First to answer will be marked BRAINLIEST and I will give THANKS, please answer the questions directly.

Answer:

either y= 5x-3 or y= 3x-3

Step-by-step explanation:

It is likely is it to snow tomorrow in the mountains is 1/4

A chance is the occurrence of events without apparent purpose or cause. It is simply the possibility that something will happen. When chance is defined in mathematics, it is called probability. Probability is the extent to which an event is likely to occur, measured by the ratio of favorable cases to the total number of possible cases. Mathematically, the probability that an event occurs is equal to the ratio of the number of cases favorable to a particular event to the number of all possible cases. The theoretical probability of an event is referred to as P(E). P(E) = number of outcomes more favorable to E/Nnumber of all possible outcomes of the experiment

We need to find that what is the chance that it will snow tomorrow in the mountains

According to the weather report, there is a 25% chance of snow in the mountains tomorrow.

Therefore the possible chance that it will snow tomorrow is 25/100 = 1/4

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Answer:

m = 7

Step-by-step explanation:

The 3 given angles lie on a straight line, thus sum to 180° , then

8m - 4 + 90 + 5m + 3 = 180, that is

13m + 89 = 180 ( subtract 89 from both sides )

13m = 91 ( divide both sides by 13 )

m = 7

the probability of obtaining a sample mean within 500 of the population mean is approximately 0.6827.

To solve this problem, we need to use the central limit theorem which states that the distribution of the sample means will be approximately normal with mean equal to the population mean and standard deviation equal to the population standard deviation divided by the square root of the sample size.

Given that the population mean is 51800 and the population standard deviation is 4000, we can calculate the standard error of the mean as follows:

Standard error of the mean = 4000 / sqrt(64) = 500

We want to find the probability of obtaining a sample mean within 500 of the population mean. This can be written as:

P(51800 - 500 < X < 51800 + 500)

where X is the sample mean.

We can standardize this interval using the standard error of the mean:

P(-1 < Z < 1)

where Z is a standard normal variable.

Using a standard normal table, we find that the probability of Z being between -1 and 1 is approximately 0.6827.

Therefore, the probability of obtaining a sample mean within 500 of the population mean is approximately 0.6827.

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ФФФФФФФФФ↑↑→≅≅≅≅≅≅≅≅≅≅НЧШДЦ

Answer: a. $74.45

Step-by-step explanation: good luck

Answer:

Step-by-step explanation:

You want the measures of angles 'g' and 'k' as marked in the diagram.

The relevant angle relations here are ...

Angle g forms a linear pair with the one marked 131°. Its measure is ...

  g° = 180° -131°

  g° = 49°

Angle j° is a vertical angle with respect to angle g°, so has the same measure: 49°.

Together, angles j°, k°, m° total 180°. We also know that m° and the angle marked 125° are a linear pair, so total 180°

  j° +k° +m° = 180° = 125° +m°

  j° +k° = 125° . . . . . . . subtract m°

  k° = 125° -j° = 125° -49°

  k° = 76°

__

Additional comment

You will notice we did not need to know the value of m° in order to find k°. The relation between 125° and the sum f° and k° is described by "an exterior angle to a triangle is equal to the sum of the remote interior angles." Knowing this relation can save a bit of work, as it does here.

You may notice, too, that k° is the difference between the sum of 131° and 125°, and 180°: k° = 131° +125° -180° = 76°.

Other angles are ...

The angles in parallel lines are solved and the values of g and k are

g = 49° and k = 76°

Given data ,

Let the measure of angle ∠g = ∠g

Let the measure of ∠k = ∠k

Now , the measure of ∠m = 180° - 125° ( adjacent angles = 180° )

So , the measure of ∠m = 55°

Now , the measure of ∠g = 180° - 131° ( adjacent angles = 180° )

So , the measure of ∠g = 49°

And , the measure of ∠j = measure of ∠g ( opposite angles are congruent )

So , the measure of ∠j = 49°

And , in triangle , ∠j + ∠m + ∠k = 180°

So , the measure of ∠k = 180° - ( 49° + 55° )

The measure of ∠k = 76°

Hence , the measure of angles are ∠g = 49° and ∠k = 76°

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The volume of the solid formed by rotating the region inside the first quadrant enclosed by the curves y = x and y = 5x about the x-axis is (250π/7) cubic units. When finding the volume of a solid of revolution, we use the method of cylindrical shells.

To calculate the volume, we integrate the area of each cylindrical shell formed by rotating an infinitesimally small strip about the x-axis. The height of each shell is the difference between the y-values of the two curves, which is (5x - x²). The circumference of each shell is given by 2πx, and the thickness is dx. Therefore, the volume of each shell is 2πx(5x - x²)dx.

To find the total volume, we integrate this expression over the interval where the two curves intersect. Setting\(y = x^2\)and y = 5x equal to each other, we get x² = 5x. Solving this equation, we find two intersection points: x = 0 and x = 5. Thus, the limits of integration are from 0 to 5.

Integrating the expression \(2\pi x(5x - x^2)dx\) from 0 to 5 gives us the volume of the solid formed by rotating the region inside the first quadrant. Evaluating this integral, we find the volume to be (250π/7) cubic units.

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The simplified form of the expressions are 69-y/16 and -x/3 - 27 respectively

An algebraic equation can be defined as a mathematical statement in which two expressions are set equal to each other.

Given the following algebras

5-y/16 + 4

Find the LCM

5-y+4(16)/16

5-y+64/16
69-y/16

Hence the simplified form of the equation is 69-y/16

For the algebraic equation -3(x/8 + 9)

Expand

-3(x/8) + -3(9)
-3x/9 - 27

-x/3 - 27

Hence the simplified form of the expression is -x/3 - 27

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- The initial value is 0 since the system is at rest , the final value is 1 after the input is applied, the initial slope is undefined as there is an instantaneous change from 0 to 1 at t = 0.

The initial value refers to the value of the system at time t = 0. It represents the system's behavior before the unit step input is applied. In this case, since the system is subjected to a unit step input u(t) = 1(t), which means it jumps from 0 to 1 at t = 0, the initial value is 0.

The final value refers to the value of the system at a very large time, approaching infinity. It represents the steady-state behavior of the system after it has settled down. In this case, when the unit step input is applied, the system reaches a final value of 1, as it stays at that value indefinitely.
The initial slope refers to the rate of change of the system at t = 0. It represents how the system responds to the sudden change in input. In this case, since the unit step input causes an immediate jump from 0 to 1, the initial slope is undefined. This is because the system experiences an instantaneous change and there is no slope to describe the behavior at t = 0.

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The given system is subjected to a unit step input, u(t) = 1(t). To find the initial value, final value, and initial slope, we need to analyze the system's response over time.

1. Initial value: The initial value of the system is the output value at t = 0. To find it, we evaluate the output of the system when the input is u(t) = 1(t) at t = 0.

2. Final value: The final value of the system is the output value as time approaches infinity. In this case, as the unit step input u(t) = 1(t) remains constant after t = 0, the system will eventually settle into a steady-state response. We can find the final value by evaluating the output at a sufficiently large time.

3. Initial slope: The initial slope is the derivative of the output with respect to time at t = 0. We can find it by taking the derivative of the system's response equation with respect to time and evaluating it at t = 0.

Remember that the specific system's response equation and properties are needed to provide a more accurate analysis.

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Answer:

regular

Step-by-step explanation:

because an irregular polyhedron is formed by polygons of different shapes where all the components are not the same.

The limit of a function can be found using several methods depending on the form of the given function. To evaluate the given limit, we can use the limit formulas or L'Hôpital's rule where necessary.

(a) lims→1 (s³ - 1) / (s - 1) = 3:

To evaluate this limit, we can factorize the numerator as a difference of cubes:

s³ - 1 = (s - 1)(s² + s + 1)

Now, we can cancel out the common factor (s - 1) from the numerator and denominator:

lims→1 (s³ - 1) / (s - 1) = lims→1 (s² + s + 1)

Plugging in s = 1 into the simplified expression:

lims→1 (s² + s + 1) = 1² + 1 + 1 = 3

Therefore, the correct value of the limit lims→1 (s³ - 1) / (s - 1) is indeed 3.

(b) limx→1 (x² + 4x - 5) / (x - 1) = 10:

To evaluate this limit, we can apply direct substitution by substituting x = 1:

limx→1 (x² + 4x - 5) / (x - 1) = (1^2 + 4(1) - 5) / (1 - 1) = 0 / 0

Since direct substitution yields an indeterminate form of 0/0, we can apply L'Hôpital's rule:

Differentiating the numerator and denominator:

limx→1 (x² + 4x - 5) / (x - 1) = limx→1 (2x + 4) / 1 = 2(1) + 4 = 6

Therefore, the correct value of the limit limx→1 (x² + 4x - 5) / (x - 1) is 6.

(c) limx→144 (x - 12) / (x - 144) = -1/156:

To evaluate this limit, we can apply direct substitution by substituting x = 144:

limx→144 (x - 12) / (x - 144) = (144 - 12) / (144 - 144) = 132 / 0

Since the denominator approaches 0 and the numerator is non-zero, the limit diverges to either positive or negative infinity depending on the direction of approach. In this case, we have a one-sided limit:

limx→144+ (x - 12) / (x - 144) = +∞ (approaches positive infinity)

limx→144- (x - 12) / (x - 144) = -∞ (approaches negative infinity)

Therefore, the correct value of the limit limx→144 (x - 12) / (x - 144) does not exist. It diverges to infinity.

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Answer:

4x^3+4x^2

Step-by-step explanation:

f(x) = 4x^2

g(x) = x+1

(f•g)(x) = (4x^2) *(x+1) = 4x^3+4x^2

The curvature of the curve r(t) is \(\sqrt( 5 + 2t cos t + t^2 ) / (2 + t^2)^{(3/2)}\), and the radius of curvature is \((2 + t^2)^{(3/2)} / \sqrt( 5 + 2t cos t + t^2 ).\)

To find the curvature and radius of curvature of the curve r(t) = (cos t + sin t) i + (sin t - t cos t) j, t > 0, we need to compute the first and second derivatives of the curve:

r(t) = (cos t + sin t) i + (sin t - t cos t) j

r'(t) = (-sin t + cos t) i + (cos t + t sin t) j

r''(t) = (-cos t - sin t) i + (2cos t + t cos t - sin t) j

The magnitude of the vector r'(t) is:

\(| r'(t) | = \sqrt( (-sin t + cos t)^2 + (cos t + t sin t)^2 )= \sqrt( 2 + t^2 )\)

The curvature k is given by:

\(k = | r''(t) | / | r'(t) |^3\)

Substituting the expressions for r'(t) and r''(t), we get:

\(k = | r''(t) | / | r'(t) |^3\)

\(= | (-cos t - sin t) i + (2cos t + t cos t - sin t) j | / (2 + t^2)^{(3/2)}\)

\(= \sqrt( (cos t + sin t)^2 + (2cos t + t cos t - sin t)^2 ) / (2 + t^2)^{(3/2)}\)

Simplifying this expression, we get:

\(k = \sqrt( 5 + 2t cos t + t^2 ) / (2 + t^2)^{(3/2)}\)

To find the radius of curvature R, we use the formula:

R = 1 / k

Substituting the expression for k, we get:

\(R = (2 + t^2)^{(3/2)} / \sqrt( 5 + 2t cos t + t^2 )\)

Therefore, the curvature of the curve r(t) is \(\sqrt( 5 + 2t cos t + t^2 ) / (2 + t^2)^{(3/2)}\), and the radius of curvature is \((2 + t^2)^{(3/2)} / \sqrt( 5 + 2t cos t + t^2 ).\)

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The marginal distribution f(x,3)(2,3) of the random variables x and z

is approximately 0.167.

we first need to compute the marginal distribution f(x,z) by summing over all possible values of y. The given joint distribution function is

\( f(x,y,z) = xy^2z / 180.\)
To compute f(x,z), we sum over all possible values of y:
\(f(x,z) = Σ [f(x,y,z)]\) for all values of y.
For the given values of x = 2 and z = 3:
\(f(2,3) = Σ [f(2,y,3)]\) for y = 1, 2.
\(f(2,3) = f(2,1,3) + f(2,2,3).\)
Now, we'll compute the joint distribution values:
\(f(2,1,3) = (2 * 1^2 * 3) / 180 = 6 / 180.\)
\(f(2,2,3) = (2 * 2^2 * 3) / 180 = 24 / 180.\)
Then, sum the values:
\(f(2,3) = (6 / 180) + (24 / 180) = 30 / 180.\)
Now, we'll round off to the third decimal place:
\(f(2,3) ≈ 0.167\)  (rounded to three decimal places).
So, the marginal distribution f(x,3)(2,3) of x and z is approximately 0.167.

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Answer:

285°

Step-by-step explanation:

You have probably learned bearing in geography and maybe even mathematics.

First off, skip the Y part since the answer you're looking for have nothing to do with it.

So, 180°+105°=285°

Those red-colored angles.. they have the same angle.

That's cause they're alternate angles and alternate angle are equal.

That arrow-like thing is to proove that they're parallel.

The basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.

The given piecewise-defined function f(x) has different expressions for different intervals. For x greater than or equal to zero, f(x) takes the value of x. For x less than zero, f(x) is equal to -x. We need to find a basic function that captures this behavior.

Among the options provided, f(x) = |x| is equivalent to the given piecewise function. The absolute value function, denoted by |x|, returns the positive value of x regardless of its sign. When x is non-negative, |x| equals x, and when x is negative, |x| is equal to -x, mirroring the conditions of the piecewise-defined function.

The function f(x) = |x| represents the absolute value of x and matches the behavior of the given piecewise-defined function, making it the equivalent basic function.

In summary, the basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.

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Step-by-step explanation:

x - 1 + 5x = 23

6x - 1 = 23

6x = 23 + 1 = 24

6x = 24

x = 24/6

x = 4 ans.

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Ralph will store 3/20 gallons of paint in each container.

Explain gallons

Gallons are a unit of measurement commonly used for liquids, especially in the United States. One gallon is equal to 128 fluid ounces or approximately 3.785 liters. It is used to measure the volume of liquids such as gasoline, milk, and water, and is often used in cooking, construction, and manufacturing industries.

According to the given information

To divide 3/4 gallons of paint equally among 5 containers, we need to perform the division (3/4)/5:

(3/4)/5 = 3/4 × 1/5 = 3/20

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Answer:

Step-by-step explanation

To find the answer you would have to divide 3/4 gallons of paint equally among 5 containers, we need to perform the division (3/4)/5:

(3/4)/5 = 3/4 × 1/5 = 3/20

Ralph will store 3/20 gallons of paint in each container.

The SDE satisfied by the process f (S 1(t)) is μ1dt + σ1dW(t). The process followed by f(S2(t)) is (μ2/S2(t))dt + (σ2/S2(t))dW(t). The SDE satisfied by Y(t) is (μ1- μ2)dt + (σ1^2 + σ2^2) / 2 dW(t). The stochastic process Y(t) is an Ornstein-Uhlenbeck process. The parameters of this process are as follows: Mean = 0,  Variance = (σ1^2 + σ2^2) / 2,  Reversion rate = μ1 - μ2

a) For f (x) = log x, the SDE satisfied by the process f(S1(t)) is obtained as follows: df(S1(t)) = df(S1(t)) / dS1(t) × dS1(t)

In the given problem, f (S1(t)) = log(S1(t)).

Thus, df(S1(t)) = (1/S1(t)) × dS1(t)

Substituting S1(t) in the given SDEs, we get

dS1(t) = μ1S1(t)dt + σ1S1(t)dW(t)

Substituting the value of dS1(t) in df(S1(t)), we get

df(S1(t)) = (1/S1(t)) × (μ1S1(t)dt + σ1S1(t)dW(t))

Simplifying the above equation, we get

df(S1(t)) = (μ1dt + σ1dW(t))

b) The process followed by f(S2(t)) can be obtained as follows:

f(S2(t)) = log(S2(t))d[f(S2(t))] = d[log(S2(t))]d[f(S2(t))] = (1/S2(t))dS2(t)

Substituting the value of dS2(t) in the above equation, we get

d[f(S2(t))] = (μ2/S2(t))dt + (σ2/S2(t))dW(t).

Thus, the process followed by f(S2(t)) is given by

d[f(S2(t))] = (μ2/S2(t))dt + (σ2/S2(t))dW(t)

c) The SDE satisfied by Y(t) = g(S1(t),S2(t)) = ln(S1(t)/S2(t)) when μ = μ1 = μ2 is obtained as follows:

Given: dS1(t) = μS1(t)dt + σ1S1(t)dW(t)

          dS2(t) = μS2(t)dt + σ2S2(t)dW(t)

Therefore, ln(S1(t)/S2(t)) can be rewritten as ln(S1(t)) - ln(S2(t)).

Substituting the values of dS1(t) and dS2(t), we get

d(ln(S1(t)/S2(t))) = (μ1- μ2)dt + (σ1^2 + σ2^2) / 2 dW(t)

The stochastic process Y(t) is an Ornstein-Uhlenbeck process. The parameters of this process are as follows: Mean = 0,  Variance = (σ1^2 + σ2^2) / 2,  Reversion rate = μ1 - μ2

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Answer:

5 and 6

Step-by-step explanation:

-5 x 6 = -30

-5 + (6) = 1

x2 + 1x - 30 = 0

(X - 5 ) (X + 6)

To summarize, since -5 and 6 multiply to -30 and add up 1, you know that the following is true:

x2 + 1x - 30 = (X - 5 ) (X + 6)

Answer:

slope = y'-y/x' - x

= 2-(-2)/3-2

=2+2 /1

=4

slope = 4

The image of point P(4,6) after a reflection over the x-axis is given as follows:

P'(4,-6).

The coordinates of the point P in this problem are given as follows:

P(4,6).

Meaning that:

The rule for a reflection over the x-axis is given as follows:

(x,y) -> (x,-y).

Meaning that the x-coordinate remains constant, while the y-coordinate has the signal exchanged.

Applying the rule, the coordinates of the image are given as follows:

Then the coordinates of the image after the reflection are given as follows:

P'(4,-6).

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\(f\left(x\right)=-1\left(x+1\right)^{2}+25\)

If you need to do functions like this use desmos graphing calculator.

Answer:

x = 12

Step-by-step explanation:

67+42+6x-1=180

108+6x=180

6x=72

x=12

Answer:

3

Step-by-step explanation:

7 7/8÷51/4

3/2÷1/2

3

A=bh1/2

A=5 1/4×3×1/2

A=15 3/4×1/2

A= 7 7/8

(Mark as brainliest please)

Answer:

13 hours 55 minutes

Step-by-step explanation:

A train leaves at 5:35

The train arrives at its destination at 18:20

Therefore the time interval between 5:35 and 18:20 is

13 hours 55 minutes

Hence the journey is 13 hours 55 minutes long

Answer:

try 90 decided by 8 maybe that'll help