why would you use a trigonometric function to set-up an application problem instead of a non-trigonometric function

\( \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star\)

\(\textsf{ \underline{\underline{Steps to solve the problem} }:}\)

\(\qquad❖ \: \sf \: \angle1 \cong \angle2\)

( by corresponding angle pair )

\(\qquad❖ \: \sf \: \angle2 \cong \angle3\)

( given in the question )

\( \qquad \large \sf {Conclusion} : \)

\(\qquad❖ \: \sf \: \angle1 \cong \angle3\)

The of association represented in the graph is positive linear association.

option C

A positive correlation is a statistical relationship between two variables such that as one variable increases, the other variable also increases, and as one variable decreases, the other variable decreases as well.

In other words, positive correlation means that as the value of one variable goes up, the value of the other variable also goes up, and vice versa. The correlation is said to be positive because both variables move in the same direction.

The strength of the correlation can be measured using a correlation coefficient, which ranges from -1 to 1. A correlation coefficient of 1 indicates a perfect positive correlation, while a correlation coefficient of 0 indicates no correlation.

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The equation of motion we will use is

Where

v is the final velocity

u is the initial velocity

a is the acceleration

t is the time

From the problem, we can figure out that the starting velocity, u, is 20. The time, t, is 40. The final velocity, v, will be 0.

Substituting, let's figure out acceleration, a :

The acceleration is negative because it is deceleration.

Answer:

294

Step-by-step explanation:

7/3=2.33333333333

126*2.33333333333=294

{\_/}

( •-•)

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Bunny holding cash and hope this helps

Answer:

Step-by-step explanation:

Answer:

16 full rotations

Step-by-step explanation:

If the radius is 1 foot, cirumference is what we need to get in order to figure out how many rotations are necessary.

Circumference = 2 pi r

\(2 * \pi * r = 6.28\\100 / 6.28 = 15.92\)

The regression line can be used to estimate the duration of a typical dive for king penguins.

In a study of king penguins, a regression line is used to establish a relationship between two variables, such as dive duration and another factor of interest. By fitting the data to a regression line, we can estimate the typical dive duration for king penguins based on the values of the independent variable.

To estimate the duration of a typical dive, we would need the specific data points and the equation of the regression line derived from the study. The regression line provides an approximation of the average relationship between the variables. By inputting the relevant independent variable (such as time of day, water temperature, or prey availability) into the regression equation, we can obtain an estimated duration for a typical dive.

It's important to note that the accuracy of the estimation depends on the quality and representativeness of the data used to establish the regression line. Additionally, regression models assume a linear relationship between the variables, which may not always hold true in complex scenarios. Nonetheless, regression analysis serves as a valuable tool for estimating and predicting values based on the observed relationship between variables.

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The probability of randomly drawing four balls numbered 4 , 5 , 7 , and 3 without replacement, in that order: 0.0012

Here, the numbers of balls from 1 to 7 = 7

The probability of ramdomly choosing a ball numbered 4 is:

p₁ = 1/7

Now there are 6 balls in the bucket..

The probability of ramdomly choosing a ball numbered 5 is:

p₂ = 1/6

Now the number of balls in the bucket = 5

The probability of ramdomly choosing a ball numbered 7 is:

p₃ = 1/5

Now there are 4 balls in the bucket..

The probability of ramdomly choosing a ball numbered 3 is:

p₄ = 1/4

Then, the probability of randomly drawing four balls numbered 4 , 5 , 7 , and 3 without replacement, in that order:

P = p₁ × p₂ × p₃ × p₄

P = 1/7× 1/6 × 1/5 × 1/4

P = 0.0012

Therefore, the required probability is 0.0012

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The number that comes immediately before 4099 in the sequence is 2051.

You can get this by using the rule given: "double the last number and then subtract 3"

4099/2-3 = 2049

The correct statement(s) are:

C. All exothermic reactions have a negative free energy change.

Let's analyze each statement to determine which one(s) are correct:

A. For an exothermic reaction, sum DeltaH (ts) < sum DeltaHf (reactants).

This statement is incorrect. In an exothermic reaction, the sum of the enthalpy changes of the products (DeltaH) will be negative, indicating the release of heat. The sum of the enthalpy changes of the reactants (DeltaHf) may or may not be negative, depending on the specific reactants involved.

B. DeltaHf of CO2(g) is the same as the Delta H comb of carbon graphite.

This statement is incorrect. DeltaHf (standard enthalpy of formation) refers to the enthalpy change when one mole of a compound is formed from its constituent elements in their standard states. The Delta H comb (standard enthalpy of combustion) refers to the enthalpy change when one mole of a substance undergoes complete combustion. The enthalpy change for the formation of CO2 from carbon graphite is different from the enthalpy change for the combustion of carbon graphite.

C. All exothermic reactions have a negative free energy change.

This statement is correct. In an exothermic reaction, heat is released, indicating a decrease in the system's internal energy. Since the free energy change (Delta G) is related to the system's internal energy change (Delta U) and the change in entropy (Delta S) through the equation Delta G = Delta H - T * Delta S, a negative Delta H (exothermic) will result in a negative Delta G if the temperature (T) remains constant.

D. For the reaction N2(g) + O2(g) -> 2NO(g), the heat at constant pressure and the heat at constant volume at a given temperature are the same.

This statement is incorrect. The heat at constant pressure (q_p) and the heat at constant volume (q_v) are not the same for a given reaction. The heat at constant pressure (q_p) considers the enthalpy change (Delta H) of the reaction and is measured under constant pressure conditions. On the other hand, the heat at constant volume (q_v) corresponds to the internal energy change (Delta U) and is measured under constant volume conditions. These two quantities are generally different unless there are no non-expansion work terms involved.

In summary, the correct statement(s) are:

C. All exothermic reactions have a negative free energy change.

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The diameter of the given circle with a circumference of 28.6 centimeters is approximately 9.11 cm.

The circumference of a circle is given by the simple formula: C = πd, where C is the circumference, π is the constant pi and d is the diameter of the circle.

Given that the circumference of the circle is 28.6 cm, we can use the formula to find the diameter:

28.6 = πd

d = 28.6/π

Using 3.14 as an approximation for π, we get:

d ≈ 28.6/3.14 ≈ 9.11

Therefore, the diameter of the circle is approximately 9.11 cm.

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The first model of inequality satisfy the problem i.e 2w + 2* 4w ≤ 106

A rectangle is a four-sided, two-dimensional flat shape. The opposite sides of a rectangle's four sides are parallel and equal to one another. It belongs to a category of quadrilaterals where each of the four angles is a straight angle or measures 90 degrees. A particular kind of parallelogram that has all of its angles equal is the rectangle. A square is a rectangle with four equally sized sides. Let's now explore the characteristics of the rectangle in this essay.

Rectangles' essential characteristics are as follows:

A rectangle is a parallelogram.

The Perimeter of the rectangle is 2a + 2b where a and b are the two sides

Now , if w is the width of the rectangle then, the length is 4w given in problem.

Perimeter,

2w + 2* 4w

As it is given in the problem

2w + 2* 4w ≤ 106

The first model of inequality satisfy the problem.

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Answer:

3- 0.14   2- 841

Step-by-step explanation:

3- 0.7*0.2=0.14

2- 56/2= 28

   28*28+29*29= 841*841

   square root of 841*841= 841

Answer:

Pi is used to find the area and circumference of a circle. Pi can be used to find an area by multiplying the radius of the circle squared times pi.

Step-by-step explanation:

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Answer:

A conditional statement is considered true when the antecedent and consequent are both true or if the antecedent is false. When the antecedent is false, then the truth value of the consequent does not matter; the conditional will always be true.

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Using substitution method, the cost of hotel per night is $ 85

Let hotel cost per night = x

Let car rental per day = y

4x + 2y = 500 ____(1)

4x + 5y = 740 ____(2)

Solving for x in the equation

Equation (1) - (2)

-3y = - 240

y = 80

Substitute the value of y in (1)

4x + 2(80) = 500

4x + 160 = 500

4x = 500-160

4x = 340

x = $85

Therefore, hotel cost per night is $85

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Answer: The sequence has a common difference of 3, since each term is 3 more than the previous one. To find the 22nd term, we can use the formula for the nth term of an arithmetic sequence:

a_n = a_1 + (n-1)d

where a_1 is the first term, d is the common difference, and n is the term number we want to find.

In this case, we have:

a_1 = 1 (the first term)

d = 3 (the common difference)

n = 22 (the term number we want to find)

Substituting these values into the formula, we get:

a_22 = 1 + (22-1)3

= 1 + 21*3

= 64

Therefore, the 22nd term is 64.

Using the formula for the nth term, we can also check that the sequence up to the 22nd term is:

1, 4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34, 37, 40, 43, 46, 49, 52, 55, 58, 61, 64.

Step-by-step explanation:

Answer:

Here is an actual answer.

(2x + z)(x + 2.5).

Step-by-step explanation:

In general, a quadratic equation in standard form is: ax2 + bx + c and other stuff I forget.Therefore, from 2x2 - bx -20, we obtain: (2x + z)(x + 2.5).

To find the number of different phone numbers that can be created with exactly three 8s, we need to consider the possible positions of the 8s within the number.

Let's break it down step by step:

1. Determine the total number of positions in the phone number:
  - Phone numbers typically have 10 digits (0-9).
  - Since we can start the number with 0, we have 11 possible positions (including the first digit).

2. Choose the positions for the three 8s:
  - We need to select 3 positions out of the 11 available positions.
  - This can be calculated using combinations. The number of combinations of selecting 3 positions out of 11 is denoted as "11 choose 3" or C(11,3).
  - The formula for combinations is: C(n, r) = n! / (r! * (n-r)!), where n is the total number of positions and r is the number of positions we need to choose.
  - Substituting the values, C(11,3) = 11! / (3! * (11-3)!)

3. Calculate the number of phone numbers:
  - Once we have the number of combinations, we need to calculate the number of phone numbers that can be created.
  - For each of the selected positions for the 8s, we have 10 choices (0-9) for the remaining digits.
  - So, the total number of phone numbers that can be created is the product of the number of combinations and the number of choices for each position: C(11,3) * 10^8

Let's calculate the number of different phone numbers:

C(11,3) = 11! / (3! * 8!) = (11 * 10 * 9) / (3 * 2 * 1) = 165

Number of phone numbers = C(11,3) * 10^8 = 165 * 10^8 = 1,650,000,000

Therefore, under the given conditions, there are 1,650,000,000 different phone numbers that can be created with exactly three 8s.

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Answer:

Question 1: Calculate the coordinates of 2 points. You know that the value of the Y coordinate in a point is 4 times the value of the x in the same point. Once you figure out the points, put them on the graph and draw a straight line through them with a ruler.

Question 2: What number do you multiply 5 by to get 12? You multiply that same number by the 375 to get the value in the corresponding row. That's called proportion.

Question 3: You can find the proportion between the two values (distance and energy). Its how many times bigger (or smaller) the values are in relation to each other. You can use this proportion for the scale of the graph so that the location of points are easier understood in relation to each other and discernable all by your eye.

answer =-51/2,-11/2,-5.025,-✓25

-✓25=-5

-11/2=-5.5

-51/2=-25.5

-5.025

The solution for the equation is x = 65.

Equation is a physical and mathematical statement that describing physical sonoma nadigai the relationship between different physical quantity typically consist of pramod variable richard simple representing physical quantity and then it personal variable maybe point it such as  that your energy.

This can be determined by solving the equation for x one step at a time.

First, 3 = 5 can be solved by subtracting 3 from both sides,

thus yielding

x = 2.

Then,

5 = 13 can be solved by subtracting 5 from both sides,

thus yielding

x = 8.

Finally,

13 = 65 can be solved by subtracting 13 from both sides,

thus yielding

x = 65. This is the final answer to the equation.

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Answer:

its x=3



Step-by-step explanation:

first x 2/3 to both sides than solve for x

The net present value of the project is $56,105.26.

The project being evaluated in this case is the purchase of a computer that has an economic life of 5 years. The computer has a purchase cost of $410,000 and a salvage value of $74,000.

It is proposed that this purchase will eliminate the need for five employees, which in turn will result in a reduction of salaries paid to employees worth $119,000.

The working capital that would be released as a result of this purchase is $94,000. The corporate tax rate that will be used for the evaluation of this project is 24%.

The cost of capital of the company is 14%.The cash outflow at the beginning of the project is equal to the purchase price of the computer, which is $410,000.

The reduction in salary expense is an annual cash inflow that will last for the duration of the project.

This inflow is equal to $119,000 per year. Since the computer purchase will result in a reduction in working capital, it will result in an immediate cash inflow equal to $94,000.

The annual depreciation expense is equal to the purchase price of the computer, divided by the economic life of the computer.

Therefore, the annual depreciation expense is $82,000 per year. At the end of five years, the computer will have a salvage value of $74,000. This will result in a cash inflow at the end of the project, which is equal to the salvage value of the computer.

The net cash inflows from the project will be calculated by subtracting the cash outflow at the beginning of the project from the present value of all cash inflows. Since the discount rate is 14%, we will use this rate to discount the cash inflows.

The present value of each cash inflow is calculated as the cash inflow, divided by (1+discount rate)^number of years in the future.

For example, the present value of the $119,000 annual salary savings is equal to $119,000/(1+14%)^1 = $104,385.96.

The net present value of the project is the sum of the present values of all cash inflows, minus the cash outflow at the beginning of the project.

In this case, the net present value of the project is $56,105.26.

This is a positive net present value, which means that the project is expected to generate a return greater than the cost of capital.

Therefore, the company should proceed with the purchase of the computer. The NPV method is used to evaluate investment projects. It involves the calculation of the present value of all cash inflows from a project, minus the cash outflows.

If the net present value is positive, then the project should be undertaken. If the net present value is negative, then the project should be rejected.

The decision to accept or reject a project depends on the net present value, which is a measure of the profitability of the project.

The net present value of the project is $56,105.26. This is a positive net present value, which means that the project is expected to generate a return greater than the cost of capital. Therefore, the company should proceed with the purchase of the computer.

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The values of P and a that will make f(x)=Pa^x to be an exponential growth function is; A P = 1²; a = 2

The general formula for exponential growth function is;

y = a(b)ˣ

When a is a positive value and 'b' is the base greater than 1,

In order to represent exponential growth, a must be a positive number larger than 1.  If a is a fraction less than 1, we are basically taking a percent (less than 100) of the number and this will make it smaller, which would the become a decay function.  If a is a negative, the values would alternate between positive and negative.

The only option where a is a positive number larger than 1 is P = 1²; a = 2

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The scatterplot with the least squares line provides insights into the relationship between average annual global surface temperature and the years from 2000 to 2015, allowing us to assess trends, strength of correlation, and make predictions within certain limitations.

The scatterplot represents the relationship between the average annual global surface temperature, in degrees Celsius, and the corresponding years from 2000 to 2015. The line drawn on the plot is the least squares line, which is the best fit line that minimizes the overall distance between the observed data points and the line.

The least squares line is determined using a statistical method called linear regression. It calculates the equation of a straight line that represents the trend in the data. This line serves as a mathematical model to estimate the average temperature based on the year.

By analyzing the scatterplot and the least squares line, we can make several observations. Firstly, we can see whether the temperature has been increasing, decreasing, or remaining relatively stable over the given years. If the slope of the line is positive, it indicates a positive correlation, implying that the temperature has been increasing. Conversely, a negative slope suggests a decreasing trend.

Additionally, we can evaluate the strength of the relationship between temperature and time by examining how closely the data points cluster around the line. If the points are closely grouped around the line, it suggests a strong correlation, indicating that the line is a good representation of the data. On the other hand, if the points are more scattered, the correlation may be weaker.

Furthermore, the line can be used to predict the average annual global surface temperature for future years beyond the data range of 2000 to 2015. However, it's important to note that such predictions should be made with caution and considering other factors that may affect global temperatures, such as climate change and natural variability.

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Question

The given scatterplot shows the average annual global surface temperature, in degrees celsius, for each year from 2000 to 2015. the line drawn is the least squares line for the data set.

Answer:

i finished on the other question yw

Step-by-step explanation:

also not sure if you wanted the values for n

edit:

7. n/2 = 16

8. 2n + 4 = 52

9. 2(n + 5) = 17

10. 3n - 12 = 5

Answer:

7. 32

8. 24

9. 3.5

10. 5.6

Step-by-step explanation:

7. write the equation: n/2=16. Cross multiply.

8. write the equation: 52= 4+2n. Move 4 to the other side and subtract from 52: 48= 2n. Divide both sides by 2.

9. write the equation: 2(5+n)=17. Use the distributive property. Move 10 to the other side and subtract from 17: 2n=7. Divide both sides by 2.

10. write the equation 3n-12=5. move -12 over and add to 5: 3n=17. Divide both sides by 3.

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