simplified by moving the constant term to the right side and completing the square.

After completing the square, we get the equation (x+3)^2=31.

Therefore, the equation that has the same solution as x^2+6x-14=8 is (x+3)^2=31, which is option B.

To see why options C and D are not correct, we can expand them and see that they lead to different equations.

Option C expands to (x^2-6x+9)=31x-93, which simplifies to x^2-37x+102=0. Option D expands to (x^2-6x+9)=13x-39, which simplifies to x^2-13x+30=0.

Neither of these equations is equivalent to x^2+6x-14=8, so options C and D are not correct.

Therefore, the option B, (x+3)^2=13.

It is important to note that while completing the square is a useful method to solve this problem, it may not always be the fastest or most efficient method.

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5/8 teaspoon yeast is to be added

Answer:

see explanation

Step-by-step explanation:

cos C = \(\frac{adjacent}{hypotenuse}\) = \(\frac{BC}{AC}\) = \(\frac{24}{51}\) = \(\frac{8}{17}\)

-----------------------------------------------------

tan Z = \(\frac{opposite}{adjacent}\) = \(\frac{XY}{ZY}\) = \(\frac{15}{20}\) = \(\frac{3}{4}\)

---------------------------------------------------

sin C = \(\frac{opposite}{hypotenuse}\) = \(\frac{AB}{AC}\) = \(\frac{60}{65}\) = \(\frac{12}{13}\)

The hydrologic cycle, also known as the water cycle, plays a crucial role in the Earth's natural processes. It involves the continuous movement of water between the Earth's surface, atmosphere, and underground reservoirs.

The importance of the hydrologic cycle can be understood by considering its various functions:

Transport: The hydrologic cycle facilitates the transport of water across the Earth's surface, including rivers, lakes, and oceans. This movement of water is vital for the distribution of nutrients, sediments, and organic matter, which are essential for the functioning of ecosystems.

Weathering and Contaminant Transport: Water plays a significant role in weathering processes, such as erosion and dissolution of rocks and minerals. It also acts as a carrier for contaminants, pollutants, and nutrients, influencing their transport through the environment.

Energy Balance: Water has a high heat capacity, which means it can absorb and store large amounts of heat energy. This property helps regulate the Earth's temperature and climate by transporting heat through evaporation, condensation, and precipitation.

Greenhouse Gas: Water vapor is a major greenhouse gas that contributes to the Earth's natural greenhouse effect. It absorbs and re-emits thermal radiation, trapping heat in the atmosphere. Approximately 80% of the atmospheric greenhouse effect is attributed to water vapor.

Life: Water is vital for supporting life on Earth. It provides a habitat for numerous organisms and serves as a medium for various biological processes. Terrestrial life forms, including plants, animals, and humans, rely on water availability for their survival, growth, and reproduction.

It is important to note that while water is critical for most terrestrial life forms, human beings have developed technologies and systems that allow them to inhabit regions with limited water availability. However, water still remains a fundamental resource for human societies, and the hydrologic cycle plays a crucial role in ensuring its availability and sustainability.

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Answer:

I'm assuming it's a triangle of some sort. I'll assume it's a right triangle. All the angles and sides are there. I would need 2 angles and 1 side or 2 sides and 1 angle to get a specific triangle.

Step-by-step explanation:

The advantages of the superposition theorem compared to other circuit theorems are its simplicity and modularity in circuit analysis, as well as its applicability to linear circuits.

Superposition theorem is a powerful tool in circuit analysis that allows us to simplify complex circuits and analyze them in a more systematic manner. When compared to other circuit theorems, such as Ohm's Law or Kirchhoff's laws, the superposition theorem offers several advantages. Here are two key advantages of the superposition theorem:

Simplicity and Modularity: One major advantage of the superposition theorem is its simplicity and modular approach to circuit analysis. The theorem states that in a linear circuit with multiple independent sources, the response (current or voltage) across any component can be determined by considering each source individually while the other sources are turned off. This approach allows us to break down complex circuits into simpler sub-circuits and analyze them independently. By solving these individual sub-circuits and then superposing the results, we can determine the overall response of the circuit. This modular nature of the superposition theorem simplifies the analysis process, making it easier to understand and apply.

Applicability to Linear Circuits: Another advantage of the superposition theorem is its applicability to linear circuits. The theorem holds true for circuits that follow the principles of linearity, which means that the circuit components (resistors, capacitors, inductors, etc.) behave proportionally to the applied voltage or current. Linearity is a fundamental characteristic of many practical circuits, making the superposition theorem widely applicable in real-world scenarios. This advantage distinguishes the superposition theorem from other circuit theorems that may have limitations or restrictions on their application, depending on the circuit's characteristics.

It's important to note that the superposition theorem has its limitations as well. It assumes linearity and works only with independent sources, neglecting any nonlinear or dependent sources present in the circuit. Additionally, the superposition theorem can become time-consuming when dealing with a large number of sources. Despite these limitations, the advantages of simplicity and applicability to linear circuits make the superposition theorem a valuable tool in circuit analysis.

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Answer:

18

Step-by-step explanation:

24 - (3 * 2)

Using the slope concept, it is found that the distance from point A to point B is of 392 feet.

At point A:

Then:

\(\tan{8^{\circ}} = \frac{108}{x_A}\)

\(x_A = \frac{108}{\tan{8^{\circ}}}\)

\(x_A = 768.46\)

At point B:

Then:

\(\tan{16^{\circ}} = \frac{108}{x_B}\)

\(x_B = \frac{108}{\tan{16^{\circ}}}\)

\(x_B = 376.64\)

The distance is:

\(d = x_A - x_B = 768.46 - 376.64 \approx 392\)

The distance from point A to point B is of 392 feet.

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Answer:

use the slope formula!

Step-by-step explanation:

Rate of change is basically slope

you have to use the slope formula y2-y1/x2-x1

for example in the first question on the left 30-15 ÷ 5-2 = 5

would you like me to do the rest?

The interest practice described in the question is known as "bundling." Bundling refers to the act of combining individual campaign contributions from multiple sources into a single larger contribution from a group or organization.

Bundling allows interest groups or individuals to pool their resources and present a more substantial contribution to a candidate. By consolidating smaller contributions into a larger sum, bundlers can demonstrate greater financial support and influence.

This practice is often employed by special interest groups, lobbyists, or individuals with shared political objectives who want to maximize their influence on the political process. Bundlers can leverage their collective financial power to gain access to candidates, shape policy agendas, and potentially gain favorable treatment or influence over decision-making.

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Using it's concept, the domain of the square root function shown in the graph is:

\(x \geq 0\)

The domain of a function is the set that contains all possible input values for the function. In a graph, the domain is the set that contains the values of x.

Researching the problem on the internet, the graph is of the square root function, defined for \(x \geq 0\), which is the domain of the function.

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Slope is change in y / change in x

Using two of the points on the line:

Slope = ( 10-2) /( 6-2)

Slope = 8/4

Slope = 2

Answer: slope = 2

The solution to the equation is θ = -0.3218 + kπ.

To solve the equation tan(θ) = -1/3, we can use the inverse tangent function (arctan) to find the angle θ.

Step 1: Take the inverse tangent (arctan) of both sides of the equation:

arctan(tan(θ)) = arctan(-1/3)

Step 2: Simplify the left side using the identity: arctan(tan(θ)) = θ

θ = arctan(-1/3)

Step 3: Use a calculator or reference table to find the value of arctan(-1/3).

arctan(-1/3) ≈ -0.3218 (rounded to four decimal places)

Therefore, the solution to the equation tan(θ) = -1/3 is:

θ ≈ -0.3218 + kπ, where k is any integer.

Correct Question :

Solve the given equation. let k be any integer. round terms to two decimal places where appropriate.) tan(θ)= − 1/3.

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The slope of the line would be - 3/2 which passes through the points (−3, 1) and (1, −5) which is the correct answer would be an option (C).

The slope of a line is defined as the angle of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

The required slope of the line that passes through the points (−3, 1) and (1, −5)

Let

x₁ = -3, y₁ = 1

x₂ = 1, y₂ = -5

∵ Slope m = (y₂ - y₁)/(x₂ -x₁ )

Substitute values in the formula, and we get

m = (-5 - 1)/(1 - (-3))

m = -6 /(1 + 3)

m = -6 / 4

m = - 3/2

Therefore, the slope of the line would be - 3/2.

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Answer:

\(\boxed{\sf -14-4i}\)

Step-by-step explanation:

\(\sf (-2i)(2-7i)\)

Multiply -2i * 2-7i:-

\(\sf -2i\times 2-2(-7)i^2\)

i^2 is -1

\(\sf -2i\times 2-2(-7)(-1)\)

Now, do the multiplications.

Reorder the terms.

\(\sf -14-4i\)

____________________________________

Answer:

Each game cost £3.75

Step-by-step explanation:

£13.75-£2.50=£11.25

£11.25÷3=£3.75

Answer:

Activity 1: 3g + 2.50 = 13.75

Activity 2: 3.75

Step-by-step explanation:

3g is because he played 3 games. You add 2.50 because that is also what Giovanni spent on. Equals 13.75 is because that's the total he payed.

To solve, first do - 2.50 from both sides. The new equation is 3g = 11.25. Now divide 3 from both sides to find g. g = 3.75. "g" is the cost of each bowling game. So the price of each bowling game is 3.75.

Hope it helps!

Answer:

Startup Capital

Step-by-step explanation:

The startup capital is the money raised by a new company in order to meet its initial costs. Entrepreneurs would need to form a solid business plan or create a prototype in an attempt to sell their concept, which would help them gain startup capital.

Based on the information provided, it appears that the regression model has found a statistically significant relationship between the outcome variable and the response variables while controlling for the effects of the two co-variables.

However, the R2 value of only 11.5% suggests that the model is explaining only a small portion of the variability in the outcome variable. This may indicate that there are other important factors that are not being accounted for in the model. It is also possible that the co-variables included in the model are not strong predictors of the outcome variable. Further investigation and analysis may be needed to fully understand the relationship between the variables and to improve the predictive power of the model.

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Answer: 1/4

Step-by-step explanation:

The scale factor is the same as the ratio of the length of a side of the image to the length of the corresponding side in the preimage.

We know that A'D'=2 and AD=8, so the scale factor is 2/8 = 1/4.