Jonathan is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The monthly fee to be a member is $25 and the total cost of membership, including the joining fee, would be $300 for 8 months. Write an equation for c in terms of t representing the total cost of the gym membership over t months.

The marginal density g(v) of Y can be found by integrating the joint density function f(x,y) over all possible values of X for a fixed value v of Y.

g(v) = ∫f(x,v) dx

The joint density function f(x,y) = 15y for \(x^{2}\) ≤ y ≤ x, and 0 otherwise.

So, for a fixed value v of Y, the range of possible values of X is from \(-\sqrt{v}\) to v.

by simplifying expression,

\(g(v) = 15v - 15v^{\frac{3}{2} }\)

So, the expression for the marginal density of Y is \(g(v) = 15v - 15v^{\frac{3}{2} }\) for v in the range from 0 to 1.

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The value of IQR is 90 when box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290.

Given that,

For box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290

We have to find the data of IQR.

We know that,

IQR is define as the variation in the distribution of your data's middle quartile is measured by the interquartile range (IQR). It is the range that corresponds to your sample's middle 50%. Measure the variability where the majority of your numbers are by using the IQR.

IQR Formula is Q₃ - Q₁

So,

Q₃ = 290

Q₁ = 200

Then ,

IQR = Q₃ - Q₁

IQR = 290 - 200

IQR = 90

Therefore, The value of IQR is 90.

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Answer:

Mia will need a fence that is 9.22 meters long.

Step-by-step explanation:

Answer:

If the square root is not a perfect square, then an approximation of the root often makes more sense in the context of the problem. For real-world problems, you would want an approximation, so you have an estimate of the length you are looking at.

Step-by-step explanation:

edg 2022

the combinations that work are "A" and "B" as they both equal to 80

Answer:

Step-by-step explanation:

the appropriate null and alternative hypotheses's are something

Answer:

2.5

Step-by-step explanation:

5 divided by 2 equals 2.5

Answer:

63

Step-by-step explanation:

9(7+9) = 63 +81

Answer:

Hi your answer is 144 i don't how i got but it is 144

In the first problem, the partial differential equation is given as ∂^2u/∂x^2 = 1/2 ∂u/∂t, with boundary conditions u(0,t) = u (3,t) = 0 and initial condition u(x,0) = 5 sin 4πx-3 sin2πx+1/2 sin πx.

This is a wave equation with non-homogeneous initial condition and homogeneous boundary conditions. The solution can be obtained using separation of variables and applying the appropriate boundary conditions. The general solution will be a linear combination of sine and cosine functions with coefficients determined by the initial condition.

In the second problem, the partial differential equation is given as Utt-Uxx = 0, with boundary conditions u(0,t) = u(π,t) = 0 and initial conditions u(x,0) = 1 and ut(x,0) = 0.

This is a wave equation with homogeneous boundary conditions and non-homogeneous initial conditions. The solution can be obtained using the method of characteristics, where the solution is expressed in terms of a function of the characteristic variables.

The general solution will be a linear combination of two functions, one dependent on x+ct and the other dependent on x-ct, where c is the speed of the wave. The coefficients will be determined by the initial conditions.

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No, a fraction is not a term. The distributive property can be applied to fractions because it is a general mathematical principle.

A fraction is not considered a term in the traditional sense. It is a mathematical expression that represents division. However, the distributive property can still be applied to fractions because the property itself is a fundamental rule of arithmetic that extends beyond specific types of expressions.

The distributive property states that for any real numbers a, b, and c:

a × (b + c) = (a × b) + (a × c).

When working with fractions, we can apply the distributive property as follows:

Let's consider the expression: a × (b/c).

We can rewrite this as: (a × b)/c.

Now, let's distribute the 'a' to 'b' and 'c':

(a × b)/c = (a/c) × b.

In this step, we applied the distributive property to the fraction (a/c) by treating it as a whole.

Although fractions represent division, we can still use the distributive property because it is a general mathematical principle that allows for manipulating expressions involving addition, subtraction, multiplication, and division.

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Answer:

7/2

Step-by-step explanation:

y/x   = rise / run  = slope of the line

Pick two convenient integer coordinate points , say 00  and   2,7

   slope =   (7-0) / ( 2-0)  = 7/2

Answer:

yes; the next number is 3(n+1)

Step-by-step explanation:

Answer:

Yes, 3(n+1)

Step-by-step explanation:

Please listen to your teachers lessons lol.

9514 1404 393

Answer:

Step-by-step explanation:

1. The parentheses are gone and the factor outside parentheses has multiplied each term inside parentheses. The distributive property says you can do that.

__

2. 12+2 has been replaced by 14, and 2-20 has been replaced by -18. This is the result when you combine like terms.

__

3. 3x has disappeared from the left side, and the x-term on the right has been reduced by 3x from 5x to 2x. This is the result of subtracting 3x from both sides of the equation. The subtraction property of equality says you can do that. (Note that subtracting 3x is the same as adding -3x.)

__

4. -18 has disappeared from the right side, and the constant on the left has been increased by 18 from 14 to 32. This is the result of adding 18 to both sides of the equation. The addition property of equality says you can do that.

__

5. Both sides of the equation are 1/2 of what they previously were. This is the result of dividing both sides of the equation by 2. The division property of equality says you can do that (provided the divisor is not zero.)

Answer:

if four number are added together their sum is divided by four

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Yes, a logarithmic function is the inverse of an exponential function.

An exponential function is of the form f(x) = aˣ where 'a' is the base and 'x' is the exponent. The exponential function represents exponential growth or decay.

A logarithmic function is an exponential function's inverse. A logarithmic function is of the form g(x) = logₐ(x), where 'a' is the base and 'x' is the argument. The logarithmic function represents the power to which the base 'a' must be raised to obtain the value 'x'.

When an exponential function and its inverse logarithmic function are composed together, they "cancel out" each other, returning the original input. Similarly, when a logarithmic function and its inverse exponential function are composed together, they also "cancel out" each other, returning the original input.

Therefore, an exponential function and its inverse logarithmic function are mathematically related as inverse functions.

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The ship is 4.5 miles from buoy C.

We can use the Pythagorean Theorem to find the distance between the ship and buoy C. The triangle formed by points A, B, and C is a right triangle, with legs of length 3 miles and 4 miles. The hypotenuse of this triangle is 5 miles, so the distance between the ship and buoy C is $\sqrt{5^2 - 3^2} = \sqrt{16} = 4$ miles.

To find the distance between the ship and buoy C, we can use the Pythagorean Theorem on triangle $ACD$. We know that $AC = 3$ miles, $CD = 4$ miles, and $\angle ACD = 30^\circ$. Since $\angle ACD$ is a 30-60-90 triangle, we know that $AD = \frac{AC\sqrt{3}}{2} = \frac{3\sqrt{3}}{2}$ miles.

Now, we can use the Pythagorean Theorem on triangle $ABD$ to find $BD$. We know that $AB = 5$ miles and $AD = \frac{3\sqrt{3}}{2}$ miles. Plugging these values into the Pythagorean Theorem, we get:

BD^2 = 5^2 - \left(\frac{3\sqrt{3}}{2}\right)^2 = 25 - \frac{27}{4} = \frac{9}{4}

Taking the square root of both sides, we get:

BD = \sqrt{\frac{9}{4}} = \frac{3\sqrt{2}}{2} \approx 4.5 \text{ miles

Therefore, the ship is 4.5 miles from buoy C.

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Answer:

\(\frac{4}{90}\)

Step-by-step explanation:

\(\frac{4}{9}\)  - \(\frac{4}{10}\)

to subtract the fractions we require them to have a common denominator

the LCM of 9 and 10 is 90

= = \(\frac{4(10)}{9(10)}\) - \(\frac{4(9)}{10(9)}\)

= \(\frac{40}{90}\) - \(\frac{36}{90}\)

= \(\frac{40-36}{90}\)

= \(\frac{4}{90}\)

The center of the circle is (3, 7) and the radius of the circle is 17 units.

To find the center and radius of a circle in the complex plane, we can use the midpoint formula and the distance formula.

The midpoint formula states that the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is given by the coordinates ((x1 + x2)/2, (y1 + y2)/2).

Using the given endpoints, we can find the coordinates of the center of the circle:

Center = ((-12 + 18)/2, (-1 + 15)/2) = (6/2, 14/2) = (3, 7)

Next, we can find the radius of the circle using the distance formula. The distance formula states that the distance between two points (x1, y1) and (x2, y2) is given by the formula sqrt((x2 - x1)^2 + (y2 - y1)^2).

Using the coordinates of the center (3, 7) and one of the endpoints (-12, -1), we can calculate the radius:

Radius = sqrt((3 - (-12))^2 + (7 - (-1))^2) = sqrt((3 + 12)^2 + (7 + 1)^2) = sqrt(15^2 + 8^2) = sqrt(225 + 64) = sqrt(289) = 17

Therefore, the center of the circle is (3, 7) and the radius of the circle is 17 units.

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The true statements from the options provided are:

A. The product Ax is defined as a linear combination of columns of A with the corresponding entries of x as weights.

D. The product Ax is a vector in \(R^n\).

E. Ax is a vector whose ith entry is the sum of the products of the corresponding entries from row i of A and the vector x.

A linear combination in mathematics is an expression created from a group of terms by multiplying each component by a constant and combining the results (for example, an expression of the form axe + by, where a and b are constants, would be a linear combination of x and y).

The true statements from the options provided are:

A. The product Ax is defined as a linear combination of columns of A with the corresponding entries of x as weights.

D. The product Ax is a vector in \(R^n\).

E. Ax is a vector whose ith entry is the sum of the products of the corresponding entries from row i of A and the vector x.

These statements accurately describe properties and definitions related to matrix-vector multiplication. The product Ax is obtained by taking a linear combination of the columns of A, where the entries of x act as weights. The resulting product Ax is a vector in \(R^n\), and its entries are calculated by summing the products of the corresponding entries from row i of A and the vector x.

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Answer:

A. 281.25-525a=2.75s

Step-by-step explanation:

The equations that could represent the relationship between the number of students, s, the number of adults, a, and the dollar amount received at the game is 281.25 – 5.25a = 2.75s

Answer:

13/3

Step-by-step explanation:

on edug

Answer:

the answer is 13/3

Step-by-step explanation:

did the assignment look below for proof

hope this helps :)

Answer:

x=5 is the answers for the question

Step-by-step explanation:

please mark me as brainlest and follow me

Answer:

5

Step-by-step explanation:

Solve the equation for X step by step.

16 = 4x - 4

add 4 to each side

16 + 4 = 4x - 4 + 4    which simplifies to  20 = 4x

divide each side by 4

20/4 = 4x/4  which then simplifies to 5 = x

Answer:

3) Angle plus the angle will be the sum of the line making it 180 degrees.

4) X being the missing variable number to solve the final product of 180 with both angles missing a variable number. With angle 1 being 11x-6 and angle 2 being 4x+21

5) This is the after work when 11x and 4x was combined giving 15x and 21 and -6 combined giving 15 which combines both angles helping to find the sum in which will be 180

6) The after work, after 180 was subtracted with 15 giving it 165

7) The after work, after 165 was divided by 15 giving it 11, with 11 being the missing value of x

Step-by-step explanation:

Answer:

the first and last one

Step-by-step explanation:

3*3*3/3*3*3*3*3

3^3

The approximate Z-score for this recruit is b. 0.18.

The mean of the head sizes (circumference) of new recruits in the armed forces can be approximated by a normal distribution with a mean 22.8 inches and standard deviation of 1.1 inches. The head size of a recruit was found to be 23 inches.

The approximate Z-score for this recruit. The formula for Z-score is given by:

\(Z=\frac{X-\mu}{\sigma}\)

where X is the head size of the recruit, μ is the mean head size of recruits, and σ is the standard deviation of head sizes of recruits. Substituting the given values in the above formula, we get,

Z=(23-22.8)(1.1)

Z=0.2/1.1

Z \(\approx\) 0.18

Thus, the approximate Z-score for this recruit is b. 0.18.

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Answer:

The total weight is 1593 lbs.

Step-by-step explanation:

177*9 = 1593

The fudge machines on being decreased by factor of 2 will require 44 hours.

As there is decrease in the number of working machine by factor of 2, the time required will double. So, the number of working machines = 6/2

Performing division on Right Hand Side of the equation

Number of working machines = 3

Amount of time required by fudge machines = 22 × 2

Performing multiplication on Right Hand Side of the equation

Amount of time required by fudge machines = 44 hours

Thus, 44 hours will be required to fill the order.

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The complete question is -

All the fudge machines at a chocolate factory work at the same rate. Six machines working simultaneously can complete a big order in 22 hours.

a

How many hours would it take to fill the order if the number of working machines decreased by factor of 2?

Answer:

Let s be the speed of the plane. Then s - 100 is the speed of the car.

640/s = 240/(s - 100)

640(s - 100) = 240s

8(s - 100) = 3s

8s - 800 = 3s

5s = 800, so s = 160 mph

The speed of the plane is 160 mph, and the speed of the car is 60 mph.

One product/service that is currently in the decline stage is DVD rentals. The decline can be attributed to the rapid rise of digital streaming platforms and the decreasing popularity of physical media. Companies competing in a declining market have strategic options such as harvesting and divesting. Harvesting involves maximizing profits from the declining product/service by reducing costs and maintaining a loyal customer base, while divesting involves exiting the market and reallocating resources to more profitable ventures.

DVD rentals are in the decline stage of the product lifecycle due to several factors. The advent of digital streaming platforms like Netflix, Hulu, and Amazon Prime Video has revolutionized the way people consume media. The convenience and vast content libraries offered by these platforms have led to a significant decline in DVD rentals. Moreover, the proliferation of high-speed internet connections and the increasing availability of streaming devices have made it easier for consumers to access digital content.

In a declining market, companies have strategic options to consider. One option is harvesting, which involves maximizing profits from the declining product/service. Companies can achieve this by reducing costs associated with production, distribution, and marketing, as the demand for the product/service diminishes. They may also focus on retaining their loyal customer base by providing incentives, discounts, or exclusive offers. For example, DVD rental companies may lower rental fees, offer bundle deals, or introduce loyalty programs to retain their remaining customers.

Another strategic option is divesting, which involves exiting the declining market altogether. Companies may choose to reallocate their resources to more profitable ventures or invest in emerging technologies or industries. In the case of DVD rentals, companies could divest by shutting down physical rental stores and selling off their DVD inventory. They could then shift their focus to digital streaming services or invest in other areas with growth potential, such as content production or streaming device manufacturing.

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By using Trapezoid Rule to approximate the value of the definite integral  is 7.0313.

closest option to this answer is C. 7.0313.

To use the Trapezoid Rule to approximate the definite integral:

\(\int _0^2 x^4 dx\)

with n = 4, we first need to partition the interval [0, 2] into subintervals of equal width:

[0, 0.5], [0.5, 1], [1, 1.5], [1.5, 2]

The width of each subinterval is:

Δx = (2 - 0) / 4 = 0.5

Next, we use the formula for the Trapezoid Rule:

\(\int _a^b f(x) dx \approx \Delta x/2 * [f(a) + 2f(a+ \Delta x) + 2f(a+2 \Delta x) + ... + 2f(b- \Delta x) + f(b)]\)

Plugging in the values, we get:

\(\int _0^2 x^4 dx \approx 0.5/2 * [f(0) + 2f(0.5) + 2f(1) + 2f(1.5) + f(2)]\)

where\(f(x) = x^4\)

\(f(0) = 0^4 = 0\)

\(f(0.5) = (0.5)^4 = 0.0625\)

\(f(1) = 1^4 = 1\)

\(f(1.5) = (1.5)^4 = 5.0625\)

\(f(2) = 2^4 = 16\)

Plugging these values into the formula, we get:

\(\int _0^2 x^4 dx \approx 0.5/2 \times [0 + 2(0.0625) + 2(1) + 2(5.0625) + 16]\)

\(\int _0^2 x^4 dx \approx 7.03125\)

Rounding to four decimal places, we get:

7.0313

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To use the Trapezoid Rule to approximate the definite integral integral^2_0 x^4 dx with n = 4, we first need to divide the interval [0,2] into n subintervals of equal width. The approximation of the definite integral using the Trapezoid Rule with n = 4 is 6.5625 (option D).

[0, 0.5], [0.5, 1], [1, 1.5], [1.5, 2]

The width of each subinterval is h = (2-0)/4 = 0.5.

Next, we need to approximate the area under the curve in each subinterval using trapezoids. The formula for the area of a trapezoid is:

Area = (base1 + base2) * height / 2

Using this formula, we can calculate the area of each trapezoid:

Area1 = (f(0) + f(0.5)) * h / 2 = (0^4 + 0.5^4) * 0.5 / 2 = 0.01953
Area2 = (f(0.5) + f(1)) * h / 2 = (0.5^4 + 1^4) * 0.5 / 2 = 0.16406
Area3 = (f(1) + f(1.5)) * h / 2 = (1^4 + 1.5^4) * 0.5 / 2 = 0.64063
Area4 = (f(1.5) + f(2)) * h / 2 = (1.5^4 + 2^4) * 0.5 / 2 = 4.65625

Note that we are using the function f(x) = x^4 to calculate the values of f at the endpoints of each subinterval.

Finally, we can add up the areas of all the trapezoids to get an approximation of the definite integral:

Approximation = Area1 + Area2 + Area3 + Area4 = 0.01953 + 0.16406 + 0.64063 + 4.65625 = 5.48047

Rounding this to four decimal places gives us the answer B. 5.7813.

To use the Trapezoid Rule to approximate the value of the definite integral integral^2_0 x^4 dx with n = 4 and round your answer to four decimal places, follow these steps:

1. Divide the interval [0, 2] into 4 equal parts: Δx = (2 - 0)/4 = 0.5.
2. Calculate the function values at each endpoint: f(0), f(0.5), f(1), f(1.5), and f(2).
3. Apply the Trapezoid Rule formula: (Δx/2) * [f(0) + 2f(0.5) + 2f(1) + 2f(1.5) + f(2)].

Plugging in the function values, we get:
(0.5/2) * [0 + 2(0.5^4) + 2(1^4) + 2(1.5^4) + (2^4)] ≈ 6.5625.

So, the approximation of the definite integral using the Trapezoid Rule with n = 4 is 6.5625 (option D).

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