Help please I don't understand.

Answer: g(x)=(x-4)^(2)-5

Step-by-step explanation:

Answer:

C. AB = 5.8 cm

Step-by-step explanation:

In trapezoid ABCD, EF is Midsegment.

\( \therefore EF =\frac{1}{2} (AB + CD) \)

\( \therefore 9.2 =\frac{1}{2} (AB + 12.6) \)

\( \therefore 9.2\times 2= AB + 12.6\)

\( \therefore 18.4= AB + 12.6\)

\( \therefore 18.4-12.6= AB \)

\( \therefore AB= 5.8 \: cm \)

Hope this helps!!!

Have a great day!!!

Answer:

No!

Step-by-step explanation:

This question is essentially asking if \(\frac{5}{6}\) = \(\frac{3}{4}\)

Well we can easily tell that it doesn't, but if we want to check, we can do cross multiplication.

So we are trying to find out if 5(4) = 3(6).

5(4) = 20 and 3(6) = 18.

\(20 \neq 18\) so \(5:6 \neq 3:4\)

They are not equal!

Answer:

No, because the numbers in the given ratio must be multiplied by the same number.

Step-by-step explanation:

Right on E 2020

Answer:

Step-by-step explanation:

Part A: Based on the given graph, we can observe that as the temperature of the city increases, the number of people at the swimming pool generally tends to increase as well. This suggests a positive correlation between temperature and the pool's population. In other words, when it gets hotter, more people are likely to visit the swimming pool. The relationship is not strictly linear, but it shows a general trend of increasing pool population with increasing temperature.

Part B: To determine the line of best fit, we can calculate the approximate slope and y-intercept using the given data points. Let's select two points from the data, such as (2.5, 1) and (12, 12):

Slope (m) = (change in y) / (change in x)

= (12 - 1) / (12 - 2.5)

= 11 / 9.5

≈ 1.16

To find the y-intercept (b), we can choose one of the points and substitute the values into the slope-intercept form (y = mx + b). Let's use the point (2.5, 1):

1 = 1.16 * 2.5 + b

1 = 2.9 + b

b ≈ -1.9

Therefore, the approximate slope of the line of best fit is 1.16, and the approximate y-intercept is -1.9.

In order for a function to be continuous at a point, the limit of the function as x approaches that point must exist and be equal to the value of the function at that point.

First, let's find the left-hand limit as x approaches 0 of g(x). Since g(x) = sin(x) for x < 0, we can calculate the left-hand limit as follows:

lim (x → 0-) g(x) = lim (x → 0-) sin(x)

As x approaches 0 from the negative side, sin(x) also approaches 0. Therefore:

lim (x → 0-) g(x) = lim (x → 0-) sin(x) = 0

Next, let's find the right-hand limit as x approaches 0 of g(x). Since g(x) = x² for x ≥ 0, we can calculate the right-hand limit as follows:

lim (x → 0+) g(x) = lim (x → 0+) x²

As x approaches 0 from the positive side, x² also approaches 0. Therefore:

lim (x → 0+) g(x) = lim (x → 0+) x² = 0

Now, let's evaluate g(x) at x = 0:

g(0) = 0² = 0

Finally, we compare the left-hand limit, the right-hand limit, and the value of g(x) at x = 0:

lim (x → 0-) g(x) = lim (x → 0+) g(x) = g(0) = 0

Since the left-hand limit, right-hand limit, and the value of g(x) at x = 0 are all equal to 0, we can conclude that g(x) is continuous at x = 0.

Therefore, the answer is: Yes, g is continuous at x = 0.

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The synthetic division is carried out to give the function;

f(x) = \(x^4 -5x^3- 21x^2 - 109x - 495/ x+5\)

No, it is not a factor because it is not a divisor of all of the terms.

The steps involved in solving synthetic division includes;

From the information given, we have that;

The polynomial is expressed as;

f(x)= \(x^4+x^3 - 4x^2 - 5x - 5;x+5\)

This is then represented in synthetic division format as:

          1       1     -4     -5    -5

-5               -5   25  105    500

         1       -5   -21 -100   -495

Then, we have that the expression is written with the remainder

f(x) = \(x^4 -5x^3- 21x^2 - 109x - 495/ x+5\)

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Answer:

x=3

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

X=3 because you would add 2 to seven Which equals 9. Then you would divide 9 by 3 which equals the answer 3.

The problem you're asking about is to create an algorithm that computes x^n, given a real number x and an integer n, in O(log n) time complexity. The solution to this problem is the "Exponentiation by Squaring" algorithm.

Here's a concise explanation of the algorithm in 150 words:

Exponentiation by Squaring is an efficient algorithm that calculates x^n using a divide and conquer approach, which takes advantage of the fact that x^n = (x^2)^(n/2) if n is even, and x^n = x * x^(n-1) if n is odd. The algorithm computes the result recursively or iteratively, and its time complexity is O(log n), making it efficient for large exponents.

To handle negative exponents, we can use the property x^(-n) = 1 / x^n. So, if the given exponent n is negative, we can calculate the reciprocal of x and use the positive value of n in the algorithm. For the base case, when n = 0, the result is always 1, since any non-zero number raised to the power of 0 equals 1.

By using Exponentiation by Squaring, we can quickly compute x^n for any real number x and any positive or negative integer n, in O(log n) time.

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The steady-state solution of the heat conduction equation refers to the temperature distribution that remains constant over time. This occurs when the heat flow into a system is balanced by the heat flow out of the system.

To find the steady-state solution of the heat conduction equation, follow these steps:

1. Set up the heat conduction equation: The heat conduction equation describes how heat flows through a medium and is typically given by the formula:

  q = -k * A * dT/dx,

  where q represents the heat flow, k is the thermal conductivity of the material, A is the cross-sectional area through which heat flows, and dT/dx is the temperature gradient in the direction of heat flow.

2. Assume steady-state conditions: In the steady-state, the temperature does not change with time, which means dT/dt = 0.

3. Simplify the heat conduction equation: Since dT/dt = 0, the equation becomes:

  q = -k * A * dT/dx = 0.

4. Apply boundary conditions: Boundary conditions specify the temperature at certain points or surfaces. These conditions are essential to solve the equation. For example, you might be given the temperature at two ends of a rod or the temperature at the surface of an object.

5. Solve for the steady-state temperature distribution: Depending on the specific problem, you may need to solve the heat conduction equation analytically or numerically. Analytical solutions involve techniques like separation of variables or Fourier series expansion. Numerical methods, such as finite difference or finite element methods, can be used to approximate the solution.

It's important to note that the exact method for solving the heat conduction equation depends on the specific problem and the boundary conditions given. However, the general approach is to set up the heat conduction equation, assume steady-state conditions, simplify the equation, apply the boundary conditions, and solve for the steady-state temperature distribution.

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Answer:

-6, -2, |-6|, |-7| 10

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

first flip x and y and solve for y

write new equation as x =-3(y+6) distribute

x = -3y -18 add 18 on both sides

x +18 = -3y divide by -3

(-1/3) x -6 or (x +18)/-3 or \(\frac{-x}{3} -6\)

There is no significance difference in the variation in the listening times for men and women.

In this study conducted by Arbitron Media Research Incorporated, the iPod listening habits of men and women were examined. One aspect of the study focused on the mean listening time for both genders. The objective is to determine if there is a significant difference in the variation of listening times between men and women. To do so, statistical analysis will be conducted using the given data.

To determine if there is a significant difference in the variation of listening times between men and women, we can perform a hypothesis test. Let's denote the mean listening time for men as μ₁, the mean listening time for women as μ₂, the standard deviation for men as σ1, and the standard deviation for women as σ₂.

Null Hypothesis (H₀): There is no difference in the variation of listening times between men and women. In mathematical terms, H₀ : σ₁ = σ₂.

Alternative Hypothesis (H₁): There is a difference in the variation of listening times between men and women. In mathematical terms, H₁ : σ₁ ≠ σ₂.

We will use a significance level of 0.10, which indicates that we are willing to accept a 10% chance of rejecting the null hypothesis when it is true.

To test this hypothesis, we can use the F-test for comparing variances. The F-test compares the ratio of the variances between two independent samples. In this case, the samples are the listening times of men and women. The F-test statistic is calculated as follows:

F = (s₁²) / (s₂²)

where s₁ and s₂ are the sample variances. In this case, the sample variances are the square of the standard deviations provided.

Let's calculate the F-test statistic using the given data:

For men:

Sample size (n₁) = 8

Sample standard deviation (s₁) = 12 minutes/day

Sample variance (s₁²) = (12²) = 144 minutes²/day²

For women:

Sample size (n₂) = 10

Sample standard deviation (s₂) = 16 minutes/day

Sample variance (s₂²) = (16²) = 256 minutes²/day²

Calculating the F-test statistic:

F = (s₁²) / (s₂²) = 144 / 256 ≈ 0.5625

Next, we need to determine the critical value for the F-test statistic at a significance level of 0.10. This critical value can be found in the F-distribution table. Since the sample size is small, we will use the F-distribution table.

With a sample size of 8 for men and 10 for women, the degrees of freedom for the numerator (df₁) is 7 (n₁ - 1) and the degrees of freedom for the denominator (df₂) is 9 (n₂ - 1).

Looking up the critical value from the F-distribution table with df₁ = 7 and df₂ = 9, at a significance level of 0.10, we find the critical value to be approximately 2.76.

Now, we compare the calculated F-test statistic with the critical value. If the calculated F-test statistic is greater than the critical value, we reject the null hypothesis; otherwise, we fail to reject the null hypothesis.

In this case, the calculated F-test statistic (0.5625) is less than the critical value (2.76). Therefore, we fail to reject the null hypothesis. This means that there is no enough evidence to conclude that there is a significant difference in the variation of listening times between men and women at the 0.10 significance level.

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Answer:

It's in Spanish I didn't know it and I used the application

Answer:

m =  7cm

Step-by-step explanation:

Perimeter of a triangle is all the sides added up, so a+ b + c.

Given that a= 6 and b= 6, that's 12cm together. So just subtract the perimeter 19cm by 12cm to get your answer of 7cm.

On solving the provided question, we can say that the slope's the intersection points are: (20.698, 42.197) and (43.998,16.527), the transmitter is within range between those to points along the line.

A line's slope determines how steep it is. A mathematical equation for the gradient is called "gradient overflow" (the change in y divided by the change in x). The slope is the ratio of the vertical change (rise) between two points to the horizontal change (run) between those same two spots. When a straight line's equation is written as y = mx + b, the slope-intercept form of an equation is employed to express it. The y-intercept is located at a location where the line's slope is m, b is b, and (0, b). For instance, the slope of the equation y = 3x - 7 and the y-intercept (0, 7).The line's slope is m. b is b at the point where the y-intercept is, and (0, b). As an illustration, the equation y = 3x - 7 has a slope of 3, and its y-intercept is (0, 7).

city - north at (0,65)

city-east at (59,0)

Slope is m=(-65/59)

\(B= y - mx = 65 - (-65/59)(0) = 65\)

The equation of the line between the cities is y = (-65/59)x + 65

\(x^2 + ( (-65/50)x + 65) )^2 = 47^2\)

the intersection points are:

(20.698, 42.197) and (43.998,16.527)

The transmitter is within range between those to points along the line.

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Longwei should first recognize that implementing goals, policies, and structure is only one aspect of effective leadership. A leader's ability to motivate and inspire their employees is just as important. Therefore, Longwei should use the principles of organizational behavior (OB) to better understand his employees and their motivations.

Additionally, Longwei should take a personality assessment to become more self-aware of his own leadership style and how it may be impacting the employees. He should examine his perceptions and biases to ensure that he is making fair and objective judgments and decisions. This may involve seeking feedback from other leaders or mentors, participating in leadership development programs, or engaging in self-reflection and mindfulness practices.

By taking these steps, Longwei can better understand and address the unmotivated employees in his company. He can then develop strategies to engage and inspire them, such as offering incentives, providing opportunities for professional development, or creating a more positive and inclusive work environment. Ultimately, Longwei's success as a leader will depend not only on his ability to set and implement goals but also on his ability to motivate and engage his employees.

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The equation of the circle that passes through the point (-4,-3) and has a center at (-8, -6) is \((x + 8)^2 + (y + 6)^2 = 25\). The equation is in standard form, where the center and radius of the circle is (-8, -6), 5 units.

The equation of a circle with center (a, b) and radius r is given by:

\((x - a)^2 + (y - b)^2 = r^2\)

In this problem, we are given that the center of the circle is (-8, -6), so we can substitute these values for a and b in the equation:

\((x - (-8))^2 + (y - (-6))^2 = r^2\)

\((x + 8)^2 + (y + 6)^2 = r^2\)

The distance between two points (x1, y1) and (x2, y2) is given by the distance formula:

\(d = sqrt((x2 - x1)^2 + (y2 - y1)^2)\)

\(d = sqrt((x2 - x1)^2 + (y2 - y1)^2)\)

\(d = sqrt((4)^2 + (3)^2)\)

d = 5

Therefore, the radius of the circle is 5.

\((x + 8)^2 + (y + 6)^2 = 5^2\)

\((x + 8)^2 + (y + 6)^2 = 25\)

So the equation of the circle that passes through the point (-4, -3) and has a center at (-8, -6) is: \((x + 8)^2 + (y + 6)^2 = 25\)

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Since a rectangle is rolled along length then circumference of circle is equal to length of rectangle and breadth equals to height.

=) 2*pi*r = 42cm

=) 2*22/7 * r = 42cm

=) r = 42*7 / 2*22

=) r = 147/22 cm

Since Volume of cylinder = pi* r^2*h

= 22/7 * 147/22 * 147/22 * 16 cm^3

= 2245.09 cm^3.

Answer:

17.2 x 17.2 =area of base. ( B x H) = 295.84

295.84 x 24.4 (perpendicular height) = 7218.496

7281.496 x 1/3 ( or divide by three) = 2406.1653

Not sure how many dp you need.

Answer:

x=7

Step-by-step explanation:

2x-4+2x-7=17

4x-11=17

4x=28

x=7

Answer:

X Y

-1 8

0 3

1 -2

2 -7

Step-by-step explanation:

Using the x values of the table, simply plug in those x values, replacing the x in the equation. For example:

y = -5x + 3

y = -5 * 2 + 3

y = -10 + 3

y = -7

Answer:

y=2x-1

Step-by-step explanation:

y-9=2x-10

y=2x -10+9

y=2x-1

Answer:

4

Step-by-step explanation:

Answer:

-10 + 18x

Step-by-step explanation:

8-3 (6-6x)

distribute -3 with the numbers inside the parenthesis and you end up with

8 -18 + 18x

and you simplify by subtracting 18 from 8 so you get

-10 + 18x

The simplified form of the expression  8 - 3(6 - 6x) is -10+18x.

To simplify the expression 8 - 3(6 - 6x), we can apply the distributive property to remove the parentheses.

Distribute the -3 to both terms inside the parentheses:

8 - 3 × 6 + 3 × 6x

Simplify the multiplication:

8 - 18 + 18x

Combine like terms:

-10 + 18x

Therefore, the simplified expression is -10 + 18x.

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Answer:

33.33%

Step-by-step explanation:

600/3 is 200 which means 1/3 of it is rebated