explain how to calculate the circulation of a vector field on a closed smooth oriented curve.

a. An exponential growth rate equation to represent the cost C₁ of this home is \(C_1 = 250000e^{0.038t}\).

b. An exponential growth rate equation to represent the cost C₂ of this home is \(C_2 = 275000e^{0.022t}\).

c. The time in which each home would reach a price of $320,000 is 6.5 and 6.8 years respectively.

d. The price of the home in the first area is lower.

In Mathematics and Financial accounting, continuous compounding interest can be determined or calculated by using this mathematical equation (formula):

\(A(t) = P_{0}e^{rt}\)

Where:

Part a.

Based on an exponential growth rate of 3.8% in the first area, the cost of this home in t years can be written as follows;

\(A(t) = P_{0}e^{rt}\\\\C_1 = 250000e^{0.038t}\)

Part b.

Based on an exponential growth rate of 2.2% in the second area, the cost of this home in t years can be written as follows;

\(A(t) = P_{0}e^{rt}\\\\C_1 = 275000e^{0.022t}\)

Part c.

At a price of $320,000 for the home, the number of years to reach this price is given by:

\(C_1 = 250000e^{0.038t}\\\\320000 = 250000e^{0.038t}\\\\1.28= e^{0.038t}\)

ln(1.28) = 0.038t

Time, t = 0.24686007793/0.038

Time, t = 6.49 ≈ 6.5 years.

\(C_2 = 275000e^{0.038t}\\\\320000 = 275000e^{0.022t}\\\\1.16= e^{0.022t}\)

ln(1.16) = 0.022t

Time, t = 0.14842000511/0.022

Time, t = 6.75 ≈ 6.8 years.

Part d.

The house with the lower price can be determined as follows;

\(C_1 = 250000e^{0.038 t}\\\\C_1 = 250000e^{0.038\times 3}\)

C₁ = 250,000 × 1.12075212488

C₁ = $280188.03122

\(C_2 = 275000e^{0.038t}\\\\C_2 = 275000e^{0.022 \times 3}\)

C₂ = $293762.347221.

In conclusion, the home in the first area is cheaper.

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Answer:

8.2

Step-by-step explanation:

Area of triangle is calculated by multiplying height to the base and that divided by two

20 × h ÷ 2 = 56^2

h = 5.6

The square length of CD is equal to sum of square length of height and base

6^2 + 5.6^2 = CD^2

CD = 8.2

The number of real solutions of a quadratic equation depends on the sign of the discriminant.We can find discriminant by using discriminant formula.

A real solution in algebra is simply a solution to an equation that is a real number. there can be 0, 1, or 2 solutions to a quadratic equation depending on whether the expression inside the square root sign (b2 - 4ac), is positive, negative, or zero.

When the discriminant value is positive we get two real solutions. When the discriminant value is zero we get one real solution. When the discriminant value is negative we get a pair of complex solutions.

So that we can find real solution of quadratic equation by finding discriminant of given equation.

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Answer:

I don't know

Step-by-step explanation:

Answer:

just 1

Step-by-step explanation:

It is easy, anything with the power of zero just equals to one

Answer:

1

Step-by-step explanation:

any number including 0 having power 0 will be equal to 1

The unit rate is 10 minutes per meters.

What is rate of time?

Time is in units of seconds, minutes, hours, or years. Rate is distance per time, so its units could be mph, meters per second, or inches per year.

rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute.

Given,

she fills 4/5 meters in 8 minutes.

let x be the time she fills minutes per liter.

4/5 meters ⇔ 8 minutes

1 meter ⇔ x minutes

Cross multiplying

4/5*x = 1*8

x = 5*8/4

x = 10 minutes

The unit rate is 10 minutes.

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Answer:

4

Step-by-step explanation:

bc I said so >:D

Answer:

A)5√2

Step-by-step explanation:

√50

√5²×2

√5²√2

5√2

Answer:$9.72

Step-by-step explanation: 48.60 DIVIDED BY 5 EQUALS 9.72

GIVE ME BRAINLEST PLSS

1. Numbers going up in value - Ascending order

2. The number being divided - Dividend

3. Numbers going down in value - Descending order

4. An approximate value close to the actual value - Estimation

5. The number divided by - Divisor

Numbers in ascending order are those in which the value is increasing. Similar to ascending order, descending order refers to numbers whose values are decreasing.

Dividends are numbers that get divided, and divisors are numbers that divide dividends.

It is said that an estimate is the closest value to the actual value or the approximate value.

1. numbers going up in value

2. the number being divided  

3. numbers going down in value  

4. an approximate value close to the actual value

5. the number divided by

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By answering the presented question, we may conclude that The garden equation measurements are not the same as they were when using the scale 1 cm: 8 m.

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the number "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0."  

8x = 32

8y = 48

When we solve for x and y, we get:

x = 4 = 6

Heather sketched the length of the garden as 4 centimetres and the breadth as 6 centimetres using a scale of 1 cm: 8 m.

16x = 32

16y = 48

When we solve for x and y, we get:

x = 2 = 3

The garden measurements are not the same as they were when using the scale 1 cm: 8 m. The dimensions on the drawing are half the size of the measurements on the preceding design when using a reduced scale of 1 cm: 16 m.

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Answer:

h = no solution

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

5h + 10 = 5h + 15

Step 2: Solve for h

Here we see that 10 does not equal 15.

∴ h has no solution.

Final Answer: No Solution

Steps/Reasons:

Step 1: Simplify \(4h + h + 15\) to \(5h + 15\).

\(5h + 10 = 5h + 15\)

Step 2: Cancel \(5h\) from both sides.

\(10 = 15\)

Step 3: Because \(10 = 15\) is false, there is no solution.

No Solution

~I hope I helped :)~

Answer:

equate two simultaneous equations for r and solve

Answer:

x = 1.43

Step-by-step explanation:

14x = 20

x = 20/14

x = 14.3

Answer:

Length = x + 2

Width = x +10

Step-by-step explanation:

\(Area = Length \times Width\)

\(x^2 + 12x +20 = Length \times width\\\\x^2 + 2x + 10x + 20 = Length \times width\\\\x(x+2)+10(x+2) = Length \times width\\\\(x+2)(x+10) =Length \times width\\\)

Length = x + 2

Width = x +10

Answer:

Step-by-step explanation:

Ice sheets have one particularly special property. They allow us to go back in time and to sample accumulation, air temperature and air chemistry from another time[1]. Ice core records allow us to generate continuous reconstructions of past climate, going back at least 800,000 years[2].

Ice coring has been around since the 1950s. Ice cores have been drilled in ice sheets worldwide, but notably in Greenland[3] and Antarctica[4, 5]. High rates of snow accumulation provide excellent time resolution, and bubbles in the ice core preserve actual samples of the world’s ancient atmosphere[6].

Answer:

m=1/4

the slope is 1/4

The function is decaying exponentially at a rate of 85% every year

0.15 is less than 1. This represents decay

Decay rate is 1 - 0.15 = 0.85 = 0.85*100 = 85%

t is given in years

Exponent is t, so it is every year.

The function is decaying exponentially at a rate of 85% every year

Answer:

A

Step-by-step explanation:

4×-12

Answer is letter A

hope it help^^

y−5=(x−3)2

sorry if im wrong i might be!

have a luvly day!

Answer:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

3

,

5

)

Focus:  

(

3

,

21

4

)

Axis of Symmetry:  

x

=

3

Directrix:  

y

=

19

4

x

y

1

9

2

6

3

5

4

6

5

9

Answer:

-2.964

Step-by-step explanation:

To provide the state diagrams for Turing machines that decide the languages L6 and L7, we need to describe the transitions and states that machines will go through.

a) For language L6, a possible state diagram for the Turing machine would involve states for each substring encountered. The initial state would be a start state, and when the machine reads 0, it transitions to a state representing the substring 0. When it reads 1, it transitions to a state representing the substring 01. If it then reads another 1, it transitions to a state representing the substring 011, which is an accepting state. Similarly, when it reads 0 after 01, it transitions to a state representing the substring 0110. If it reads 1 after 0110, it transitions to a state representing the substring 01101, which is another accepting state.

b) For language L7, the Turing machine needs to keep track of the count of 0's and 1's encountered. It can have states such as S0, S1, S2, and S3, representing the number of 0's encountered. The machine starts in state S0, and upon reading 0, it remains in S0 or moves to state S1. Upon reading 1, it moves to state S2. If another 1 is encountered in S2, the machine moves to a non-accepting state S3. If it reads 0 in S1 or S2, it moves back to S0. If it encounters two 1's and no more 0's, it stays in S2. States S1 and S2 are accepting states, and once the machine reaches either of these states, it halts and accepts the input.

Note: The provided descriptions are high-level explanations, and the actual state diagrams might involve more states and transitions depending on the specific implementation of the Turing machine for each language.

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We can fill in the boxes to make each equation complete as follows:

1. x³x⁹ = x¹²

2. x⁷/x³ = x⁴

3. 1/x⁻⁵ = x⁵

4. (7b³c⁵)³ = 343b⁹c¹⁵

To solve the exponents as provided above, the rules have to be factored in. One of the rules is that when multiplying exponents of the same base, we simply add their powers together. So, we have the powers of 3 and 9 for the first expression and they add up to 12.

1. x³x⁹ = x³ ⁺ ⁹ = x¹²

For the second expression, the rule of exponents says that when dividing, we will subtract the powers. This gives us x⁴ for the second expression.

2. x⁷/x³ = x⁷ ⁻ ³ = x⁴

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Answer:

I'd say congruent. I hope it helps

10 procent

Step-by-step explanation:

150 / 150 = 10

Answer:10%

Step-by-step explanation:

Answer:

1) 48

2)44

Step-by-step explanation:

Answer:  48 44 Are The Correct Answers

Step-by-step explanation:Hope This Helps

Step-by-step explanation:

Given

Opp=8

Adj=6

Hyp=10

Answer

1)Sin<A=Opp/Hyp

8/10=4/5... Yes

2)Cos<A=Opp/Adj

8/6=4/3... No

Given

Opp=6

Adj= 8

Hyp= 10

Answer

1)Sin<B= Opp/Hyp

6/10=3/5... No

2)Cos<B= Opp/Adj

6/8=3/4... No

Hope this helps ❤❤❤

The required production rate is 600 units per week, assuming an 8-hour workday and a 5-day workweek.

To calculate the production rate, we need to determine the total time required to produce 600 units within a week. Given the standard times for each operation, we can sum them up to find the total time per unit.

Total time per unit = Time for operation a + Time for operation b + Time for operation c + Time for operation d + Time for operation e

= 8.92 minutes + 5.25 minutes + 14.27 minutes + 1.58 minutes + 7.53 minutes

= 37.55 minutes per unit

To find the production rate, we divide the available working time in a week by the total time per unit:

Production rate = (Available working time per week) / (Total time per unit)

Assuming an 8-hour workday and a 5-day workweek, the available working time per week is:

Available working time per week = (8 hours/day) * (5 days/week) * (60 minutes/hour)

= 2400 minutes per week

Now we can calculate the production rate:

Production rate = 2400 minutes per week / 37.55 minutes per unit

≈ 63.94 units per week

Therefore, the assembly process can achieve a production rate of approximately 63 units per week, which falls short of the required rate of 600 units per week. This indicates that adjustments to the process, such as reducing the standard times or increasing efficiency, may be necessary to meet the desired production target.

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There is no point between the two charges at which the electric potential is zero.

Given that, Charge Q1= -7.24 × 10^−9C

Charge Q2= 3.35 × 10^−9C

Distance between Q1 and Q2, d= 0.84m

Electric potential due to the charges is given by,V = kQ / r

Where V is the electric potential, k is the Coulomb constant, Q is the charge and r is the distance between the charges.

At point x0, electric potential due to Q1 and Q2 is given by:

V = kQ1 / x0 + kQ2 / (d - x0)

The total electric potential should be zero.

Therefore, kQ1 / x0 + kQ2 / (d - x0) = 0

Let's simplify the equation by removing the constant k:

kQ1 / x0 + kQ2 / (d - x0) = 0Q1 / x0

= -Q2 / (d - x0)

Solving for x0 we get,

x0 = dQ1 / (Q1 + Q2)

= (0.84m)(-7.24 × 10^−9C) / [(-7.24 × 10^−9C) + (3.35 × 10^−9C)]x0

= -3.18 m

Therefore, the electric potential due to these charges is equal to zero at the point 3.18 m from Q1 or 0.84 - 3.18 = -2.34 m from Q2.

However, this answer does not make any physical sense as it is not possible to have a point at a negative distance from the charge.

Therefore, there is no point between the two charges at which the electric potential is zero.

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Answer:true

Step-by-step explanation: