Rewrite the set U by listing its elements. Make sure to use the appropriate set
notation.
U= {x|x is an integer and -4 U =

Answer:

  (x, y) = (17, 10)

Step-by-step explanation:

You want the values of x and y given three angles written in terms of x and y at a transversal crossing parallel lines.

Angles at lower right of the points of intersection are corresponding angles, and are congruent:

  (9x -16)° = (8x +1)°

  x = 17 . . . . . . . . . . . . . divide by °, add 16-8x

The marked angles at the bottom form a linear pair, so are supplementary.

  (4y +3)° = 180° -(9x -16)°

  4y +3 = 180 -9(17) +16 = 43 . . . . . . use 17 for x and simplify

  4y = 40 . . . . . . subtract 3

  y = 10 . . . . . . divide by 4

Answer:

$1,127.49

Step-by-step explanation:

Compound interest formulas

Hence, if a two-year savings account containing $1,000 pays a 9% interest rate compounded daily, it will grow to $1,127.49 at the end of two years

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4) Lower bound = 24.06

Use Dergy Willing

upper bound = 28.55

5)Lower bound = 18.12

upper bound = 34.4

Healthy body=A healthy body is maintained by good nutrition, regular exercise, avoiding harmful habits, making informed and responsible decisions about health, and seeking medical assistance when necessary. Health is a state of complete physical, mental and social well-being and not merely the absence of disease or infirmity .A  state of complete physical, mental and social wellbeing and not merely the absence of disease or infirmity'.

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The slope of the line between points A and B based on data provided in the table is -0.29. (Option A)

The slope of the line refers to is the change in y coordinate with respect to the change in x coordinate. The net change in y-coordinate is represented by Δy and the net change in x-coordinate is represented by Δx.

From the table point A is (5, 18) and B is (12, 16).

The formula of the slope = Δy/ Δx = (y2 – y1)/(x2 – x1)

Hence the slope of line between points A and B is

Slope = (16 – 18)/(12 – 5) = -2/7 = -0.29

Note: The question is incomplete as it is missing options which are A) -0.29 B) -3.5 C) 0.29 D) 3.50 E) -1.00

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The marginal rate of substitution (MRS) is a measure of how much of one good an individual is willing to give up in exchange for another good. In other words, it represents the slope of the indifference curve at a given point.

If Victoria's indifference curves are bowed outward, it means that as she moves from right to left along the horizontal axis, the MRS will decrease. This is because as she consumes more of one good, she becomes less willing to give up units of the other good in exchange. The MRS will continue to decrease until it reaches its minimum value at the point where the indifference curve is tangent to the budget line.

It's important to note that the MRS will only decrease if Victoria's indifference curves satisfy the other three properties of indifference curves:

If Victoria's indifference curves do not satisfy these properties, it is not possible to accurately determine the behavior of her MRS as she moves from right to left along the horizontal axis.

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The fraction of the book chung read on the second day is 17/40 and No, he didn't finish the book in two days

fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. In proper fractions the denominator is greater than the numerator but in improper, the denominator is lesser than the numerator.

Chung read 5/8 of a book

let's represents the volume pages of the book by x

therefore chung read 5/8 × x = 5x/8

on the second day, he read 1/5 less of the previous day = 5x/8-1/5x = 17x/40 i.e he read 17/40 of the book on the second day

the volume of pages left = x - (17×/40+5×/8)

x-22x/40

the fraction of remaining page left = (40-22)x/40

= 28x/40

divide through by 4

7/10 of x

therefore 7/10 of the book is still left to be read. This means chung didn't finish reading the book on the second day.

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The number of each type of tickets sold are;

180 adults tickets

260 students tickets

60 children tickets

Let us solve to get the solution using 3 variables.

Let c be the number of children's tickets

Let s be the number of student tickets

Let a be the number of adult tickets

We are told that the total number of tickets was 500

Thus;

a + s + c = 500   ------(1)

The number of adult tickets was 3 times the number of children's tickets. Thus;

a = 3c   ------(2)

The total cost of the tickets was $8070. Thus;

18a + 15s + 12c = 7860  ----(3)

We conclude that solving these three equations simultaneously gives us;

a = 180 adults

s = 260 students

c = 60 children

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We can use the confidence interval formula to estimate how much the drug will lower a typical patient's systolic blood pressure with 80% confidence.

The confidence interval formula is:

Sample mean ± (t-score × standard error)

Where the t-score is calculated from the t-distribution using the number of degrees of freedom (n-1) and the confidence level (80%).

Using the given information, we can calculate the t-score as follows:

t-score = 1.711 (for 80% confidence level and 28 degrees of freedom)

Therefore, the confidence interval is:

55.9 ± (1.711 × (7.4/√29))

= 55.9 ± 4.125

So, with 80% confidence, we can say that the drug will lower a typical patient's systolic blood pressure by between 51.8 and 60.0.

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The center of mass for the system (x, y) is [tex]\left(\frac{a m+b M}{m+M}, 0\right)[/tex].

What is center of mass?

The unique location where the weighted relative position of the scattered mass adds to zero is known as the center of mass in physics. Here is where a force may be applied to produce a linear acceleration without also producing an angular acceleration.

The center of mass is a position defined relative to an object or system of objects. It is the average position of all the parts of the system, weighted according to their masses.

Centre of mass is

[tex]x=\frac{m a+M b}{m+M}[/tex]

and y=0

[tex](x, y)=\left(\frac{a m+b M}{m+M}, 0\right)[/tex]

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Answer: The solution here is found by establishing a system of linear equations.

A system of equations with x unknowns can be evaluated for an exact solution if the system has x equations.

Within the question, we are asked to discover the values of two different unknowns - dimes and nickels.

Therefore, we'll need two equations to obtain an exact solution, both of these will come directly from the problem itself.

Let d represent the number of dimes Diane has and let n represent the number of nickels.

Equation 1

We know from the given information that the total number of coins (both dimes and nickels) is equal to 19.

Subsequently, we can generate the equation d + n = 19.

Equation 2

We know that the individual value of a dime is $0.10 or 0.1 dollars, therefore the total value of the dimes is equal to the individual value of a dime multiplied by the total number of dimes.

The resultant expression for the total value of the dimes is (0.1)*d

We know that the individual value of a nickel is $0.05 or 0.05 dollars, therefore the total value of the nickels is equal to the individual value of a nickel multiplied by the total number of nickels.

The resultant expression for the total value of the nickels is (0.05)*n

We know that Diane only has dimes and nickels, and the total value of all her coins must be equal to the total value of the dimes plus the total value of the nickels. This value is given within the problem to be $1.55 or 1.55 dollars.

Subsequently, our second equation within the system is (0.1)*d + (0.05)*n = 1.55.

Now, we can solve the system of equations using whichever means is most convenient. For this example, I will solve the system by substitution

First, solve for one of the variables —> Equation 1 —> d + n = 19 —> d = 19 - n

Second, substitute the value of d into Equation 2 —> (0.1)*(19 - n) + (0.05)*n = 1.55

Recall that 0.1 = 1/10 and 0.05 = 1/20

Equation 2 —> (1/10)*19 - (1/10)*n + (1/20)*n = (31/20) —> (19/10) - (n/10) + (n/20) = (31/20)

Find the least common denominator of all fractions in the equation (20 in this case), convert the fractions to have like denominators, and solve.

(19/10)*(2/2) - (n/10)*(2/2) + (n/20) = (31/20) —> (38/20) - (2n/20) + (n/20) = (31/20) —> (38/20) - (n/20) = (31/20) —> (n/20) =(38/20) - (31/20) =(7/20) —>n = 7

Substitute solution into Equation 1 to solve for d

d + 7 = 19 —> d = 12

q+4+q + 10q+40 + 25q = 155

37q + 44 = 155

37q = 111

q = 3 (# of quarters)

d = q+4 = 7 (# of dimes)

p = d+q = 7+3 = 10 (# of pennies)

Step-by-step explanation:

The pooled proportion is 0.200 and the standard error of the difference in the proportions is 0.0201.

1. The null hypothesis is Pu-Po = 0, which means that the proportion of people under 18 who had accidents is the same as the proportion of people over 18 who had accidents.

2. To calculate the pooled proportion, we first add the total number of people in each group (500 + 600 = 1100). Then we add the total number of accidents in each group (180 + 150 = 330). Finally, we divide the total number of accidents by the total number of people to get the pooled proportion (330/1100 = 0.200).

3. The standard error of the difference in the proportions can be calculated using the formula SE = SQRT(P1*(1-P1)/n1 + P2*(1-P2)/n2), where P1 is the proportion of people under 18 who had accidents, P2 is the proportion of people over 18 who had accidents, and n1 and n2 are the number of people in each group. In this case, P1 = 150/600 = 0.250, P2 = 180/500 = 0.360, n1 = 600, and n2 = 500. Plugging these values into the formula gives us SE = SQRT(0.250*(1-0.250)/600 + 0.360*(1-0.360)/500) = 0.0201.

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Both lines are not connecting each other. So there is no solution. So the pair of lines, identify the system of inconsistent.

In the given question, we have to check the following pair of lines, Identify the system by type.

(a) consistent

(b) inconsistent

(c) equivalent

As we know that;

A system is consistent if it has at least one solution. A consistent system is dependent if there are an endless number of possible solutions. Both equations show the same line on a graph when you plot the equations.

A inconsistent system has no solution. There is no solution because the graphs of the lines do not connect, making the graphs parallel.

Even if the vertices of two graphs differ or are rearranged, we will pronounce them equivalent if they have the same edge structure.

As we can see that in the graph that both lines are not connecting each other. So there is no solution. So the pair of lines, identify the system of inconsistent.

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Answer:

200

Step-by-step explanation:

The sum is 182.5, which is 200 to 1 significant figure.

The slope linear relationship (1,3) and (-2,-1) is 4/3.

What is  line?

A line has length but no breadth, making it a one-dimensional figure. A line is made up of a collection of points that may be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it. Collinear points are two points that are located on the same line.

Find the line y=m x+b passing through (1,3),(-2,-1).

Compute the slope [tex]$(1,3),(-2,-1): \quad m=\frac{4}{3}$[/tex]

Compute the y intercept: [tex]$\quad b=\frac{5}{3}$[/tex]

Construct the line equation [tex]$\mathbf{y}=\mathbf{m} x+b$[/tex]  where [tex]$m=\frac{4}{3}$[/tex]and [tex]$b=\frac{5}{3}$[/tex]

[tex]y=\frac{4}{3} x+\frac{5}{3}$$[/tex].

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The appropriate hypothesis test results that it reject the null hypothesis and accept the alternative hypothesis. The z score of -7.26 is in the rejection area

How to calculate hypothesis test?

The general form to calculate the hypothesis is by using the sample data and assuming the null hypothesis is true, calculate the value of the test statistic.

Here the hypothesis test for the population mean μ, we use the t-statistic t = x  − (μ*s) / n

where the t-distribution with n - 1 degrees of freedom.

Here we have given that suppose that a particular NFL team claims that the mean weight of their defensive players is 315 pounds.

And we need to find  appropriate hypothesis test and make conclusions at significance level 0.08 and here we have to assume weights are normally distributed.

While we looking into the given question, we have identified that weights are normally distributed.

Then the value of the given data are written as

data = 315 ,

n= 15 ,

Mean = 300,

standard deviation = 8,

Significance level= 0.08

Then the hypothesis is written as,

The critical value (cutoff point) is 1.761.

Where in left-tail hypothesis testing, any z score less than the critical value will be rejected. Since -7.26 is less than 1.761, we reject the null hypothesis. We accept the alternative hypothesis

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The equation for an arithmetic sequence will be;

⇒ T(n) = a + (n - 1) d

Where, 'a' is first term of an arithmetic sequence, 'd' is common difference and 'n' is number of terms.

An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.

Given that;

The sequence is an arithmetic sequence.

Now,

Since, The sequence is an arithmetic sequence.

Let 'a' is first term of an arithmetic sequence, 'd' is common difference and 'n' is number of terms.

Then, The nth term of an arithmetic sequence is,

⇒ T(n) = a + (n - 1) d

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Based on the rating system and the summarize() and mean() functions, the code chunk to add is summarize(mean(Rating)) and the mean rating is 3.185933.

To determine the mean value for the variable Rating, you must add the code chunk summarize(mean(Rating)). Trimmed flavors df%>% summarize(mean(Rating)) is the right code. In this section of the code:

You can display summary statistics using the summarize() method. To generate specific statistics, you can combine the summarize() method with others like mean(), sd(), and max().

In this instance, you compute the mean value for the variable Rating using the mean() function.

The average score is 3.185933.

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Answer:

y=3/4x-2

Step-by-step explanation:

The values of m and n required to form perfect square trinomials are given as follows:

a) m = -10, n = 25.

b) m = 6, n = 9.

c) m = 12, n = 180.

d) m = -7/2, n = 49/16.

Perfect square trinomials are expressions that have either of these two formats:

The term that multiplies x is always the multiplication of 2 by both of the two terms that are added.

Hence in item 1, the expression is completed as follows:

x² - 10x = (x - 5)² - 25 = x² - 10x + 25 - 25

Meaning that m = -10, n = 25.

In item 2, the expression is completed as follows:

x² + 6x = (x + 3)² - 9 = x² + 6x + 9 - 9.

Hence m = 6, n = 9.

In item 3, the expression is completed as follows:

5x² + 60x = 5(x² + 12x) = 5(x + 6)² - 180 = 5(x² + 12x + 36) - 180 = 5(x² + 12x + 180 - 180).

Hence m = 12, n = 180.

In item 4, the expression is completed as follows:

2x² - 7x = 2(x² - 7/2x) = 2(x² - 7/4x)² - 49/32 = (2x² - 7/2x + 49/16 - 49/16).

Hence m = -7/2, n = 49/16.

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Answer:

Step-by-step explanation:

We have two types of textbooks. Let's use "x" to represent the number of math textbooks and "y" to represent the number of history textbooks.

Altogether, the bookseller sold 240 math and history textbooks. So:

x + y = 240

Now, the number of history textbooks sold was 72 less than the number of math books sold. So:

y = x - 72

Now we can substitute for y in the equation and solve:

x + y = 240

x + (x - 72) = 240

2x - 72 = 240

2x = 312

x = 156

The bookseller sold 156 math textbooks.

Since y = x - 72, he must have sold 84 history textbooks.

Let's check our answers:

x + y = 240

156 + 84 = 240

That is true, so we did get the correct answers

a) The value in four years is 2,207,626

b) The growth rate percent is 102.5 %

c) It would attain the value in 11 years.

We know that a function has to do with a mathematical rule that is used for the establishment of a fact. We have from the question that the function that models the car is; V = 2000000(1.025)^n

Let us recall that n has to do with the number of years.

a) In four years, the value of the car would be;

V = 2000000(1.025)^4

V = 2,207,626

b) The growth rate percent of the function can  be obtained as;

1.025 * 100 = 102.5 %

c) To obtain the year in which the value of the car would reach 2624173.32, we have;

2624173.32 = 2000000(1.025)^n

2624173.32/2000000 = (1.025)^n

1.312 = (1.025)^n

ln1.312 = n ln (1.025)

n = ln1.312 /ln (1.025)

n = 0.272/0.025

n = 11

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We have to find a problem at the 5% significance level.

Sample size = 10.

We're losing one till test if the Significant value is at five and 10. The critical value of W. C. is 44. When we look at the test, we're supposed to do one tailed. Which tail is it?

We are asked if one is more effective than the other.

Everything is mostly positive here, and we find what our values are. Mhm. 10 patients who used love level high school obtained additional sleep hours by using the following data set High bromide.

That's the control group minus the other one.

The control group is made up of people. I'm not sure if it's a left or right tail, so we'll just calculate the two ends.

The other tail is going to be divided by two and the right tail is going to be 44. 55 minutes 44 is going to be 11. It's very handy. Okay. If it's less than 11 it won't reject and if it's greater than 44 it will reject. Is it sound good? We had 10 students who were at the positive values and they were 1.9 plus 0.8 plus 1.1 plus 0.1. We get 23.4 for our nut. Okay. Critical value leads us straight to the middle. We failed to reject the null hypothesis and this was just a right tail test. If we tried it again at the 1% significance level, it would change our values to be 50. We did 10 tons 11 divided by two. Fifty is going to be five. Again, 23.4 lands us right in there.

We failed to reject the hypothesis again.

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Answer: Heat

Step-by-step explanation:

Heat is thermal energy that flows from something at a higher temperature to something at a lower temperature.

Answer:

it is heat

A

Step-by-step explanation:

among all option it is only heat that is a thermal energy

HEAT is thermal energy that is transferred from something at a higher temperature to something at a lower temperature

ADDITIONAL INFORMATIONS

state means the particular condition that someone or something is in at a specific time.

plasma means the colourless fluid part of blood, lymph, or milk, in which corpuscles or fat globules are suspended.

charge means is the physical property of matter that causes it to experience a force when placed in an electromagnetic field.

PLS RATE ASBRAINLIEST

Answer:

Your Answer is A.

Step-by-step explanation:

First look at the inequality graph.

We can note that its a variable is greater than 2. (p >2)

Then looking at our options.

Option A can be.

Option B can't be it since its greater than or equal to.

Option C can be.

Option D can't be since dividing or multiplying by a negative switches the signs greater than to less than or vice versa.

Leaving only option A or C.

Solve A and C.

5p + 4 > 14

5p > 10

p > 2

5p - 4 > 14

5p > 18

p > 18/5

The exponential equation that represents the population of wolves over time is -

y = 12(1.12)ˣ

        [tex]y = log_{e}x[/tex]

Given is a table as shown in the question.

Assume the exponential equation to be -

y = A(B)ˣ

At [x] = 0, [y] = 12 -

12 = A(B)⁰

A = 12

and

At [x] = 2, [y] = 15 -

15 = A(B)²

(B)² = 15/12

(B)² = 1.25

(B) = √(1.25)

(B) = 1.118

(B) = 1.12

The equation will be -

y = 12(1.12)ˣ

Therefore, the exponential equation that represents the model is -

y = 12(1.12)ˣ

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Answer:

It's answer B

Step-by-step explanation:

Answer:

The sales tax rate is 7.96%.

Step-by-step explanation:

To determine the sales tax rate, we need to first calculate the amount of the discount on the tablet by multiplying the regular price by the discount percentage:

Discount = Regular price * Discount percentage

Discount = $330 * 15%

Discount = $49.50

Next, we can calculate the total price of the tablet before taxes by subtracting the discount from the regular price:

Total price before taxes = Regular price - Discount

Total price before taxes = $330 - $49.50

Total price before taxes = $280.50

Finally, we can calculate the sales tax rate by dividing the total amount of taxes paid by the total price of the tablet before taxes and multiplying by 100% to express the result as a percentage:

Sales tax rate = (Total amount of taxes paid / Total price before taxes) * 100%

Sales tax rate = ($302.94 - $280.50) / $280.50 * 100%

Sales tax rate = $22.44 / $280.50 * 100%

Sales tax rate = 7.96%

Therefore, the sales tax rate is 7.96%.

linearity and relevant range include the use of cost behavior pattern data.

the existence of a chain of thoughts or actions wherein one directly follows another: True autobiographies rarely have a linear structure. We don't have a linear existence. Constantly thrown off balance is the narrative's traditional linearity.

The accounting phrase "relevant range" refers to the production or activity parameters that a company must adhere to in order to keep its fixed costs constant. Fixed costs in accounting are constant and unaffected by particular production rates.

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Therefore , the answer to this problem is that planned delivery time is the amount of time required to get material.

Time scheduling is a group of methods for creating and presenting schedules that indicate when work will be done. All of these methods' outcomes are typically displayed as activities or bars on a timeline known as a Gantt chart.

Here,

Obtaining the substance requires the following scheduling if it is externally manufactured.

So ,

When a material is purchased outside, the planned delivery time is the amount of time required to get the material.

Therefore , the answer to this problem is that planned delivery time is the amount of time required to get material.

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The complete question is "which of the following scheduling times is needed to obtain the material if it is externally produced or not ?

a.In-house production time.

b.Goods issue processing time.

c.  Planned delivery time.

d. Goods receipt processing time."