Maximize Q = Xy, Where X And Y Are Positive Numbers Such That X + 8/3y^2=2 The Maximum Value Of Q Is ___ And Occurs At X =__ and y = ___

Answer:

43 I think

Step-by-step explanation:

Answer:

Not sure how you got 114, but SRU is equal to 70, and TRV is equal to 44, so if you do 180-70-44, you will get X which is 66

Step-by-step explanation:

The continuity equation is satisfied and the flow is incompressible.

To check if the continuity equation is satisfied, we need to take the partial derivatives of the stream function with respect to x and y and see if they satisfy the continuity equation

Continuity equation: ∂u/∂x + ∂v/∂y = 0

where u and v are the x and y components of the velocity field, respectively.

From the definition of the stream function, we have

u = ∂Ψ/∂y = -2

v = -∂Ψ/∂x = -(-2) = 2

Taking the partial derivatives of u and v with respect to x and y, we have

∂u/∂x = 0, ∂v/∂y = 0

Substituting these values into the continuity equation, we get

∂u/∂x + ∂v/∂y = 0 + 0 = 0

Since the continuity equation is satisfied (resulted in zero), the flow is incompressible.

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The given question is incomplete, the complete question is:

The stream function for a two-dimensional, nonviscous, incompressible flow field is given by Psi = -2(x-y) where the stream function has the units of ft^2/s with x and y in feet. (a) Is the continuity equation satisfied?

The density function of the continuous random variable X, the total number of hours, in units of 100 hours, that a family runs a vacuum cleaner over a period of one year, is given in Exercise 3.7 on page 92 as f(x) = {x, 0 < x < 1, 2 - x, 1 ≤ x ≤ 2, 0, elsewhere.

To find the average number of hours per year that families run their vacuum cleaners, we must calculate the expected value of X. This is done by integrating the density function of X over the given range:

E(X) = ∫0,2 x * f(x) dx
      = ∫0,1 x2 dx + ∫1,2 (2-x) x dx
      = (1/3) + (-2 + 4 - 2/3)
      = 8/3

Therefore, the average number of hours per year that families run their vacuum cleaners is 8/3, or approximately 2.67 hours.

To find the proportion of individuals who can be expected to respond to a certain mail-order solicitation if X has the density function, we must calculate the cumulative density function of X. This is done by integrating the density function of X over the given range:

F(X) = ∫0,x f(x) dx
      = ∫0,x x dx + ∫x,2 (2-x) dx
      = (1/2)x2 + 2x - 2

Therefore, the proportion of individuals who can be expected to respond to a certain mail-order solicitation if X has the density function is (1/2)x2 + 2x - 2.

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The expected instantaneous rate of change, denoted as r, for a geometric Brownian motion stock price (St) represents the average rate at which the stock price is expected to change at any given point in time. It is typically expressed as a constant or a deterministic function.

On the other hand, the expected return, denoted as r - 0.5σ^2, on the stock ln(St) over an interval of time [0,t] represents the average rate of growth or change in the logarithm of the stock price over that time period. It takes into account the volatility of the stock, represented by σ, and adjusts the expected rate of return accordingly.

The key difference between the two is that the expected instantaneous rate of change (r) for the stock price represents the average rate of change at any given moment, while the expected return (r - 0.5σ^2)t on the stock ln(St) over an interval of time considers the cumulative effect of volatility on the rate of return over that specific time period.

In other words, the expected instantaneous rate of change focuses on the average rate of change at a specific point in time, disregarding the impact of volatility. On the other hand, the expected return over a given interval of time accounts for the volatility in the stock price and adjusts the expected rate of return to reflect the effect of that volatility.

The expected instantaneous rate of change (r) for a geometric Brownian motion stock price represents the average rate of change at any given moment, while the expected return (r - 0.5σ^2)t on the stock ln(St) over an interval of time considers the cumulative effect of volatility on the rate of return over that specific time period.

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The solutions are given below.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

Part A

the dotted line formes the thrid side of the triangle.

part B

The length is the unknon side increases while kepping the known side lenths fixed, measuremnt of anggle Z will increas. So, the tringle will not fir the given conditions anymore.

part c

If the length of he unknown side decrases while keeping h known side lengths fixed,the measure of angle will decrease so he tringle will not fit the given conditions anymore.

part D

You know the given conditions for the triangle are fixed you also know the unknown side length is fixed. What dose the this tell you angles adjacent to the unknown side.

part e

The given condiction are fixed and the unknown side lenghtis fixed, the angles adjacent to the unknown side must much also be fixed.

part f

Given two side lengths and the measurement of the angle between them, only one triangle can be constructed. Part G The length of the unknown side (c) is 9.76 centimeters

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Answer:

\(2x + y = 11 - - - (a) \\ 4x - y = 25 - - - (b) \\ (a) + (b) : \\ 6x + 0y = 36 \\ 6x = 36 \\ x = 6\)

The equations which could represent Relationship B which has a greater rate than Relationship A as described in the task content are; y = 2.2x and y = 3x.

It follows from the task content that the equation which could represent Relationship B given that it has a greater rate than Relationship A be determined.

It can be evaluated from the graph given that the slope of relationship A which is a measure of it's rate is;

Slope, m = (y2 - y1)/(x2 - x1)

m = (8 -4)/(4-2)

m = 4/2

m = 2.

Ultimately, since the rate of Relationship A is 2, and the rate of Relationship B has to be greater, it follows that the equations which are required are;

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Answer: a minute and a half

Step-by-step explanation:

3/4 +3/4 is 6/4 which is 1 1/2 or 1 2/4

Total pounds=1lbs

Total mins:-

Answer:  A   The volume V of a prism is V = Bh, where B is the area of a base and h is the height of the prism. 3. the oblique rectangular prism shown .

right triangular prism has its three rectangular sides congruent. Also, the two triangular bases are parallel and congruent to each other. The rectangular or lateral faces are perpendicular to the triangular bases Answer and Explanation: To find the height of a triangular prism, we can use the following formula: h = V / Ab. The two most basic equations are: volume = 0.5 * b * h * length , where b is the length of the base of the triangle, h is the height of the triangle, and length is prism length

Probability refers to the measure of the likelihood or chance of an event occurring, expressed as a value between 0 and 1, where 0 represents impossibility and 1 represents certainty.

To find the probability that the driver will find the second traffic light green, we need to make an assumption that the probability of each traffic light being green is independent of the other traffic lights. This means that the probability of finding the second traffic light green is the same as the probability of finding the first traffic light green.

Since the probability of finding the first green light is given as 0.56, the probability of finding the second green light is also 0.56.

Therefore, the probability that the driver will find the second traffic light green is 0.56.

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Answer:

1.45

Step-by-step explanation:

Therefore, the correct answer is (b) H(0) and H(a), where H(0) represents the null hypothesis and H(a) represents the alternative hypothesis.

Based on the given information, D represents the null hypothesis (H₀) and E represents the alternative hypothesis (Hₐ).

The null hypothesis (H₀) is a statement that there is no significant difference between the observed data and the expected results. In this case, the null hypothesis is that the population mean (μ) is greater than or equal to 1000.

The alternative hypothesis (Hₐ) is a statement that there is a significant difference between the observed data and the expected results. In this case, the alternative hypothesis is that the population mean (μ) is less than 1000.

Correct answer is (b) H(0) and H(a), where H(0) represents the null hypothesis and H(a) represents the alternative hypothesis.

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The number of fruits that Mrs Ong bought is 40.

The fraction of the fruits that are pears are 1/4.

The expression that represents the number of oranges is: 1/2f - 3

Where f is the number of fruits

The expression that represents the number of pears is: (1/2 x 1/2)f - 2

1/4f - 2

The expression that represents the number of apples is: 1/2[1 - (1/2 + 1/4)]f - 1

1/8f - 1

Fraction of mangoes remaining = 1 - (1/4 + 1/2 + 1/8)

1 - 7/8 = 1/8

Number of fruits bought altogether = 1/8f = 5

f = 5 x 8 = 40

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For the two supplementary angles given, the value of x is 30. Two angles are called supplementary when their measures add up to 180 degrees.

If two angles are supplementary, their sum must equal 180 degrees. Supplementary angles are double of complementary angles.  So if m∠1=124° and

m∠2=(2x - 4)°, we can set up the equation:

124 + (2x - 4) = 180

Solving for x, we can isolate x by subtracting 124 from both sides:

2x - 4 = 56

Adding 4 to both sides:

2x = 60

Finally, dividing both sides by 2:

x = 30

So the value of x is 30

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See below for the proof of the equation \(\frac{ax + by}{x + y} - \frac{ax - by}{x - y}= 2(a - b)\)

The equation is given as:

\(\frac{ax + by}{x + y} - \frac{ax - by}{x - y}= 2(a - b)\)

Take the LCM

\(\frac{(ax + by)(x - y) -(ax - by)(x + y)}{(x + y)(x - y)}= 2(a - b)\)

Expand

\(\frac{ax^2 - axy + bxy - by^2 -ax^2 - axy + bxy + by^2}{(x + y)(x - y)}= 2(a - b)\)

Evaluate the like terms

\(\frac{-2axy + 2bxy }{(x + y)(x - y)}= 2(a - b)\)

Rewrite as:

\(\frac{-2axy + 2bxy }{x^2 - y^2}= 2(a - b)\)

Factorize the numerator

\(\frac{2(a - b)(x^2 - y^2)}{x^2 - y^2}= 2(a - b)\)

Divide

2(a - b)= 2(a - b)

Both sides are equal

Hence, the equation \(\frac{ax + by}{x + y} - \frac{ax - by}{x - y}= 2(a - b)\) has been proved

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Answer:

Three-fourths.

Step-by-step explanation:

The additive inverse produces a zero result:

-0.75 + 0.75 = 0

so it is 0.75 or 3/4.

Answer:

three- fourths

Step-by-step explanation:

The opposite, or additive inverse, of a number is the same distance from 0 on a number line as the original number, but on the other side of 0. Zero is its own additive inverse. In other words, the additive inverse of a rational number is the same number with opposite sign.

I would say avoid adding any more detail to the eyes and facial features. normally pointillism uses alot more dots and makes them most concentrated in darker areas. i would recommend trying to add shadows to most of it or adding more detail to the hat. Ii think her neck looks ok but there isn't really a way to get rid of the diagonal that you made.

Answer:

I think its great! I think add more hair to the side of head there. other than that it resembles her quite nicely!

Step-by-step explanation:

Answer:

9:25

Step-by-step explanation:

Answer:

9:25 am

Step-by-step explanation:

losing 30 seconds every hour would be the same as losing one minute every 2 hours

since there are 5 2-hour intervals in 10 hours, the time if off by 5 minutes

instead of 9:30am it is 9:25 am

Answer:

B. 200 cubic feet

Step-by-step explanation:

There are two prisms: the triangular prism and the rectangular prism

first lets start with the triangular one:

remember that for a right triangular prism (this one), the area is 1/2 x base x height x length

another way to think about it is to find the area of the triangle and then multiply that by the thickness

The base is 4 feet and the height is the same as the rectangular prism, which is 5

and the length is 4 ft (same as rectangular prism)

so 1/2 x 4 x 5 x 4 is 40

next lets do the rectangular prism

remember the volume is length x width x height

8 x 4 x 5 = 160

now we simply add the volume of the two prisms

40 + 160 = 200

and there's you're answer :)

hope that helps!

Answer:

Step-by-step explanation:

Area of triangular face = 0.5×4×5 = 10 ft²

Volume of triangular prism = 10×4 = 40 ft³

Volume of rectangular prism = 8×4×5 = 160 ft³

Total volume = 40+160 = 200 ft³

The number of polynomials that can be formed with -2 and 5 as zeroes are more than 1.

What is a polynomial?

A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.x² -3x - 7 is an illustration of a polynomial with a single indeterminate x.

Given that the zeros of a polynomial are -2 and 5.

The polynomial that has a and b as zeors is p(x) = k[x² + (a+b)x + ab].

where k is a real number.

The polynomial that has -2 and 5 zeros is

p(x) = k[x² + (-2 + 5)x + (-2)×5]

p(x) = k[x² + 3x - 10]

Where k is a real number.

The number of real numbers is infinity.

The number of polynomials is infinity.

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The force acting on an object is the product of mass and the object's acceleration.

The acceleration of the piano is 15.0m/s^2

Given that:

\(F_A = 300N\\\)-- Amirah

\(F_D =200N\) -- Dana

\(F_f = -230N\) --- the frictional force

\(W = 180N\) --- the piano's weight

First, we calculate the net force pushing the piano

\(F = F_A + F_D + F_f\)

So, we have:

\(F = 300N + 200N -230N\)

\(F = 270N\)

Next, we calculate the mass of the piano

\(W = mg\)

Make m the subject

\(m = \frac Wg\)

So, we have:

\(m = \frac{180}{10}\)

\(m = 18\)

The force acting on an object is calculated as:

\(F = ma\)

Substitute values for F and m

\(270 = 18 \times a\)

Divide through by 18

\(15 = a\)

\(a = 15\)

Hence, the acceleration of the piano is 15.0m/s^2

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The acceleration is a transition in an object's motion or speed over a time. It can be determined by splitting the velocity change so over total time. In brief, it is a percentage at which speed changes over time, to regard to direction and speed.

Given:

Force apply by Amirah \(\bold{F_A = 300\ N}\)

Force apply by  Dana \(\bold{ F_D=200\ N}\)

Frictional force \(\bold{ F_f=-230\ N}\)

Weight of piano \(\bold{W=180\ N}\)

Calculating all the forces:

\(\to \bold{F=F_A+F_D+F_f}\)

         \(\bold{=300N+200N-230N}\\\\ \bold{=500N-230N}\\\\ \bold{=270N}\)

Calculating the weight of piano:

\(\to \bold{W=mg} \\\\\to \bold{m=\frac{W}{g}}\\\\\to \bold{m=\frac{180}{10}=18}\)

Calculating the force which is apply on the object:

\(\to \bold{F=ma}\)

\(\to \bold{270=18 \times a}\\\\ \to \bold{a=\frac{270}{18}}\\\\ \to \bold{a=15 \ \frac{m}{s^2}}\\\\\)

Therefore the, the acceleration of the piano is \(\bold{15.0\ \frac{m}{s^2}}\)

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Answer:

Actually sorry

The image was not clear

But I will give you a hint.

Notw:

If one side is equal than it is congruent.

Answer:

26) 1.32

27) 90

28) 0.00845

29) 2.56x10^-1

30) 9.5x10^-3

31) 7.8x10

STEP - BY - STEP EXPLANATION

What to find?

Measure of line DC using the properties of an isosceles triangle.

Given:

• Line DE = 30

• Line CE= 32

To solve the given problem, we will follow the steps below:

Step 1

Recall the property of the isosceles triangle.

That is;

An isosceles triangle is a type of triangle with two sides angles equal and this follows that two of its sides are also equal.

Hence, the property we will be using to solve this is:

Two of the sides of the given triangles are equal.

Step 2

Identify the side that is equa to side DC

Since angle C = angle E, this follows that;

DC = DE = 30

Therefore, DC = 30

The point (0, 100) represents the initial amount of money that Miguel puts into the savings account.

In mathematics, a function is a rule or relation that assigns each element in one set, called the domain, to exactly one element in another set, called the range. Functions are used to describe and analyze relationships between variables, and they are a fundamental concept in calculus, analysis, and many other areas of mathematics and science.

A function is typically denoted by a symbol such as f(x), where x is an element of the domain and f(x) is the corresponding value in the range. The domain and range can be any set of values, such as numbers, points in a plane or space, or other mathematical objects.

Since the function represents the amount of money in Miguel's savings account over time, the point (0, 100) represents the initial amount of money that Miguel puts into the savings account.

In other words, when time t = 0 (i.e., at the beginning), Miguel has $100 in his savings account.

The x-coordinate of a point on a function graph often represents time, while the y-coordinate represents the value of the function at that time. In this case, the x-axis likely represents time in years, and the y-axis represents the amount of money in dollars.

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The equation 3+7+2=+2 is actually not true, but false.

The equation 3+7+2=+2 is actually not true, but false. This is because the sum of 3, 7, and 2 is 12, not 2.

In general, an equation is considered true if the expressions on both sides of the equal sign are equivalent in value. In this case, the expressions on the left-hand side (3+7+2) and the right-hand side (+2) are not equivalent, and therefore the equation is false.

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Answer:

Jenny es la más alejada de su novela, con 6.66/100 por delante de Gabriel, y 8.33/100 por delante de Jessica.

English Translation: "Jenny is furthest through her novel, at 6.66/100 ahead of Gabriel, and 8.33/100 ahead of Jessica."

Step-by-step explanation:

Translation to English: "Jenny is on page 250 of her 375-page novel, Gabriel is on page 243 of the 405 pages of hers, and Jessica is reading page 448 of the 768 pages of hers. Who has done the furthest reading of their novel and what fraction of the novel separates them from the others?"

For the first part of question, where is asks who is farther through their book, calculate percentage, which is calculated from division:

250/375 = 0.66..., or 66.66%

243/405 = 0.6, or 60%

448/768 = 0.5833..., or 58.33%

We can already see that Jenny is furthest through her book, as she is around 6.66% farther than Gabriel and 8.33% farther than Jessica.

But, to answer the second part of the question, we must convert this information to fractions, which can be done by putting the values over 100:

66.66/100, 60/100, 58.33/100.  Now, since they are already in the same denominators, we can easily tell how far they are from one another in fractions: Jenny is 6.66/100 ahead of Gabriel, and 8.33/100 ahead of Jessica.

If I helped, please make this answer brainliest! ;)

Answer:

\(\frac{5x-3}{4}\)

Step-by-step explanation:

\(x=\frac{4y+3}{5} \\ 5x=4y+3\\ 5x-3=4y\\ \frac{5x-3}{4} =y\)

The probability of pulling two consecutive blue marbles is 0.1622

In this question we have been given  a bag with 20 red marbles, and 14 blue marbles.

we need to find the probability of pulling two consecutive blue marbles.

Total number of marbles = 20 red marbles + 14 blue marbles

                                       = 34 marbles

The probability of pulling a blue marble is:

p1 = 14/34

After pulling 1 blue marble there would be 13 blue ,arbles and 33 total marbles in a bag.

So, the probability of pulling next blue marble would be,

p2 = 13/33

So, he probability of pulling two consecutive blue marbles would be,

p = p1 * p2

p = 14/34 * 13/33

p = 0.1622

Therefore, the required probability is 0.1622

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Answer:

6

Step-by-step explanation: