I wanna know why Charli D’amilo is famous. Someone tell me please it’s on a test.

An interior angle of a polygon is an angle formed inside the two adjacent sides. In our case, an interior angle is the angle in red color:

In our case, there are 8 sides so our polygon is an octagon. So, the size of each interio angle is given by

Therefore, the answer is 135 degrees:

Answer:

1. 2

2. 17

3. 6

4. 36

5. 37

6. 12

Step-by-step explanation:

1. 7-5=2

2. 30x17=510

3. 12x6=72

4. 4x9=36

5. 49-12=37

6. 9 plus 3=12

Answer: A

Step-by-step explanation:

between A and C, Z and X
AC and XZ lies. so they must be equal to be congruent of the triangles

The equilibrium interest rate is 10%, and the money supply should be set at $25 to increase the interest rate by 10 percentage points

The equilibrium interest rate and the corresponding money supply can be calculated based on the given money demand and money supply functions.

1. Equilibrium Interest Rate:

To find the equilibrium interest rate, we need to set the money demand equal to the money supply and solve for i.

Md = Ms

$Y(0.30 - i) = $50

Substituting the given value of $Y = $250, we have:

$250(0.30 - i) = $50

Simplifying the equation, we get:

75 - 250i = 50

-250i = 50 - 75

-250i = -25

i = -25 / -250

i = 0.1

The equilibrium interest rate is 0.1, or 10% (as a percentage).

2. Money Supply to Increase Interest Rate by 10 Percentage Points:

If the Federal Reserve wants to increase the interest rate by 10 percentage points above the equilibrium rate, we need to calculate the corresponding money supply.

New Interest Rate = Equilibrium Interest Rate + Increase in Interest Rate

New Interest Rate = 0.1 + 0.1 = 0.2

To find the new money supply, we set the new interest rate in the money demand equation and solve for Ms.

Md = Ms

$Y(0.30 - i) = Ms

$250(0.30 - 0.2) = Ms

$250(0.10) = Ms

Ms = $25

Therefore, the money supply should be set at $25 to achieve an interest rate increase of 10 percentage points above the equilibrium interest rate.

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The time that it would take Walter, Riya and Teo to work together is 1.2 hours

An equation is an expression that shows the relationship between two or more numbers and variables.

Walter can decorate the MPR alone in 4 hours, Riya in 4 hours also while Teo in 3 hours.

Let t represent the time it takes to decorate the room together, hence:

(1/4 + 1/4 + 1/3)t = 1

(5/6)t = 1

t = 1.2 hours

The time to work together is 1.2 hours

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Answer:

1 hour and 12 minutes

Step-by-step explanation:

it was right on my rsm homework so its right

the criteria used when deciding upon the inclusion of a variable are A - Theory, B - t-statistic, C - Bias, and D - Adjusted R^2.

When deciding upon the inclusion of a variable, the following criteria are commonly used:

A - Theory: Theoretical justification is often considered to include a variable in a model. It involves assessing whether the variable is relevant and aligns with the underlying theory or conceptual framework.

B - t-statistic: The t-statistic is used to determine the statistical significance of a variable. A variable with a significant t-statistic suggests that it has a meaningful relationship with the dependent variable and may be included in the model.

C - Bias: Bias refers to the presence of systematic errors in the estimation of model parameters. It is important to consider the potential bias introduced by including or excluding a variable and assess whether it aligns with the research objectives.

D - Adjusted R^2: Adjusted R^2 is a measure of the goodness of fit of a regression model. It considers the trade-off between the number of variables included and the overall fit of the model. Adjusted R^2 helps in assessing whether the inclusion of a variable improves the model's explanatory power.

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Answer:

adding five

Step-by-step explanation:

-8 + 5 = -3

-3 + 5 = 2

2 + 5 = 7

7 + 5 = 12

Answer:

Step-by-step explanation:

approximately 7.29

Answer:

\( {x}^{2} + {8.5}^{2} = {11.2}^{2} \)

\( {x}^{2} + 72.25 = 125.44\)

\( {x}^{2} = 53.19 = \frac{5319}{100} \)\( x = \frac{3 \sqrt{591} }{10} = about \: 7.3 \)

Are they a system or separate inequalities? I'm not sure but either way I will solve each:

\(\begin{bmatrix}-3x+5>20\\ \frac{1}{2}x-12<6\end{bmatrix}\)

\(-3x+5>20,\\-3x>15,\\x<-5\)

\(\frac{1}{2}x-12<6,\\\frac{1}{2}x<18,\\x<36\)

Now if it were a system, the solution would be x<-5, since x<36 is the restriction. Otherwise just take x<-5 and x<36 independent of each other.

Answer:

x< -5, x<36

Step-by-step explanation:

\(-3x+5>20} \atop {\frac{1}{2}x-12<6 }} \right. \\\)

Start with the first equation and solve for x

-3x+5>20

     -5   -5

-3x>15

/-3    /-3

x< -5

Do the second:

\(\frac{1}{2}x-12<6\)

     +12    +12

\(\frac{1}{2}x\)<18

/0.5    /0.5

x< 36

The required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.

Arithmetic progression is the series of numbers that have common differences between adjacent values.

here,
The Sequences 8, 11, 14,...

first term a = 8
common difference = 11 - 8 = 3

Now,
The explicit formula is given as,
nth terms = a + (n - 1)d
nth term = 8 + (n - 1)3

Thus, the required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.

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In this simplex tableau, x₄, x₅, and z are the basic variables, while x₁, x₂, x₃, x₆, x₇, and x₈ are the nonbasic variables. The values of all the variables associated with this basic feasible solution are x₁ = 0, x₂ = 0, x₃ = 0, x₄ = 620, x₅ = 12, x₆ = 0, x₇ = 0, x₈ = 0, and z = 620.

In this tableau, the basic variables are x₄, x₅, and z, while the nonbasic variables are x₁, x₂, x₃, x₆, x₇, and x₈.

The basic variable associated with row 1 is x₄, the basic variable associated with row 2 is x₅, and the basic variable associated with row 3 is z.

The values of all the variables associated with this basic feasible solution are:

x₁ = 0, x₂ = 0, x₃ = 0, x₄ = 620, x₅ = 12, x₆ = 0, x₇ = 0, x₈ = 0, z = 620.

Note that these values correspond to the entries in the tableau in the "BV" column.

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The missing tableau is in the image attached below

1 gallon contains 231 cubic inches. A rectangular container has dimensions of 32 in. by 16 in. by 28 in. A comparable container is one-quarter the size. Larger container holds 61.1 more gallons.

To solve this question, we have to find the volume of both the containers. First, we will find the volume of the container whose sides are 32 in. by 16 in. by 28 in.

Volume = multiplication of sides

= 32 × 16 × 28 in

= 14,336 inches cube

Now, we will find the sides of the smaller container which is scale factor of 1/4

Side 1 of small container = 1/4 × 32 = 8 in

Side 2 of small container = 1/4 × 16 = 4 in

Side 3 of small container = 1/4 × 28 = 7 in

Volume of container which is small = 8 × 4 × 7 = 224 cu in

Now, we will calculate the difference of volume to find the difference in capacity of containers.

Larger container holds more = 14,336 cu in - 224 cu in

= 14,112 cu in

Now, we will convert it into galloons.

231 cu in = 1 galloon

14,112 cu in = 14,112 / 231 galloons

= 61.1 galloons

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We can conclude that it is extremely unlikely to obtain a sample mean greater than 904.8 minutes if the design engineer's claim about the population variance and mean is true.

We can use the Central Limit Theorem to approximate the distribution of the sample means.

Under the given assumptions, the mean of the sampling distribution of the sample means is equal to the population mean, which is 886886 minutes, and the standard deviation of the sampling distribution of the sample means is equal to the population standard deviation divided by the square root of the sample size, which is\(\sqrt{84648464/145145} = 41.77\) minutes.

Therefore, we can standardize the sample mean using the formula:

\(z = (\bar{x} - \mu) / (\sigma / \sqrt{n } )\)

where \(\bar{x}\)  is the sample mean, \(\mu\)  is the population mean, sigma is the population standard deviation, and n is the sample size.

Plugging in the values we get:

z = (904.8 - 886886) / (41.77) = -21115.47

The probability of getting a sample mean greater than 904.8 minutes can be calculated as the area under the standard normal curve to the right of z = -21115.47.

This probability is essentially zero, since the standard normal distribution is symmetric and nearly all of its area is to the left of -6.

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First, we must determine b using slope-intercept form*, the given point, and the given slope.

\(-4 = -\frac{1}{3}(-9) + b\\\\-4 = -3 + b\\\\-1 = b\)

Second, we need to set up the equation of the line in slope-intercept form.

\(y = -\frac{1}{3}x - 1\)

Third, we convert the above equation to STANDARD FORM**.

\(y = -\frac{1}{3}x - 1\\\\\frac{1}{3}x + y = -1\)

We now have our equation: \(\frac{1}{3}x - y = -1\)

*Slope-intercept form: y = mx + b

**Standard form: ax + by = c

That's great! Observing and recording the phases of the moon over several months can be an interesting project.

Capture the moon's image: Using a camera or smartphone, take a picture of the moon on a daily basis. Aim for clear and focused shots that capture the moon's details.

Present the findings: The student can create a report or presentation summarizing their project, including the methodology, observations, and conclusions. They may also include a selection of the most representative pictures to showcase the changes in the moon's appearance.

Remember, this project requires patience and consistency in taking pictures each day. By documenting the moon's phases over three months, the student will gain a deeper understanding of this celestial phenomenon and its cyclical nature.

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We are given the following absolute value equation

Let us solve the problem then we will compare it with the given solution.

Now we will solve for the positive and negative sign separately

Comparing it with the given solution, there is an error on the left-hand side step 2. (the sign of 38 should be positive but in the figure, it is shown negative)

Now let us substitute the obtained x values into the original absolute value equation and check if they satisfy the equation.

For x = -4:

Hence, x = -4 is a valid solution.

For x = -38:

Hence, x = -38 is not a valid solution.

The above is an example of an extraneous solution.

An extraneous solution is a solution that we get during the process of solving an equation but it is not really the solution meaning that it does not satisfy the equation!

Therefore, x = -4 is the only solution to the given equation.

Answer:

Given equation: x + 2y = 7

Rearrange the given equation to make y the subject:

      \(\sf x + 2y = 7\)

\(\sf \implies 2y=7-x\)

\(\sf \implies y = \dfrac12(7-x)\)

Now input the given x-values into the equation to determine the y-values:

\(\sf x=-2\implies y = \dfrac12(7-(-2))=4.5\)

\(\sf x=-1\implies y = \dfrac12(7-(-1))=4\)

\(\sf x=0\implies y = \dfrac12(7-0)=3.5\)

\(\sf x=1\implies y = \dfrac12(7-1)=3\)

\(\sf x=2\implies y = \dfrac12(7-2)=2.5\)

\(\sf x=3\implies y = \dfrac12(7-3)=2\)

As ordered pairs: (-2, 4.5)  (-1, 4)  (0, 3.5)  (1, 3)  (2, 2.5)  (3, 2)

Plot the endpoints on the graph (-2, 4.5) and (3,2), then connect with a line segment.

Answer:

44 i think :|

Answer:

x (y - 18) + X^2 + 8 y

Step-by-step explanation:

you can use wolframalpha.com

None of the wind gusts (17, 22, 8, 13, 19, 36, and 14) fall below -0.5 or above 35.5, there are no outliers in this data set. Therefore, the correct answer is D) none.

To identify any outliers in the data set, we can use a common method called the 1.5 interquartile range (IQR) rule.

The IQR is a measure of statistical dispersion and represents the range between the first quartile (Q1) and the third quartile (Q3) of a dataset. According to the 1.5 IQR rule, any value below Q1 - 1.5 × IQR or above Q3 + 1.5 × IQR can be considered an outlier.

To determine if there are any outliers in the given data set of wind gusts (17, 22, 8, 13, 19, 36, and 14), let's follow these steps:

Sort the data set in ascending order: 8, 13, 14, 17, 19, 22, 36.

Calculate the first quartile (Q1) and the third quartile (Q3).

Q1: The median of the lower half of the data set (8, 13, 14) is 13.

Q3: The median of the upper half of the data set (19, 22, 36) is 22.

Calculate the interquartile range (IQR).

IQR = Q3 - Q1 = 22 - 13 = 9.

Step 4: Identify any outliers using the 1.5 IQR rule.

Values below Q1 - 1.5 × IQR = 13 - 1.5 × 9 = 13 - 13.5 = -0.5.

Values above Q3 + 1.5 × IQR = 22 + 1.5 × 9 = 22 + 13.5 = 35.5.

Since none of the wind gusts (17, 22, 8, 13, 19, 36, and 14) fall below -0.5 or above 35.5, there are no outliers in this data set.

Therefore, the correct answer is D) none.

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Answer:

19 1-dollar bills

Step-by-step explanation:

We will call the number of 1 dollar bills "a"

We will call the number of 5 dollar bills "b"

a + b = 30 (the number of 1 dollar bills + the number of 5 dollar bills = 30 bills in total)

1a + 5b = 74 ("a" 1 dollar bills are worth 1a dollars, and "b" 5 dollar bills are worth 5b dollars. In total they are worth 74 dollars)

Next, you can "solve for a variable" in the first equation to plug into the second equation

b = 30 - a (move "a" to the other side, now "b" is equal to 30 - a)

1a + 5(30-a) = 74 (substitute "b" in the second equation for the new value of "b" you found in the previous step)

1a + 150 - 5a = 74 (distribute out 5(30-a) to get 150 - 5a)

-4a = 74 - 150 (combine like terms)

-4a = -76 --> a = 19 (simplify the right side, and divide both sides by -4 to get answer)

Refer back to the first sentence of the explanation where we said the variable "a" equals the number of $1 bills there are. Therefore, there are 19 $1 bills.

Answer:

therefore the second bouquet will have more flowers , as it will have 25 daisies

Step-by-step explanation:

3 roses for every 5 carnations

5 daisies for every 4 carnations

we can solve this using cross multiplication

3 : 5

x : 20

5x = 60

x = 60/5

x = 12

meaning that for a bouquet that has 20 carnations there will be 12 roses

5 : 4

x : 20

4x = 100

x = 25

meaning that for a bouquet that has 20 carnations there will be 25 daisies.

therefore the second bouquet will have more flowers , as it will have 25 daisies

The value are m = 2 and n = 5, and mn = 2 \cdot 5 = 10.

To simplify \sqrt[4]{400}, we can rewrite it as \sqrt[4]{16 \cdot 25}. This is because 400 can be factored into 16 \cdot 25. Taking the fourth root of each factor separately, we have \sqrt[4]{16} \cdot \sqrt[4]{25}.

\sqrt[4]{16} simplifies to 2, since2^4 = 16. \sqrt[4]{25} does not simplify further since there are no perfect fourth powers that can be multiplied together to give 25.

Therefore, the simplified form of \sqrt[4]{400} is 2\sqrt{25}. We can rewrite \sqrt{25} as 5, so the final simplified form is 2 \cdot 5.

Thus, the value of m = 2 and n = 5, and mn = 2 \cdot 5 = 10.

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Answer:

The triangles are congruent because they are both exactly the same.

Answer:

jjjokiioololll.hgyuhhkopohjo

1) On the given graph, when x = -1, f(x) = 7

2) On the given graph, when x = 0, f(x) = 4

We are given the graph of the linear function notation y = f(x).

1) Now, we want to find the value of f(x) when x = -1. Thus, we will look for the point where x = -1 is located on the graph and trace the corresponding value of y which gives us; y = 7

2) We want to find the value of f(x) when x = 0. Thus, we will look for the point where x = 0 is located on the graph and trace the corresponding value of y which gives us; y = 4

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Answer: definition of slope

Step-by-step explanation:

The results in step 7 come from substituting the coordinates into the slope formula.