which line on the graph below has a slope of 0?​

Answer:

we should solve it or what should we do...

Step-by-step explanation:

1. 35.7/0.07=510

2. 486.12/0.6=810.2 approximately 810

3. 3.43/0.035=98

4. 5418.54/0.009=602,060

5. 812.5/1.25=650

6. 17.343/36.9=0.47 approximately 1

Answer:

22

Step-by-step explanation:

You add up the value of each X and you get a final answer of 22. Have a great day!

The percentage increase in the working hours will be 4.9%.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

Since in 2019 the average full time worker in the us spent 8.5 hours working each workday. this is an increase on the average of 8.1 hours per workday in 2014.

The percentage increase will be:

= (8.5 - 8.1) / 8.1 × 100

= 0.4 / 8.1 × 100

= 4.9%

Learn more about percentages on

brainly.com/question/24877689

#SPJ1

The given functions ψ = 2xy and φ = x^2 - y^2 satisfy the conditions for continuity and irrotational flow.

To show continuity, we need to verify that the partial derivatives of ψ and φ with respect to x and y are equal. Let's calculate these partial derivatives:

∂ψ/∂x = 2y

∂ψ/∂y = 2x

∂φ/∂x = 2x

∂φ/∂y = -2y

From the above calculations, we can see that the partial derivatives of ψ and φ with respect to x and y are equal. Therefore, the condition for continuity, which requires the equality of partial derivatives, is satisfied.

To show irrotational flow, we need to verify that the curl of the velocity vector is zero. The velocity vector can be obtained from the stream function ψ and velocity potential φ as follows:

V = ∇φ x ∇ψ

Taking the curl of V:

∇ x V = ∇ x (∇φ x ∇ψ)

Using vector calculus identities and simplifying the expression, we find:

∇ x V = 0

Since the curl of the velocity vector is zero, the condition for irrotational flow is satisfied.

Therefore, based on the calculations and verifications, we can conclude that the given functions ψ = 2xy and φ = x^2 - y^2 satisfy the conditions for continuity and irrotational flow.

Learn more about functions here:

https://brainly.com/question/30721594

#SPJ11

Answer:

the first gets =90birr

the second gets =120birr

the third gets =150birr

90+120+150=360birr

I hope you got your answer.

Answer: 20

Step-by-step explanation:

Given

The cost of an individual ticket is $25

The cost of a couple's ticket is $40

The total sale is $2500

total ticket sold is 70

Suppose there are x individuals and y couples

\(\therefore x+y=70\quad \ldots(i)\\\\25x+40y=2500\quad \ldots(ii)\\\text{Solving }(i)\ \text{and}\ (ii)\ \text{we get}\)

\(x=20,y=50\)

So, they sold 20 tickets of the individual.

a) The size of each payment = $8718.4

b) The the total amount paid for the purchase = $204620.8

c) The total interest paid over the life of the loan = $104620.8

In this question we have been given that a man buys a house for $175,000. He makes a $75,000 down payment and amortizes the rest of the debt with semiannual payment sover the next 10 years. The interest rate on the debt is 12%, compounded semiannually.

We need to find the size of each payment, the total amount paid for the purchase and the total interest paid over the life of the loan.

From given data we get 175,000 - 75,000 = $100,000 amount to finance.

We know that the formula for semiannual payment of a loan,

C = PV/[1 - (1 + r)^-t / r]

Here, PV = $100,000

t = 20 (10 years times 2 payment per year)

r = 0.06 (12% annual. so, we divide by 2 to get semiannual)

So, C = 100,000/[1 - (1 + 0.06)^-20 / 0.06]

C =  100,000/[0.6882 / 0.06]

C = 100,000/11.47

C = $8718.4

The total interest paid will be the cuota times the time of the loan:

Total interest paid:

8718.4 x 12 = 104620.8

And the total amount paid over the life of the loan = 104620.8 + 100,000

                                                                                    = $204620.8

The interest will be the difference between the total amount paid and the principal of the loan

Therefore, Interest paid = $8718.4

total payment   = $204620.8

principal = $100,000

Interest expense = $104620.8

Learn more about the interest here:

https://brainly.com/question/13739112

#SPJ4

Based on the given informations, the change in y as t changes from 1 to 6 is approximately 3.870. Therefore the correct option is (A).

To find the change in y as t changes from 1 to 6, we need to integrate the given function with respect to t over the interval [1, 6] and then find the difference between the values of the integral at the two endpoints.

∫₁⁶ 6e\(.^{(-0.08(t-5)^2)}\)  dt

We can use the substitution u = t - 5 to simplify the integral:

∫₋₄¹ 6e\(.^{(-0.08u^2)}\)  du

Unfortunately, there is no closed-form solution for this integral. We can use numerical integration methods, such as Simpson's rule or the trapezoidal rule, to approximate the integral. Using Simpson's rule with a step size of 1, we get:

∫₋₄¹ 6e\(.^{(-0.08u^2)}\) du ≈ 3.870

Therefore, the change in y as t changes from 1 to 6 is approximately 3.870, which corresponds to option (A).

Learn more about integration :

https://brainly.com/question/18125359

#SPJ4

Answer: x= 5

Step-by-step explanation: These angles are vertical angles making them equal to each other. 48 = 7x + 13

Subtract 13 from each side of the equation

35 = 7x

Divide both sides by 7

5 = x

The average of children per household is approximately 2.1387931034482758.

What is average ?

In maths, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

To compute the average number of children per household, you would add up the total number of children in all the surveyed households and divide that number by the total number of households surveyed. You can use the following formula:

Average = (Sum of (children x frequency)) / (Total number of households surveyed)

Children Frequency Children x Frequency

0         2                 0

1         8                 8

2         10                 20

3         4                 12

4         3                 12

5         2                 10

Sum of (children x frequency) = 8 + 20 + 12 + 12 + 10 = 62

Total number of households surveyed = 2 + 8 + 10 + 4 + 3 + 2 = 29

Average = 62 / 29 = 2.1387931034482758

So the average number of children per household is approximately 2.1387931034482758

To learn more about average visit : brainly.com/question/24057012

#SPJ4

Answer:

Here is the ans ...hope it helps:)

Answer:

11, 15

Step-by-step explanation:

If a car costing $35000 loses 20% every year, then the equation to model the situation is V(t) = $35000 × 0.8ᵗ.

The "Exponential-Function" represents a constant ratio of change between two quantities, such as the growth of a population or the decay of a radioactive substance, where the rate of change is proportional to the amount present.

If the value of the car declines exponentially, we can model its value using an exponential function of the form:

⇒ V(t) = V₀ × \(r^{t}\),

where V(t) is = value of car after "t-years", V₀ is = initial value of car, "r" is = rate of decline, and t is = number of years since the car was new.

In this case, we know that the car costs $35000 when it is new,

So, V₀ = $35000.

We also know that the car loses 20% of its value each year, which means that r = 0.8 (because the value is decreasing, the rate of decline is less than 1).

Therefore, the equation that models this situation is : V(t) = $35000 × 0.8ᵗ ,   where t is = number of years since the car was new.

Learn more about Exponential Function here

https://brainly.com/question/15352175

#SPJ1

Answer:

8

Step-by-step explanation:

17² + 15²

289-225 =64

√64 =8

9!

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

2! x 2! x 2!

Answer:

A ratio of 3:1 means that there are 4 parts altogether. The fractions from the ratio can therefore be deduced as. 43 and 41. These represent the percentages: 75%:25%

Answer:

Step-by-step explanation:

The ratio can be converted into a fraction

therefore we can divide by the denominator in order to convert 30 Euros to a 3:1 ratio.

The fraction =3/4 and 1/4

so we have to divide 30 by 4

= 7.5 Euros

so;

3:1

(22.5):(7.5)

(45/2):(15/2)

45:15

divide by 15

3:1

The correct statements are:

a. F(0, 1, 0) = 1

c. F(1, 0, 0) = 0

d. F(0, 0, 0) = 1

e. F(0, 0, 1) = 0

Therefore, options a, c, d, and e are correct.

To determine the correctness of each statement, we can substitute the given values of (x, y, z) into the expression for F(x, y, z) and simplify.

a. F(0, 1, 0) = 0 * 1 * 0 + 0 * (1 * 0)' + 0' + (0 * 1 * 0)'

= 0 + 0 + 1 + (0)'

= 1

b. F(1, 1, 1) = 1 * 1 * 1 + 1 * (1 * 1)' + 1' + (1 * 1 * 1)'

= 1 + 1 + 0 + (1)'

= 1 + 1 + 0 + 0

= 2

c. F(1, 0, 0) = 1 * 0 * 0 + 1 * (0 * 0)' + 1' + (1 * 0 * 0)'

= 0 + 1 + 0 + (0)'

= 1 + 0

= 1

d. F(0, 0, 0) = 0 * 0 * 0 + 0 * (0 * 0)' + 0' + (0 * 0 * 0)'

= 0 + 0 + 1 + (0)'

= 1

e. F(0, 0, 1) = 0 * 0 * 1 + 0 * (0 * 1)' + 0' + (0 * 0 * 1)'

= 0 + 0 + 1 + (0)'

= 1

Know more about expression here:

https://brainly.com/question/14083225

#SPJ11

Step-by-step explanation:

Volume = 1/3 × (10×8) × 6

= 160 in³

Answer:

c = 3.46

Step-by-step explanation:

use tangent to find c

2 tan 60 = c

firstly label the sides

let me know if you need further explanation on how I got my answer

The final simplified expression is:

64x^4√(4x√2) - 8x^4√(2x³).

To simplify the given expression, let's break it down step by step:

Start with the expression: 4x^3√4x² (2^3√32x²-x√2x).

Simplify each square root separately:

√4x² = 2x

√32x² = √(16 * 2x²) = 4x√2

Substitute the simplified square roots back into the expression:

4x^3(2x)(2^3√(4x√2) - x√2x).

Simplify the exponents:

4x^3(2x)(8√(4x√2) - x√2x).

Expand and multiply:

4x^3 * 2x * 8√(4x√2) - 4x^3 * 2x * x√2x.

Simplify the terms:

64x^4√(4x√2) - 8x^4√(2x³).

Combine like terms if possible:

The expression cannot be simplified further as there are no like terms to combine.

Therefore, The last condensed expression is:

64x^4√(4x√2) - 8x^4√(2x³).

for such more question on simplified expression

https://brainly.com/question/27807105

#SPJ8

Answer:

2/5

Step-by-step explanation:

\(\frac{\sqrt[3]{8} }{\sqrt[3]{125} } = \frac{2}{5}\)

Answer:

Step-by-step explanation:

have a blessed day and life

Answer:

f(x) = x² - 14x + 43

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (7, - 6 ) , then

f(x) = a(x - 7)² - 6

Since the parabola opens upwards then a > 0

let a = 1

f(x) = (x - 7)² - 6 ←in vertex form

f(x) = x² - 14x + 49 - 6

f(x) = x² - 14x + 43 ← in standard form

To calculate the Value-at-Risk (VaR) for this investment at a 99% confidence level, we need to determine the loss amount that will be exceeded with a probability of only 1% (i.e., the worst-case loss that will occur with a 1% chance).

Given that there is a 0.5% chance of a loss of $10 million and a 99.5% chance of a loss of $1 million, we can express this as:

Loss Amount | Probability

$10 million | 0.5%

$1 million | 99.5%

To calculate the VaR, we need to find the loss amount that corresponds to the 1% probability threshold. Since the loss of $10 million has a probability of 0.5%, it is less likely to occur than the 1% threshold. Therefore, we can ignore the $10 million loss in this calculation.

The loss of $1 million has a probability of 99.5%, which is higher than the 1% threshold. This means that there is a 1% chance of the loss exceeding $1 million.

Therefore, the Value-at-Risk (VaR) for this investment at a 99% confidence level is $1 million.

The Value-at-Risk (VaR) for this investment at a 99% confidence level is $1,045,000.

To calculate the Value-at-Risk (VaR) for this investment at a 99% confidence level, we need to determine the loss amount that will be exceeded with only a 1% chance.

Given that the investment has a 0.5% chance of a loss of $10 million and a 99.5% chance of a loss of $1 million, we can calculate the VaR as follows:

VaR = (Probability of Loss of $10 million * Amount of Loss of $10 million) + (Probability of Loss of $1 million * Amount of Loss of $1 million)

VaR = (0.005 * $10,000,000) + (0.995 * $1,000,000)

VaR = $50,000 + $995,000

VaR = $1,045,000

Therefore, the Value-at-Risk (VaR) for this investment at a 99% confidence level is $1,045,000.

To learn more about 99% confidence level

https://brainly.com/question/15873157

#SPJ11

8 less than 3 times a number is at most 30 can be written as 8 < 3N ≤ 30

A word problem is a mathematical exercise where significant background information on the problem is presented in ordinary language rather than in mathematical notation

Since 8 less than 3 times a number is at most 30

Let the number be N

Thus, 8 less than 3 times a number is at most 30 can be written as:

8 < 3×N  ≤ 30

8 < 3N ≤ 30

Note: at most means less than or equal (≤)

Learn more about word problems on:

brainly.com/question/1781657

#SPJ1

The given system of equations to have a Unique solution, the value of k must be any real number except 1 (k ≠ 1).

The value of k for which the given system of equations has a unique solution, we can use the concept of determinants. The system of equations is as follows:

kx + 2y = 3   -- (1)

3x + 6y = 10  -- (2)

To have a unique solution, the determinant of the coefficients of x and y must not be zero.

The determinant of the coefficient matrix for the system is:

D = | k   2 |

       | 3   6 |

By calculating the determinant, we have:

D = (k * 6) - (2 * 3)

D = 6k - 6

For the system to have a unique solution, the determinant D must not equal zero.

6k - 6 ≠ 0

Simplifying the inequality:

6k ≠ 6

Dividing both sides by 6:

k ≠ 1

Therefore, for the given system of equations to have a unique solution, the value of k must be any real number except 1 (k ≠ 1).

In other words, if k is not equal to 1, the system of equations will have a unique solution. If k is equal to 1, the system will either have infinitely many solutions or no solution.

For more questions on Unique solution

https://brainly.com/question/30918688

#SPJ8

Adding all the sides we will get that the perimeter is 50 units.

The perimeter of the triangle will be equal to:;

P = JK + KL + LJ

We know that:

JA= 6 units.

JL = 12 units

CK = 13 units

And all the lines are tangent to the circle, that means that:

JL = JK = 12 units.

And KL = 2*CK = 2*13 = 26

Adding these we get:

P = JK + KL + LJ

P = 12 + 12  + 26

P = 24 + 26 = 50

That is the perimeter.

Learn more about perimeter at:

https://brainly.com/question/24571594

#SPJ1

Answer:

i would say f

Step-by-step explanation: