A cone is sliced by a vertical plane and passes through the vertex, what is the resulting cross section?

Answer:

16/r

Step-by-step explanation:

16 is how many people there is in total, r is how they are being divided :)

The center of the face of a cube is the midpoint of the face and lies along the line that runs between the opposite vertices of the face.

This is the point of intersection of the two diagonals in a face. In other words, it is the point that is equidistant from all four corners of the face.

To visualize this, imagine dividing the face into four equal triangles by drawing lines from each corner to the center. The center of the face is at the intersection of these lines.

In three-dimensional space, the center of the face of a cube is also the center of the cube itself, as all faces of a cube are congruent (the same shape and size) and meet at the center of the cube.

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Answer:

a = 5, b = -25

Step-by-step explanation:

x² + 10x

halve the 10 and move ² to outside parenthesis:

(x + 5)²

subtract (+5)² from this:

(x + 5)² - (+25)

= (x + 5)² - 25

a = 5, b = -25

Answer: 15

Step-by-step explanation: 2 minus negative 1 is the same as 2+1. 2 plus 1 is 3 and 5 times 3 is 15. Therefore, 15 is your answer.

Answer:

15

Step-by-step explanation:

took the test on EDGE

Answer:

2

Step-by-step explanation:

convert 1 + the other one is 2

Answer:

2

Step-by-step explanation:

You add both numbers that have been given which are 1+1

The distribution function of M, FM(-), is given by FM(x) = x, 0 ≤ x ≤ 1.

The probability density function of M is\(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.

In order to understand the distribution function of M, we need to consider the probability that M is less than or equal to a given value x. Since each Xi is uniformly distributed over (0,1), the probability that Xi is less than or equal to x is x.

For M to be less than or equal to x, all of the random variables Xi must be less than or equal to x. Since these variables are independent, their joint probability is the product of their individual probabilities. Therefore, the probability that M is less than or equal to x can be expressed as the product of n x's: P(M ≤ x) = x * x * ... * x = \(x^n\).

The distribution function FM(x) is defined as the probability that M is less than or equal to x. Therefore, FM(x) = P(M ≤ x) = \(x^n\).

To find the probability density function (PDF) of M, we differentiate the distribution function FM(x) with respect to x. Taking the derivative of \(x^n\)with respect to x gives us \(n * x^(^n^-^1^)\). Since the range of M is (0,1), the PDF is defined only within this range.

The distribution function of M is FM(x) = x, 0 ≤ x ≤ 1, and the probability density function of M is \(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.

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Check the picture below.

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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Answer:

False.

Step-by-step explanation:

It is false because when dividing an odd number by an odd number, it usually isn't divisible. In this case, 690,269. Is an odd number, because the last number, 9, is odd, which makes the whole thing odd. So, odd divided by odd never turns out well. (By the way the answer is 76,696.5555556).

The height of the redwood tree, with angle of elevation 47.3°, to the nearest foot, is approximately 65 feet.

To solve this problem, we can use trigonometry. Let's denote the height of the tree as 'h'.

Given:

Distance from the base of the tree to the point of observation (horizontal distance) = 60 feet.

Angle of elevation to the top of the tree = 47.3°.

We can set up a right triangle with the base of the tree forming the horizontal side, the height of the tree as the vertical side, and the line of sight as the hypotenuse.

Using the trigonometric function tangent (tan), we can write:

tan(angle) = opposite/adjacent

In this case, the angle of elevation is 47.3°, the opposite side is the height of the tree (h), and the adjacent side is the distance from the base of the tree (60 feet).

So, we have:

tan(47.3°) = h/60

To find the height of the tree, we rearrange the equation and solve for h:

h = tan(47.3°) * 60

Using a calculator, we can find the value of tan(47.3°) and then multiply it by 60 to find the height of the tree:

h ≈ 1.089 * 60

h ≈ 65.34 feet

Therefore, the height of the redwood tree, to the nearest foot, is approximately 65 feet.

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The mean value of the radius (r) at which you would find the electron, given the H atom wave function is 100(r), is 0.

The wave function of an electron in the hydrogen atom, denoted by Ψ, describes the probability distribution of finding the electron at different positions around the nucleus. In this case, the given wave function is 100(r), where r represents the radius.

To calculate the mean value of the radius, we need to evaluate the integral of r multiplied by the absolute square of the wave function, integrated over all possible values of r. However, the wave function 100(r) does not provide a valid description of the hydrogen atom's electron distribution. The wave function should be normalized, meaning that the integral of the absolute square of the wave function over all space should equal 1. In this case, the given wave function lacks normalization.

Since the wave function is not properly normalized, we cannot accurately calculate the mean value of the radius. Without normalization, the probability distribution described by the wave function does not provide meaningful information about the electron's position.

In summary, based on the given wave function, the mean value of the radius cannot be determined without proper normalization of the wave function. A properly normalized wave function is necessary to obtain accurate information about the electron's position.

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Answer:

\(\frac{1}{4}\)

Step-by-step explanation:

In order to find an equivalent fraction we can simplify it. To do this, just take a number which is divisible between both of the numbers. In this case, we have 3.

\(\frac{3\div 3}{12\div 3}=\frac{1}{4}\)

Given parameters:

To solve this problem, we need follow it stepwisely.

Let the amount raised by Manny  = M

             amount raised by Ada  = A

Now, let us go through the problem sentence by sentence and interpret it algebraically;

Algebraically;

             M  = 2A - 7    ----- (I)

             M  = A + 45    ----- (II)

Now that we have established two equations we can equate them and solve for A;

             2A - 7 = A + 45

             2A - A  = 45 + 7

                 A  = 52

Ada raised $52 during the fundraiser event.

Answer: 13/25

Step-by-step explanation: it is equal to 52% which is greater than 50%

50% is greater than 13/25. To compare these two values, you can convert both of them to a common denominator, such as 50%. 50% is equal to 1/2, so 13/25 is equal to 52/50, which is less than 1/2 or 50%. Alternatively, you can also express both fractions as decimals and compare the two values that way. 50% is equal to 0.5, and 13/25 is equal to 0.52, so 50% is still greater than 13/25.

Forming linear equations, the cost of a t-shirt and a notebook will be $1 and $6 respectively.

What is a linear equation, exactly?

When the greatest power of a variable is 1, the equation is said to be linear. Another term for it is a one-degree equation. The standard form of a linear equation with one variable is Ax + B = 0. There are three variables in this equation: x, A, and B. A denotes a coefficient. A linear equation with only two variables is commonly written as Ax + By = C. There are three more constants in addition to the constant C: the variables x and y, the coefficients A and B, and the variables.

Now,

Given that

club A sold 2 t-shirts and 3 notebooks, and made $20.

Club B sold 2 t-shirts and 1 notebook, for a total of $8.

Let x and y be the cost of t-shirt and notebook respectively

then 2x+3y=20--->1

and 2x+y=8 --->2  will be the equations formed.

Now subtracting 2 from 1

we get 2x-2x+3y-y=20-8

2y=12

y=6

then  2x+6=8

x=1

Hence,

          the cost of a t-shirt and a notebook will be $1 and $6 respectively.

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a) Let's take m = 31. First, we need to check that the order of m is a prime number; if it is, then a primitive root exists. Here, 31 is a prime number; therefore, a primitive root exists.

Let's now find a primitive root g > 7, modulo 31.To find a primitive root g > 7, modulo 31, we will use the following theorem: "If p is an odd prime number, then there exists a primitive root modulo p if and only if p is equal to 2, 4, pk, or 2pk, where p and k are positive integers."Using this theorem, we know that 31 is a prime number, and hence, it has a primitive root.

We can take the number 3 as a primitive root of 31. To verify this, we can compute the powers of 3 modulo 31 and see that they generate all the residues less than 31. So, 3 is a primitive root modulo 31.b) Here, we need to construct a natural number k > 20 such that the equation 7x = 4 mod 31 has exactly 5 distinct solutions modulo 31. Let's find the solutions to this equation:7x = 4 mod 31 -> (1)Multiplying both sides by 5, we get:35x = 20 mod 31. -> (2)As 35 is congruent to 4 modulo 31, we can write (2) as:4x = 20 mod 31 -> (3)Multiplying both sides by 8, we get:32x = 160 mod 31. -> (4)As 32 is congruent to 1 modulo 31, we can write (4) as:x = 5 mod 31. -> (5)So, the solutions to (1) are given by the congruence class of 5 modulo 31. To find k, we need to look for a natural number k > 20 such that (5) has exactly 5 distinct solutions modulo 31. Let's look at the powers of 5 modulo 31:5^1 = 5 mod 315^2 = 25 mod 315^3 = 19 mod 315^4 = 24 mod 315^5 = 1 mod 31 (Since 5 is a primitive root modulo 31)So, we can take k = 4. Therefore, the equation 7x = 4 mod 31 has exactly 5 distinct solutions modulo 31, which are given by:5^1, 5^2, 5^3, 5^4, and 5^5 modulo 31.

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Answer:

a) x= 29/4 and y = 1/2.

b) x= -2 and y = 7.

Step-by-step explanation:

a) explanation:

Multiply the first equation by -2,and multiply the second equation by 1.

They become: −4x−6y=−32 and 4x+2y=30

Add these equations to eliminate x:

−4y=−2

Then solve−4y=−2for y:

Divide both sides by -4.

y = -1/2.

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

2x+3y=16

Substitute 1/2 for y in2x+3y=16:

2x+3(1/2)=16

2x+3/2=16

2x=29/2

x=29/4

b) explanation:

Multiply the first equation by -2,and multiply the second equation by 1.

Becomes: −4x−6y=−34 and 5x+6y=32

Add these equations to eliminate y:

x=−2

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

2x+3y=17

Substitute −2 for x in2x+3y=17:

(2)(−2)+3y=17

3y−4=17

3y−4+4=17+4 (Add 4 to both sides)

3y=21

Divide by 3.

y= 7

(∩^o^)⊃━☆

Answer:

y = \(\frac{3}{2}\)x-3 ; Graph C

2x + 6y = -6 ; Graph A

y = \(\frac{1}{2}\)x + 2; Graph B

Providing an explanation of the 12 states with the highest crime rate in 2022 would require access to recent crime rate data

I apologize, but as an AI language model, I don't have real-time data or access to the internet to provide you with the specific crime rates for the year 2022 or the average crime rates in America during the year 2016. My training only goes up until September 2021, and I don't have access to specific crime rate statistics.

To obtain the most up-to-date and accurate information on crime rates, I recommend referring to reliable sources such as official government websites, law enforcement agencies, or reputable crime research organizations. These sources regularly publish crime statistics for different regions and time periods.

Additionally, providing an explanation of the 12 states with the highest crime rate in 2022 would require access to recent crime rate data. Without the data, it is not possible to provide an accurate analysis or explanation. I encourage you to consult the aforementioned sources for the latest crime rate information.

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Answer:

Reflection across the x-axis

Step-by-step explanation:

The points are the same, just opposite of one another. The image looks as if it is a reflection. Think of the x-axis like a puddle and the shape looking into it; try to picture the image seeing its reflection to help.

Answer:

Reflection across the x-axis.

Step-by-step explanation:

The triangles mirror each other with the x-axis acting like said mirror.

Answer:

B

Step-by-step explanation:

Answer:

$212.31

Step-by-step explanation:

divide $36,080 by 52 weeks in a year. you get $693.84 weekly.

divide $47,120 by 52 weeks in a year. you get $906.15 weekly.

then subtract 906.15 from 693.84 and you get 212.31

Therefore, the surface represented by the given equation is a sphere centered at the origin with a radius of 6 units.

The given equation rho^2(sin^2(φ)sin^2(θ) + cos^2(φ)) = 36 represents a surface in spherical coordinates. Let's break down the equation to identify the surface:

ρ^2(sin^2(φ)sin^2(θ) + cos^2(φ)) = 36

Here, ρ represents the radial distance, φ is the polar angle, and θ is the azimuthal angle.

By analyzing the equation, we can see that it combines both the azimuthal and polar angles. The terms sin^2(φ)sin^2(θ) and cos^2(φ) involve both angles.

The equation ρ^2(sin^2(φ)sin^2(θ) + cos^2(φ)) = 36 describes a sphere centered at the origin with a radius of 6 units. The constant value of 36 indicates that the squared radial distance from the origin to any point on the surface is 36.

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ok

1.- Convert 1 m to mm

1 m ------------------ 100 cm 10 mm ------ 1 cm

there are 10 x 100 = 1000 mm in a meter

2.- Convert 35 cm into mm

10 mm -------------- 1 cm

x -------------- 35 cm

x = (35 x 10) / 1

x = 350 mm

3.- Total = 1000 + 350 = 1350 mm

The answer is H. 1350 mm

The final cost of the item after a 35% discount and 9.8% sales tax is $53.54.

The given problem is related to percentage discounts and sales tax and can be solved using the following steps:

Step 1: Firstly, we need to determine the discount amount, which is 35% of the original price. Let's calculate it. Discount = 35% of the original price = 0.35 x $75 = $26.25

Step 2: Now, we will calculate the new price after the discount by subtracting the discount amount from the original price.New Price = Original Price - Discount AmountNew Price = $75 - $26.25 = $48.75

Step 3: Next, we need to calculate the amount of sales tax. Sales Tax = 9.8% of New Price Sales Tax = 0.098 x $48.75 = $4.79

Step 4: Finally, we will calculate the final cost of the item by adding the new price and the sales tax.

Final Cost = New Price + Sales Tax Final Cost = $48.75 + $4.79 = $53.54

Therefore, the final cost of the item after a 35% discount and 9.8% sales tax is $53.54.I hope this helps!

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Answer:

127.3

Step-by-step explanation:

​

T≈127.333≈127.3

∘

Answer:

He multiplied both sides by 5.

He should have divided instead.

Answer:

30/7

Step-by-step explanation:

use desmos ( look it up(

Answer:

1.8

Step-by-step explanation:

27 miles per hour

so 27 divided by 15

im pretty sure that’s correct.

The solution of the system of equation by substitution is x = 3 and y = -1.

System of equation can be solved using different techniques such as substitution method, elimination method and graphical method.

Let's solve the system of equation by substitution method

Therefore,

3x + 2y = 7

x = 3y + 6

Substitute equation(ii) in equation(i)

3(3y + 6) + 2y = 7

9y + 18 + 2y = 7

9y + 2y + 18 = 7

11y = 7 - 18

11y = -11

y = -11 / 11

y = -1

Hence, let's find x

x = 3(-1) + 6

x = -3 + 6

x = 3

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