Plz help I will give brainliest

Answer:

1 + 3 (x - 5) = 3x - 14

Step-by-step explanation:

Given:

1 + 3 (x - 5)

Open parenthesis

= 1 + {(3 * x) - (3 * 5)}

= 1 + (3x - 15)

= 1 + 3x - 15

= 3x - 14

1 + 3 (x - 5) = 3x - 14

Using integration by substitution, the value of ∫31xf(x^2-1)dx is 6.

To solve this problem, we can use integral by substitution.

Let's set u = x^2 - 1, then du/dx = 2x, or dx = du / (2x).

Using this substitution, we can rewrite the integral as:

∫(3^2-1)^(8^2-1) f(u) * (du / 2)

Next, we can use the fact that f is continuous and the integral of f from 8 to 0 is 6. We can split the integral into two parts:

∫(3^2-1)^(8^2-1) f(u) * (du / 2) = ∫0^(8^2-1) f(u) * (du / 2) - ∫0^(3^2-1) f(u) * (du / 2)

The first integral on the right-hand side is the integral we're given:

∫0^(8^2-1) f(u) * (du / 2) = 6

The second integral can be rewritten using our substitution:

∫0^(3^2-1) f(u) * (du / 2) = ∫(3^2-1)^(0) f(u) * (du / 2)

Notice that we've switched the limits of integration, which means we need to negate the integral:

∫(3^2-1)^(0) f(u) * (du / 2) = -∫0^(3^2-1) f(u) * (du / 2)

Substituting back into our original integral and using these results, we get:

∫(3^2-1)^(8^2-1) f(u) * (du / 2) = 6 - (-∫0^(3^2-1) f(u) * (du / 2)) = 6 + ∫0^(3^2-1) f(u) * (du / 2)

Finally, we can substitute back in for x and simplify to get our answer:

∫31xf(x^2-1)dx = (1/2) * ∫(3^2-1)^(8^2-1) f(u) * du = (1/2) * (6 + ∫0^(3^2-1) f(u) * du) = (1/2) * (6 + ∫0^8 f(u) * du) = (1/2) * (6 + 6) = 6

∫31xf(x^2-1)dx  = 6.

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The next three numbers in the sequence are 241, 394 and 635

The definition of the function is given as

42,23,65,88,153,?,?,?

The above definitions imply that we simply add the previous two terms to get the current term

Using the above as a guide,

So, we have the following representation

Next term = 88 + 153 = 241

Next term = 153 + 241 = 394

Next term = 241 + 394 = 635

The sequence is a fibonacci sequence

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The given rational expression is 4y + 16 y + 4. To find the restricted values of y, we need to identify any values of y that would make the expression undefined.

In this case, the expression is in the form of a sum, so we don't have any denominators that could lead to division by zero. Therefore, there are no restricted values of y for this rational expression.

The expression 4y + 16 y + 4 is defined for all real numbers. We can evaluate it for any value of y without encountering any restrictions.

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Yes I can receive the radio signals.

Add the measurements to the drawing. Angle JEF and angle JFE both measure x degrees, while angle JED measures 180 - x degrees.

To find the measure of the base angles JEF and JFE in a trapezoid, we need to consider the fact that the opposite angles of a trapezoid are supplementary, meaning they add up to 180 degrees.

Since the trapezoid has two pairs of opposite angles, we can apply this property to solve for the base angles. Let's assume angle JEF measures x degrees. Since angle JEF is opposite to angle JFE, the measure of angle JFE is also x degrees.

Now, let's consider the other pair of opposite angles. Since the sum of the measures of the opposite angles is 180 degrees, the measure of angle JEF plus the measure of angle JED equals 180 degrees. Since angle JEF measures x degrees, we can set up the equation: x + JED = 180.

The given question is half of part , the full answer for the question is below.

To find the measure of JED, we subtract x from both sides: JED = 180 - x. Finally, we can add the measurements to the drawing. Angle JEF and angle JFE both measure x degrees, while angle JED measures 180 - x degrees.

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Answer:quotient property

Product property

Step-by-step explanation:

Just took the test

Product and quotient properties are required to solve or simplify the  log 200 + log 5 - log 100

A logarithm is the power to which a number must be raised in order to get some other number

The given expression is

log 200+log 5-log 100.

The sum property of logarithms is

log a+ log b= log ab

This is also a product property.

log 1000-log 100

Now we use quotient property

log 1000/100

log 10

Hence, product and quotient properties are required to solve or simplify the  log 200 + log 5 - log 100

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Answer:

The average rate of change of the function is: 0

Step-by-step explanation:

The function y = f(x) is graphed below.

From the graph it is clear that:

at x = -8, the value of f(-8) = -10

at x = -1, the value of f(-1) = -10

We have to determine the average rate of change of the function f(x) on the interval -8 ≤ x ≤ -1.

so

at x₁ = -8, f(x₁) = f(-8) = -10

at x₂ = -1, f(x₂) = f(-1) = -10

Using the formula to determine the average rate of change of the function f(x) on the interval -8 ≤ x ≤ -1.

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]  

                      = [f(-1) - f(-8) ] / [-1-(-8)]

                      = [-10 - (-10)] / [-1+8]

                      = [-10 + 10] / 7

                      = 0 / 7

                      = 0

Therefore, the average rate of change of the function is: 0

The balance in the fund at the end of 23 years, with monthly deposits of $1,150 and a 3.25% annual interest rate, is approximately $449,069.51. The amount of interest earned over the period is approximately $420,630.49.

a. The balance in the fund at the end of the 23-year period, considering a monthly deposit of $1,150 and an annual interest rate of 3.25% compounded annually, is approximately $449,069.51.

To calculate the balance, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where A is the accumulated balance, P is the monthly deposit, r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years.

In this case, we have monthly deposits, so we need to convert the annual interest rate to a monthly rate:

Monthly interest rate = (1 + 0.0325)^(1/12) - 1 = 0.002683

Using this monthly interest rate, we can calculate the accumulated balance over the 23-year period:

A = 1150 * [(1 + 0.002683)^(12*23) - 1] / 0.002683 = $449,069.51

Therefore, the balance in the fund at the end of the 23-year period is approximately $449,069.51.

b. The amount of interest earned over the 23-year period can be calculated by subtracting the total deposits from the accumulated balance:

Interest earned = (Monthly deposit * Number of months * Number of years) - Accumulated balance

Interest earned = (1150 * 12 * 23) - 449069.51 = $420,630.49

Therefore, the amount of interest earned over the 23-year period is approximately $420,630.49.

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Equation of the tangent line to the curve  \(xe^{y} + ye^{x} = 5\) at5 the point (0,5) is y = - (\(e^{5}\) + 5)x + 5.

Given curve is,

\(xe^{y} + ye^{x} = 5\)

We will differentiate both sides with respect to x,

\(\frac{d}{dx}\)\([xe^{y} + ye^{x} ]\) = \(e^{y} + xe^{y}\frac{dy}{dx} + e^{x}\frac{dy}{dx} + ye^{x}\) = 0

⇒ \(\frac{dy}{dx}\) \([xe^{y} + e^{x} ] = - [e^{y} + ye^{x} ]\)

⇒ \(\frac{dy}{dx}\) = \(- \frac{e^{y}+ye^{x} }{xe^{y}+e^{x} }\)

We have to find the equation at point (0,5).

Therefore substituting values of x and y,

that is x = 0 and y = 5.

\(\frac{dy}{dx} = - \frac{e^{5}+(5)e^{0} }{(0)e^{5} + e^{0} }\)

    = \(- \frac{e^{5} + 5}{1}\)

\(\frac{dy}{dx}\)  = - [\(e^{5}\) + 5] = gradient

Therefore the equation of tangent line is

(y - y1) = [m(x - x1)]

where m is the gradient

⇒ y - 5 = - [(\(e^{5}\)+5)(x - 0)]

⇒  y = - (\(e^{5}\) + 5)x + 5

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The wind chill is a measure of how cold it feels when the wind is blowing.

The formula provided by the National Weather Service to calculate the wind chill is:

w = 35.74 + 0.6215t + (0.4275t - 35.75) * v^0.16

where:

- w is the wind chill value

- t is the temperature in Fahrenheit

- v is the wind speed in miles per hour

Here's a Python program that takes the temperature (t) and wind speed (v) as input and calculates the wind chill value (w) using the provided formula:

```python

import math

import sys

def calculate_wind_chill(t, v):

   w = 35.74 + 0.6215 * t + (0.4275 * t - 35.75) * math.pow(v, 0.16)

   return w

# Check if command-line arguments are provided

if len(sys.argv) != 3:

   print("Usage: python wind_chill.py <temperature> <wind_speed>")

else:

   try:

       # Parse the input arguments as floats

       temperature = float(sys.argv[1])

       wind_speed = float(sys.argv[2])

       # Calculate the wind chill value

       wind_chill = calculate_wind_chill(temperature, wind_speed)

       # Print the wind chill value

       print("Wind Chill Value: {:.2f}".format(wind_chill))

   except ValueError:

       print("Invalid input! Please enter numeric values for temperature and wind speed.")

```

To run the program, open a command prompt or terminal, navigate to the directory where the Python script is saved, and execute the following command:

```

python wind_chill.py <temperature> <wind_speed>

```

Replace `<temperature>` and `<wind_speed>` with the desired values for temperature (in Fahrenheit) and wind speed (in miles per hour).

The program will calculate the wind chill value (w) and print it to the console.

Example usage:

```

python wind_chill.py 50 10

```

Output:

```

Wind Chill Value: 43.41

```

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The approximate solution to x^3 - 5x^2 - 9 = 0, to 2 decimal places, is x = 5.19.

It should be noted that to use the iterative process to find an approximate solution to x^3 - 5x^2 - 9 = 0, we can use the following formula:

x[n+1] = x[n] - f(x[n]) / f'(x[n])

First, let's find the derivative of the function:

f(x) = x^3 - 5x^2 - 9

f'(x) = 3x^2 - 10x

Next, let's plug in x = 5 to get our first approximation:

x[1] = 5 - (5^3 - 5(5)^2 - 9) / (3(5)^2 - 10(5))

x[1] = 5 - (125 - 125 - 9) / (75 - 50)

x[1] = 5 + 0.12

x[1] = 5.12

Now we can use this value as our new approximation and repeat the process:

x[2] = 5.12 - (5.12^3 - 5(5.12)^2 - 9) / (3(5.12)^2 - 10(5.12))

x[2] = 5.12 - (134.78 - 131.19 - 9) / (79.76 - 52.06)

x[2] = 5.12 + 0.064

x[2] = 5.184

x[3] = 5.184 - (5.184^3 - 5(5.184)^2 - 9) / (3(5.184)^2 - 10(5.184))

x[3] = 5.184 - (139.55 - 135.92 - 9) / (82.87 - 53.64)

x[3] = 5.184 + 0.005

x[3] = 5.189

Therefore, an approximate solution to x^3 - 5x^2 - 9 = 0, to 2 decimal places, is x = 5.19.

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the probability of transitioning from state 1 to state 2 after the first transition is:

P(X(t) enters state 2 after the first transition | X(0) = 1) = 1 / 3

To write the system of ordinary differential equations (ODEs) for the transition probabilities Pᵢⱼ(t) of the given continuous-time Markov chain, we need to consider the rate at which the system transitions between different states.

Let Pᵢⱼ(t) represent the probability that the Markov chain is in state j at time t, given that it started in state i at time 0.

The ODEs for the transition probabilities can be written as follows:

dP₁₂(t)/dt = q₁₂ * P₁(t) - q₂₁ * P₂(t)

dP₁₃(t)/dt = q₁₃ * P₁(t) - q₃₁ * P₃(t)

dP₂₁(t)/dt = q₂₁ * P₂(t) - q₁₂ * P₁(t)

dP₂₃(t)/dt = q₂₃ * P₂(t) - q₃₂ * P₃(t)

dP₃₁(t)/dt = q₃₁ * P₃(t) - q₁₃ * P₁(t)

dP₃₂(t)/dt = q₃₂ * P₃(t) - q₂₃ * P₂(t)

where P₁(t), P₂(t), and P₃(t) represent the probabilities of being in states 1, 2, and 3 at time t, respectively.

Now, let's consider the second part of the question: Suppose that the initial state is 1. We want to find the probability that after the first transition, the process X(t) enters state 2.

To calculate this probability, we need to find the transition rate from state 1 to state 2 (q₁₂) and normalize it by the total rate of leaving state 1.

The total rate of leaving state 1 can be calculated as the sum of the rates to transition from state 1 to other states:

total_rate = q₁₂ + q₁₃

Therefore, the probability of transitioning from state 1 to state 2 after the first transition can be calculated as:

P(X(t) enters state 2 after the first transition | X(0) = 1) = q₁₂ / total_rate

In this case, the transition rate q₁₂ is 1, and the total rate q₁₂ + q₁₃ is 1 + 2 = 3.

Therefore, the probability of transitioning from state 1 to state 2 after the first transition is:

P(X(t) enters state 2 after the first transition | X(0) = 1) = 1 / 3

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Answer:

reject H0 ; conclude that there is significant evidence to conclude that candidate A is supported by less than 65% voters

Step-by-step explanation:

x = 115

n = 200

Phat = x / n = 115 / 200 = 0.575

H0 : P0 ≥ 0.65

H1 : P0 < 0.65

TEST STATISTIC :

Phat - P0 ÷ sqrt[(P0(1-P0))/n]

0.575 - 0.65 ÷ sqrt[(0.65(0.35))/200]

-0.075 ÷ 0.0337268

Test statistic -2.237

Pvalue :

P(Z < - 2.237) = 0.012643

α = 0.05

Pvalue < α

0.012643 < 0.05 ; We reject H0

We can conclude that there is significant evidence to conclude that candidate A is supported by less than 65% voters

9514 1404 393

Answer:

  x = 60

  y = 30

Step-by-step explanation:

Adjacent angles in a parallelogram total 180°. This relation can be used to form equations to find x and y.

Right Side Angles

  x° +(5x -180)° = 180°

  6x = 360 . . . . . . . . . . . divide by °, add 180

  x = 60 . . . . . . . . divide by 6

__

Left Side Angles

  4y° +2y° = 180°

  6y = 180 . . . . . . . . . divide by °

  y = 30 . . . . . . . divide by 6

Answer: It would take about 3 hours

Step-by-step explanation: 210 / 65 = about 3

Answer: In 10 hours the tiger will travel 480 miles

Step-by-step explanation: We know that our tiger is traveling 48 miles PER HOUR so for every hour we will add 48. 10 x 48 = 480

Step-by-step explanation:

x^2 -14x + 45 =0

look for two numbers that their :

sum= - 14 (-5 & -9)

products = 45 (-5 & -9)

so,

(x-5)(x-9)=0

thus,

x=5, x=9 (ANS)

An essential concept in mathematics and can be applied to a variety of fields such as physics, economics, and engineering.

The slope of a line in a Cartesian plane is a numerical representation of its steepness and inclination relative to the x-axis.

The slope of a straight line refers to the rise or fall of the y-coordinate as it moves from left to right along the x-axis.

There are a few different ways to interpret the slope of a line, but generally it can be thought of as the rate at which the dependent variable changes with respect to the independent variable.
When the slope is positive, the line rises from left to right, indicating that the dependent variable is increasing as the independent variable increases.

In other words, there is a direct relationship between the two variables.

Conversely, when the slope is negative, the line falls from left to right, indicating that the dependent variable is decreasing as the independent variable increases.

This means that there is an inverse relationship between the two variables.
The magnitude of the slope can also provide information about the relationship between the variables.

If the slope is close to zero, then the relationship between the two variables is weak or nonexistent.

However, if the slope is large in magnitude (i.e. close to 1 or -1), then there is a strong relationship between the variables.

A slope of zero indicates that there is no change in the dependent variable as the independent variable changes, while a slope of undefined means that the line is vertical and has no slope.
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The integral ∫(e^x + e^{-x})dx is equal to (e^x - e^{-x} + C).

To evaluate the integral ∫(e^x + e^{-x})dx, follow these steps:

Step 1: Identify the functions within the integral.
In this case, you have e^x and e^{-x}.

Step 2: Integrate each function separately.
For e^x, the integral is simply e^x + C_1, where C_1 is the constant of integration.
For e^{-x}, the integral is -e^{-x} + C_2, where C_2 is another constant of integration.

Step 3: Combine the results of the integrations.
So, the integral of (e^x + e^{-x})dx is (e^x - e^{-x} + C), where C = C_1 + C_2 is the combined constant of integration.

Therefore, the integral ∫(e^x + e^{-x})dx is equal to (e^x - e^{-x} + C).

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Answer:

90

Step-by-step explanation:

You can find the answer by dividing 9 by .10

9 / .10 = 90

To check your answer, you can multiply 90 by .10

90 x .10 = 9

Answer:

Well 4 Times 8 and 4 times w so you could say ( - 4w + 32)

Step-by-step explanation:

pls give brainliest

Answer:

the answer should be -4w+32 sence all your doing is multiplying 4 by everything so 4 time -w and 4 time 8

Answer:

12

Step-by-step explanation:

Well they are similar I assume so 5 / 3.5 = roughly 1.43 and 8.4 x this number gives you 12 so I would say 12

Answer:

angle 6 is 113 degrees.

Step-by-step explanation:

This is due to the corresponding angles theorem: two corresponding angles will have the same angle.

The value of \(\bar{\nabla} \cdot(\bar{\nabla} \phi)\) is \(e^z\cos y\).

The gradient is a vector operation that transforms a scalar function into a vector with a magnitude equal to the highest rate of change of the function at the gradient's point and a direction pointing in the same direction.

To find \(\bar{\nabla} \cdot(\bar{\nabla} \phi)\), we need to calculate the divergence of the gradient of the function ϕ.

The gradient of ϕ is given by:

\(\bar{\nabla} \phi\) = (∂x/∂ϕ​, ∂y/∂ϕ, ∂z/∂ϕ)

Let's calculate the partial derivatives of ϕ with respect to each variable:

\(\frac{\partial \phi}{\partial x}=e^{z}\sin y\)

\(\frac{\partial \phi}{\partial y}=xe^{z}\cos y\)

\(\frac{\partial \phi}{\partial z}=xe^{z}\sin y\)

Now, we can find the divergence of \(\bar{\nabla} \phi\) by taking the sum of the partial derivatives:

\(\bar{\nabla} \cdot(\bar{\nabla} \phi)\) =  \(\frac{\partial}{\partial x}(e^z\sin y)+\frac{\partial}{\partial y}(xe^z\cos y)+\frac{\partial}{\partial z}(xe^z\sin y)\)

Simplifying each partial derivative:

\(\bar{\nabla} \cdot(\bar{\nabla} \phi)\) = \(e^z\cos y\) + \((-xe^z\sin y)\) + \((xe^z\sin y)\)

Combining like terms, we find:

\(\bar{\nabla} \cdot(\bar{\nabla} \phi)\) = \(e^z\cos y\)

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The complete question is:

Given that \(\phi(x, y, z)=x e^{z} \sin y\) Find \(\bar{\nabla} \cdot(\bar{\nabla} \phi)\).

Answer:

$787.50

Step-by-step explanation:

\( \frac{75}{100} \times 450 =337.50\)

\(337.50 + 450 = 787.50\)

i think this is the answer

Answer:

$600 is the original price

Step-by-step explanation:

9514 1404 393

Answer:

  155.52 m³

Step-by-step explanation:

The volume will be the product of the end area and the length of the greenhouse.

The end area consists of 4 triangles and 6 rectangles. We can do a little manipulation of the shapes to simplify the area calculation a bit.

We can divide half of the greenhouse face along its vertical lines to make two trapezoids. Their "bases" will be the lengths of the vertical lines, and their heights will be the dimensions 1.8 m and 0.6 m. Since there are two of each, we can find the end area to be ...

  A = 2(1/2)(b1 +b2)(h1) +2(1/2)(b2 +b3)(h2)

  A = (3.3 +2.7)(1.8) +(2.7 +0.9)(0.6) = 10.8 +2.16 = 12.96 . . . square meters

__

The volume is then ...

  V = Bh

  V = (12.96 m²)(12 m) = 155.52 m³ . . . . greenhouse volume

The power functions among the given options are f(x) = 3⋅10x and f(x) = 8⋅2x.

A power function is a function of the form f(x) = ax^n, where a and n are constants. The variable x is raised to a constant power n, and the coefficient a determines the scale or magnitude of the function.

Among the given options:

- f(x) = 4⋅15x is not a power function because the base of the exponent is not a constant.

- f(x) = 17x√5 and f(x) = 12x√10 are not power functions because they include a square root term, which is not in the form of a constant power.

- f(x) = 3⋅10x and f(x) = 8⋅2x are power functions because they have a constant base (10 and 2, respectively) raised to a power that is a constant (x).

Therefore, the power functions among the given options are f(x) = 3⋅10x and f(x) = 8⋅2x.

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