A bag contains 3 blue balls and x yellow balls. Write down the total number of balls in the bag​

The double integral to evaluate is ∬S² √(1-(2-1)³) dy dx over the region defined by x² + y² ≤ 1. The numerical value of the double integral ∬S² √(1 - (2 - 1)³) dy dx is 0.

To evaluate the given double integral, we need to compute the integral of the function f(x, y) = √(1 - (2 - 1)³) over the region S defined by x² + y² ≤ 1.

The region S represents the unit disk centered at the origin. We can rewrite the double integral as ∬S √(1 - 1) dy dx, since (2 - 1)³ simplifies to 1.

Since the expression inside the square root is zero, the integrand becomes zero, and thus the value of the double integral is also zero. This means that the integral over the entire region S evaluates to zero.

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Answer:

45

Step-by-step explanation:

Answer:

Step-by-step explanation.

Answer:

A

Step-by-step explanation:

You will be calculate the function F(G) = f(g(x)) and G(F) = g(f(x)).

What is function ?

A function is a kind of rule that, for one input, it gives you one output. Image source: by Alex Federspiel. An example of this would be y=x2. If you put in anything for x, you get one output for y. We would say that y is a function of x since x is the input value.

Have given ,

Two functions , f(x) and g(x)

The composition of two functions g and f is the new function we get by performing f first, and then performing g. For example, if we let f be the function given by f(x) = x2 and let g be the function given by g(x) = x + 3, then the composition of g with f is called gf and is worked out as gf(x) = g(f(x)) .

So , You will be calculate the function F(G) = f(g(x)) and G(F) = g(f(x)).

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Answer:

add two tiles per figure until u get to eight.

Step-by-step explanation:

The area of the triangle, trapezoid, rectangle and total area are 7. 5 ft², 10. 5 ft², 0.8 ft² and 18. 8 ft² respectively.

1. Area of a triangle = 1/2 base × height

Area = 1/2 × 5 × 3

Area = 1/2 × 15

Area = 7. 5 ft²

2. Area of trapezoid = \(\frac{a + b}{2} h\)

a = 4ft

b = 0. 2ft

h = 5ft

Area = \(\frac{4 + 0.2}{2}* 5\)

Area = \(\frac{4.2}{2} * 5\)

Area = 2.1 × 5

Area = 10. 5 ft²

3. Area of rectangle = length × width

Area of rectangle = 0. 2 × 4

Area of rectangle = 0. 8 ft²

4. Total area of tree = area of triangle + area of trapezoid + area of rectangle

Total area of tree = 7. 5 + 10. 5 + 0. 8

Total area of tree = 18. 8 ft²

Thus, the area of the triangle, trapezoid, rectangle and total area are 7. 5 ft², 10. 5 ft², 0.8 ft² and 18. 8 ft² respectively.

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The image of the 2 mile markers is missing as well as the options and so i have attached them.

Answer:

> 1.5 hours = 105 miles/speed

> Speed = 105 miles/1.5 hours

> 105 miles = 1.5 hours × speed

Step-by-step explanation:

From the image attached, the distance of the first mile marker is given as 50 miles while the distance of the second mile marker is given as 155 miles.

Thus, difference in distance between the two markers; d = 155 - 50 = 105 miles

Also, we see that the time of first marker is 3 pm while the second marker is 4:30 pm.

Thus, difference in time = 4:30 - 3 = 1 hour 30 minutes or 1.5 hours.

We know that;

Speed = distance/time

Thus;

Speed = 105/1.5

Speed = 70 mph

Thus, the 3 equations that represent this situation from the options are;

> 1.5 hours = 105 miles/speed

> Speed = 105 miles/1.5 hours

> 105 miles = 1.5 hours × speed

Answer:

1.5 hours = 105 miles/speed

Speed = 105 miles/1.5 hours

105 miles = 1.5 hours × speed

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

x = 55°

Step-by-step explanation:

That square box indicates a right angle.

A right angle is 90°.

We know that angle x and the 35° angle are making up this 90° angle together.

So, the equation to show what this ship looks like is the following:

\(x+35=90\)

This is a simple equation, that if we solve, we get:

\(x=55\)

So, x is 55°.

Considering the angle of the ray, it is found that the value of x is of x = 55º.

The ray has an angle of 180º. It is composed by:

Hence:

x + 35 + 90 = 180

x = 180 - 125

x = 55º.

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To find the equation of the line of intersection of two planes, we need to find the direction vector of the line. This can be done by taking the cross product of the normal vectors of the two planes.

Let the two planes be:
P1: 2x - y + 3z = 5
P2: x + 2y - 4z = -1
The normal vectors of these planes are:
n1 = <2, -1, 3>
n2 = <1, 2, -4>
Taking the cross product of these two vectors, we get:
n1 x n2 = <14, 10, 5>
This is the direction vector of the line of intersection.
To get the vector form of the equation, we need a point on the line. We can choose any point that lies on both planes. To make it easy, we can set z = 0 in both planes and solve for x and y.
From P1:
2x - y = 5
From P2:
x + 2y = -1
Solving these equations, we get:
x = -7/5
y = -3/5
So a point on the line is (-7/5, -3/5, 0).
Using this point and the direction vector, the vector form of the equation of the line of intersection is:
r = <-7/5, -3/5, 0> + t<14, 10, 5>
Here, t represents the parameter.

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Answer:

if you are required to find the equation of a straight line use the formula y-y1= m (x-x1)

y+2=-3(x-1)

y+2=-3x+3

y= -3x+3-2

y -3x+1

hope this helps

Answer:

y = -3x + 1

Step-by-step explanation:

(y -(-2)) = -3(x-1)

y+ 2 = -3x+ 3

y = -3x + 1

To test the hypothesis H₁: μx = μy versus Hoxy, where μx and μy represent the means of X and Y respectively, we can perform a two-sample t-test. The test compares the means of two independent samples to determine if they are significantly different from each other.

The given information provides the sample means (X = 33.8, Y = 32.5) and the sample standard deviations (Sx = 3.9, Sy = 5.1). The sample sizes for both X and Y are n = m = 25.

Using this information, we can calculate the test statistic, which is given by:

t = (X - Y) / sqrt((Sx^2 / n) + (Sy^2 / m))

Plugging in the values, we get:

t = (33.8 - 32.5) / sqrt((3.9^2 / 25) + (5.1^2 / 25))

Next, we need to determine the degrees of freedom for the t-distribution. Since the sample sizes are equal (n = m = 25), the degrees of freedom for the test is given by (n + m - 2).

Using the t-distribution table or software, we can find the critical value corresponding to a significance level of α = 0.05 and the degrees of freedom.

Finally, we compare the calculated test statistic with the critical value. If the test statistic falls within the rejection region (i.e., the absolute value of the test statistic is greater than the critical value), we reject the null hypothesis. The p-value can also be calculated, which represents the probability of observing a test statistic as extreme or more extreme than the calculated value, assuming the null hypothesis is true.

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The quantum partition function, denoted by Z, is given by the sum of the Boltzmann factors over all the possible energy levels of the system.

It can be calculated using the formula:
Z = ∑ exp(-βE)
where β is the inverse of the temperature (β = 1/kT) and

E represents the energy levels.

To find the expression for the heat capacity, we differentiate the partition function with respect to temperature (T) and then multiply it by the Boltzmann constant (k) squared:
C = k² * (∂²lnZ / ∂T²)
This expression gives us the heat capacity as a function of temperature.
However, in the given question, there seems to be a typo: "if k ≫ k." It is unclear what this statement intends to convey.

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Diatomic Einstein Solid* Having studied Exercise 2.1, consider now a solid made up of diatomic molecules. We can (very crudely) model this as two particles in three dimensions, connected to each other with a spring, both in the bottom of a harmonic well.

\($H=\frac{P_1^2}{2m_1} +\frac{P_2^2}{2m_2}+\frac{k}{2}x_1^2+\frac{k}{2}x_2^2+\frac{k}{2}(x_1-x_2)^2\)

where

k is the spring constant holding both particles in the bottom of the well, and k is the spring constant holding the two particles together. Assume that the two particles are distinguishable atoms.

(If you find this exercise difficult, for simplicity you may assume that

m₁ = m₂ )

(a) Analogous to Exercise 2.1, calculate the classical partition function and show that the heat capacity is again 3kb per particle (i.e., 6kB total). (b) Analogous to Exercise 2.1, calculate the quantum partition function and find an expression for the heat capacity. Sketch the heat capacity as a function of temperature if k>>k.

(c). How does the result change if the atoms are indistinguishable?

Answer:

9x +24y = -8

Step-by-step explanation:

2y + 3/4 x = -2/3 ( multiple by 4)

24y + 9 x = -8 (move x to the front)

9x + 24y = -8

Answer:

A. 300

Step-by-step explanation:

20 pizzas x 15 slices in each pizza = 300 total slices in 20 pizzas

Answer:

can I get free points? pleaaasee?

Answer:

Look down

Step-by-step explanation:

I don’t see any iready

(a) The equation z = z^2 does not have a well-defined graph. (b) The equation y² + 2² = 1 + x² represents a cylinder with radius 2 and its axis parallel to the z-axis.

(a) The equation z = z^2 represents a paraboloid.

To sketch the graph of this equation, we can plot some points and observe the shape of the paraboloid. However, it's important to note that the equation z = z^2 is not a well-defined equation as it leads to multiple interpretations and can cause mathematical inconsistencies. The equation implies that z is equal to either 0 or 1, but it does not specify a specific relationship between x, y, and z.

(b) The equation y² + 2² = 1 + x² represents a cylinder.

To sketch the graph of this equation, we can treat it as a three-dimensional equation and interpret it as a cylinder. The equation implies that the sum of the squares of y and 2 is equal to 1 plus the square of x. This equation describes a right circular cylinder with its axis parallel to the z-axis and centered at the origin. The radius of the cylinder is 2, and it extends infinitely in the positive and negative directions along the x-axis. The graph would be a cylinder with circular cross-sections.

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Answer:

a b c

plz give branliest

Step-by-step explanation:

Answer:

the first answer choice and the 3rd one down.

Answer:

f(-2) = -28

Step-by-step explanation:

f(x) = 12x-4

Let x = -2

f(-2) = 12(-2) -4

Multiply

    = -24-4

Add

  = -28

a) To find the displacement of the mass, we can use the equation of motion for a mass-spring system. The equation is given by: m * d^2x/dt^2 + b * dx/dt + k * x = 0 Where m is the mass, b is the damping coefficient, k is the spring constant, and x is the displacement from the equilibrium position.

In this case, the mass is 16 pounds, the spring length at equilibrium is 2 feet, and the spring length when displaced is 5 feet. So, the displacement is given by: x = 5 - 2 = 3 feet b) To determine if the motion is under-damped, over-damped, or critically damped, we need to compare the damping coefficient b to the critical damping coefficient, which is given by: b_critical = 2 * sqrt(m * k)

If b < b_critical, the motion is under-damped.
If b > b_critical, the motion is over-damped.
If b = b_critical, the motion is critically damped.

Since the question does not provide the damping coefficient, we cannot determine the type of damping. c) Without additional information about the damping coefficient or the specific equation of motion, we cannot graph x(t) on the given interval [-1,5].

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The cost of materials is 245.31 dollar

Given, Volume = 10 m³, Width = x, Length = 2x

Base area = 2x²

Cost of base = $15

Cost of sides = $9

Since the volume is 10 m²

Volume = base area × height

The height has to be 10/ 2x²

= 5 /x²

The cost of making such container

Cost of base = 2x²(15)

= $30x².

Cost of sides = [(2 × 2x × 5 /x²) +(2 × x × 5 /x²)](9)

= $270/x.

The overall cost = Cost of base + Cost of sides

f(x) = 30x² + 270/x.

= 30(x² + 9/x)

To get the minimum, let us find the first derivative of f(x) and equate it to zero.

df(x)/dx = 30(2x - 9/x²) = 0

2x - 9/x² = 0

2x³ = 9

x³ = 4.5

So, x = 1.651 (m)

f(x)= 30x² + 270/x

=30(1.651)² + 270/(1.651)

=81.77 + 163.53

= 245.31 dollars.

Therefore, the cost of materials is 245.31 dollars.

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The complete ques is -

A rectangular storage container with an open top is to have a volume of 10 m3. The length of this base is twice the width. Material for the base costs $15 per square meter. Material for the sides costs $9 per square meter. Find the cost of materials for the cheapest such container. (Round your answer to the nearest cent.)

The angle between the polarizers is approximately 52.6°.

Explanation:-

According to Malus' law, the intensity of polarized light passing through a pair of polarizer (or a polarizer and an analyzer) is given by :-

I' = I cos²θ

Where I' is the intensity of the light after passing through the second polarizer, I is the intensity of the unpolarized light before passing through the polarizer, and θ is the angle between the transmission axes of both the polarizers.

In this case, we have I' = 28.8 W/cm² and I = 78.1 W/cm².

Plugging these values into the equation and rearranging to solve for θ gives us:-

cos²θ = I' / I

         = 28.8 / 78.1

cos θ  = √(28.8 / 78.1)

θ = cos⁻¹(√(28.8 / 78.1)) ≈ 52.6°

Therefore, the angle between the polarizers is approximately 52.6°.

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Parallelograms have equal and parallel opposite sides

The coordinates of the 4th point is (-2,3)

Let the parallelogram be ABCD, such that:

\(A = (4,3)\)

\(B =(-4,3)\)

\(C = (2,3)\)

A and B have the same y-coordinates, while their x-coordinates are additive inverse

This means that:

The y-coordinates of point C and point D will be the same, while their x-coordinates will be additive inverse.

For point C

We have:

\(x = 2\)

\(y = 3\)

For point D

The coordinates would be:

\(x =- 2\)

\(y = 3\)

Hence, the coordinates of D is (-2,3)

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Answer:

Los divisores de 42 son: 1, 2, 3, 6, 7, 14 y 21 , que suman 54 .

Step-by-step explanation:

Puedes resolver esto usando un árbol de factores primos.

Answer:

A

Step-by-step explanation:

hope this helped! please let me know if im wrong

Answer:True

Step-by-step explanation:True. It's  True. Trust me