2. If marginal cost is given by dq cost function. = 0.05q²-√ and fixed costs are $ 7000, determine the total

Answer:

Hamburger

Step-by-step explanation:

That food item is the most voted item.

The values of r are : r = [-1 ± √3]/4 and the function y = e^{rx} satisfies the given differential equation for these values.

Given differential equation is : 2y" + y' - y = 0

We need to find for what values of r, the function y = e^{rx} satisfies the given differential equation.

Given differential equation is : 2y" + y' - y = 0

Let y = e^{rx} , theny' = re^{rx} and y" = r²e^{rx}

Put these values in the given differential equation2y" + y' - y = 02(r²e^{rx}) + r(e^{rx}) - e^{rx} = 0

Divide throughout by e^{rx} to get the characteristic equation2r² + r - 1 = 0

Solving the above quadratic equation using the quadratic formula, we get the roots as

r = [-1 ± √3]/4

If r = [-1 + √3]/4, then

y = e^{rx} = e^{[-1 + √3]x/4} satisfies the given differential equation.

If r = [-1 - √3]/4, then

y = e^{rx} = e^{[-1 - √3]x/4} satisfies the given differential equation.

Hence, the values of r are : r = [-1 ± √3]/4 and the function y = e^{rx} satisfies the given differential equation for these values.

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Answer:

60 and 90

Step-by-step explanation:

The amount of tears in the room (ttt) can be defined as a function of the number of people present (PPP), the number of chopped onions (OOO), and the deliciousness of the onions (DDD) using the following formula:

ttt = f(PPP, OOO, DDD)

In this function, the variables PPP, OOO, and DDD represent the number of people, the number of chopped onions, and the deliciousness of the onions, respectively. The function f() incorporates these variables to determine the amount of tears in the room. The specific form of the function would depend on the relationship between these variables and how they contribute to the generation of tears.

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Answer:

Interest rates is equal to 23%

Answer:

c

Step-by-step explanation:

square them both and add them then square root that answer

Answer:

C. d=15t

Step-by-step explanation:

it is C because you get the equivalent from the t and that t is the number 1 so 15×1 is 15

More information:

I hope this is able to help you, please feel free to give feedback if necessary :)

To find the surface area of the figure, we need to consider the individual surfaces and add them together.

First, let's identify the surfaces of the figure:

The lateral surface area of the larger prism (excluding the base)

The two bases of the larger prism

The lateral surface area of the smaller prism (excluding the base)

The two bases of the smaller prism

The lateral surface area of a prism is given by the formula: perimeter of the base multiplied by the height.

The bases of the prisms are rectangles, so their areas can be calculated by multiplying the length by the width.

To find the missing prism's surface area, we need to consider that it is a smaller prism nested inside the larger prism. The lateral surface area and bases of the missing prism should also be included.

Once we have calculated the individual surface areas, we add them together to find the total surface area of the figure.

Without specific measurements or dimensions of the figure, it is not possible to provide a numerical answer. Please provide the necessary measurements or dimensions to calculate the surface area.

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Answer:

The baker bought 8 pounds of apples and 4 pounds of bananas.

Step-by-step explanation:

a+b=12.

0.75a+1.05b=10.20

First, multiply 2 my 10.

75a+105b=1020.

Then multiply 1 by 75.

75a+75b=900.

Then subtract.

75a+105b=1020

75a+75b=900.

75a-75a+105b-75b=1020-900

30b=120

b=4

Substitute into (1)

a+4=12

a=8.

Hope this helps :)

Answer:

One number is 6 and the other number is 4

Step-by-step explanation:

Helping in the name of Jesus.

The number of ways in which the lottery ticket can be chosen are,

999.

Given, a lottery number is of 4 digits

we have to find the number of ways a lottery number can be chosen.

as, we have to choose 4 digits then, each place has 10 choices

so, the number of ways in which the lottery ticket can be chosen are,

10×10×10×10

10000

now, 0000 can not be any lottery number so,

the number of ways in which the lottery ticket can be chosen are,  

1000 - 1 = 999.

Hence, the number of ways in which the lottery ticket can be chosen are,

999.

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Answer:

.

Step-by-step explanation:

.

The scale on the map is of 1 mile: 0.477 inches.

From the question, we have

65 miles - 31 inches

1 mile - x inches

Applying cross multiplication:

65x = 31

x = 31/65

x=0.477

The ratio of inches on a map to feet, miles, or another unit of measurement on the ground is known as the scale.

Scale (map):

The ratio between a distance on a map and its actual distance on the ground is known as the map's scale. Since scale must vary across a map due to the curvature of the Earth's surface, this straightforward idea is made more difficult. This change makes the idea of scale significant in two different ways.

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Answer:

$5

Step-by-step explanation:

The amount it is going up each time is $6, if you multiply the number of hours worked by 6, the difference between all of the answers is $5. Hope this helps!

Answer:

u cant find the area if you dont add a picture or say if the cm is the width or the lenth.

L BOZO

Step-by-step explanation:

Answer:

PLEASE ADD PICTURE OR NOT ANSWER!

Step-by-step explanation:

We don’t know the problem. Pls apply it.

Answer:

x = 9

Step-by-step explanation:

the sum of the 3 angles in the triangle = 180° , that is

45 + 79 + 8x - 16 = 180

8x + 108 = 180 ( subtract 108 from both sides )

8x = 72 ( divide both sides by 8 )

x = 9

Answer:

It is a polynomial, the standard form is -1.6\(x^{2}\)-5x+7, and the degree is 2.

Step-by-step explanation:

1. Polynomials can be positive, negative, a zero, a whole number, decimals, or a fraction.

2. When writing a polynomial in standard form arrange the terms from least degree to greatest degree.

3. In this instance the degree of the polynomial is 2 because the term with the highest degree only has x to the second power.

;)

The amount of money we can make is $0.05.

We have,

P= $710

R= 5.1%

T= 12 year

Compounded Continuously:

A = P\(e^{rt\)

A = 710.00(2.71828\()^{(0.051)(12)\)

A = $1,309.32

Compounded Daily:

A = P(1 + r/n\()^{nt\)

A = 710.00(1 + 0.051/365\()^{(365)(12)\)

A = 710.00(1 + 0.00013972602739726\()^{(4380)\)

A = $1,309.27

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Based on the ratio and the measurement on the scale drawing, Elena's bed's actual measurements are 200 cm by 150cm.

The scale is given as 1 is to 50.

This means that every centimeter on the drawing is 50 actual centimeters for the bed.

The dimensions are:

= 4 x 50 = 200 cm

= 3 x 50 = 150 cm

Remaining part of the question:

The ratio is 1 to 50

In conclusion, the actual measurements are 200 cm by 150 cm.

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The values of the function F(a, b) are :

(a) F(6, 6) = (13, 16)

(b) F(3, 1) = (7, 1)

(c) F(4, 3) = (9, 7)

(d) F(1, 7) = (3, 19)

To find the values of the function F(a, b) for the given ordered pairs, we can substitute the values of a and b into the formula:

F(a, b) = (2a + 1, 3b - 2)

Let's calculate the values:

(a) F(6, 6)

Substituting a = 6 and b = 6 into the formula:

F(6, 6) = (2 * 6 + 1, 3 * 6 - 2)

= (12 + 1, 18 - 2)

= (13, 16)

Therefore, F(6, 6) = (13, 16).

(b) F(3, 1)

Substituting a = 3 and b = 1 into the formula:

F(3, 1) = (2 * 3 + 1, 3 * 1 - 2)

= (6 + 1, 3 - 2)

= (7, 1)

Therefore, F(3, 1) = (7, 1).

(c) F(4, 3)

Substituting a = 4 and b = 3 into the formula:

F(4, 3) = (2 * 4 + 1, 3 * 3 - 2)

= (8 + 1, 9 - 2)

= (9, 7)

Therefore, F(4, 3) = (9, 7).

(d) F(1, 7)

Substituting a = 1 and b = 7 into the formula:

F(1, 7) = (2 * 1 + 1, 3 * 7 - 2)

= (2 + 1, 21 - 2)

= (3, 19)

Therefore, F(1, 7) = (3, 19).

The correct question should be :

Define F : Z ✕ Z → Z ✕ Z as follows:

For every ordered pair (a, b) of integers,

F(a, b) = (2a + 1, 3b − 2).

Find the following :

(a) F(6, 6) =

(b) F(3, 1) =

(c) F(4, 3) =

(d) F(1, 7) =

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The worsening of the residual after a certain number of iterations in GMRES can be caused by ill-conditioning or the presence of an eigenvalue near zero. You can try using preconditioning, adjusting the convergence criteria, or using a different iterative solver to address this issue.

When the residual worsens after a certain number of iterations in GMRES, it is an indication of either the matrix being ill-conditioned or the presence of an eigenvalue near zero.

In the case of Laplace dominated differential equations with high derivatives in both x and y, the resulting matrix can be ill-conditioned, leading to numerical instabilities during the GMRES iteration. This instability can be caused by rounding errors, truncation errors, and/or machine precision.

To address this issue, you can try the following:

Check if the matrix is ill-conditioned using a matrix condition number estimator. If the condition number is large, then the matrix is ill-conditioned and may require preconditioning to stabilize the iterative solver.

Use preconditioning techniques to improve the convergence of GMRES. Preconditioning refers to transforming the original system into a more favorable one for iterative methods. Common preconditioning methods include incomplete LU factorization (ILU), multigrid methods, and domain decomposition methods.

Use a different iterative solver that may be more suitable for the particular characteristics of the matrix, such as BiCGStab or CGNR.

Adjust the convergence criteria of the solver. If the residual begins to worsen after a certain number of iterations, it may be beneficial to stop the solver earlier than usual or to use a different stopping criterion.

Increase the precision of the numerical computations, either by increasing the number of significant digits or by using a higher precision data type.

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The total number of hours Eric worked is 7 3/4 hours.

What is addition in mathematics?

Addition is one of the four basic arithmetic operations in mathematics, along with subtraction, multiplication, and division. Addition is the process of combining two or more quantities or numbers to find their sum, or total. The symbol used to represent addition is the plus sign (+).

For example, if we want to find the sum of 3 and 4, we would write:

3 + 4 = 7

The number 3 and the number 4 are called addends, and the result of the addition operation is called the sum. Addition can involve whole numbers, fractions, decimals, and even negative numbers.

Addition has many applications in mathematics, science, and everyday life. It is used to calculate simple arithmetic problems, such as adding up the cost of items in a shopping cart, as well as more complex calculations, such as adding up the values in a data set or solving equations in algebra.

To find the total number of hours Eric worked in the neighborhood garden, we need to add the number of hours he worked on Monday and Wednesday.

Eric worked 3 1/2 hours on Monday, which can also be written as 7/2 hours.

Eric worked 4 1/4 hours on Wednesday, which can also be written as 17/4 hours.

To add these two amounts, we need to find a common denominator. The smallest number that both 2 and 4 divide into is 4. So we can convert 7/2 to 14/4 by multiplying the numerator and denominator by 2:

7/2 = 14/4

Now we can add the two fractions:

14/4 + 17/4 = 31/4

This is the total number of hours Eric worked in the neighborhood garden, in fraction form. To write it as a mixed number, we can divide the numerator by the denominator:

31 ÷ 4 = 7 with a remainder of 3

So the total number of hours Eric worked is 7 3/4 hours.

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The required inequality would be w > 593 which represents the numbers that beat the school record, where w is the number of rolls of wrapping paper sold.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

We have been that 593 rolls of wrapping paper set the record for the most rolls ever sold at a school fundraiser.

Let w be the number of rolls of wrapping paper sold.

As per the given condition, the required inequality would be as :

⇒ w > 593

Therefore, the required inequality would be w > 593 which represents the numbers that beat the school record.

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In answering the question above, the solution is Zany thus has 1,533.75 expressions pounds more apples than Peter does.

In mathematics, you can multiply, divide, add, or take away. The following is how an expression is put together: Numeric value, expression, and math operator The elements of a mathematical expression include numbers, parameters, and functions. It is feasible to use contrasting words and expressions. Any mathematical statement containing variables, numbers, and a mathematical action between them is known as an expression, often known as an algebraic expression. As an example, the expression 4m + 5 is composed of the expressions 4m and 5, as well as the variable m from the above equation, which are all separated by the mathematical symbol +.

There are 412 bags of apples in all, with 10 apples in each bag, at Zany. Zany thus has a total of:

412 bags multiplied by 10 bags is 4,120 apples.

24,720 ounces is equal to 4,120 apples at 6 ounces each.

16,080 pounds divided by 24,720 ounces is 1,545 pounds.

Peter has a total of three bags of apples, or:

30 apples are equal to 3 bags times 10 bags

Each of Peter's apples weighs 6 ounces, making his total apple weight:

30 apples divided by 6 ounces each equal 180 ounces.

160 ounces / 16 ounces per pound equals 11.25 pounds.

After deducting Peter's weight from Zany's weight, we can determine how many pounds more apples Zany possesses than Peter:

11 pounds less than 1,545 pounds is 1,533.75 pounds.

Zany thus has 1,533.75 pounds more apples than Peter does.

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Answer:

No

Step-by-step explanation:

For a relation to be a function

Each value of x must map to exactly one unique value of y

Here x = 3 → y = 2 and x = 3 → y = - 2

This fact excludes the relation from being a function

We are 99% confident that the true average stance duration among elderly individuals lies within the range of 744.56 ms to 857.44 ms.

To test whether the true average stance duration is larger among elderly individuals than among younger individuals, we can perform a one-tailed independent samples t-test. The null hypothesis (H0)

Using the t-test, we compare the means and standard deviations of the two samples and calculate the test statistic

a) To calculate a 99% confidence interval for the true average stance duration among elderly individuals, we can use the sample mean, sample standard deviation, and the t-distribution.

Given:

Older adults: n = 28, sample mean = 801, sample standard deviation = 117

Using the formula for a confidence interval for the mean, we have:

Margin of error = t * (sample standard deviation / √n)

Since the sample size is relatively large (n > 30), we can use the z-score instead of the t-score for a 99% confidence interval. The critical z-value for a 99% confidence level is approximately 2.576.

Calculating the margin of error:

Margin of error = 2.576 * (117 / √28) ≈ 56.44

The confidence interval is then calculated as:

Confidence interval = (sample mean - margin of error, sample mean + margin of error)

Confidence interval = (801 - 56.44, 801 + 56.44) ≈ (744.56, 857.44)

b) To test whether the true average stance duration is larger among elderly individuals than among younger individuals, we can perform a one-tailed independent samples t-test.

The null hypothesis (H0): The true average stance duration among elderly individuals is equal to or less than the true average stance duration among younger individuals.

The alternative hypothesis (Ha): The true average stance duration among elderly individuals is larger than the true average stance duration among younger individuals.

. With the given data, perform the t-test and obtain the p-value.

c) To construct a 95% confidence interval for the difference in means between older and younger adults, we can use the formula for the confidence interval of the difference in means.

Given:

Older adults: n1 = 28, sample mean1 = 801, sample standard deviation1 = 117

Younger adults: n2 = 16, sample mean2 = 780, sample standard deviation2 = 72

Calculating the standard error of the difference in means:

Standard error = √((s1^2 / n1) + (s2^2 / n2))

Standard error = √((117^2 / 28) + (72^2 / 16)) ≈ 33.89

Using the t-distribution and a 95% confidence level, the critical t-value (with degrees of freedom = n1 + n2 - 2) is approximately 2.048.

Calculating the margin of error:

Margin of error = t * standard error

Margin of error = 2.048 * 33.89 ≈ 69.29

The confidence interval is then calculated as:

Confidence interval = (mean1 - mean2 - margin of error, mean1 - mean2 + margin of error)

Confidence interval = (801 - 780 - 69.29, 801 - 780 + 69.29) ≈ (-48.29, 38.29)

Comparison with part (b): In part (b), we performed a one-tailed test to determine if the true average stance duration among elderly individuals is larger than among younger individuals. In part (c), the 95% confidence interval for the difference in means (-48.29, 38.29) includes zero. This suggests that we do not have sufficient evidence to conclude that the true average stance duration is significantly larger among elderly individuals compared to younger individuals at the 95% confidence level.

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Answer:

x =10

Step-by-step explanation:

3x + 10 = 6x -20

3x - 6x + 10 = -20

-3x + 10 = -20

-3x = -20 -10

-3x = -30

x = -30/-3

x = 10

Check:

3(10) + 10 = 6(10) - 20

30 + 10 = 60 - 20

40 = 40

The transformation from function f(x) to g(x) is a vertical shift of 4 units up.

The transformation from f(x) to g(x) is a vertical shift of 4 units up. This can be seen by comparing

f(x) = |x| to g(x) = |x| + 4

. In other words, the graph of g(x) is 4 units higher than that of f(x), and the x-intercepts of the two functions are 4 units apart.

The transformation from f(x) to g(x) is a vertical shift of 4 units up. This can be seen by comparing the equations of the two functions. The parent function, f(x), is defined as f(x) = |x|, and the transformed function, g(x), is defined as g(x) = |x| + 4. By adding 4 to the parent function, the graph of the transformed function is shifted up 4 units, which is the same as saying it is shifted 4 units in the positive y-direction. This can be seen in the graphs of the two functions, where the x-intercepts of the two functions are 4 units apart. The transformation from f(x) to g(x) is a vertical shift of 4 units up, and it is the same as the transformation of

y = f(x) to y = f(x) + 4.

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Answer:

Step-by-step explanation:

I will help you if you help me look at my question in my profile

Answer:

15-20mile/h

Step-by-step explanation:

d=speed*time

100mile=speed*(5.5 to 6)

100/5.5 to 6=speed

speed= 18.18 to 16.67 mile/h

it is between 15-20mile/h

Answer:

4 +2x

2(2+x)

Step-by-step explanation:

2 + 7x + 3 − 5x − 1

Combine like terms

2+3-1   +7x-5x

4 +2x

We could also factor out a 2

2(2+x)