Please help me with this homework

Answer:

d and e

Step-by-step explanation:

x = 245/5 x = 49, the length of the side LN is 49 cm.

The sides of the triangles ABC and LMN are proportional due to their similarity. Let's call the length of the LN side x cm.

We are able to establish the proportion based on the similarity as follows:

When we plug in the given values, we get AB/LM = AC/LN:

5/35 = 7/x We can cross-multiply and solve for x to get x:

When we divide both sides by 5, we get: 5x = 7 * 35 5x = 245

Since x = 245/5 x = 49, the length of the side LN is 49 cm.

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Step-by-step explanation:

here you go hope it helps

the independent variable and dependent variable from each drop down.: Number of toppings and Total cost of the pizza

In the given scenario, the independent variable is the number of toppings on the pizza, and the dependent variable is the total cost of the pizza.

The independent variable is the factor that is controlled or manipulated by the experimenter. In this case, the number of toppings can be varied to see how it affects the total cost of the pizza.

The dependent variable is the outcome or result that is being measured or observed. It depends on the changes in the independent variable. In this case, the total cost of the pizza depends on the number of toppings added.

So, to summarize:

Independent variable: Number of toppings

Dependent variable: Total cost of the pizza

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Based on a survey of 400 non-fatal accidents, where 173 involved faulty equipment, the point estimate for the population proportion (p) of accidents that involved faulty equipment is 173/400 = 0.4325.

To calculate the point estimate for the population proportion, we divide the number of accidents involving faulty equipment (173) by the total number of accidents surveyed (400).

This gives us a ratio of 0.4325, which represents the estimated proportion of accidents involving faulty equipment in the population.

A point estimate is a single value that serves as an approximation or best guess for an unknown population parameter.

In this case, the population proportion (p) represents the proportion of all accidents that involved faulty equipment. The point estimate of 0.4325 suggests that approximately 43.25% of non-fatal accidents may involve faulty equipment based on the sample data.

It's important to note that this point estimate is subject to sampling variability and may not perfectly reflect the true population proportion. To obtain a more precise estimate with a measure of uncertainty, one would need to consider confidence intervals or conduct hypothesis testing using statistical methods.

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Answer:

Step-by-step explanation:

You are given the equation 8x -3 +4x +3 = 180 and asked to simplify it and solve for x.

Collecting terms, we have ...

  (8 +4)x +(-3 +3) = 180

  12x + 0 = 180

Dividing by the coefficient of x gives ...

  x = 180/12 = 15

The value of x is 15.

The monthly cost and price-demand equations are given as C(x) = 72,000 + 80x and p(x) = 210 - x/30. Here's a step-by-step explanation using these terms.

Step 1: Determine the revenue equation.
Revenue, R(x), is calculated by multiplying the price per unit (p(x)) and the number of units sold (x). So, R(x) = x * p(x).

Step 2: Substitute the price-demand equation.
R(x) = x * (210 - x/30)

Step 3: Expand the equation.
R(x) = 210x - (x²)/30

Step 4: Find the profit equation.
Profit, P(x), is calculated by subtracting the total cost (C(x)) from the total revenue (R(x)). So, P(x) = R(x) - C(x).

Step 5: Substitute the cost and revenue equations.
P(x) = (210x - (x²)/30) - (72,000 + 80x)

Step 6: Simplify the equation.
P(x) = 210x - (x²)/30 - 72,000 - 80x

Now, you have the profit equation for the company based on the given cost and price-demand equations.

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Answer:

\(3 \times \frac{1}{3 } + \frac{1}{2} \times - 12( \frac{1}{3} ) = \frac{1}{3} \)

The correct interpretation of each slope in multiple regression is option b: "The predicted change in the response variable for a one unit increase in that predictor variable, while holding all other predictor variables constant."

This means that for each predictor variable, we are estimating how much the response variable will change when that predictor variable increases by one unit, assuming all other predictor variables remain constant. This allows us to isolate the effect of each predictor variable on the response variable and determine which variables are most important in predicting the response variable.

Option a is incorrect because it assumes that the predictor variable can be equal to 0, which may not be possible or meaningful for all predictor variables. Option c is incorrect because it does not account for the effects of other predictor variables. Option d is incorrect because it refers to the proportion of variability explained by a predictor variable, which is captured by the R-squared statistic, but not by the slope. Option e is partially correct, but the holding of all other predictor variables constant is the key aspect of the interpretation.

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The right triangle is rotated one time to the right with respect to the left triangle. Then the pairs are:

e and g, f and h.

Here we have two similar triangles, this means that one of the triangles can be a rotation + dilation of the other.

If you look at the dimensions of the second triangle and multiply these by 2, you see that the dimensions become:

2*2 = 4

2*3 = 6

2*4 = 8

Which are the same dimensions of the left triangle, but rotated one time to the right.

Now, knowing that, we caonclude that the corresponding angles are:

Then the correct option is the third one.

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The maximum value of the function is approximately 1.724 and the minimum value is approximately -1.724.

To find the maximum and minimum values of the function y = sin x + sin 2x, we can first take its derivative with respect to x:

y' = cos x + 2 cos 2x

Then, we can set y' equal to zero and solve for x:

cos x + 2 cos 2x = 0

We can use a graphing calculator to find the solutions to this equation, which are approximately x = 0.285 and x = 2.857. We can then evaluate the original function at these values to find the maximum and minimum values:

y(0.285) ≈ 1.724

y(2.857) ≈ -1.724

Therefore, the maximum value of the function is approximately 1.724 and the minimum value is approximately -1.724.

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Answer:

6      :  15       : 11

Step-by-step explanation:

men:women:children

24  :  60        : 44

Divide each part by 4

24/4  :  60/4     : 44/4

6      :  15       : 11

Answer 34 square inches

Step-by-step explanation 2+2+2+4+4+9+9

The rotation rule used in this problem is given as follows:

90º counterclockwise rotation.

The five more known rotation rules are given as follows:

The equivalent vertices for this problem are given as follows:

Hence the rule is given as follows:

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

Which is a 90º counterclockwise rotation.

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We can not solve the system of equation because the equations represent two parallel lines (they have no points in common).

Given that,

The system of equations are -3x+y=6 and 6x-2y=25

We must resolve the equation system.

We know that,

Take the system of equation

-3x+y=6 ------->equation(1)

6x-2y=25 ------>equation(2)

We multiply equation(1) by -2 and subtracting them

-2(-3x+y=6)

6x-2y=-12

6x-2y=25

---------------           (subtract)

-12=-25

So, we can not solve the system of equation.

Therefore, We can not solve the system of equation because the equations represent two parallel lines (they have no points in common).

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Answer:

6,16,25,27,33,39,45 are the composite numbers.

Answer:

36 pi

Step-by-step explanation:

The radius is 6

A = pi r^2

A = pi 36

Answer:

Area of circle = 36 π square unit

Step-by-step explanation:

To calculate area of circle simplify formula area of circle . we have given radius of circle which is 6.

Area of circle = π × r²

where,

substitute the value

Area of circle = π × ( 6 ) ²

expand the exponent

Area of circle = π × 36

multiply

Area of circle = 36 π square unit

In this scenario, the mean wage of $6.95 is considered a statistic. It represents a numerical measure calculated from a sample of teenagers in a certain town who worked jobs last summer.

In statistics, a parameter is a numerical measure that describes a characteristic of a population. It represents the true value of the population characteristic, but it is usually unknown and needs to be estimated. Parameters are typically denoted by Greek letters.

On the other hand, a statistic is a numerical measure that is calculated from a sample of data, which represents a subset of the population. Statistics are used to estimate the corresponding population parameters. Statistics are denoted by symbols derived from English letters.

In the given scenario, the mean hourly wage of $6.95 represents a numerical measure of the average wage for teenagers working jobs in a certain town during the summer. This value was obtained by calculating the average wage from a sample of teenagers in the town.

If the $6.95 mean hourly wage was calculated based on data from the entire population of teenagers in the town, it would be a parameter. However, in the absence of information explicitly stating that the calculation was done for the entire population, we assume that it is a statistic.

Since the mean wage is calculated from a sample, it represents a characteristic of the sample rather than the entire population. It is used as an estimate or approximation of the true population mean wage. Thus, in this scenario, the mean wage of $6.95 is considered a statistic.

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Answer:

C

Step-by-step explanation:

The function is nonlinear because the slope is not constant.

The mean is 18.6.

Given the following information; z = 2.25, x = 22.2, and σ = 1.6, to find the mean, we have to apply the formula for z-score. z = (x - μ)/σWhere; z-score is represented by z, the value of X is represented by x, the mean is represented by μ and the standard deviation is represented by σSubstituting the values into the equation above;2.25 = (22.2 - μ)/1.6Multiplying both sides of the equation by 1.6, we have;1.6(2.25) = (22.2 - μ)3.6 = 22.2 - μ Subtracting 22.2 from both sides of the equation;3.6 - 22.2 = - μ-18.6 = - μ Multiplying both sides of the equation by -1, we have;μ = 18.6

Simply said, a z-score, also known as a standard score, informs you of how far a data point is from the mean. Technically speaking, however, it's a measurement of how many standard deviations a raw score is from or above the population mean.

You can plot a z-score on a normal distribution curve. Z-scores range from -3 standard deviations, which would fall to the extreme left of the normal distribution curve, to +3 standard deviations, which would fall to the far right. You must be aware of the mean and population standard deviation in order to use a z-score.

The z-score can show you how that person's weight compares to the mean weight of the general population.

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Answer:

Final cost is 817.76

Step-by-step explanation:

First find the amount of the tax

760 * 7.6%

760 * .076

75.76

Add this to the cost of the bike

760+57.76

817.76

Step-by-step explanation:

it doesn't matter when he comes to "0" this is because "0" don't have sign

-0+0=0

0+0=0

-0-0=0

Step-by-step explanation:

1. x+6=93

x=93-6

x=87

2. 4x +15 =29

4x =29-15

4x=14

x=14/4

x=3.5

3. x+9 =53

x=53-9

x=44

4. 2(x+5)=18

2x+10 =18

2x=18-10

2x=8

x=8/2

x=4

Answer:

-1

Step-by-step explanation:

\( \rm Simplify \: the \: following: \\ \rm \longrightarrow - \dfrac{3}{4} - \dfrac{1}{4} \\ \\ \rm - \dfrac{3}{4} - \dfrac{1}{4} = \dfrac{ - 3 - 1}{4} : \\ \rm \longrightarrow \dfrac{ - 3 - 1}{4} \\ \\ \rm - 3 - 1 = - (3 + 1) : \\ \rm \longrightarrow \dfrac{ - (3 + 1)}{4} \\ \\ \rm 3 + 1 = 4 : \\ \rm \longrightarrow \dfrac{ - 4}{4} \\ \\ \rm \dfrac{ - 4}{4} = \dfrac{4}{4} \times ( - 1) = - 1 : \\ \rm \longrightarrow - 1\)

Answer:

$6.80

Step-by-step explanation:

1.79 x 3.8 = 6.802

So $6.80

Answer: 60rupees*1.15=69 rupees

Step-by-step explanation: 15% more is 15% + 100% so 15% more of 60 rupees is 60*1.15

An upper bound on the error that can result from approximating cos(x) by 1−(x^2/2!) + (x^4/4!) over the interval [-0.7, 0.7] is 0.00567.

The Taylor series expansion for cos(x) is given by cos(x) = 1 - (x^2/2!) + (x^4/4!) - (x^6/6!) + ... . The approximation 1−(x^2/2!) + (x^4/4!) is a truncated version of this series. The error between the actual value of cos(x) and the approximation can be estimated using the Lagrange form of the remainder term, which gives an upper bound on the error.

In this case, the Lagrange remainder term is given by Rn(x) = (f^(n+1)(c)/n+1!) * (x-x0)^(n+1), where f^(n+1)(c) is the (n+1)th derivative of cos(x) evaluated at some point c in the interval [-0.7, 0.7].

The maximum value of Rn(x) over the interval [-0.7, 0.7] occurs when x = ±0.7, and the upper bound on the error is found by evaluating Rn(±0.7).

The resulting upper bound is approximately 0.00567.

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The area of the region by the equation  x^2 + y^2 = 4x + 6y+13 is ≈  81.68 units^2.

The vertex  will be found at (4,2)   and we can write that :

(y - 2) = (a)(x - 4)^2     and since (8,6)   is on the curve,

(6 -2)  = (a) (8 - 4)^2    

simplify,

4 = (a)(4)^2

4 = (a)16   →    a = 4/16  = 1/4

Since the x coordinate of the vertex is given by, -b/ (2a)

 we have that,  

-b/[2 (1/4)]  = 4   → -b / (1/2) = 4 → -b = 2 → b = -2

And using the fact that  (4,2)  is on the graph, we can find c, thusly :

y = ax^2 + bx + c

2 = (1/4)(4)^2 -2(4) + c

2 = 4 - 8 + c

2 = -4 + c

c = 6

Then a*b*c = (1/4) (-2) (6) = (1/4)(-12) = -3

Here, the graph of the function,

The area of the region enclosed by the graph of the equation x^2 + y^2 = 4x + 6y+13.

This will be a circle....we need to find the radius to find the area enclosed by the circle

Let's write as,

x^2 -4x + y^2 -6y - 13  = 0      

complete the square on x and y ,

x^2 - 4x + 4  + y^2 - 6y + 9  - 13  =  4 + 9

(x -2)^2 + (y -3)^2  - 13  = 13     add 13 to both sides

(x -2) ^2  + (y - 3)^2   = 26      26 = (radius)^2   so

The area of a circle =  pi * (radius) ^2

So....the area =  pi * 26 =   26* pi  ≈  81.68 units^2

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