समानार्थी शब्द लिखित। 1) धनिक:। 2) भृतय: ।​

Answer:

this is the solution

The area of the largest possible Norman window with a perimeter of 34 feet is approximately 13.108 square feet.

What is the area of the rectangle?

If the rectangle has a length of 'l' and the breadth of 'b', then the area of the rectangle is computed by

  Area = l * b

Let's call the width of the rectangle "w" and the height of the rectangle "h". The perimeter of the Norman window is given by:

P = 2w + πw/2 + 2h = 2w + (π/2)w + 2h

Since we want to maximize the area, we need to express the area of the window in terms of just one variable (either "w" or "h"). The area of the window is given by:

A = (1/2)π(w/2)² + wh = (π/8)w² + wh

Now we can use the perimeter equation to solve for one of the variables in terms of the other, substitute it into the area equation, and then find the maximum value using calculus. Alternatively, we can use the perimeter equation to solve for one of the variables and then use the fact that the area is maximized when the window is a square (i.e., w = h). Let's use the second approach:

From the perimeter equation, we have:

2w + (π/2)w + 2h = 34

Simplifying and solving for h, we get:

h = (17 - w - (π/4)w)/2

Substituting this expression for "h" into the area equation, we get:

A = (π/8)w² + w[(17 - w - (π/4)w)/2]

Simplifying, we get:

A = (-π/8)w²+ (17/2)w - (1/4)(w²)

To find the maximum area, we can take the derivative of this expression with respect to "w", set it equal to zero, and solve for "w". Alternatively, we can complete the square to find the vertex of the parabola. Let's use the second approach:

A = (-π/8)(w² - (17/π)w) = (-π/8)(w - (17/(2π)))² + (289π/64)

Therefore, the maximum area occurs when:

w = 17/(2π)

Substituting this value of "w" back into the expression for "h", we get:

h = (17 - w - (π/4)w)/2 = (17 - 17/(2π) - (π/4)(17/(2π)))/2 = (17/2π) - (17/(8π))

Therefore, the maximum area of the Norman window is given by:

A = (π/8)(17/(2π))² + (17/(2π))[17/2π - 17/(8π)] = 4.25 + (289/32π)

Hence, the area of the largest possible Norman window with a perimeter of 34 feet is approximately 13.108 square feet.

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\( \tt \dfrac{1}{10} \times 315\)

31.5 <---- Ans

Answer:

31.5

Step-by-step explanation

If you divide something by 10 you move the decimal over one place to the left.

315.0 / 10 = 31.5

Given statement solution is :- Mathematical models are extremely valuable tools in various fields, including chemistry, biology, and physics. They offer several advantages: Simplification and abstraction, Prediction and simulation, Cost and time efficiency, Insight and understanding.

Mathematical models are extremely valuable tools in various fields, including chemistry, biology, and physics. They offer several advantages:

Simplification and abstraction: Mathematical models allow complex systems or processes to be represented using simplified mathematical equations or algorithms. This simplification helps in understanding the underlying principles and relationships of the system, making it easier to analyze and predict outcomes.

Prediction and simulation: Models enable scientists to make predictions about the behavior of a system under different conditions. They can simulate scenarios that are difficult or impossible to observe in the real world, allowing researchers to explore various hypotheses and make informed decisions.

Cost and time efficiency: Models can be used to explore different scenarios and test hypotheses in a relatively quick and cost-effective manner compared to conducting real-world experiments. They can help guide experimental design by providing insights into the most relevant variables and parameters.

Insight and understanding: Mathematical models often reveal underlying patterns and relationships that may not be immediately apparent from experimental data alone. They provide a framework for organizing and interpreting data, leading to a deeper understanding of the system being studied.

However, mathematical models also have limitations and potential disadvantages:

Simplifying assumptions: Models are based on assumptions and simplifications, which may not fully capture the complexity of the real-world system. If these assumptions are incorrect or oversimplified, the model's predictions may be inaccurate or misleading.

Uncertainty and error: Models are subject to uncertainties and errors stemming from the inherent variability of the system, limitations in data availability or quality, and simplifying assumptions. It is crucial to assess and communicate the uncertainties associated with model predictions.

Validation and verification: Models need to be validated and verified against experimental data to ensure their accuracy and reliability. This process requires rigorous testing and comparison to real-world observations, which can be challenging and time-consuming.

Mathematical models are closely linked to the fields of chemistry, biology, and physics, providing valuable insights and predictions in these disciplines. Here are some examples:

Chemistry: Mathematical models are used to study chemical reactions, reaction kinetics, and molecular dynamics. One example is the use of rate equations to model the kinetics of a chemical reaction, such as the reaction between reactants A and B to form product C.

Biology: Mathematical models play a crucial role in understanding biological systems, such as population dynamics, gene regulation, and the spread of infectious diseases. For instance, epidemiological models like the SIR (Susceptible-Infectious-Recovered) model are used to simulate and predict the spread of diseases within a population.

Physics: Mathematical models are fundamental in physics to describe physical phenomena and predict outcomes. One well-known example is Newton's laws of motion, which can be mathematically modeled to predict the motion of objects under the influence of forces.

Quantum mechanics: Mathematical models, such as Schrödinger's equation, are used to describe the behavior of particles at the quantum level, providing insights into atomic and molecular structures and the behavior of subatomic particles.

Fluid dynamics: Mathematical models, such as the Navier-Stokes equations, are employed to study the behavior of fluids, including airflow, water flow, and weather patterns.

These examples demonstrate the wide range of applications for mathematical models in understanding, predicting, and simulating various phenomena in the fields of chemistry, biology, and physics.

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AngIe 1 is cοngruent οr equaI tο AngIe 2.

The term "cοngruent" refers tο having the same size, shape, and οrientatiοn. In geοmetry, twο shapes are cοnsidered cοngruent if they have the same size and shape and can be transfοrmed intο each οther by sοme cοmbinatiοn οf transIatiοn, rοtatiοn, and refIectiοn Fοr exampIe, twο triangIes are cοngruent if aII cοrrespοnding sides and angIes are equaI. If twο shapes are cοngruent, they are essentiaIIy identicaI and can be superimpοsed withοut οverIapping οr gaps.

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Complete question:

Write a two-column proof given Angle 1 is congruent or equal to angle 2. How to prove Segment AB is congruent or equal to segment CB.

Answer:

1.5r + 7 ≤ 30

Step-by-step explanation:

r = rides rode (that's sounds weird but funny lol)

Admission costs $7. Each ride costs $1.50, so the money he spends has to be less than or equal to $30

Answer:

my guy its up to u too lmaaooo. like how u forgot to put the picture up, that was up to u.✌️

Step-by-step explanation:

but i bet the answer is c cuz it always is yk

i think the answer is 9

Step-by-step explanation:

step 1. simplify both sides of the equation

step 2. add 17 to both sides

step 3. multiply both sides by 3

answer a =9

Answer:

17     34

24    58

31     89

38    127

45    172

52    224

59    283

62    345

69    414

76    490

83    573

Step-by-step explanation:

Filling up the chart, you will get 227 at the 15 score mark. (You can just continuously add)

Then at the final answer you add the results to total pushups you get 573.

There is a faster way to do this using a formula, but probably will go over your head.

Answer:

21°

Step-by-step explanation:

In an sosceles trapezoid, the lower base and upper base angles are congurent

⇒ ∠HGF = ∠EFG

⇒ 9y + 3 = 8y + 5

⇒ 9y - 8y = 5 - 3

⇒ y = 2

⇒ ∠HGF = 9(2) + 3

= 18 + 3

= 21

The measure of angle HGF in the given isosceles trapezoid EFGH is calculated to be 21 degrees.

This problem deals with the properties of an isosceles trapezoid, which is a type of quadrilateral. In an isosceles trapezoid, opposite angles are equal. In this case, angle EFG and angle HGF would be equal to each other given the shape is an isosceles trapezoid. So, their measures should be equal.

Here, the measure of angle HGF is given as (9y + 3)°, and the measure of angle EFG is (8y + 5)°. Setting these equal to each other to find the value of y, we get 9y + 3 = 8y + 5. By simplifying, we get the value of y is 2. Substituting the found value of y in angle HGF we get, 9*2+3 = 21 degrees.

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Answer:

B=11.5x5

Step-by-step explanation:

5 people pay $11.50 to get a total of B.

To get the total bill, 11.5x5=57.5

B=57.5

The total cost of the bill is $57.50.

The correct option on Hash 1 and Hash 2 is C. Hash 1 is designed to work with small input data, while Hash 2 is optimized for processing large input data.

The main difference between Hash 1 and Hash 2 is the amount of input data they can process. Hash 1 can process input data that is 2 characters long, while Hash 2 can handle input data that is up to 300,000 characters long. This means that Hash 2 is better suited for processing larger datasets than Hash 1.

In terms of which hash function is better suited for different types of data, it depends on the specific application and the characteristics of the data being processed. For example, if the data being hashed is small and of low complexity, Hash 1 may be a good choice due to its speed and simplicity.

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The options for this question include:

3, 4, or 5, I think, but I'm not sure.

240 soldiers were transferred to the other camp. Let's assume the number of soldiers transferred to the other camp is "x." we can solve for the unknown variable representing the number of soldiers transferred.

Initially, the food provision was planned for 800 soldiers for 35 days. This means that the total food supply is equal to 800 soldiers multiplied by 35 days, which gives us a total of 28,000 soldier-days of food.

After some soldiers were transferred, the remaining soldiers had enough food to last for 50 days. So the food supply for the remaining soldiers can be calculated as the product of the number of remaining soldiers and the number of days, which gives us (800 - x) * 50 soldier-days of food.

Since the amount of food remains the same, we can set up the following equation:

\(28,000 = (800 - x) * 50\)

Now, let's solve this equation to find the value of x, representing the number of soldiers transferred to the other camp:

\(28,000 = 50 * 800 - 50x28,000 = 40,000 - 50x50x = 40,000 - 28,00050x = 12,000x = 12,000 / 50x = 240\)

By setting up the equation based on the total food supply for the initial and remaining soldiers, we can solve for the unknown variable representing the number of soldiers transferred. In this case, 240 soldiers were transferred to the other camp.

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Step-by-step explanation:

7! = 5040 ways

Therefore , the solution of the given problem of angles comes out to be  M∠R measured at 45.4 degrees, to the closest tenth.

The intersection of the lines that form a skew's ends determines the size of its biggest and smallest walls. There's a possibility that two paths will intersect at a junction. Angle is another outcome of two things interacting. They mirror dihedral forms the most. A two-dimensional curve can be created by placing two line beams in various configurations between their ends.

Here,

To determine the size of angle R in triangular PQR, we can apply the Law of Cosines:

=> cos(R) = (PQ₂ + PR₂ - QR₂) / (2 * PQ * PR)

=>  cos(R) = (5.4₂ + 6.2₂ - 3.6₂) / (2 * 5.4 * 6.2)

=>  cos(R) = 0.6960917

When we calculate the inverse cosine of both sides, we obtain:

=>  R = cos⁻¹(0.6960917)

=>  R equals 45.4 degrees

Angle R in triangle PQR is therefore measured at 45.4 degrees, to the closest tenth.

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The number of degrees below zero is given by A = 56° F

Regardless of the sign, a modulus function returns the magnitude of a number. The absolute value function is another name for it.

It always gives a non-negative value of any number or variable. Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.

The value of the modulus function is always non-negative. If f(x) is a modulus function , then we have:

If x is positive, then f(x) = x

If x = 0, then f(x) = 0

If x < 0, then f(x) = -x

Given data ,

Let the initial temperature be represented as T

Let the number of degrees below zero be A

Now , the value of T is

T = -56° F

From the modulus function , we get

The value of the modulus function is always non-negative.

So , the measure of A = | T |

A = | -56 |

A = 56° F

Hence , the number of degrees below zero is 56° F

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Answer: f(8) = 620.6

Step-by-step explanation:

To solve, you must first use substitution, and replace the x value in the given function, with 8.

\(f(8)=\frac{750}{1 + 74e^{-0.734(8)} }\)

Next you follow PEMDAS to solve the rest of the equation to find f(8).

What is PEMDAS?

PEMDAS is the order of operations for mathematical expressions involving more than one operation.

You solve in the following order

In this case our next step is deal with the exponents.

And by doing so, you will be multiplying -0.734 by 8

\(f(8)=\frac{750}{1 + 74e^{-5.872} }\)

And typical with exponents we would raise the number or variable given to the power of the exponent.

However we have a continuous number in this case, which is e.

What is e?

e is a mathematical constant approximately equal to 2.71828

We can now use a calculator to find what e (2.71....) is when raise to the exponent -5.872. Which results to 0.002817 (0.0028172332293320237716146943697).

When continuing to use numbers in calculators, don't use the rounded or shortened of the full number. Make sure to use the all of the numbers (given in the calculator) to its full extent to maintain accuracy.

\(f(8)=\frac{750}{1 + 74(0.002817) }\)

Now multiply 74 and 0.002817.... (use the full number to multiply (0.0028172332293320237716146943697)). The product is (0.2084752589705697590994873833578).

\(f(8)=\frac{750}{1 + 0.2084 }\)

Now lets add 1 + 0.2084.... and you get 1.2084

\(f(8)=\frac{750}{1.2084 }\)

Last you need to divide:

and you get that

f(8) = 620.6167

Now lets go back to the question, and we see that is says for you to round your answer to the nearest tenth.

so your final answer is:

f(8) = 620.6

Answer:

Domain: (−∞,∞),{x|x∈R}

Step-by-step explanation:

the domain will be Domain: (−∞,∞),{x|x∈R} because

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Answer: Option C: (−∞,∞)

Step-by-step explanation:

answer is for plato

The tangent line at that point is:

y = (-3/25)*x + 6/5

so m = -3/25, and b = 6/5

To find the slope at that point, we need to evaluate the derivative at that point.

y = 3/x

The derivative is:

y' = -3/x²

When x = 5, we have:

y' = -3/5² = -3/25

So that is the slope, m.

Now let's find the line.

The line must pass trhough the point (5, 3/5), then:

3/5 = (-3/25)*5 + b

3/5 = -3/5 + b

3/5 + 3/5 = b

6/5 = b

The equation of the line is:

y = (-3/25)*x + 6/5

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The Reflexive Property is a property of equality that states that anything is equal to itself. This property is true for numbers, shapes, angles, and more.

In the context of geometry, the Reflexive Property of Congruence states that any geometric figure is congruent to itself. This includes angles, segments, triangles, and other polygons.

So, when you see "<J ≅ <J", it's saying that angle J is congruent to angle J, which is an application of the Reflexive Property. In other words, any angle is congruent (equal in measure) to itself.

The velocity of the ball when it returns to the ground is -8 m/s

An equation is an expression composed of variables and numbers linked together by mathematical operations.

The distance of a ball thrown upward is given by:

h(t) = -2t² + 12t - 10

The ball hits ground when h(t) = 0, hence:

-2t² + 12t - 10 = 0

t = 5 or 1

The velocity (V) of the ball is:

V = dh/dt

V = (d/dt)(-2t² + 12t - 10) = -4t + 12

V = -4t + 12

The ball hits ground when t = 5 or 1 s, hence:

V(1) = -4(1) + 12 = 8 m/s

V(5) = -4(5) + 12 = -8

The velocity on the ground is -8 m/s

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Answer: x=241/144

Step-by-step explanation:......

Answer:

x= 2.88194 or x= 2 127/144

Step-by-step explanation:

I put your question into a math calculator and got this for the answer. Good luck!

Answer:

So the number of ways of choosing two distinct letters at a time is (42)=6. We can then add the duplicate pairs which are O,O and N,N to give a total of 8 possible pairs.

Answer:

15

Step-by-step explanation:

There are 6 letters in the word number

This is 6 choose 2

This is a combination

The formula is 6! / ( 2! * (6-2)! )

                           6! / 2! 4!

                           (6*5*4*3*2*1) / ( 2*1 *  4*3*2*1)

Canceling like factors

                             (6*5) / ( 2*1)

                              30/2

                                 15

There are 15 possible ways to have 6 choose 2

There are 120 different combinations of 3 programmers that can be chosen to transfer to the new department

From the question, we have

Total number of programmers, n = 10

Numbers to programmers to select, r = 3

The number of ways of selection could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 10 and r = 3

Substitute the known values in the above equation

Total = ¹⁰C₃

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 10!/(7! * 3!)

Evaluate

Total = 120

Hence, the number of ways is 120

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Answer: To find the selling price of the house, we can use the formula for the present value of an annuity:

PV = A * ((1 - (1 + r)^-n) / r)

Where:

PV = Present Value

A = Annuity payment per period

r = Interest rate per period

n = Total number of periods

In this case, the annuity payment is $525 per month, the interest rate is 7.8% per year compounded monthly (which is equivalent to a monthly interest rate of 7.8% / 12 = 0.65%), and the total number of periods is 30 years * 12 months/year = 360 months.

Using these values, we can calculate the present value of the annuity:

PV = 525 * ((1 - (1 + 0.0065)^-360) / 0.0065)

PV = 525 * 162.577

PV = $85,192.25

So the selling price of the house was $85,192.25 + $25,000 down payment = $110,192.25.

To calculate the total interest paid over 30 years, we can subtract the total payments from the selling price:

Total payments = $525/month * 360 months = $189,000

Total interest paid = $189,000 - $110,192.25 = $78,807.75

Therefore, the friends will pay $78,807.75 in interest over 30 years.

Step-by-step explanation:

Step-by-step explanation:

It's C

I hope it helped:)