What is the constant of proportionality (k) for the table below?

in essence, how many times does 2/3 go into 9?  well, is just a division, so

\(9\div \cfrac{2}{3}\implies \cfrac{9}{1}\div \cfrac{2}{3}\implies \cfrac{9}{1}\cdot \cfrac{3}{2}\implies \cfrac{27}{2}\implies 13\frac{1}{2}\)

Answer:

25 degrees below zero, -3, 32, 34, 78

Answer:

15

Step-by-step explanation:

15 is your answer

Answer:

Your answer is 15

hope this helps

Answer:

A.

Step-by-step explanation:

This is the answer to your problem

Answer:

1. Standard form (d.)

2. Factored form (a.)

3. Vertex form (b.)

4. Quadratic formula (c.)

Answer:

P(odd or at most 14)

Answer: (a) 7/27, 0.2593, 25.93%

P(king)

Answer: (d) 13/52

P(spade or heart)

Answer: (b) 1/2

Answer: C

Step-by-step explanation:

Answer: I think the answer is A.

Step-by-step explanation:

Answer: 56

Step-by-step explanation:

Given that :

Marbles in bag are only red and blue ;

Probability of randomly choosing a red = 2/7

Number of red marbles in bag = 16

The total Number of marbles =?

P(choosing a red marble) = required outcome / Total possible outcomes

Required outcome = number of red marbles

Total possible outcomes = total number of blue and red marbles

Total number of blue and red marbles = x

P(choosing a red marble) = required outcome / Total possible outcomes

2/7 = 16 / x

Cross multiply

2x = 16 * 7

2x = 112

x = 112 / 2

x = 56 marbles

Total number of marbles = 56

Step-by-step explanation:

is "12x + 2" supposed to be the arc angle of UW ?

I assume so.

then per tangent secant angle theorem

6x + 4 = (154 - (12x + 2))/2 = (154 - 12x - 2)/2 = 77 - 6x - 1

12x + 4 = 77 - 1

12x = 72

x = 6

so, D is correct.

Answer:

Step-by-step explanation:

there is a total of 250 fliers. the simplist form is 99/250

Answer:80

Step-by-step explanation:it’s -19 then +33 so 85-19=66 and 66+33=99

Since we know that the heptagon is convex, all of its interior angles are less than 180 degrees. Let's call the smallest angle x degrees.

According to the problem, the other six angles are each 1 degree larger than the angle just smaller than it. This means the second angle is x+1, the third angle is x+2, and so on, until we get to the seventh angle which is x+6.

We know that the sum of the interior angles of a heptagon is (7-2) * 180 = 900 degrees. So we can set up an equation:

x + (x+1) + (x+2) + (x+3) + (x+4) + (x+5) + (x+6) = 900

Simplifying this equation, we get:

7x + 21 = 900

Subtracting 21 from both sides:

7x = 879

Dividing both sides by 7:

x = 125.57

So the smallest angle is approximately 125.57 degrees.

To find the fourth largest angle, we need to find the value of x+3.

x+3 = 125.57 + 3 = 128.57

So the fourth largest angle is approximately 128.57 degrees.

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The exponential model for this situation is: P(t) = 1,872(1 + 0.016)^t

To write an exponential model representing the given situation, we'll use the formula: P(t) = P₀(1 + r)^t, where P(t) is the population at time t, P₀ is the initial population, r is the growth rate, and t is the number of years.

Where p is the population at any given year t, 1,872 is the initial population, and 1.6% increase is represented by multiplying 1.016 to the power of t. This model assumes continuous and unrestricted growth of the population.

So, the exponential model for this situation is:

P(t) = 1,872(1 + 0.016)^t

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Answer:

given in picture

Step-by-step explanation:

(-2,10) (-1,7) (0,4) (1,1) (2,-2) (3,-5)

Answer:

36

Step-by-step explanation:

2 envelopes x 3 drawers = 6 envelopes.

Each envelope has six stickers.

6 x 6 = 36

Answer:

36

Step-by-step explanation:

Answer:

The Great Western Trail = 4,455 miles

Step-by-step explanation:

The Iditarod Trail = 1,025 miles long

The Great Western Trail is 355 miles longer than 4 times the length of the Iditarod Trail.

The Great Western Trail = (4 × 1,025) miles + 355 miles

= 4,100 miles + 355 miles

= 4,455 miles

The Great Western Trail = 4,455 miles

Spherical harmonics are an integral part of quantum mechanics. They describe the shape of the orbitals, which electrons occupy in atoms. Moreover, the spherical harmonics provide the angular distribution of a wave in spherical coordinates. In 3D, the spherical harmonics can be written as:

Ylm(θ, φ) = √(2l + 1)/(4π) * √[(l - m)!/(l + m)!] * Plm(cosθ) * e^(imφ)

Here, l and m are known as the angular quantum numbers. They define the shape and orientation of the orbital. Plm(cosθ) represents the associated Legendre polynomial, and e^(imφ) is the exponential function. The spherical harmonics have various forms, including:

Y1,1 = -Y1,-1 = 1/2 √(3/2π) sinθe^(iφ)

Y1,0 = 1/2 √(3/π)cosθ

Y2,2 = 1/4 √(15/2π)sin²θe^(2iφ)

Y2,1 = -Y2,-1 = 1/2 √(15/2π)sinθcosφ

Y2,0 = 1/4 √(5/π)(3cos²θ-1)

Y0,0 = 1/√(4π)

The spherical harmonics have various applications in physics, including quantum mechanics, electrodynamics, and acoustics. They play a crucial role in understanding the symmetry of various systems. Hence, the spherical harmonics are an essential mathematical tool in modern physics. Thus, this is how one can show another form for spherical harmonics.

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Answer:

2

Step-by-step explanation:

2x(5+4)=(_x5)+(_x4)

lets start with 2x(5+4)

(5+4)=9

so we are left with 2x9

2x9=18

so now we have 18=(_x5)+(_x4)

lets try 2 for the blank spaces

18=(2x5)+(2x4)

2x5=10

2x4=8

10+8=18

2x(5+4)=(2x5)+(2x4)

It worked! Hope this helps :)

Answer:

Both blanks equal 2.

Step-by-step explanation:

2*5=10

2*4=8

10+8=18

9*2=18

Answer:

[tex)63^{\circ}\)

Step-by-step explanation:

\(m\angle EHF+27^{\circ}=90^{\circ} \implies m\angle EHF=63^{\circ}\)

Answer:

Since this is a 90 degrees right angle, and FHG is 27 degrees, we can subtract. 90 - 27 is 63.
Line EHF is 63 degrees

Step-by-step explanation:

Answer:

Large boxes are 18.25 kg

Small boxes are 15.25 kg

Step-by-step explanation:

This is a system of equations. You need to set up each equation first.

I am assigning x to be big boxes and y to be small boxes.

5x + 3y = 137

2x + 6y = 128

To solve, you will need to eliminate a variable. That means you will have to multiply one of the equations by a number to make it so a variable will be eliminated. I will be multiplying the top equation by -2.

-2 ( 5x + 3y = 137)

    2x + 6y = 128

Distribute the -2 to everything in the parentheses in the first equation.

-10x - 6y = -274

2x + 6y = 128

Notice the 6y will go away because -6y + 6y = 0. Now add the equations together. The remaining equation is:

-8x = -146

Solve for x by dividing by -8.

x = 18.25

Now plug that into one of the original equations.

2(18.25) + 6y = 128.

36.5 + 6y = 128                Subtract 36.5 from each side

-36.5            -36.5

6y = 91.5                          Divide by 6 to solve

y = 15.25

\(2ay + 3az = 2dx + 3dy\)

\(2ay - 3dy = 2dx - 3az\)

\(y(2a - 3d) = 2dx - 3az\)

\(y = \frac{2dx - 3az}{2a - 3d} \\ \)

A procedure that is especially likely to result in strong emotional responses such as crying or other displays of distress is the administration of a painful or uncomfortable stimulus.

When individuals experience pain or discomfort, it is common for them to display strong emotional responses such as crying or distress. This is because pain is a powerful stimulus that triggers both physiological and emotional reactions.

Various procedures can elicit such emotional responses, particularly those involving painful or uncomfortable stimuli. For example, medical procedures like injections, surgeries, or dental treatments that involve physical discomfort can lead to strong emotional reactions.

Additionally, emotionally challenging situations such as receiving distressing news, experiencing traumatic events, or undergoing intense psychological interventions may also provoke strong emotional responses.

The intensity of emotional responses can vary depending on individual differences, past experiences, and the specific context in which the procedure or stimulus is encountered. It is important to provide appropriate support and care to individuals who may experience these emotional reactions to ensure their well-being and emotional comfort.

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Explanation:

The sign of the product of any odd number of negative integers is positive because when two minuses are multiplied with each other, it will result in a positive number.

For example:

Hoped this helped!

Answer:

fjhvhhgvc

Step-by-step explanation:

hihihihihihihihihihihihihihihihihhiihihibihihihihiihihhiihihihihihhihihihihihihihhiihhihihihihihihihihihihihihihihhihihiihihihihihihihihihihihihihihihhihiihihihhihiihihhhhhhhhhhhhhhhhhhhhhhhiiiiiiiiiiiiiiiiiiiihiih

What I think about the problem is that there are no specific rules to tackle it, but with careful analysis I have deduced the answer for the total dots in the 50th hexagon to be 7701 dots.

To find the total number of dots in the 50th hexagon, we can use the formula for finding the number of dots in the nth hexagon, where n is the number of the hexagon. The formula is:

Dots = 3n^2 + 3n + 1

Substituting n = 50, we get:

Dots = 3 * 50^2 + 3 * 50 + 1

= 7550 + 150 + 1

= 7701

So, there are 7701 dots in the 50th hexagon.

To think about the problem, we can observe that each additional hexagon added to the previous one will add 3 dots to the total count. This is because each new hexagon adds 3 sides to the previous hexagon, each side having one dot. And, each new hexagon will also add one additional dot to the center.

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Answer:

y = 15x^3 + 16x^2 - 55x + 24

Step-by-step explanation:

y = (3x +8)(5x - 3)(x - 1)

y = (15x^2 - 9x + 40x -24) * (x - 1)

y = (15x^2 + 31x - 24) * (x-1)

y = 15x^3 - 15x^2 + 31x^2 - 31x - 24x + 24

The x-intercepts of a graph are the points where the graph crosses the x-axis.

The x-intercepts are: \(\mathbf{x = ,-\frac83, \frac 35\ and\ 1}\)

The function is given as:

\(\mathbf{y = (3x + 8)(5x - 3)(x - 1)}\)

First, we plot the graph of \(\mathbf{y = (3x + 8)(5x - 3)(x - 1)}\)

See attachment for the graph

Next, write out the x-values when the graph crosses the x-axis.

From the graph, we have:

\(\mathbf{x = -\frac 83}\)

\(\mathbf{x = \frac 35}\)

\(\mathbf{x = 1}\)

Hence, the x-intercepts are: \(\mathbf{x = ,-\frac83, \frac 35\ and\ 1}\)

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Explanation:

The given piecewise function is

\(f(x) = \begin{cases}-4x+3 \ \text{ if } \ x < 3\\-x^3 \ \text{ if } \ 3 \le x \le 8\\3x^2+1 \ \text{ if } \ x > 8\end{cases}\)

At first piecewise functions may be strange confusing things, but they aren't so bad. I like to think of it like this: f(x) is a function that changes its identity based on what the input x is. We have three situations

In a sense, we have three different functions but they are combined somehow.

If x is smaller than 3, then we go for the first definition. Or if x is between 3 and 8, then we go for the second definition. Or if x is larger than 8, then we go for the third definition.

-----------------------

f(-5) means f(x) when x = -5. We see that -5 is smaller than 3, so x = -5 makes x < 3 true. We'll use the first definition

f(x) = -4x+3

f(-5) = -4(-5)+3

f(-5) = 20+3

f(-5) = 23

------------------------

Now the input is x = 12. This is larger than 8. In other words, x = 12 makes x > 8 true. We'll use the third definition

f(x) = 3x^2+1

f(12) = 3(12)^2+1

f(12) = 3(144)+1

f(12) = 432+1

f(12) = 433

------------------------

Side notes:

A function that satisfies the condition of having its square plus the square of its derivative equal to 1 is given by f(x) = sin(x).

The function f(x) = sin(x) has the property that its square, sin^2(x), is equal to 1 when added to the square of its derivative, \($\frac{d}{dx}\sin(x))^2 = \cos^2(x)$\).

This can be seen by directly evaluating the expression: \(sin^{2}(x) + cos^{2}(x) = 1\), which is a fundamental identity in trigonometry.

The sine function is periodic with a period of 2π, and its derivative, cosine function, also has the same period. This means that for any x, the function sin(x) and its derivative cos(x) will satisfy the given condition.

Geometrically, the sine function represents the y-coordinate of a point on the unit circle as the corresponding angle is varied. Its derivative, the cosine function, represents the rate of change of this y-coordinate with respect to the angle. The squares of the sine and cosine functions add up to 1, which is the square of the radius of the unit circle. This property is fundamental in trigonometry.

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Answer: x=5 or x=−5

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

KM=4

KN=9

9-4=5

MN=5

NL=14

5+14=19