Joan is thinking of a number. She adds 5 and multiplies it by 4. She then subtracts n of her original number and divides by 20. She wants the answer to always be 1. What is the value of n?​

To approximate the integral ∫2.4 to 2 f(x) dx using Simpson's rule, we divide the interval [2, 2.4] into subintervals and approximate the integral within each subinterval using quadratic polynomials.

Given the data points (x, f(x)) = (2, 0.6931), (2.2, 0.7885), and (2.4, 0.8755), we can use Simpson's rule to approximate the integral.

Step 1: Determine the step size, h.

Since we have three data points, we can divide the interval [2, 2.4] into two subintervals, giving us a step size of h = (2.4 - 2) / 2 = 0.2.

Step 2: Calculate the approximations within each subinterval.

Using Simpson's rule, the integral within each subinterval is given by:

∫f(x)dx ≈ (h/3) * [f(x₀) + 4f(x₁) + f(x₂)]

where x₀, x₁, and x₂ are the data points within each subinterval.

For the first subinterval [2, 2.2]:

∫f(x)dx ≈ (0.2/3) * [f(2) + 4f(2.1) + f(2.2)]

≈ (0.2/3) * [0.6931 + 4(0.7885) + 0.8755]

For the second subinterval [2.2, 2.4]:

∫f(x)dx ≈ (0.2/3) * [f(2.2) + 4f(2.3) + f(2.4)]

≈ (0.2/3) * [0.7885 + 4(0.4545) + 0.8755]

Step 3: Sum up the approximations.

To obtain the approximation of the total integral, we sum up the approximations within each subinterval.

Approximation ≈ (∫f(x)dx in subinterval 1) + (∫f(x)dx in subinterval 2)

Calculating the values, we get the final approximation of the integral ∫2.4 to 2 f(x) dx using Simpson's rule.

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A variable used to model the effect of categorical independent variables in a regression model which generally takes only the value zero or one is called dummy variable.

In this question,

A dummy variable is a numeric variable that represents categorical data, such as gender, race, political affiliation, etc. Each dummy variable represents one category of the explanatory variable and is coded with 1 if the case falls in that category and with 0 if not.

In dummy variables, we don't need to write out separate equation models for each subgroup because they enable us to use a single regression equation to represent multiple groups. It is an artificial variable created to represent an attribute with two or more distinct categories/levels.

A dummy variable can take values either 1 or 0. It can express either a binary variable or a categorical variables. The number of dummy variables we must create is equal to k - 1, where k is the number of different values that the categorical variable can take on.

Hence we can conclude that a variable used to model the effect of categorical independent variables in a regression model which generally takes only the value zero or one is called dummy variable.

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Answer: The centroid is the point of concurrency of the three medians in a triangle. It is the center of mass (center of gravity) and therefore is always located within the triangle.

Perpendicular bisectors: acute/right/obtuse …… ...

Construction: Location of Point of Concurrency

Explanation: The point of concurrency is the point where three or more lines, segments, or rays intersect forming a point. Out of the four namely the Centroid, Incenter, Circumcenter, and Orthocenter, only the Centroid and Incenter is always located inside the triangle.

Centroid: where the medians intersect.

Incenter: where the angle bisectors intersect.

Step-by-step explanation. Hope this helps lol!

Hi there, your answer will be p because the line a goes up and meets With the straight line c and right as they meet you see p which is your answer.

hope this helps!!

Answer:

8%

Step-by-step explanation:

2/25*100

=8%

Step-by-step explanation:

(0.5-2)-1 = -1.5 - 1

= -2

(3+4) -2 = 7 - 2

= 5

(-8+5)+3 = -3+3

= 0

-(0.5-2)+1 = -(-1.5)+1

= +1.5 + 1

= 2.5

-(3+4)+2 = -(7) +2

= -5

-(-8-5) -3 = -(-13) -3

= +13 -3

= 10

A theorem which is used to find the rational solutions of a polynomial equation is known as the rational root theorem.

A polynomial expression is given and after solving them we get the two values known as the roots of the function.

These are also known as the zeros of polynomial as after putting these values in the equation we get the result as 0 .

We should use the rational root theorem only when the value of coefficients are small.

The theorem states that each rational solution x = p ⁄ q, when on simplified satisfies the below mentioned points,

p is an integer factor of the constant term a0, and

q is an integer factor of the leading coefficient an.

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Answer:

Leroy has $1.20 , Aaron has $6.00

Step-by-step explanation:

let Leroy have x , then Aaron has 5x , so

x + 5x = 7.20

6x = 7.20 ( divide both sides by 6 )

x = 1.20

Then

Leroy has $1.20 and Aaron has 5 × $1.20 = $6.00

Answer:

x < -18/5

this is the answer of you problem

The approxiamte value of solution at t=0.1,0.2,0.3, and 0.4 is 1.2,1.37,1.513, 1.6477, b)with h=0.05 is 1.224, 1.383, 1.514, 1.626 c) with h= 0.025 is 1.303, 1.428, 1.533, 1.622.

Let's solve each part of the problem step by step:

a) Initial value problem: y′=3+t−y, y(0)=1

Using the Euler method with h=0.1, we can approximate the values of y at t=0.1, 0.2, 0.3, and 0.4. Let's denote the approximated values as y_0.1, y_0.2, y_0.3, and y_0.4, respectively.

Starting with the initial condition, y_0 = 1, we can calculate the approximations as follows:

At t=0.1:

y_0.1 = y_0 + h * (3 + t_0 - y_0) = 1 + 0.1 * (3 + 0 - 1) = 1.2

At t=0.2:

y_0.2 = y_0.1 + h * (3 + t_0.1 - y_0.1) = 1.2 + 0.1 * (3 + 0.1 - 1.2) = 1.37

At t=0.3:

y_0.3 = y_0.2 + h * (3 + t_0.2 - y_0.2) = 1.37 + 0.1 * (3 + 0.2 - 1.37) = 1.513

At t=0.4:

y_0.4 = y_0.3 + h * (3 + t_0.3 - y_0.3) = 1.513 + 0.1 * (3 + 0.3 - 1.513) = 1.6447

b) Using the same initial value problem with h=0.05:

We repeat the above process with a smaller step size, h=0.05, and obtain the approximated values y_0.1, y_0.2, y_0.3, and y_0.4.

At t=0.1: y_0.1 ≈ 1.224

At t=0.2: y_0.2 ≈ 1.383

At t=0.3: y_0.3 ≈ 1.514

At t=0.4: y_0.4 ≈ 1.626

Comparing the results from part a and part b, we can observe that the approximations obtained with a smaller step size (h=0.05) are closer to the exact values.

c) Using the same initial value problem with h=0.025:

We repeat the process with an even smaller step size, h=0.025, and calculate the approximated values y_0.1, y_0.2, y_0.3, and y_0.4.

At t=0.1: y_0.1 ≈ 1.236

At t=0.2: y_0.2 ≈ 1.393

At t=0.3: y_0.3 ≈ 1.520

At t=0.4: y_0.4 ≈ 1.628

Comparing the results from parts a, b, and c, we can observe that as the step size decreases, the approximations become more accurate and closer to the exact values.

d) Finding the exact solution ϕ(t) of the initial value problem:

To find the exact solution, we can solve the differential equation analytically. Integrating the equation y′=3+t−y, we get:

y = 3t + t^2/2 - 3e^(-t) + C

Using the initial condition y(0) = 1, we substitute t=0 and y=1 into the equation:

1 = 0 + 0 - 3 + C

C = 3

The exact solution of the initial value problem is:

y = 3t + t^2/2 - 3e^(-t) + 3

Evaluating ϕ(t) at t=0.1, 0.2, 0.3, and 0.4:

ϕ(0.1) ≈ 1.303

ϕ(0.2) ≈ 1.428

ϕ(0.3) ≈ 1.533

ϕ(0.4) ≈ 1.622

Comparing the values of ϕ(t) with the results obtained from parts a, b, and c, we can see that the exact solution provides more accurate values than the approximations obtained using the Euler method. As the step size decreases, the Euler method approximations improve and become closer to the exact solution.

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The value of b, the base of the right triangle, is determined as 8 cm. (option E)

The value of c the hypothenuse side, of the right triangle is 6.79 mm. (Option E)

The value of the base of the right triangle b is calculated by applying Pythagoras theorem as follows;

By Pythagoras theorem, we will have the following equation;

b² = 17² - 15²

b² = 64

take the square root of both sides

b = √ 64

b = 8 cm

The value of the hypotenuse of the second diagram is calculated by applying Pythagoras theorem as follows;

c² = 4.7² + 4.9²

c² = 46.1

take the square root of both sides

c = √ ( 46.1 )

c = 6.79 mm

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Answer:

Step-by-step explanation:

4(1/4a+b-6)

*4

1a+4b-24

Answer:

simplified : a+4b-24

Step-by-step explanation:

Do destributative property

Insurance is a contract between an individual or entity (policyholder) and an insurance company, where the policyholder pays a premium in exchange for financial protection against potential risks or losses.

Insurance companies offer various types of insurance, including life insurance, health insurance, property insurance, auto insurance, and more. The second paragraph will provide an explanation of how insurance premiums are fixed and the factors that affect the mathematics behind determining the premium.

Insurance premiums are determined based on several factors and mathematical calculations. Insurance companies assess risks associated with providing coverage and calculate premiums accordingly. The premium amount reflects the probability of an event occurring and the potential financial impact it may have on the insurer.

Factors that affect the mathematics behind fixing an insurance premium include:

Risk Assessment: Insurers evaluate the likelihood and severity of a potential loss based on historical data, statistical models, and actuarial analysis. Factors such as age, health condition, occupation, driving history, and location are assessed to determine the level of risk.

Underwriting Factors: Insurance companies consider specific characteristics of the policyholder, such as their personal profile, lifestyle choices, and claims history. These factors help insurers assess the individual risk level and set appropriate premiums.

Coverage Limits: The extent of coverage and policy limits influence the premium amount. Higher coverage limits or additional coverage options often result in higher premiums.

Deductibles and Copayments: The amount the policyholder agrees to pay out-of-pocket before the insurance coverage kicks in affects the premium. Higher deductibles or copayments can result in lower premiums.

Loss History: Insurance companies consider the policyholder's claims history to gauge the potential for future claims. Individuals with a higher frequency of claims may face higher premiums.

By taking into account these factors and utilizing actuarial techniques, insurers calculate insurance premiums that are commensurate with the level of risk associated with providing coverage, ensuring financial stability for both the policyholders and the insurance company.

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Answer:

C

Step-by-step explanation:

Multiplying 1.6 gets you how far he walks, and then dividing the answer gives you how many times he would be stops, roughly 6.4 times

Answer:

-8

Step-by-step explanation:

-(2*4) = 18, 8^2 is equal to 8*8= 64/-8= -8

The ERD for the described situation would include entities such as county jails, mental health facilities, shelters, hospitals, and a coordinating database. Relationships between these entities would allow for coordination and prediction of the type of assistance individuals may need to reduce their involvement in the justice system.

The ERD for the Miami-Dade County court system's database would include the following entities:

County Jails: Represents the jails within the county system where individuals may be incarcerated.

Mental Health Facilities: Represents the facilities that provide mental health services and support.

Shelters: Represents the shelters that offer temporary housing and assistance to those in need.

Hospitals: Represents the healthcare institutions where individuals receive medical treatment.

Coordinating Database: Represents the central database that coordinates activities and stores information from all the other entities.

The relationships between these entities would be established through appropriate connections:

County Jails to Coordinating Database: This relationship would allow for the exchange of information about individuals in the jail system, including their personal history and involvement in the justice system.

Mental Health Facilities to Coordinating Database: This relationship would facilitate the sharing of information regarding individuals' mental health needs and treatment plans.

Shelters to Coordinating Database: This relationship would enable the coordination of housing services and assistance programs for individuals in the justice system.

Hospitals to Coordinating Database: This relationship would allow for the integration of medical records and healthcare services for individuals involved in the justice system.

These relationships and the information stored in the coordinating database would serve as the foundation for algorithms to predict the type of help individuals might require to reduce their involvement in the justice system.

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Answer:

The answer for the Perimeter of the semi circle is 15.71cm

Step-by-step explanation:

Perimeter of semi circle =perimeter of circle/2

P=2pir/2

P=pir

r=d/2=10/2

r=5cm

P=pir

P=5pi

P=5×3.142

P=15.71cm

Answer:

the answer is 1100

Step-by-step explanation:

you will do... 5500*20/100

The answer is  = |r''(t) x T| = sqrt((cos(t) - sin(t))² + (sin(t) + cos(t))²)/sqrt(2) = sqrt(2)

To find the tangential and normal components of the acceleration vector, we need to first find the velocity and acceleration vectors.

The velocity vector is the derivative of the position vector:

r'(t) = -sin(t)i + cos(t)j + k

The acceleration vector is the derivative of the velocity vector:

r''(t) = -cos(t)i - sin(t)j

Now we need to decompose the acceleration vector into its tangential and normal components.

The tangential component of the acceleration vector is given by:

at = r''(t) · T

where T is the unit tangent vector, which is the unit vector in the direction of the velocity vector:

T = r'(t)/|r'(t)| = (-sin(t)i + cos(t)j + k)/sqrt(2)

So we have:

at = r''(t) · T = (-cos(t)i - sin(t)j) · (-sin(t)i + cos(t)j + k)/sqrt(2) = sin(t)/sqrt(2)

The normal component of the acceleration vector is given by:

an = |r''(t) x T|

where x denotes the cross product. So we have:

r''(t) x T = (-cos(t)i - sin(t)j) x (-sin(t)i + cos(t)j + k)/sqrt(2)

= (cos(t) - sin(t))/sqrt(2) i + (sin(t) + cos(t))/sqrt(2) j

Therefore:

an = |r''(t) x T| = sqrt((cos(t) - sin(t))² + (sin(t) + cos(t))²)/sqrt(2) = sqrt(2)

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The population of Lynn will first exceed 15,000 in January 2022. Hence, the long answer to this question is that the population of Lynn will first exceed 15,000 in January 2022.

Population of Lynn at the end of January 2021 was 11,212. It increases by 322 every month. We want to know in which month the population of Lynn will first exceed 15,000. Therefore, we need to find the number of months it will take to reach that figure. Let the number of months be 'n'.At the end of the nth month, the population of Lynn will be:Population = 11,212 + 322n

To find the month in which the population will first exceed 15,000, we need to solve the following inequality:11,212 + 322n > 15,000Subtracting 11,212 from both sides, we get:322n > 3,788Dividing by 322 on both sides: n > 11.75We know that n must be a whole number. Therefore, the smallest whole number greater than 11.75 is 12.So, it will take 12 months for the population of Lynn to first exceed 15,000.

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Answer:

Option B.

Step-by-step explanation:

The given table is

                          Meat              Not meat         Total

Seafood               16                      31                  47

Not seafood        20                      5                  25

Total                     36                    36                  72

From the given table it is clear that:

Seafood-Meat = 16

Not seafood-Meat = 20

Seafood-not meat = 31

Not seafood- not meat = 5

Total = 72

We need to find the joint relative frequency for mall visitors who like seafood and meat.

Joint relative frequency \(=\dfrac{\text{who like seafood and meat}}{\text{Total}}\)

Joint relative frequency \(=\dfrac{16}{72}\)

Therefore, the correct option is B.

Answer:

The Answer On Edge Is B.), Have Fun Dreamers!

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(\large \boldsymbol {} \sf 2x+4:2=x+2:3 \\\\2x+2=x+\dfrac{2}{3} \\\\2x-x=\dfrac{2}{3} -2 \\\\\boxed{\sf x=-\dfrac{4}{3} =-1 \dfrac{1}{3}}\)

The degree, k, of each vertex in the graph g is 8.

Let's assume that every vertex in g has degree k. Since g is an undirected graph, each edge contributes to the degree of two vertices. Therefore, the sum of degrees of all vertices in g is equal to twice the number of edges in g.

Given that g has exactly 12 edges, the sum of degrees of all vertices is 2 * 12 = 24. Since g has only 3 vertices, the sum of their degrees must be 24.

If we assume that every vertex has degree k, then the sum of the degrees of the 3 vertices is 3k. Therefore, we can set up the equation 3k = 24.

Solving this equation, we find that k = 24 / 3 = 8. So, each vertex in g has a degree of 8.

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\((\stackrel{x_1}{-19}~,~\stackrel{y_1}{17})\hspace{10em} \stackrel{slope}{m} ~=~ - 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{17}=\stackrel{m}{- 1}(x-\stackrel{x_1}{(-19)}) \implies y -17 = - 1 ( x +19) \\\\\\ y-17=-x-19\implies {\Large \begin{array}{llll} y=-x-2 \end{array}}\)

Answer:

y = -x - 2

Step-by-step explanation:

We are given that a line has a slope (m) of -1 and passes through (-19,17).

We want to write the equation of this line in slope-intercept form.

Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y intercept, hence the name

As we are already given the slope of the line, we can plug it into the equation.

Replace m with -1.

y = -1x + b

This can be rewritten to:

y = -x + b

Now, we need to find b.

As the equation passes through (-19,17), we can use its values to help solve for b.

Substitute -19 as x and 17 as y.

17 = -(-19) + b

17 = 19 + b

Subtract 19 from both sides.

-2 = b

Substitute -2 as b into the equation.

y = -x - 2

We can use a diagram to show the backyard:

The length of the diagonal can be gotten using the Pythagorean Theorem given to be:

where c is the length of the hypotenuse and a and b are the other two sides.

Therefore, we can calculate the length of the hypotenuse to be:

The length of the chicken wire fence will be 51 m.

Answer:

Step-by-step explanation:

It depends on how many points the new test was worth but for now, I'll assume it's worth 10% of your grade.  

97*9=873 75*1=75

873+75=948

948/10=94.8 which rounds up to 95

This means your grade will be 95% which is an A.

Good job!

Please give me brainliest

The shape of the barrier is a circle with a diameter of 5 feet. The correct option is the last option - A circle with a diameter of 5 feet

From the question, we are to determine the statement that describes the shape of the barrier

From the given information,

The barrier is 2.5 feet from the tomato plant in every direction.

This can be likened to a circle that has a radius of 2.5 feet.

Recall: Radius of a circle is the distance from the center of the circle to any point on it's circumference

If radius of a circle is 2.5 feet, the diameter will be 2 × 2.5 feet = 5 feet

Hence, the shape of the barrier is a circle with a diameter of 5 feet. The correct option is the last option-  A circle with a diameter of 5 feet

Here is the complete question:

Serena constructed a wire barrier to protect her tomato plant from squirrels. The barrier is 2.5 feet from the tomato plant in every direction. Which statement describes the shape of the barrier?

A circle with a radius of 5 feet

A square with diagonals 5 feet long

A square with sides 5 feet long

A circle with a diameter of 5 feet

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The 2 equations which can be used to solve the given situations of the numbers are:

So, the equations that can be formed are:

Let, Ronan's number be 'x' and '4x' be Kelsey's number.

Now, solve as follows:

Ronan's number be: -2/3

Kelsey's number be: 4 × 2/3 = -8/3

Let, let, Kelsey's number be 'x' and Ronan's number be '3x'.

Now, solve as follows:

Ronan's number be: 72.75

Kelsey's number be: 24.25

Therefore, the 2 equations which can be used to solve the given situations of the numbers are:

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