Mr. Montenegro is ordering tennis shirts for his Holub tennis team. He pays a delivery fee of $18. He also pays $12 each shirt ordered. Which equation can be used to find y, the total cost Mr. Montenegro pays in dollars when x shirts are ordered?

We have the parabola with equation y = 4x².

We have to determine the shape and direction of it.

If we compare it to the standard equation y = ax² + bx + c, we can see that a = 4, b = 0 and c = 0.

As the value of a is positive, the parabola will open upward.

The parameter has an absolute value greater than 1. This means that y increases "faster" relative to x that a parabola with a = 1.

This means that the parabola will be narrow about its line of symmetry which we call vertical strecth.

Answer:

Because a is positive the parabola opens upward.

Because a has an absolute value larger than 1 the parabola is narrow about its line of symmetry which we call vertical stretch.

The statements and reasons for the proof of the triangle angle bisector theorem is AD/AB = CD/CB by cross-multiplication.

We are given that;

BD bisects ∠ABC . Auxiliary EA is drawn such that ||AE BD . Auxiliary BE is an extension of BC

Now,

To provide statements and reasons for the proof of the triangle angle bisector theorem, we can use a similar approach as 1.

Statements Reasons

1. BD bisects ∠ABC . Auxiliary EA is drawn such that

2. ∠ABD ≅ ∠CBD and ∠AED ≅ ∠CED 2. Definition of angle bisector and alternate interior angles

3. ΔABD ≅ ΔCBD and ΔAED ≅ ΔCED 3. ASA congruence criterion

4. AD/AB = ED/EB and CD/CB = ED/EB 4. Corresponding parts of congruent triangles are congruent (CPCTC)

5. AD/AB = CD/CB 5. Transitive property of equality

6. AD AB = CD CB 6. Cross-multiplication property of proportions

Therefore, by congruent triangles the answer will be AD/AB = CD/CB by cross-multiplication.

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The total electric force on the 7.00−μC charge is 0.872 N at an angle of 330°.

The force exerted on the 7.00−μC charge by the 2.00−μC charge is

F₁​ ​= \(k_{e}\)q₁q₂​​/r₂ r^

= [(8.99×10⁹N.m²/C²)(7.00×10^−6C)(2.00×10^−6C) ×(cos60°i^+sin60°j^​)]/ (0.500m)²

F₁ ​= (0.252i^+0.436j^​)N

Similarly, the force on the 7.00μC charge by the −4.00−μC charge is

F₂​ ​= \(k_{e}\)q₁​q₃/​r² ​​r^

= [(8.99×10⁹N.m²/C²)(7.00×10^−6C)(−4.00×10^−6C)​×(cos60°i^−sin60°j^​)]/(0.500m)²

F₂​ ​=(0.503i^−0.872j^​)N

Hence, the total force on the charge 7.00−μC  is

F = F₁​​+F₂​

​=(0.755i^−0.436j^​)N

We can also note the total force as:

F = (0.755N)i^−(0.436N)j^​ = 0.872N

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--This question is incomplete; the complete question is

"Three charged particles are located at the corners of an equilateral triangle, as shown in Figure. Calculate the total electric force on the 7.00−μC charge."--

Using the expected value of a discrete distribution, it is found that the amount of points the player should lose for not rolling doubles in order to make this a fair game is of 1.

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

In this problem, considering 6 out of 6^2 = 36 outcomes are doubles, we have that the distribution is:

P(X = 5) = 1/6.

P(X = x) = 5/6.

A fair game means that the expected value is of 0, hence:

\(5\frac{1}{6} - \frac{5x}{6} = 0\)

\(\frac{5x}{6} = \frac{5}{6}\)

\(x = 1\)

The amount of points the player should lose for not rolling doubles in order to make this a fair game is of 1.

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Answer:

the player should lose 1 point for not rolling doubles

B. 1

Step-by-step explanation:

just took the test on edge 2022

The decision for this test at a .05 level of significance is not enough information to make a decision the correct answer is (d).

To make a decision for a hypothesis test, we compare the obtained test statistic (in this case, z = 1.80) with the critical value(s) based on the chosen level of significance (in this case, α = 0.05).

For a one-sample z test, if the obtained test statistic falls in the rejection region (i.e., beyond the critical value(s)), we reject the null hypothesis. Otherwise, if the obtained test statistic does not fall in the rejection region, we fail to reject the null hypothesis.

Without knowing the critical value(s) corresponding to a significance level of 0.05 and the directionality of the test (one-tailed or two-tailed), we cannot determine the decision for this test. Therefore, the correct answer is (d) There is not enough information to make a decision.

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Answer:

Step-by-step explanation:

Given

Solving for x

Answer:

x=15

Step-by-step explanation:

5x+17+36=128

5x+53=128

5x=75

x=15

Scatterplots are effective tools for visualizing relationships, detecting outliers, identifying clusters, examining data distributions, and comparing multiple groups.

A scatterplot is most useful in the following situations:

1. Relationship Analysis: When you want to analyze the relationship between two continuous variables, a scatterplot can help visualize any patterns or trends in the data. It allows you to see how the variables are related and whether there is a positive, negative, or no correlation between them.

2. Outlier Detection: Scatterplots can help identify outliers in a dataset. Outliers are data points that deviate significantly from the overall pattern, and they can have a large impact on statistical analyses. By plotting the data points on a scatterplot, you can easily spot any observations that are far away from the general trend.

3. Clustering or Grouping: If you suspect that your data may exhibit clustering or grouping behavior, a scatterplot can reveal these patterns. It allows you to visually identify any distinct clusters or groups of data points, which can provide insights into different subsets or categories within your data.

4. Data Distribution: Scatterplots can provide an overview of the distribution of data points. By examining the spread and concentration of points across the plot, you can gain insights into the overall distribution shape, such as whether it is uniform, skewed, or follows a specific pattern.

5. Comparison of Multiple Groups: Scatterplots can be useful when comparing data points from different groups or categories. By using different colors or shapes to represent different groups, you can visually compare their distributions and observe any differences or similarities.

They provide a graphical representation that can aid in analyzing and making decisions or drawing conclusions based on the patterns and trends observed in the data.

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An angle θ with 0∘<θ<360∘ that has the same:

Sine function value as 230°: θ = 50° degrees
Cosine function value as 230°: θ = 130° degrees

To find an angle θ with 0° < θ < 360° that has the same sine and cosine function values as 230°, you can use the following methods:

For the sine function:

Since sine is positive in the first and second quadrants, you can find the reference angle for 230°, which is in the third quadrant. The reference angle is calculated by subtracting 180° from 230°:
230° - 180° = 50° (reference angle)

Now, to find the angle with the same sine value, we can use the first quadrant angle:
θ = 50° (since sine(50°) = sine(230°))

For the cosine function:

Since cosine is positive in the first and fourth quadrants, you can find the angle in the fourth quadrant that has the same cosine value as 230°. To do this, subtract 230° from 360°:
360° - 230° = 130°

So, the angle with the same cosine value is:

θ = 130° (since cosine(130°) = cosine(230°))

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Answer:

same

Step-by-step explanation:

Answer:

same

Step-by-step explanation: same free coins ;)

The shorter side should be 200 ft and the longer side should be 200 ft. This would give the garden the greatest possible area of 40,000 square-feet.

1. The area of a rectangle can be calculated by multiplying the length and width together.

A = L * W

2. We know that the total amount of fencing is 400 ft.

3. We also know that one side of the garden is a river and so it doesn't require fencing.

4. Therefore, the remaining fencing must be divided equally between the two other sides of the garden (200 ft per side).

5. We now know that the length and width of the garden are both 200 ft.

6. Plugging these values into the area equation, we get:

A = 200 ft * 200 ft = 40,000 sqft

7. Therefore, the greatest possible area of the garden is 40,000 square-feet..

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Answers: First Quadrant and Fourth Quadrant

======================================================

Explanation:

Let

be the two complex numbers.

Multiply them out to see what we get

\(w*z = (c+di)(e-fi)\\\\w*z = c(e-fi)+di(e-fi)\\\\w*z = ce-cf*i+de*i-df*i^2\\\\w*z = ce-cf*i+de*i-df*(-1)\\\\w*z = ce-cf*i+de*i+df\\\\w*z = (ce+df)+(-cf+de)*i\\\\\)

The result we get is in the form a+bi where

Recall that any complex number of the form a+bi can be plotted on the xy plane with 'a' being treated as the x coordinate and b as the y coordinate. In short, the location of a+bi is at the point (a,b)

With c,d,e,f being positive, this means ce and df are positive, and a = ce+df is also positive.

This places the result of wz in either the first or fourth quadrants (the northeast or southeast quadrants respectively), due to the positive x coordinate.

We don't have enough info to determine whether b = -cf+de is positive or not. So that's why we can't nail down the precise quadrant of wz

If b > 0, then wz is in quadrant 1

If b < 0, then wz is in quadrant 4

As per the given function, the equation of tangent line is y - e = e(x -1)

The term tangent line in math referred as a function y=f(x) can be calculate the slope by taking derivative m=f′(x) then at a given point (x1,y1) equation of tangent line is given by the formula y−y1=m(x−x1)

Here we have given the expression y = eˣ/x

Now, we have to calculate the tangent line for the given function,

Let us consider, Slope of the tangent line is written as,

=> m = dy/dx

Now, we have written it as,

=> dy/dx = eˣ/x

then the equation is equate with the slope, then  we get,

=> m = eˣ/x

When we put the value of x as 1, then we get

=> m = e

Here we know that the point value is (1, e)

Therefore, the equation of the tangent line is written as,

=> y - e = e(x -1)

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Answer:5,200ft and 145in is less than a mile and 40in

Step-by-step explanation: I got this answer by first figuring out how many feet are in 145in so i did 145 divided by 12 which gave me 12.083... so I added just 12 to 5,200 which gives 5,212

Then I know that there are 5,280ft in 1 mile which is already bigger than 5,212 then I still add 40 divided by 12 which equals 3.3... to the total which gives me 5,283ft which is more than 5,212

Hope this Helps!

At the end of the fifth day, a bricklayer has laid 324 bricks on the job.

Multiplication is a mathematical arithmetic operation.

It is also a process of adding the same types of expression to some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given, a bricklayer lays 4 bricks on the first day on the job.

On each day thereafter, he lays three times the number of bricks he laid on the previous day.

And he continued his pattern.

Let x be the number of bricks he laid in the previous day.

Then according to the question,

The number of bricks in total is = 3x

For the second day, x =4

Number of the bricks he laid on the second day = 12

Now the x =12 for the third day.

Number of the bricks he laid on the third day = 36

Now x = 36 for the fourth day.

Number of the bricks he laid on the fourth day = 108

Now the x = 108 for the fifth day.

Number of the bricks he laid on the fifth day = 324

Therefore, 324 bricks he has laid at the end of the fifth day.

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Answer:

\(\Huge \boxed{\mathrm{55}}\)

Step-by-step explanation:

\(-7x + 6\)

Put x as -7 and evaluate the expression.

\(-7(-7)+6 \\\\\\ 49+6 \\\\\\ 55\)

The length of an edge of the cubical tank is approximately 9.41 cm.

To find the length of an edge of the cubical tank, we can use the given information.

We know that the water in the cubical tank was poured into an empty rectangular container until it was completely filled. Therefore, the volume of water in the rectangular container is equal to the volume of the cubical tank.

Let's assume that the length of an edge of the cubical tank is x cm. Since it is a cube, the volume of the cubical tank is x^3 cubic cm.

Now, let's calculate the volume of the rectangular container. We know that there were 788 cm of water left in the cubical tank. So, the volume of the rectangular container is 788 cubic cm.

Since the volume of the cubical tank is equal to the volume of the rectangular container, we have the equation: x^3 = 788.

To solve for x, we take the cube root of both sides of the equation: x = ∛788.

Calculating this, we find that x ≈ 9.41 cm.

Therefore, the length of an edge of the cubical tank is approximately 9.41 cm.

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The program that reads in a five digit integer and determines whether it’s a palindrome can be written using c programming language

Here we have to write, C program that reads in a five-digit integer and determines whether it's a palindrome or not

Palindrome program is:

#include <stdio.h>

int main() {

   int num, temp, digit1, digit2, digit3, digit4, digit5;

   // Read in the five-digit integer

   printf("Enter a five-digit integer: ");

   scanf("%d", &num);

   // Separate the digits of the number

   digit1 = num / 10000;

   digit2 = (num / 1000) % 10;

   digit3 = (num / 100) % 10;

   digit4 = (num / 10) % 10;

   digit5 = num % 10;

   // Check if the number is a palindrome

   temp = digit5 * 10000 + digit4 * 1000 + digit3 * 100 + digit2 * 10 + digit1;

   if (temp == num) {

       printf("%d is a palindrome.", num);

   } else {

       printf("%d is not a palindrome.", num);

   }

   return 0;

}

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Answer:

a) 1316 dollars

b) 6916 dollars

Step-by-step explanation:

Last year, Goran opened an investment account with 5600. At the end of the year, the amount in the account had increased by 23.5% .

a) How much is this increase in dollars?

The increase on dollars is calculated as:

5600 × 23.5%

= 1316 dollars

b) How much money was in his account at the end of last year ?

The amount of money in his account at the end of last year is calculated as:

Increase + Initial amount invested

=( 1316 + 5600) dollars

= 6916 dollars

On solving the provided question, we can say that  - he need 56  answers he need to get correct if he want a grade of 80 percent on a test with 70 questions

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. It has no measuring systems. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) * 100%.

Assuming that all of the questions are equally weighted, 56 is equal to 80% of 70. (.80)(70)=56

Therefore, 56 out of 70 is the lowest number you may get correct, or 80%.

\(70-56=14\)

So, the maximum number of questions you may omit is 14.

As an alternative, if you desire 80% accuracy, you can have no more than 20% errors.

20% of 70 \(= .20)(70) = 14\)

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Answer: 684!

Step-by-step explanation: A= (b1+b2)h divided by 2, base one is 26, base twow is 46, and height is 19, b1 is base one b2 is base 2 , and h is height.

Answer:

7

Step-by-step explanation: 5.5 divided by 0.75 is 7.3333333333

Answer:

vsbuz and the rest are able for me with a weight that I have to take on a diet that I am not a mass patient of kg and is a cos I am not sure if it will work for me or if I should be in a good position for a job or something that would work done well for you to do the science course in a year and then you will need a little more time for your business and your family and friends and to the world and your world and your life is the net of life for your family to make

Answer:

2.646x10/4

Step-by-step explanation:

One possible transformation is a reflection in the x-axis followed by a dilation centered at the origin with a scale factor of 3.

A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.

Before the dilation, the figure was reflected from the first quadrant to the second quadrant, which is a lateral reflection, hence the figure was reflected over the x-axis.

The height of the blue triangle is of 1 unit, while the height of the larger triangle is of 3 units, hence the scale factor is given as follows:

k = 3/1

k = 3.

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The farmer needs to sow 135 acres of corn and wheat, and 45 acres of wheat.

A linear equation is the algebraic expression y=mx+b. B is the y-intercept, and m is the slope. A "linear equation in two variables" is the term used to describe the previous sentence, where y and x are variables. Two variables make up bivariate linear equations. Examples include the linear equations 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is said to be linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.

given

180 acres total land area

The corn acres should be C.

The wheat acres should be W.

A 180-acre property is planted with wheat and corn by a farmer.

Equation 1: C + W = 180

Corn is grown on three times as many acres as wheat:

Equation 2 is created by substituting C = 3W into Equation 1. The result is:

45 acres is W.

For corn, 135 acres equals C.

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In conclusion, a simultaneous equations system involves solving multiple equations together, exogenous variables are independent, endogenous variables are dependent, a structural form model represents causal relationships, and a reduced form model simplifies the relationships between variables.

I. Simultaneous equations system refers to a set of equations where multiple unknown variables are solved simultaneously. These equations are interdependent and must be solved together.

II. Exogenous variables are independent variables in a statistical or economic model. They are not influenced by other variables in the model and are often determined outside the system being analyzed.

III. Endogenous variables, on the other hand, are dependent variables in a statistical or economic model. They are influenced by other variables in the model and are determined within the system being analyzed.

IV. Structural form model is a representation of a system that shows the relationships between endogenous and exogenous variables. It describes the underlying theory or causal relationships between variables.

V. Reduced form model is a simplified version of the structural form model, where all variables are expressed as functions of exogenous variables. It focuses on the relationships between endogenous variables without considering the underlying theory or causality.

In conclusion, a simultaneous equations system involves solving multiple equations together, exogenous variables are independent, endogenous variables are dependent, a structural form model represents causal relationships, and a reduced form model simplifies the relationships between variables.

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The probability that a randomly selected person is either a student opposed to the change or a faculty member who has an opinion either for or against is given as follows:

31/88.

A probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The total number of outcomes in this problem is given as follows:

176 people.

The desired outcomes are given as follows:

(these outcomes are both calculated from the data given by the table).

Hence the probability is calculated as follows:

p = (41 + 21)/176 = 62/176 = 31/88.

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The correct answer is 4. (3 cos θ - sin θ, 3 sin θ + θ cos θ)

To derive the parametric equations for P, we can use the concept of involutes, which is a curve that is generated by unwinding a taut string from a circle. Let O be the center of the circle, and let P be a point on the involute curve that is obtained by unwinding the thread from the spool.

We can use the angle 0 as the parameter for the parametric equations of P. Let OP = r, and let the tangent to the circle at P intersect the x-axis at point Q. Since PQ has length 30, we have:

PQ = rθ = 30

Differentiating both sides with respect to θ, we get:

r + r'θ = 0

where r' denotes the derivative of r with respect to θ. Solving for r', we get:

r' = -r/θ

Next, we can express the coordinates of P in terms of r and θ. Since P lies on the circle of radius 3 centered at O, we have:

x = 3cosθ
y = 3sinθ

To find the coordinates of Q, we note that the tangent to the circle at P is perpendicular to the radius OP. Therefore, the slope of the tangent at P is given by:

dy/dx = -cosθ/sinθ = -cotθ

Since the tangent passes through P, we can use the point-slope form of the equation of a line to get:

y - 3sinθ = -cotθ(x - 3cosθ)

Simplifying, we get:

y = 3sinθ - θcosθ

Finally, we can express the coordinates of P in terms of r and θ by eliminating r between the equations for r' and PQ, and substituting for x and y in terms of θ. This gives:

x = 3cosθ - rsinθ
y = 3sinθ + rcosθ

Substituting r' = -r/θ, we get:

x = 3cosθ - 3sinθ(θ/r)
y = 3sinθ + 3cosθ(θ/r)

Multiplying both sides of each equation by r, we get:

rx = 3r cosθ - 3θ sinθ
ry = 3r sinθ + 3θ cosθ

Therefore, the parametric equations for P in terms of θ are:

x = 3 cos θ - sin θ
y = 3 sin θ + θ cos θ

which matches option 4.

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