fr33 points guys :3 first answer gets brainliest

Answer:

Step-by-step explanation:

Answer:

\( ST = 5\sqrt{2} \)

Step-by-step explanation:

Given:

S(-3, 10)

T(-2, 3)

Required:

ST

SOLUTION:

Use the distance formula, \( \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \), to find ST.

Where,

\( S(-3, 10) = (x_1, y_1) \)

\( T(-2, 3) = (x_2, y_2) \)

\( ST = \sqrt{(-2 -(-3))^2 + (3 - 10)^2} \)

\( ST = \sqrt{(1)^2 + (-7)^2} \)

\( = \sqrt{1 + 49} \)

\( = \sqrt{50} = \sqrt{25*2} \)

\( ST = 5\sqrt{2} \)

Answer:

9 * pi inches squared

Step-by-step explanation:

Answer:

A ≈ 418.9 cm²

Step-by-step explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

  = πr² × \(\frac{120}{360}\) ( r is the radius )

 = π × 20² × \(\frac{1}{3}\)

 = \(\frac{400\pi }{3}\)

 ≈ 418.9 cm² ( to the nearest tenth )

The probability that a student studied for 4 hours is 0.3.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event. Probability for Class 10 is an important topic for the students which explains all the basic concepts of this topic. The probability of all the events in a sample space adds up to 1.

To determine the probability;

The number of students that has 4 hours is 9

The total number of students are 30.

Pr(4 hours) = 9/30

Pr(4 hours) = 0.3

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The rate of change of the radius of the spherical balloon when the radius is 3 inches is 1/6π in/min.

The rate of change of the radius of the spherical balloon when the radius is 3 inches is 1/6π in/min.

Explanation:The volume V of a sphere of radius r is given by the formula

V = (4/3)πr³

Differentiating both sides of the equation with respect to time t (using the chain rule), we get

dV/dt = 4πr² (dr/dt)

We know that

dV/dt = 6 in³/min (given in the problem statement) and r = 3 in (given in the problem statement)

Therefore,6 = 4π(3²) (dr/dt)

dr/dt = 6 / (4π × 9)

dr/dt = 1 / (6π/4)

dr/dt = 4/6π

= 2/3π in/min

So, the rate of change of the radius of the spherical balloon when the radius is 3 inches is 1/6π in/min.

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To compute the values of (r) and (x) for the different states of the harmonic oscillator, we need to consider the wavefunction solutions for each state.

The wavefunctions for the harmonic oscillator are given by Hermite polynomials multiplied by a Gaussian factor. The energy eigenvalues for the harmonic oscillator are given by (n + 1/2) * h * ω, where n is the quantum number and ω is the angular frequency of the oscillator. (a) Ground State: The ground state of the harmonic oscillator corresponds to n = 0. The wavefunction for the ground state is: ψ₀(x) = (mω/πħ)^(1/4) * exp(-mωx²/2ħ), where m is the mass of the oscillator. In this state, the energy (E₀) is equal to 1/2 * h * ω. Therefore, for the ground state: (r) = 0 (since n = 0). (x) = √(ħ/(2mω)). (b) First Excited State:The first excited state corresponds to n = 1. The wavefunction for the first excited state is: ψ₁(x) = (mω/πħ)^(1/4) * √2 * (mωx/ħ) * exp(-mωx²/2ħ), where m is the mass of the oscillator. In this state, the energy (E₁) is equal to 3/2 * h * ω. Therefore, for the first excited state: . (r) = 1. (x) = √(ħ/(mω)). (c) Second Excited State:The second excited state corresponds to n = 2. The wavefunction for the second excited state is: ψ₂(x) = (mω/πħ)^(1/4) * (2(mωx/ħ)^2 - 1) * exp(-mωx²/2ħ)  where m is the mass of the oscillator. In this state, the energy (E₂) is equal to 5/2 * h * ω.

Therefore, for the second excited state: (r) = 2. (x) = √(ħ/(2mω)). In summary: (a) Ground State: (r) = 0, (x) = √(ħ/(2mω)). (b) First Excited State: (r) = 1, (x) = √(ħ/(mω)). (c) Second Excited State: (r) = 2, (x) = √(ħ/(2mω)).

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The 9 values between 0.65 and 0.66 can be calculated by dividing the range into 9 equal parts, giving each interval a width of 0.001111.

It is used to show the order, magnitude, and relative size of numbers. The numbers are represented as points on the line, with the smaller numbers on the left and the larger numbers on the right. The number line can be marked with equal intervals, and the distance between two numbers can be used to represent their difference. It is an essential tool in mathematics, particularly in arithmetic and algebra, and is used to graphically represent real numbers and other mathematical concepts, such as intervals, sets, and functions.

The 9 values between 0.65 and 0.66 can be calculated by finding equally spaced intervals. One approach is to divide the range between 0.65 and 0.66 into 9 equal parts. This would give each interval a width of (0.66 - 0.65)/9 = 0.001111...

Here are the 9 values between 0.65 and 0.66:

0.65 + 0.001111... = 0.651111...

0.65 + 2 * 0.001111... = 0.652222...

0.65 + 3 * 0.001111... = 0.653333...

0.65 + 4 * 0.001111... = 0.654444...

0.65 + 5 * 0.001111... = 0.655555...

0.65 + 6 * 0.001111... = 0.656666...

0.65 + 7 * 0.001111... = 0.657777...

0.65 + 8 * 0.001111... = 0.658888...

0.65 + 9 * 0.001111... = 0.66

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A subset S of a vector space X is linearly dependent if it can be expressed as a nontrivial linear combination resulting in the zero vector, otherwise it is linearly independent.

A subset S of a vector space X is linearly dependent if there are distinct vectors x1, x2, x3, ..., xn, and real numbers c1, c2, ..., cn (not all zero) such that the linear combination of these vectors is equal to the zero vector (c1x1 + c2x2 + c3x3 + ... + cnxn = 0).

This implies that S can be expressed as a nontrivial linear combination of its vectors resulting in a zero vector, indicating linear dependence.

On the other hand, if no such nontrivial linear combination exists, then S is linearly independent.

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Answer:

93

Step-by-step explanation:

The measure of ∠ABC is 124°, given that BX is an angle bisector to ∠ABC, and ∠XBC = 62°. Hence, 3rd option is the right choice.

A ray, segment, or line that splits a given angle into two equal angles is known as an angle bisector. When something is bisected, it is split into two equal sections. In geometry, an angle bisector is a line or ray that divides a triangle into two equal angles.

In the question, we are given that BX bisects ∠ABC, and are asked if the measure of ∠ABC is ∠XBC = 62°.

We assume the measure of ∠ABC to be x°.

As BX bisects ∠ABC, that is, BX is an angle bisector to ∠ABC, we know that ∠XBC = ∠XBA = 1/2 of ∠ABC = 1/2 of x° = (x/2)°.

Thus, ∠XBC = (x/2)°,

or, 62° = (x/2)°,

or, x = 62*2° = 124°.

Thus, the measure of ∠ABC is 124°, given that BX is an angle bisector to ∠ABC, and ∠XBC = 62°. Hence, 3rd option is the right choice.

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Answer: 81.85 km/hr

Converting m/sec into km/hr, 25 m/sec = 90 km/hr

Average =

Time = 50/90  =  5/9 hr

next 120 km at an average speed of 80km/h

=> Time = 120/80  = 3/2  hr

last part of its journey at an average speed of 90km/h in 35 Minutes

time = 35 minutes = 35/60 hr = 7/12 hr

Distance covered = 90 * 7 /12  = 105/2  km

Total Distance = 50 + 120  + 105/2  = 435/2 km

Total time = 5/9 + 3/2 + 7/12   =  ( 20 + 54 + 21) /36  = 95/36

Average speed =   (435/2)/(95 /36)  = 432 * 18  /95 = 81.85 km/hr

Answer:

120

Step-by-step explanation:

the pic was blury but the bigger rectangle seemed to be 10 by 8 so you multiply 10×8=80. the smaller rectangle is 5 by 8 so you multipy 5×8=40. then add 40+80=120

Answer:

120 sq cm

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

54 divided by 9 = 6 90 divided by 6 = 15

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:

-11w^2+13

Step-by-step explanation:

(-13w^2+13)-(-2w^2)

Distribute the minus sign

-13w^2+13+2w^2

Combine like terms

-13w^2+2w^2+13

-11w^2+13

Answer:

\(x + 3y = 6 - - - (a) \\ 2x + 8y = - 12 - - - (b) \\ 2 \times (a) - (b) : \\ 0x - 2y = 24 \\ y = 12 \\ x + (3 \times - 12) = 6 \\ x = 42 \\ { \boxed{x = 42}} \\ { \boxed{y = 12}}\)

The steps to grapj the given equation y – 4 = y minus 4 equals StartFraction one-third EndFraction left-parenthesis x plus 2 right-parenthesis.(x + 2) is C.

Given

y - 4 = (1/3) (x+ 2)

The steps should be used to graph the equation is given below:

y - 4 = (1/3) (x+ 2)

y - 4 = 0 => y = 4

x + 2 = 0 => x = -2

Plot point ( - 2 , 4)

count left 3 units and down 1 unit and plot a second point.

as for every 3 units change in x, there is one unit change in y

x going left  & y going down is the same direction

Draw a line through the two points.

Therefore, the correct answer is option C.

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answer: 2

explanation: womp womp

1. You cancel your plans and stay up all night cramming. You risk being tired during the test, but you think you can cram enough to just maybe pull this off.

   - Risk Response: Mitigation. You're taking an active step to lessen the impact of the risk (not being prepared for the exam) by trying to learn as much as possible in a limited time.

2. You cancel your plans and study for two hours before your normal bedtime and get a good night's rest. Maybe that is going to be enough.

   - Risk Response: Mitigation. You're balancing your time to both prepare for the exam and also ensuring you get a good rest to function properly.

3. You go to dinner but come home right after to study the rest of the night. You think you can manage both.

   - Risk Response: Mitigation. Similar to option 2, you're trying to manage your time to have both leisure and study time.

4. You go to dinner and stay out with your friends afterward. It is going to be what it is going to be, and it is too late for whatever studying you can do to make any difference anyway.

   - Risk Response: Acceptance. You're accepting the risk that comes with not preparing for the exam and are ready to face the consequences.

5. You tell your friends you are sick and tell your professor you are too sick to attend class the next day. You schedule a makeup exam for next week and spend adequate time studying for it.

   - Risk Response: Avoidance. You're trying to avoid the immediate risk (the exam the next day) by rescheduling it for a later date.

6. You pay someone else to take the exam for you. (Note: it happens, although this is a terrible idea. Never do this! it is unethical, and the consequences may be severe.)

   - Risk Response: Transfer. Despite being an unethical choice, this is an attempt to transfer the risk to someone else by having them take the exam for you. Please note, this is unethical and can lead to academic expulsion or other serious consequences.

Answer:

it's the second option

Step-by-step explanation:

Answer:

Translate 2 units up and reflect over the line x = 1

Step-by-step explanation:

Yes, the business did better on the second campaign. Since a higher ROI or ROAS value indicates better performance, the business did better on the second campaign.

ROI stands for Return on Investment, which is a measure of profitability. It is calculated by dividing the net profit by the total investment and expressing it as a percentage.

In this case, the ROI for the first campaign was 3, indicating that the business generated three times the profit compared to the investment.

ROAS stands for Return on Advertising Spend, which is a measure of the effectiveness of advertising campaigns. It is calculated by dividing the revenue generated by the advertising campaign by the cost of that campaign.

In this case, the ROAS for the second campaign was 4, indicating that the business generated four times the revenue compared to the advertising cost.

Since a higher ROI or ROAS value indicates better performance, the business did better on the second campaign. The ROAS value of 4 is higher than the ROI value of 3, indicating that the second campaign was more effective in terms of generating revenue compared to the investment made.

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The ROI (Return on Investment) measures the profitability of an investment and is calculated by dividing the net profit by the cost of the investment.

The ROAS (Return on Advertising Spend) measures the effectiveness of an advertising campaign and is calculated by dividing the revenue generated by the advertising campaign by the cost of the campaign. Based on the information provided, it can be concluded that the business did better on the second campaign.


In this case, the business had an ROI of 3 for the first campaign and a ROAS of 4 for the second campaign.

To compare the two campaigns, we can look at the ratios.

For the first campaign, the ROI was 3, meaning that for every dollar invested, the business received 3 dollars in profit.

For the second campaign, the ROAS was 4, meaning that for every dollar spent on advertising, the business generated 4 dollars in revenue.

Comparing these two ratios, we can see that the second campaign had a higher return on advertising spend (ROAS) compared to the first campaign's return on investment (ROI). This suggests that the second campaign performed better in terms of generating revenue in relation to the advertising cost.

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The h(3.2) represents the height of the rock 3.2 seconds after it is propelled by the slingshot, which is 515.36 units.

The function h(t) = -16t^2 + 28t + 500 represents the height of a rock t seconds after it is propelled by a slingshot. To find out what h(3.2) represents, we substitute 3.2 for t in the function and evaluate the expression.

Plugging in t = 3.2, we get:

h(3.2) = -16(3.2)^2 + 28(3.2) + 500
      = -16(10.24) + 89.6 + 500
      = -163.84 + 89.6 + 500
      = -74.24 + 589.6
      = 515.36



In the context of the given function, the value h(3.2) represents the vertical position of the rock above the ground at 3.2 seconds. Since the coefficient of t^2 term (-16) is negative, the function represents a downward-opening parabola. The initial height of the rock is 500 units, and as time progresses, the height of the rock decreases due to the gravitational pull.

When we evaluate h(3.2), we find that the rock is at a height of 515.36 units at 3.2 seconds. This means that the rock has descended from its initial height and is now 515.36 units above the ground. The positive value indicates that the rock is still above the ground.

It is important to note that the unit of measurement for height is not specified in the given function, so we cannot determine the exact physical unit represented by "units".

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Answer:

The stationary matrix is:

S = [0.2791, 0.7209]

Step-by-step explanation:

The transition matrix, P is:

\(P=\left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right]\)

The stationary matrix S for the transition matrix P would be obtained by computing k powers of P until all the two rows of P are identical.

Compute P² as follows:

\(P^{2}=\left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right]\times \left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right]\)

    \(=\left[\begin{array}{cc}0.2932&0.7068\\0.2736&0.7264\end{array}\right]\)

Compute P³ as follows:

\(P^{3}=P^{2}\times P\)

    \(=\left[\begin{array}{cc}0.2932&0.7068\\0.2736&0.7264\end{array}\right]\times \left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right]\\\\=\left[\begin{array}{cc}0.2810&0.7190\\0.2783&0.7217\end{array}\right]\)

Compute P⁴ as follows:

\(P^{4}=P^{3}\times P\)

    \(=\left[\begin{array}{cc}0.2810&0.7190\\0.2783&0.7217\end{array}\right]\times \left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right]\\\\=\left[\begin{array}{cc}0.2793&0.7207\\0.2790&0.7210\end{array}\right]\)

Compute P⁵ as follows:

\(P^{5}=P^{4}\times P\)

    \(=\left[\begin{array}{cc}0.2793&0.7207\\0.2790&0.7210\end{array}\right]\times \left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right]\\\\=\left[\begin{array}{cc}0.2791&0.7209\\0.2791&0.7209\end{array}\right]\)

For k = 5, we get both the rows identical.

The stationary matrix is:

S = [0.2791, 0.7209]

Answer:

5^8/5^6 = 5^(8-6) = 5^2 = 25. Therefore, 5^8/5^6 simplified to a single power of 5 is 25.

Step-by-step explanation:

Answer:

the answer for that is 5^6-3 = 5^3 = 125

Step-by-step explanation:

The polynomial function f(x) = x³ - 5x² - 61x - 55 has the following

Real zeros: x = -5, x = -1, and x = 11.  

To find the rational zeros of a polynomial, we use the rational zeros theorem. We look at the factors of the leading coefficient and the factors of the constant coefficient.

The  states that if a polynomial function is defined as P(x) = anxn + an-1xn-1 + ... + a1x + a0 with integers, then each rational zero of the polynomial can be expressed in the form p/q where p is a factor of a0 and q is a factor of an.

For example, if P(x) = 2x³ - 5x² + 3x + 6 then p can be any factor of 6 and q can be any factor of 2.

The factors of the leading coefficient, 1, and the factors of the constant coefficient, -55, are: ±1, ±5, ±11, ±55. So the possible rational zeros are: ±1, ±5, ±11, ±55, ±1/1, ±5/1, ±11/1, ±55/1, ±1/1, ±5/1, ±11/1, ±55/1.

Simplifying the results, we have that the potential rational zeros are: ±1, ±5, ±11, ±55, ±1, ±5, ±11, and ±55.

By testing each possible rational zero, we find that x = -5, x = -1, and x = 11 are the real zeros of f(x).

Hence, using synthetic division, we get:

(x + 5)(x + 1)(x - 11) = x³ - 5x² - 61x - 55

Thus, the function can be factored over the real numbers as

f(x) = (x + 5)(x + 1)(x - 11).

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The distributive Property States that when a factor exists multiplied by the sum/addition of two terms, it exists critical to multiply each of the two numbers by the factor, and eventually complete the addition operation.

Let the expression be 4+(6+8u)

4 + (6 + 8u) = (4 + 6) + 8u

The distributive Property States that when a factor exists multiplied by the sum/addition of two terms, it exists critical to multiply each of the two numbers by the factor, and eventually complete the addition operation.

Adding (distributing) the first numbers of each set, outer numbers of each set, inner numbers of each set, and the last numbers of each set. Combine like terms. Solve the equation and simplify, if needed.

The expression be 4+(6+8u)

4+(6+8u) = (4 + 6)+8u

Therefore, the correct answer is distributive property.

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In conclusion, the function f(x) = x^(1/lnx) is always positive and approaches 0 as x approaches 0+ and approaches 1 as x approaches ∞. The equation x^(1/lnx) = 2 has no solution.

To show that the equation x^(1/lnx) = 2 has no solution, we can analyze the properties of the function f(x) = x^(1/lnx) and examine its behavior.

Let's consider the domain of the function f(x). Since we have a logarithm in the denominator, we need to ensure that x is positive and not equal to 1, so x > 0 and x ≠ 1.

Now, let's investigate the behavior of f(x) as x approaches 0 from the positive side (x → 0+). In this case, ln(x) approaches negative infinity, and the exponent 1/ln(x) approaches 0. Therefore, f(x) approaches 0 as x approaches 0+.

Next, let's examine the behavior of f(x) as x approaches positive infinity (x → ∞). In this case, ln(x) approaches infinity, and the exponent 1/ln(x) approaches 0. Therefore, f(x) approaches 1 as x approaches ∞.

Considering the behavior of the function, we see that it is always positive (since x^(1/lnx) is positive for positive x) and approaches 0 as x approaches 0+ and approaches 1 as x approaches ∞.

Now, let's consider the equation x^(1/lnx) = 2. If such an x exists as a solution, it would mean that there is a point where the function f(x) equals 2. However, based on the behavior of the function described above, we can see that f(x) can never equal 2. Therefore, the equation x^(1/lnx) = 2 has no solution.

In conclusion, the function f(x) = x^(1/lnx) is always positive and approaches 0 as x approaches 0+ and approaches 1 as x approaches ∞. The equation x^(1/lnx) = 2 has no solution.

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INFORMATION:

We know that:

- stack of mail consists of 8 bills, 10 letters, and 6 advertisements.

- One piece of mail is drawn at random and put aside. Then a second piece of mail is drawn.

And we must find P (both are letters)

STEP BY STEP EXPLANATION:

To find the probability, we need to know that we have two events. First, when one piece of mail is drawn at random and put aside and, second, when a second piece of mail is drawn.

These two events are dependent. If A and B are dependent events, P(A and B) = P(A) • P(B after A) where P(B after A) is the probability that B occurs after A has occurred.

So, first

- Probability of A (the first piece is letter)

- Probability of B after A

Since A already occurred and one piece of the mail was drawn (a letter), now in total we would have 9 letter and 23 total pieces

Finally, replacing in the initial formula

Finally, the probability would be 0.1630

ANSWER:

P (both are letters) = 0.1630

Answer:

60

Step-by-step explanation1

135 = 2x+15 => corresponding angles

2x= 135-15

2x= 120

x= 60

Answer:

The function rule is y = (2/3)x - 5.

Step-by-step explanation:

Let's assume for now that the function is a linear one. Then y = mx + b.

As we move from (0, -5) to (3, -3), x increases by 3 and y increases by 2.

Thus, the slope of this line is m = rise / run = 2/3.

Then our y = mx + b becomes y = (2/3)x + b, or -5 = (2/3)(0) + b.

Thus, b = -5, and the equation is y = (2/3)x - 5.

Now let's check this result. When x = 6, does the equation predict y = -1?

y = (2/3)(6) - 5 = 4 - 5 = -1. YES

The function rule is y = (2/3)x - 5.

The Area Of The Circle Is 452.16

The Circumference Of The Circle Is 75.36