Draw all the lines of symmetry for this shape.
Line 1

Answer:

The question is Given that we should range the graph below: 12,10,9,8,6,5,4,3,2

-12-11-10-9-8-7-6

1 2 3 4 5 6 7 8 9 10 11 12

8

-9

-10

56

-12

and the ranging of my answer is that

-12

-10

-9

-8

-6

-5

-4

-3

-2

-1.

1 2 3 4 5 6 8 8 10 12

12

10

9

8

6

5

4

The range of the given function \(y = -e^x\) can be represented in set notation as follows:

Range: {y | y ≤ 0}

As per the shown graph, the given function is  \(y = -e^x\) , which represents an exponential decay.

As x increases, the value of  \(-e^x\) decreases rapidly.

Consequently, the range of the function is all real numbers less than or equal to zero.

Here, the graph of this function forms a curve that approaches the x-axis but never intersects or goes above it.

The function has no upper bound but approaches zero as x approaches negative infinity.

However, it never reaches zero or any positive value, resulting in a range that consists of all real numbers less than or equal to zero.

The range of the given function \(y = -e^x\) can be represented in set notation as follows:

Range: {y | y ≤ 0}

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Answer:

$13.90

Step-by-step explanation:

1. Get rid of the tax by subtracting 2.70 from the total.  

2. Next, divide the total by 3 to find the price of each CD.

we can see that the triangle is isosceles since it has 2 equal sides

so that means 2 equal angles then :

x + 17 = 4x - 34

3x = 51

x = 17

or

the sum of 3 triangles angles = 180

6x + 10 + x + 17 + 4x - 34 = 180

11x = 187

x = 17

Answer:

Step-by-step explanation:

(6x+10)+(x+17)+(4x+34)=180

11x+61=180

11x+61-161=180-61

11x=119

11x/11=119/11

x=10 9/119

A linear regression function, f(t), that estimates the day's coffee sales with a high temperature is f(t) = -58t + 6,182.

The correlation coefficient (r) is -0.94.

Yes, r indicates a strong linear relationship between the variables because r is close to -1.

In order to determine a linear regression function and correlation coefficient for the line of best fit that models the data points contained in the table, we would have to use an online graphing tool (scatter plot).

In this scenario, the high temperature would be plotted on the x-axis of the scatter plot while the y-values would be plotted on the y-axis of the scatter plot.

From the scatter plot (see attachment) which models the relationship between the x-values and y-values, the linear regression function and correlation coefficient are as follows:

f(t) = -58t + 6,182

Correlation coefficient, r = -0.944130422 ≈ -0.94.

In this context, we can logically deduce that there is a strong linear relationship between the data because the correlation coefficient (r) is closer to -1;

-0.7＜|r| ≤ -1.0   (strong correlation)

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Missing information:

State the linear regression function, f(t), that estimates the day's coffee sales with a high temperature of t.  Round all values to the nearest integer. State the correlation coefficient, r, of the data to the nearest hundredth.  Does r indicate a strong linear relationship between the variables?  Explain your reasoning.

If a categorical variable that can take the values from the set {Red, Blue, Green, Yellow} is included as an independent variable in a linear regression, the number of dummy variables that are created is two

When a categorical variable that has n categories is to be included as an independent variable in a linear regression analysis, it must be converted to n - 1 dummy variables. The reason for this is that including all n categories as dummy variables would cause perfect multicollinearity in the regression analysis, making it impossible to estimate the effect of each variable.In this case, the set of categories {Red, Blue, Green, Yellow} has four categories. As a result, n - 1 = 3 dummy variables are required to represent this variable in a linear regression. This is true since each category is exclusive of the others, and we cannot assume that there is an inherent order to the categories.The dummy variable for the first category is included in the regression model by default, and the remaining n - 1 categories are represented by n - 1 dummy variables. As a result, the number of dummy variables that are required to represent the categorical variable in the regression model is n - 1.

Thus, if a categorical variable that can take the values from the set {Red, Blue, Green, Yellow} is included as an independent variable in a linear regression, the number of dummy variables that are created is two .

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Answer:

Step-by-step explanation:

x=53 degree(the relation between x and 53 degree is that they are alternate exterior angles)

Volume of given Rectangular Prism is 6\(in^3\), So option A is correct.

Having six faces, a rectangular prism is a three-dimensional shape (two at the top and bottom and four are lateral faces). The prism's faces are all rectangular in shape. There are three sets of identical faces as a result. A rectangular prism is often referred to as a cuboid because of its shape. A rectangular prism can be found in everyday objects like a geometry box, notebooks, diaries, and rooms.

A rectangular prism's volume is a measurement of how many of its units are occupied. A rectangular prism's volume is expressed in cubic units. It can also be described as how many units are required to fill a rectangular prism.

The area of the base times the height of the rectangular prism equals the volume of the object.

The volume of a rectangular prism = Length × Width ×Height cubic units.

In the given question:

Lengths of edges are \(\frac{2}{2}\)in, \(\frac{3}{2}\)in, \(\frac{8}{2}\)in.

Volume= \(\frac{2}{2}\)×\(\frac{3}{2}\)×\(\frac{8}{2}\) \(in^3\)=\(6\)\(in^3\)

Volume of given Rectangular Prism is 6\(in^3\), So option A is correct.

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Answer:

x = 7

Step-by-step explanation:

m<DEF is the sum of m<DEG and m<GEF

12x + 1 + 5x - 3 = 117 add like terms

17x - 2 = 117 add 2 to bot sides

17x = 119 divide both sides by 17

x = 7

Answer:

B because of her size

I hope

The coordinates of the point of Q is (14, 7 ).

The coordinates of the point of Q can be determined using the formula for a line segment divided by a certain ratio.

Let the ratio = a:b

Let the coordinates of Q = ( Xq, Yq)

Xq = x₁ + (a)/ (a + b) [x₂ - x₁]

Yq = y₁ + (a)/(a + b ) [y₂ - y₁]

Using the points given in the question, the value of the coordinates is calculated as;

Xq = -6 + (5)/(5 + 3 ) (26 - -6)

Xq = -6 + 20 = 14

Yq = -3 + (5)/(5 + 3) (13 - - 3)

Yq = -3 + 10 = 7

Q = (14, 7 )

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Based on the given information in Exhibit Cape May Realty, the question is asking to test the significance of the slope coefficient at a significance level of a = 0.10. The p-value is less than 0.10, which means that the null hypothesis can be rejected. This leads to the conclusion that the population slope coefficient is different from zero. Therefore, option C is the correct answer.

This means that there is a statistically significant relationship between square footage and property rental rate. As the slope coefficient is different from zero, it indicates that there is a positive or negative relationship between the two variables. However, it does not necessarily mean that there is a causal relationship. There could be other factors that influence the rental rate besides square footage.

In summary, the statistical analysis conducted on Exhibit Cape May Realty indicates that there is a significant relationship between square footage and property rental rate. Therefore, the population slope coefficient is different from zero. It is important to note that this only implies a correlation, not necessarily a causal relationship.

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Answer:

3

Step-by-step explanation:

Answer:

-1 4/5

Step-by-step explanation:

In mathematics, a fraction is a number that represents a part of a whole. It consists of a numerator and a denominator. The numerator represents the number of equal parts of a whole, while the denominator is the total number of parts that make up said whole. For example, in the fraction 3  5, the numerator is 3, and the denominator is 5. A more illustrative example could involve a pie with 8 slices. 1 of those 8 slices would constitute the numerator of a fraction, while the total of 8 slices that comprises the whole pie would be the denominator. If a person were to eat 3 slices, the remaining fraction of the pie would therefore be 5  8 as shown in the image to the right. Note that the denominator of a fraction cannot be 0, as it would make the fraction undefined. Fractions can undergo many different operations, some of which are mentioned below.

Question:

Use your understanding of rational functions to answer the following question about the relationship of concert profit P(x)=-25x^2+875x-4750 to concert operating expenses c(x)=4750-125x.

Write an algebraic rule for the function T(x), which gives the ratio of profit to operating expenses, that is, the number of dollars earned for every dollar spent by the concert promoters.

Answer:

\(T(x) = \frac{x^2-35x+190}{5x-190}\)

Step-by-step explanation:

Given

\(P(x)=-25x^2+875x-4750\) --- concert profit

\(c(x)=4750-125x.\) --- concert operating exercise

Solving (a): An expression for T(x)

T(x) is the ratio of P(x) to c(x)

So:

\(T(x) = \frac{P(x)}{c(x)}\)

\(T(x) = \frac{-25x^2+875x-4750}{4750-125x}\)

Factorize

\(T(x) = \frac{-25(x^2-35x+190)}{-25(-190+5x)}\)

\(T(x) = \frac{x^2-35x+190}{-190+5x}\)

Rewrite as:

\(T(x) = \frac{x^2-35x+190}{5x-190}\)

The required value of t from the given expression is 496.86.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression
\(20=100(1/2)^{t/214}\\1/5 = [1/2]^{t /214}\\\)

taking log,
ln 1/5 = t /214 ln [1/2]
t = 214 ln 5 / ln [1/2]
t =  496.86

Thus, the required value of t from the given expression is 496.86.

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Answer:

Step-by-step explanation:

-8x + 14 = -2(4x - 7)

use the distributive property to get rid of the parentheses (-2 x 4x and -2 x -7) (negative times negative equals positive)

-8x + 14 = -4x + 14

subtract 14 on both sides to cancel out 14

-8x is not equal to -4x

although this may seem like a weird answer, if x is the same variable (pretend it's one) 1 multiplied with -8 will not equal 1 multiplied with -4

Answer:

all real numbers

Step-by-step explanation:

Given

- 8x + 14 = - 2(4x - 7) ← distribute parenthesis

- 8x + 14 = - 8x + 14

Since both sides are equal, then any real value of x is a solution of the equation.

Answer:

Add  −4 and 5.

1=1

Step-by-step explanation: like hopefuly this can helpp

\(x = 2 \frac{4}{5} x =2.8\)

Have a good day

The polar coordinates for the rectangular coordinates (0, 5) are (r, θ) = (5, π/2).

To convert rectangular coordinates (x, y) to polar coordinates (r, θ), we use the formulas r = √(x² + y²) and θ = arctan(y/x). In this case, x = 0 and y = 5. We can apply the formulas as follows:

STEP 1. Calculate r: r = √(0² + 5²) = √(25) = 5
STEP 2. Calculate θ: Since x = 0, we cannot use the arctan(y/x) formula directly. Instead, we determine the angle based on the quadrant in which the point lies. The point (0, 5) lies on the positive y-axis, which corresponds to an angle of π/2 radians.

So, the polar coordinates for the rectangular coordinates (0, 5) are (r, θ) = (5, π/2).

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Answer:

EF is 26 did you go to school at all god

Answer:

26

Step-by-step explanation:

The linear equation that models how much Carolina earns depending on the number of hours that she works is:

y = 6*x + 8

Here we know that for every mowing job, Carolina charges $6, plus an initial fee. So if that initial fee is b, we can write the equation as:

y = 6*x + b

We also know that for a 4 hours job she charges $32, then we can replace x by 4 and y by 32 in the equation above.

32 = 6*4 + b

32 = 24 + b

32 - 24 = b

8 = b

Then the linear equation we wanted to find is:

y = 6*x + 8

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The value of u is not provided, we cannot determine the exact value of y. None of the given options (a, b, c, d) can be chosen as the approximate value of y.

For the first question, you are given the model yhat = 2.1 + 1.0x^2 and you want to find the estimated marginal effect of x on y when x = 1.3. To find the estimated marginal effect, you need to take the derivative of yhat with respect to x. In this case, the derivative would be 2.0x.

Now, substitute x = 1.3 into the derivative:

2.0(1.3) = 2.6.

Therefore, the estimated marginal effect of x on y when x = 1.3 is 2.6.

For the second question, you are given the model \(lny = β₁ + β₂x^2 + u\), with parameter estimates

β₁ = 2 and

β₂ = 1.

To predict the value of y when x = 2, substitute the given values into the model:
\(lny = 2 + 1(2^2) + u\)
lny = 2 + 1(4) + u
lny = 2 + 4 + u
lny = 6 + u

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important to know the size of the freshman classes in relation to the population size before using z-procedures in this situation, so the answer will be option C

In statistical inference, when using z-procedures such as hypothesis testing or constructing confidence intervals, one of the assumptions is that the samples are independent. In this scenario, knowing that the university had 6000 or more entering freshmen is important to ensure that the sample size is less than 10% of the population size.

The 10% condition is necessary to maintain the independence of samples. When the sample size is small relative to the population size, each sample observation has a greater impact on the population proportion, potentially violating the assumption of independence.

By ensuring that the sample size is less than 10% of the population size, we can reasonably assume that each sample observation is independent of each other. This allows us to use z-procedures and rely on the properties of the normal distribution for inference.

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The square of a number is increased by 5 times the number \(6x^{2} +5x-4=0\)

What is quadratic equation?
A quadratic equation is a second order equation written as a\(x^{2}\) + bx + c = 0 where a, b, and c are coefficients of real numbers and a ≠ 0.

Product of 6 and the square of a number is increased by 5 times the number, he result is 4.

Consider x as the number,

The question can be written as:

\(6(x^{2} )+5(x)=4\)

\(6(x^{2} )+5(x)-4=0\)

Hence, the answer for the given question is \(6x^{2} +5x-4=0\).

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A 20 year old has height below 3.7 feet and above 7.9 feet then 20 year old be considered abnormal.

The average height means that the given population determined by the interaction between the environment in which it lives and the resources it commands.

Abnormal means diffrent from what is normal or usual, in a way that worries you or that is unplesant.

We have given that average height is 5.8 feet.

And abnormal height a 20 year old must be 2.1 feet below average height or 2.1 feet above average height.

Therefore 5.8 - 2.1 = 3.7 feet

                 5.8 + 2.1 = 7.9 feet

Hence height below 3.7 feet abd above 7.9 feet is considered to be abnormal.

That means [-∞ , 3.7] and [7.9,∞] is considered to be abnormal height for 20 year old man.

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After rotation the shape 180 degree new coordinates are, (- 1, - 2) , (- 4, - 2) and (- 4, - 4) and the figure is shown in graph.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

The shape is shown in figure.

Here, The coordinates of triangles are,

⇒  1, 2) , ( 4,  2) and ( 4,  4).

We know that;

The rule of rotation about 180 degree is,

⇒ (x, y) → (- x, - y)

Thus, The new coordinates are,

⇒ (- 1, - 2) , (- 4, - 2) and (- 4, - 4)

So, The figure after rotate about 180 degree is shown in figure.

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Answer:

6.71

Step-by-step explanation:

Use the Pythagorean Theorem with the triangle:

6^2 + 3^2 = x^2

x = 6.71

 The length of BD is 3.71

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a²+ b² = c².

Given here, ΔABC where CA=3 , CB=6 &  BA=BD+AD

Now we know AD is the radius of the circle hence

Using Pythagorean theorem we get (x+3)² = 3²+6²

                                                             x+3    = √45

                                                               x     = 6.71-3

                                                                x    = 3.71 units

Hence, the length of BD is 3.71 units

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if you add 55% and 45% the total is 100% so 45/100 are girls.  35% of the girls scored and A  so 35/45  is the probability that it is a girl chosen or 7/9. the probability is 7 out of 9.