Nina bought 3. 45 pounds of walnuts and 1. 83 pounds of almonds. How many more pounds of walnuts did she buy than almonds?.

To evaluate the given triple integral ∭E p(x² + y² + z²) dV, where E is the solid bounded by the cone z = (1/√3)√(x² + y²) and the sphere x² + y² + z² = 4, we can use spherical coordinates to simplify the integral.

In spherical coordinates, the volume element is given by dV = ρ² sin φ dρ dθ dφ, where ρ is the radial distance, φ is the polar angle, and θ is the azimuthal angle.

We need to determine the bounds for ρ, θ, and φ based on the given solid E. The cone z = (1/√3)√(x² + y²) can be expressed in spherical coordinates as ρ cos φ = (1/√3)ρ sin φ, which simplifies to tan φ = 1/√3. This implies that φ lies between 0 and π/6.

The sphere x² + y² + z² = 4 can be expressed in spherical coordinates as ρ² = 4, which gives ρ = 2. Thus, the bounds for ρ are 0 to 2.

The azimuthal angle θ can vary over the full 2π range.

Now, let's express the integrand p(x² + y² + z²) in terms of spherical coordinates:

p(x² + y² + z²) = p(ρ²) = p(ρ)

Putting everything together, the triple integral becomes:

∭E p(x² + y² + z²) dV = ∫₀² ∫₀²π ∫₀^(π/6) p(ρ) ρ² sin φ dφ dθ dρ

Performing the integration with respect to φ, θ, and ρ, we obtain:

∭E p(x² + y² + z²) dV = ∫₀² ∫₀²π ∫₀^(π/6) p(ρ) ρ² sin φ dφ dθ dρ

                     = p ∫₀² ∫₀²π [-cos φ]₀^(π/6) dθ dρ

                     = p ∫₀² ∫₀²π (1 - cos(π/6)) dθ dρ

                     = p ∫₀² ∫₀²π (1 - √3/2) dθ dρ

                     = p ∫₀² (1 - √3/2) 2π dρ

                     = p (1 - √3/2) 2π ∫₀² dρ

                     = p (1 - √3/2) 2π [ρ]₀²

                     = p (1 - √3/2) 2π (2 - 0)

                     = 4πp (1 - √3/2)

Therefore, the value of the given triple integral is 4πp (1 - √3/2).

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Answer:

i wold but can we just be frends

Step-by-step explanation:

i have a discord if you wanna join it?

Answer:

57 groups

Step-by-step explanation:

36*19=684

684÷12=57

Answer:

graph{y=4x+1 [-10, 10, -5, 5]}

Step-by-step explanation:

Since the equation is linear/straight in the form

y = mx + c, you can determine the slope/gradient (m) and y-intercept (c).

m = 4

c = 1

To graph this equation, you'll need to find 2 points on the line and join them together. We know one of the points is (0, 1) as the y-intercept is 1.

You can find another point by substituting an arbitrary number into

x or y in the equation. In this example, I'll substitute 1 into x to find the y coordinate where the x coordinate is 1.

y = 4 (1) + 1

y = 4 + 1

y = 5

So, the second point would be (1, 5).

If you join the points (0, 1) and (1, 5) on a graph, this would be the line of the equation.

hope this helps!

The coordinates for the point for this equation  \(y - 4 = -\frac{1}{3} (x-7),\) is at (7, 4)

The standard form of the equation in point-slope form is expressed as:

\(y-y_0=m(x-x_0)\\\)

m is the slope of the line

\((x_0, y_0)\) is any point on the line

Given the equation \(y - 4 = -\frac{1}{3} (x-7),\)

Compare the original equation with the given equation to get the coordinate for the point \((x_0, y_0)\).

On comparison:

\(-x_0=-7\\x_0=7\\-y_0=-4\\y_0=4\)

Hence the coordinates for the point is at (7, 4)

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Answer:

Factors of 65: 1, 5, 13, and 65.

Prime Factorization of 65: 65 = 5 × 13.

Step-by-step explanation:

hope this helps!

Answer:

1, 5, 13, and 65.

Step-by-step explanation:

Answer:

Subtract 4 from both sides.

Answer:

Combining like terms

I hope this helps!

Answer:

1. 1 Burrito Platter = $58.50 , 1 Taco platter = $12.50

2. One pair of boots = $20 , One pair of shoes = $6

Step-by-step explanation:

1. Let the cost of one burrito platter be x and one taco platter be y.

4x + 2y = 259 --- Equation 1

4x + 4y = 284 --- Equation 2

Equations 2-1: 4x + 4y - 4x - 2y = 284 - 259

2y = 25

y = 25 ÷ 2

y = 12.50 (Taco platter)

Substitute y = 12.50 into Equation 1:

4x + 2y = 259

4x + 2(12.50) = 259

4x + 25 = 259

4x = 259 - 25

    = 234

x = 234 ÷ 4

x = 58.50 (Burrito platter)

2. Let the cost of one pair of boots be x and one pair of shoes be y.

7x + 8y = 188 --- Equation 1

6x + 8y = 168 --- Equation 2

Equations 1-2: 7x + 8y - 6x - 8y = 188 - 168

x = 20 (Boots)

Substitute x = 20 into Equation 2:

6x + 8y = 168

6(20) + 8y = 168

120 + 8y = 168

8y = 168 - 120

    = 48

y = 48 ÷ 8

y = 6 (Shoes)

When surrounded by smaller circles, a center circle will appear larger than if surrounded by larger circles.

Perception is the collection of processes in the brain that interpret information from the senses as objects, events, written and spoken words, and so on.

Not only sensory impressions are perceived; for example thoughts and feelings are perceived too.

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The superposition is the imposing of one wave on the other and resulting in the change of the amplitude of the final wave.

When two or more waves travel through the same space in superposition, their combined amplitudes equal the amplitudes they would have produced individually. For instance, two waves moving in the same direction will pass through each other without causing any distortion on the other side.

The pattern you see when shining light through two slits, the sounds you hear in acoustically sound rooms and music halls, the interference radios receive when moved close to other electronic devices, and any tone produced by a musical instrument are all examples of the superposition principle in action.

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Answer:

10 digress when converted to nearest digree

In data analytics, a population refers to all possible data values in a certain dataset.

Data analytics is a set of procedures and processes for examining datasets in order to draw conclusions from the information they contain, often aided by specialized systems and software. Organizations use data analytics to aid decision-making, increase efficiency, and evaluate outcomes.

The population and sample are two concepts in statistics. The population and sample are two concepts in statistics. The population is the entire set of objects or individuals being studied, while the sample is a subset of the population that is chosen for analysis. The sample is a subset of the population, chosen at random or according to some other criteria in order to represent the population as a whole.

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The equation that expresses the above situation is m/2 = 45  

The mathematical expression which is used to find the unknown number or value is known as Linear Equation. These are combinations of algebraic terms and constant terms. Here to represent the unknown we use different types of variables.  

Here given that

Greg earned $45 dollars for washing cars this month.

He earned twice as much for washing cars than he did for moving lawns  

Let us assume that he earned 'm' amount for moving lawns and 'c' be the amount earned by washing cars

From given data

=> m = 2 c

As we know The amount earned by washing cars = 45  

=> m = 2(45)

Divide by 2 into both sides

=> m/2 = 45

Therefore,

The equation that expresses the above situation is m/2 = 45

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Answer:

a I think

Step-by-step explanation:

I dont know how to explain if its not im sorry

Answer:

b is not a part of that equation

The value of the larger of the two numbers is 5.73.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Two numbers = M and N

M + N = 8 _____(1)

M = 8 - N _____(2)

MN = 13 _____(3)

Putting (2) in (3) we get,

(8 - N)N = 13

8N - N² = 13

N² - 8N + 13 = 0

This is in the form of ax² + bx + c = 0

a = 1, b = -8 and c = 13

Using the determinant we have,

N = -b ± √(b² - 4ac) / 2a

N = 8 ± √(64 - 52) / 2

N = 8 ± √12 / 2

N = 8 ± 2√3 / 2

N = 4 ± √3

N = 4 + √3 and N = 4 - √3

[√3 = 1.73]

N = 5.73

N = 2.27

Now,

When N = 5.73, M = 8 - 5.73 = 2.27

When N = 2.27, M = 8 - 2.27 = 5.73

Now,

The two numbers are 5.73 and 2.27

Thus,

The larger of the two numbers is 5.73.

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The total number of ways to select 4 baseball players and 4 basketball players from 8 baseball players and 13 basketball players is 70 × 715 = 50,050.

The number of ways to select 4 baseball players and 4 basketball players from 8 baseball players and 13 basketball players is equal to the number of combinations without repetition (denoted as C(n,r) n≥r) of 8 baseball players taken 4 at a time multiplied by the number of combinations without repetition of 13 basketball players taken 4 at a time.

The number of ways to select 4 baseball players from 8 baseball players = C(8,4)

= 8!/4!(8-4)!

= (8×7×6×5×4!)/(4!×4!)

= 8×7×6×5/(4×3×2×1)

= 2×7×5

= 70

The number of ways to select 4 basketball players from 13 basketball players = C(13,4)

= 13!/(13-4)!4!

= (13×12×11×10×9!)/(9!×4!)

= (13×12×11×10)/(4×3×2×1)

= 13×11×5

= 715

Therefore, the total number of ways to select 4 baseball players and 4 basketball players from 8 baseball players and 13 basketball players is 70 × 715 = 50,050.

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The sum of the measures of the exterior angles of any polygon, including a triangle, is always 360 degrees.

We have,

An exterior angle of a polygon is formed by extending one of its sides outward.

In the case of a triangle, when we extend each side, we create three exterior angles.

These exterior angles are located outside the triangle.

The key concept to understand is that the sum of the exterior angles of any polygon is always 360 degrees.

This property holds true for all polygons, regardless of their shape or size.

To visualize this, imagine starting at any vertex of a triangle and moving along its sides while measuring the exterior angles.

As you move around the triangle, the sum of the exterior angles will always add up to 360 degrees.

This is because, at each vertex, the exterior angle supplements the interior angle to form a straight angle of 180 degrees.

In a triangle, each interior angle measures less than 180 degrees.

So, when we extend each side to create the exterior angles, they collectively compensate for the deficiency of the interior angles, resulting in a sum of 360 degrees.

Therefore,

The sum of the measures of the exterior angles of a triangle is always 360 degrees.

This principle holds true for all polygons, making it a fundamental property of geometry.

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Answer:

the answer is A

Step-by-step explanation:

because if you subtract 700 from 600,000,000 you will get 599999300

Answer:

3,-2

Step-by-step explanation:

set y =0 and solve

(-x-2)(x-3)=0

the values 3, -2 solve the equation and are your x-intercepts

Answer:

f(x) = -4x + 5

Step-by-step explanation:

To find the equation of the line passing through two points (-2, 13) and (3, -7), we can use the point-slope form of the equation of a line, which is:

y - y1 = m(x - x1)

where (x1, y1) are the coordinates of one of the points, and m is the slope of the line.First, let's find the slope:m = (y2 - y1) / (x2 - x1)

m = (-7 - 13) / (3 - (-2))

m = -20 / 5

m = -4

Now, let's use the point-slope form with the point

(-2, 13):y - 13 = -4(x - (-2))

Simplifying:

y - 13 = -4(x + 2)y - 13 = -4x - 8y = -4x + 5

So the equation of the line passing through (-2, 13) and (3, -7) in function notation is:

f(x) = -4x + 5

The constant of proportionality 'k' is 90.

Therefore, the answer is option c. 90.

To find the constant of proportionality in this indirect variation problem, we can set up a proportion using the given information.

Let's denote the constant of proportionality as 'k'. We know that when Bartolo runs at an average speed of 15 feet/second, he finishes the race in 6 seconds. We can write this as:

15 feet/second x 6 seconds = k

Similarly, when Bartolo runs at an average speed of 18 feet/second, he finishes the race in 5 seconds:

18 feet/second x 5 seconds = k

Now we can solve for 'k' by setting the two expressions equal to each other:

15 feet/second x 6 seconds = 18 feet/second x 5 seconds

90 feet = 90 feet

This shows that the constant of proportionality 'k' is 90.

Therefore, the answer is option c. 90.

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On average, 10.2 times would a gaming app be launched over a six-month period.

The percentage change in the total number of app launches in feb 2014 compared to feb 2015 is 29.78%.  

1.75 times a gaming app is launched, a retail app is launched.

The average number of times a gaming app would be launched over a six-month period is 13, this is based on the given data of January to June, the total number of launches was 72, and the number of gaming app launches was 42.

Therefore,

Average = Total number of launches / Number of gaming app launches

Average = 72/42 ≈ 1.7

per month, so for a six-month period, the average would be

1.7 × 6 = 10.2 (approx) launches.

We are given the data for February 2014 and February 2015:

February 2014 - 47 launches

February 2015 - 61 launches

The percentage change can be calculated using the following formula:

Percentage change = ((New value - Old value) / Old value) × 100

Substituting the values,

Percentage change = ((61 - 47) / 47) × 100

Percentage change = (14 / 47) × 100 ≈ 29.78%

Based on the given data, for the year 2014, the number of gaming app launches was 182 and the number of retail app launches was 318.

Therefore,

Each time a gaming app is launched, the retail app is launched

318 / 182 ≈ 1.75 times.

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Answer:y=-x/-+8

Step-by-step explanation:

In this question, we are asked to determine the truth-values of two statements involving sets A and B. For each statement, we need to determine if it is true or false. If it is false, we need to provide specific counterexamples by choosing appropriate sets A and B.

a. (A\B) ⊆ A

The statement (A\B) ⊆ A is true for any sets A and B. This is because the set difference (A\B) contains elements that are in A but not in B. Therefore, by definition, every element in (A\B) is also an element of A. There are no counterexamples to this statement.

b. A^c ⊆ (AUB)

The statement\(A^c\) ⊆ (AUB) is true for any sets A and B. This is because the complement of A, denoted as \(A^c\), contains all elements that are not in A.

On the other hand, the union of A and B, denoted as (AUB), contains all elements that are in A or in B or in both.

Since the complement of A contains all elements not in A, it includes all elements in B that are not in A as well.

Therefore, \(A^c\) ⊆ (AUB) holds true for any sets A and B. There are no counterexamples to this statement.

In conclusion, both statements are true for any sets A and B, and there are no counterexamples.

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The probability of getting between three and seven heads, inclusively, when flipping a coin 10 times is approximately 0.377 or 37.7%.

The probability of getting between three and seven heads, inclusively, when flipping a coin 10 times can be calculated using the binomial probability distribution.

The probability of getting x successes in n trials, where the probability of success in a single trial is p, is given by the formula P(x) = nCx * p^x * (1-p)^(n-x), where nCx is the number of combinations of n things taken x at a time.

In this case, the probability of getting a head on a single coin flip is 0.5, and we are flipping the coin 10 times. So the probability of getting between three and seven heads, inclusively, is:

P(3) + P(4) + P(5) + P(6) + P(7)

= (10C3 * 0.5³ * 0.5⁷) + (10C4 * 0.5⁴ * 0.5⁶) + (10C5 * 0.5⁵ * 0.5⁵) + (10C6 * 0.5⁶ * 0.5⁴) + (10C7 * 0.5⁷ * 0.5³)

= 0.376953125

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Answer

100.57 square units

Explanation

The area of a circle is given as

Area = πr²

The area of a semi-circle is half of the area of a circle.

Area of a semi-circle = ½ (πr²)

r = radius = 8 units

Area of a semi-circle = ½ (πr²)

= ½ [π (8²)]

= ½ (64π)

= 32π

= 100.57 square units

Hope this Helps!!!

Correct option is B. Mrs. Quabarl is best described as outwardly imposing but easily defied.

Mrs. Quabarl is very vocal about her demands and imposing in her wishes as stated in the passage. But she is also docile and surprised when she is defied, though she speaks nothing of it.

There is no indication of her being selfish, or bitter, neither imprudent. Thus, options A,C and D are incorrect.

Lady Carlotta is approached by the “imposingly attired lady” Mrs. Quabarl while standing at a train station (lines 32-35).

Mrs. Quabarl assumes Lady Carlotta is her new nanny, Miss Hope: “You must be Miss Hope, the governess I’ve come to meet” (lines 36-37). Lady Carlotta does not correct Mrs. Quabarl’s mistake and replies, “Very well, if I must I must” (line 39).

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Answer: yes, it very creative!!!

Step-by-step explanation:

Answer:

Wow did u colour that urself!!!!

Answer:

the answer to your question is 45 over 6

Answer:

45/6 or simplified 15/2

Step-by-step explanation: