What is 2008 AP Multiple Choice AB answers and solutions?

Answers

Answer 1

The 2008 AP Multiple Choice AB answers and solutions can be found on the College Board website or through other online resources.

However, it is important to remember that simply looking up the answers will not help you in the long run. It is important to understand the concepts and methods behind each question in order to be successful on the AP exam.

Here are the answers to the 2008 AP Multiple Choice AB exam:

1. B
2. D
3. C
4. B
5. A
6. D
7. D
8. C
9. B
10. D
11. C
12. B
13. D
14. A
15. D
16. B
17. C
18. D
19. A
20. D
21. B
22. C
23. D
24. B
25. C
26. D
27. A
28. B

It is important to remember that simply knowing the answers will not guarantee success on the AP exam. It is important to understand the concepts and methods behind each question in order to be successful. If you are having difficulty with a particular question or concept, it is recommended that you seek out additional resources or assistance from a teacher or tutor.

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Related Questions

What does p and p hat mean?

Answers

In statistics, p represents the true proportion p hat represents the sample proportion

p represents population that has a certain characteristic or falls into a certain category. It is a fixed, unknown value that we are trying to estimate.

p hat represents the sample proportion, which is an estimate of the true proportion based on a sample of the population. It is calculated by dividing the number of individuals in the sample with the characteristic or in the category by the total sample size.

For example, if we want to estimate the proportion of students who prefer chocolate ice cream, we could take a sample of 100 students and find that 60 of them prefer chocolate.

In this case, p hat would be 60/100 or 0.6. This is our estimate of the true proportion, p, of all students who prefer chocolate ice cream.

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An online app charges $0.99 to download a song and $7.99 membership fee. (A)Write an expression that gives the total cost in dollars to download “s” songs. (B)Then, find the cost of downloading 12 songs. Incorrect work/solutionCorrect work/solution (A) s(0.99 + 7.99) = 0.99s + 7.99s = 8.98s = (B) 8.98(12) = 8.98 x 12 = $107.76 for 12 songs Part A:Explain what this student did incorrectly.

Answers

Answer: The student correctly wrote an expression to find the total cost of downloading "s" songs. The expression is: 0.99s + 7.99. However, they made a mistake when they simplified the expression to 8.98s. The expression should have remained as 0.99s + 7.99, because the $7.99 membership fee does not change regardless of how many songs are downloaded.

In Part B, the student correctly used the expression to find the cost of downloading 12 songs. They multiplied 8.98 by 12 and got the correct answer of 107.76.

Step-by-step explanation:

The sum of a number times 2 and 29 is at least −25

Answers

Answer:

Step-by-step explanation:

Let's start by translating the given sentence into an equation:

2x + 29 ≥ -25

To solve for x, we can isolate x on one side of the inequality:

2x ≥ -25 - 29

2x ≥ -54

x ≥ -27

Therefore, the solution to the inequality is x ≥ -27.

Someone please help me with these.

Answers

The equations in the slope-intercept form are

p = 3b + 2 and p = (5/2)b + 15/2.

What is a slope?

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction

From the table and scatter plot;

(a). The line for 'Build it' passes through (1, 10) and (3, 15),

then the equation of the line is,

p = (5/2)b + 15/2

Similarly, the equation of the line-'All things home' is,

p = 3b + 2.

(b) the graphs of the lines are given in the attached image.

(c) The equation in the slope-intercept form;

p = 3b + 2 and p = (5/2)b + 15/2.

(d) When b = 65,

then p = 3(65) + 2 and p = (5/2)(65) + 15/2.

So, p = 197 and p = 170

Therefore, all the required values are given above.

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based on the t-test assuming unequal variances on the t-testunequal worksheet, is the difference in mean mpg between 4 and 8 cylinder cars statistically significant?O Yes, the means appear to be similar. O No, the ratio of the variances is not greater than 4:1. O No, the calculated t Stat value is less than the critical t value. O Yes, the calculated t

Answers

When performing a t-test assuming unequal variances, the test statistic is a t-value, which is calculated by dividing the difference between the means of the two groups by the standard error of the difference.

To see if the difference in mean mpg between 4 and 8 cylinder cars is statistically significant, compare the estimated t-value to a critical t-value based on degrees of freedom and desired level of significance. The difference is regarded statistically significant if the estimated t-value is bigger than the crucial t-value.

As a result, the right response depends on the estimated t-value, the crucial t-value, and the level of significance utilized in the test.

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a family buys a studio apartment for $140,000. they pay a down payment of $42,000.

a. Their down payment is what percent of the purchase​ price?

b. What percent of the purchase price would a ​$7,000 down payment be?

Answers

Answer:

a: 30%

b: 5%

Step-by-step explanation:

a: (42,000/140,000)*100

b: (7,000/140,000)*100

Andrea needs to line the interior sides of a gift box in the shape of a regular octagonal prism with decorative paper. If the box is 2.5
Inches deep, what is the amount of decorative paper she needs to use?
20 in²
100 in ²
12.5 in2
40 in²
5 in

Answers

Answer:

12.5 in²

Step-by-step explanation:

True or False: A simple random sample is a sample of n observations that has the same probability of being selected from the population as any other sample of n observations.

Answers

True. A simple random sample is a type of sampling method that is used to select a subset of observations from a larger population.

The key characteristic of a simple random sample is that each observation in the population has an equal probability of being selected to be part of the sample.

Mathematically, this can be expressed as follows: Let N be the population size, and let n be the sample size. Then, the probability of any specific sample of n observations being selected from the population is given by the formula:

P(Sample) = (n!/N!)/(N-n)!

where n! represents the factorial of n (n factorial), and (N-n)! represents the factorial of N-n.

This means that if we were to draw multiple simple random samples of the same size from the same population, each sample would have an equal probability of being selected.

In conclusion, a simple random sample is a method of selecting a subset of observations from a population that ensures that each observation has an equal probability of being selected, and that each sample has an equal probability of being selected.

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How to solve for r
100 000= 8000(1+ r/12000)^72
without using GDC
I don't understand how GDC works :(
I know the answer is 3.72% but I need to show how I got it

Answers

The solution for r in the equation is 428.43

How to determine the solution for r

From the question, we have the following parameters that can be used in our computation:

100000 = 8000(1+ r/12000)^72

Divide through by 8000

So, we have

12.5 = (1+ r/12000)^72

Take the 72th root of both sides

So, we have

1 + r/12000 = 1.03570211065

Subtract 1

r/12000 = 0.03570211065

So, we have

r = 428.4253278

Hence, the value of r is 428.43

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from 2005 to 2018, the annual investment in renewable energy sources in the united states increased from $11.4 billion to $46.5 billion. calculate the percent change in renewable energy investment in the us from 2005 to 2018.

Answers

To calculate the percent change in renewable energy investment in the US from 2005 to 2018, you can use the following formula:

Percent change = ((Final value - Initial value) / Initial value) * 100%

In this case, the initial value is $11.4 billion in 2005 and the final value is $46.5 billion in 2018. Plugging these values into the formula, we get:

Percent change = (($46.5 billion - $11.4 billion) / $11.4 billion) * 100%

= ($35.1 billion / $11.4 billion) * 100%

= 3.085 * 100%

= 308.5%

So, the percent change in renewable energy investment in the US from 2005 to 2018 was 308.5%, a substantial increase over the 13-year period.

Determine the intercepts of the line.
Do not round your answers.
3x + 2y = 5

Y=0
X=0

Answers

Answer:

Step-by-step explanation:

X axis intercept (y=0)

3x+2(0)=5

3x=5

x=5/3

Y axis intercept (x=0)

3(0)+2y=5

2y=5

y=5/2

so, the interception points are: (5/3,0) and (5/2,0)

I need help, been struggling for a while.

Answers

Answer:

-2

Step-by-step explanation:

5x/2 = -5

5 x/2=2 (-5)

5x= 2 (-5)

5x= -10

5x/5=-10/5

x=-10/5

x=-2

Given: (5/2)x=-5

Step 1:

Isolate the variable “x.” We are solving for “x,” so we need to isolate it, meaning we need to “undo” any operations on the left side of the equation while maintaining the equality of the equation.

Notice that 5/2 is multiplying x, hence why the term is displayed as (5/2)x. We need to cancel this 5/2 out to isolate “x.” We can do so by taking the reciprocal of 5/2.

The reciprocal of a fraction is the “flipped” version, meaning the numerator and denominator switch places with each other. The reciprocal property can be represented as: in fraction a/b, the reciprocal is b/a. So, in the fraction 5/2, the reciprocal is 2/5.

We take the reciprocal because it cancels out a fraction multiplying a variable. Here’s how:

(5/2)x•2/5 = [(5•2)/(2•5)]x

[(5•2)/(2•5)]x =(10/10)x

(10/10)x=x

So, we first multiply straight across with the two fractions, so the denominators multiply and numerators multiply. For example:

a/b•b/a=(a•b)/(b•a)

This creates a fraction that has a quotient of 1, as a number divided by the same number is always 1. For example:

(ab)/(ab)=1

This is true because ab is the same number for the numerator and denominator.

So, this is why we take the reciprocal of a fraction multiplying a variable. Because it is a flipped fraction, the numerator and denominator of the product will create a fraction that cancels out. Let’s solve the equation:

Take the reciprocal of 5/2, and multiply it on both sides to keep the equation equal.

(2/5)(5/2)x=-5(2/5)

Simplify by multiplying fractions. Multiply the numerators and denominator of each fraction straight across:

(2•5)/(5•2)x=(-5•2)/5

*Note: -5 is = to -5/1 so that it can multiply 2/5.

Simplify:

(10/10)x=-10/5

Simplify:

x=-2

Now, let’s check x=-5 in the original equation:

(5/2)(-2)=-5

(5•-2)/2=-5

(-10)/2=-5

-5=-5

So, x=-2 is the answer.







32 +2³-4 please I need this rn :)

Answers

The answer is 36. you basically add and subtract to the left and right.

32+8= 40

40-4=36

(you get the 8 because 2 x 2 x 2 = 8)

The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters.
a) Determine the proportion of flanges that exceeds 1.01 millimeters.
b) What thickness is exceeded by 90% of the flanges?c) Determine the mean and variance of flange thickness.
Mean = (millimeters)
variance = (millimeters2)

Answers

With the thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters.

a) 40% of the flanges exceeds 1.01 millimeters.

b) 1.04 millimeters is the thickness that is exceeded by 90% of the flanges.

c) The mean of flange thickness is 1 millimeters and the variance of flange thickness is 0.01 millimeters^2.

a) To determine the proportion of flanges that exceeds 1.01 millimeters, we need to find the area under the probability density function (pdf) of the thickness that is greater than 1.01 millimeters.

Let's call the random variable X representing the thickness of the flange. The pdf of X is uniform, so it has constant value over the interval [0.95, 1.05]. Therefore, the proportion of flanges that exceeds 1.01 millimeters can be found as follows:

P(X > 1.01) = (1.05 - 1.01) / (1.05 - 0.95) = (1.05 - 1.01) / 0.1 = 0.04 / 0.1 = 0.4

So, 40% of the flanges exceed 1.01 millimeters.

b) To find the thickness that is exceeded by 90% of the flanges, we need to solve for X in the following equation:

P(X > X) = 0.9

Substituting the values for the pdf, we get:

(X - 0.95) / (1.05 - 0.95) = 0.9

Solving for X, we get:

X = 0.95 + 0.9 * (1.05 - 0.95) = 0.95 + 0.9 * 0.1 = 0.95 + 0.09 = 1.04

So, 1.04 millimeters is the thickness that is exceeded by 90% of the flanges.

c) The mean of X can be calculated as follows:

Mean = (0.95 + 1.05) / 2 = 1

The variance of X can be calculated as follows:

Variance = (1.05 - 0.95)^2 / 12 = 0.01

So, the mean and variance of flange thickness are:

Mean = 1 millimeters

Variance = 0.01 millimeters^2

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Suppose each of the apples weighs about 5 ounces. Can you buy 24 apples for $9? Explain

Answers

Yes You can buy 24 apples for $0.125 per pound. This price will not available except in festival or discounts sale.

what are ounces ?

An ounce is a unit of weight or mass commonly used in the United States and other countries. It is usually abbreviated as oz. One ounce is equal to 1/16th of a pound or approximately 28.35 grams. Ounces are often used to measure small quantities of food or ingredients in recipes, as well as for measuring the weight of small objects.

According to the question:

To determine whether you can buy 24 apples for $9, we need to find the cost per apple.

If 24 apples cost $9, then the cost per apple is:

$9 / 24 apples = $0.375 per apple

Since each apple weighs about 5 ounces, there are about 3 apples per pound:

16 ounces / 5 ounces per apple ≈ 3.2 apples per pound

Therefore, the cost per pound of apples is:

$0.375 per apple / 3 apples per pound = $0.125 per pound


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e by 1
3. Mr. Bauer placed the letters in the word
BASKETBALL into a bag. What is the
probability of choosing the letter B, not
replacing it, and then choosing a vowel?

Answers

Answer: The word "BASKETBALL" has 2 B's and 3 vowels (A, E, A). The probability of choosing the letter B, not replacing it, and then choosing a vowel is:

(2/10) * (2/9) * (3/8) = 6/90 = 1/15

So, the probability of choosing the letter B, not replacing it, and then choosing a vowel is 1/15.

Step-by-step explanation:

Answer the question below

Answers

Answer:

1. Kevin has 12 pieces of paper.

2. Including Sybill and her friends, each person will get 1/8 of the 1/2 slice.

Step-by-step explanation:

1. This is because if 1 piece of paper turned divided into fourths would 4/1 or 4 “fourths” of paper. So multiply that by 3 since there is 3 pieces of paper and we are following the same steps. 3 x 4 = 12. Hence if you divide 3 pieces of paper into fourths, you will have 12 fourths.

2. Since we are splitting the 1/2 piece four (which includes sybill and her 3 friends) ways, the equation would be: 1/2 divided by 4

Divide:

1/2 divided by 4-

 1/2 : 4 = 1/2 · 1/4 = 1 · 1/2 · 4 = 1/8 

Hence, each friend and Sybill her self will receive a 1/8 piece.

9th grade math i need help in

Answers

The value of f(1) will be 45.

What is the function?

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

Given a function f(n) = 45.(4/5)ⁿ⁻¹

To calculate the value of f(1) we will substitute the value of the n by 1.

f(1) = 45.(4/5)¹⁻¹

f(1) = 45.(4/5)⁰

f(1) = 45

To calculate the value of f(n -1) we will substitute the value of the n by

n - 1.

f(n -1) = 45.(4/5)ⁿ⁻¹⁻¹

that can also be written as, from the rule of power

f(n -1) = (45.(4/5)ⁿ⁻¹)/4/5

f(n -1) = (45.(4/5)ⁿ⁻¹) * 5/4

f(n -1) = f(n) * 5/4

so,

f(n) = f(n-1) * 4/5

Therefore, the value of f(1) will be 45, and the value of f(n) = f(n-11)*4/5.

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what fraction is .1667

Answers

To convert 0.1667 to a fraction, we write it as 1667/10000, and simplify it to 1/6. Hence, the fraction of .1667 is 1/6.

To convert the decimal number 0.1667 to a fraction, we can write it as 1667/10000. This fraction can be simplified by dividing both the numerator and the denominator by their greatest common factor, which is 167.

1667 ÷ 167 = 10

10000 ÷ 167 = 60 + 40/167

So, the fraction equivalent to 0.1667 is 1667/10000, which can be simplified to 10/60 + 40/167.

10/60 can be simplified to 1/6, so the final simplified fraction is:

0.1667 = 1/6 + 40/167

Therefore, the fraction equivalent to 0.1667 is 1/6.

Converting a decimal to a fraction involves expressing a decimal number as a ratio of two integers. To convert a decimal to a fraction, the decimal is written in the form of a fraction, with the decimal value as the numerator and a power of 10 as the denominator. The resulting fraction can be simplified by finding the greatest common factor between the numerator and denominator, and then dividing both by that factor. For example, to convert 0.1667 to a fraction, we write it as 1667/10000, and simplify it to 1/6.

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Barbara buys a chandelier online for $612. If shipping and handling are an additional 28% of the price, how much shipping and handling will Barbara pay?

Answers

Barbara will therefore shell out $171.36 for the cost of shipping and handling.

Price is what word?

The amount of money, or its equivalent, for which anything being offered for sale, purchased, or otherwise transacted. A price on someone's head is a sum provided for their capture, whether they are alive or dead.

We must calculate 28% of the chandelier's original purchase price in order to calculate the value Sarah will charge for shipping and handling.

Step 1

Calculate 28% of $612

We can multiply a value by 0.28 to get 28% of it, or reduce it by 100 & then multiply the result by 28. So:

28% of $612 = 0.28 x $612 = $171.36

Step 2

Add the cost of shipping and handling to the purchase price.

Simply include the shipping & handling fee to the original price to get the chandelier's total cost with shipping and handling included:

Total cost = $612 + $171.36 = $783.36

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Gino records how much milk his family drinks each week in February. He graphs the volumes, to the nearest one fourth of a gallon, on the line plot below. What is the total volume of milk Gino's family drank on the 2 weeks where they drank the most milk?

Answers

The total volume of milk would be 1/2 gallons.

What is volume?

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.

Given that,

Volume = 1/4 gallons

The number of weeks = 2

So, the total volume =

1/4 × 2 = 1/2 gallons

Hence, the total volume of milk would be 1/2 gallons

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Write the function in vertex form for this parabola focus=(3, 2.5)

Answers

The equation of parabola in vertex form is [tex]$$\boxed{x^2 - 6x + 9 = 0}$$[/tex]

How to find the equation of parabola?

To write the equation of a parabola in vertex form, we use the following formula:

[tex]$$(x-h)^2=4p(y-k)$$[/tex]

where (h,k) is the vertex and p is the distance between the focus and the vertex.

Given that the focus of the parabola is at (3, 2.5), we can determine that the vertex of the parabola is also at (3, 2.5). Let's substitute these values into the formula:

[tex]$$(x-3)^2=4p(y-2.5)$$[/tex]

To find the value of p, we need to use the fact that the distance between the focus and vertex is p. The distance formula is:

[tex]$$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$[/tex]

Substituting the values we know:

[tex]$$\begin{aligned} d &= \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \ &= \sqrt{(3 - 3)^2 + (2.5 - 2.5)^2} \ &= 0 \end{aligned}$$[/tex]

Since d = 0, we know that p = 0 and the equation simplifies to:

[tex]$$(x-3)^2=0$$[/tex]

Expanding the left side:

[tex]$$x^2 - 6x + 9 = 0$$[/tex]

So the equation of the parabola in vertex form is:

[tex]$$\boxed{(x-3)^2=4 \cdot 0 (y-2.5)}$$[/tex]

Or

[tex]$$\boxed{x^2 - 6x + 9 = 0}$$[/tex]

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please help me on this

Answers

Answer:

[tex]\frac{2}{30}[/tex]

Step-by-step explanation:

[tex]\frac{4}{6}-\frac{3}{5} \\ \\ =\frac{2}{3}-\frac{3}{5} \\ \\ =\frac{10}{15}-\frac{9}{15} \\ \\ =\frac{1}{15} \\ \\ =\frac{2}{30}[/tex]

It would be 1/15 but thats not an option, if you need help try math  way doht  com, thats the best thing u can use for math problems

what is the distance between the points -3,-8 and 6,-8

Answers

The distance between the points -3,-8, and 6,-8 is 3 units.

What is the distance between two points?

The length of the line segment bridging two points on a plane is known as the distance between the points.

Look at the provided points.

Calculate the distance between the points using the given formula.

Given points are -3,-8 and 6,-8

Given two points lies the parallel to X-axis

The distance between the two points is

A (-3,-8) and B(6,-8) =  X₂ - X₁

6 - 3  = 3 units.

Therefore, the distance between two points -3,-8 and 6,-8 is 3 units.

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Please someone help me

Answers

Question: A line passes through the point (9, 5) and has a slope of -4/3. Write an equation in slope-intercept form for this line.

Answer:

[tex]y=-\frac{4}{3}x+17[/tex]

Given:

x = 9

y = 5

m = -4/3

Step-by-step explanation:

Slope intercept form is y = mx+b

Plug in x, y, and m to solve for b.

[tex]5=-\frac{4}{3}(9)+b[/tex]

[tex]b=5+\frac{4}{3}(9)=17[/tex]

Now that you have b, plug in m and b back into the equation

[tex]y=-\frac{4}{3}x+17[/tex]

what is c over 2 < -0.75=

Answers

The value of c lies in the interval [tex](-\infty, -1.5)[/tex]

What is inequality?

Inequality is a statement that shows the relationships the two expressions are not equal. It is defined by the symbols like <, >, ≤, ≥.

[tex]\frac{c}{2} < -0.75[/tex]

To find the value of c:

[tex]\frac{c}{2} < -0.75[/tex]

Multiply both sides by 2 we get,

[tex]2\frac{c}{2} < (-0.75)*2[/tex]

⇒c < -1.5

Therefore c<-1.5 is the solution for the given inequality.

It can also be represented in the interval form.

This is given in the interval notation [tex](-\infty, -1.5)[/tex]

Hence, the value of c lies in the interval [tex](-\infty, -1.5)[/tex]

Complete question:

What is the values that c can take when  [tex]\frac{c}{2} < (-0.75)[/tex]?

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Convert 2 pints into milliliters. Round your answer to the nearest whole number.

Answers

Answer:

To convert 2 pints into milliliters, we need to use the conversion rate that 1 pint equals 473.176 milliliters.

Therefore, we can calculate that 2 pints is equal to 946.352 milliliters. Rounded to the nearest whole number, this would be 946 milliliters.

Kayla has a coupon for $1.50 off the purchase of a toothbrush and toothpaste. The toothbrush is $1.69 and the toothpaste is $2.24. She is also getting some dental floss for $2.39, a toothbrush case for $1.65, and mouthwash for $4.83. She also has a coupon for $.80 off the mouthwash. What is the final price?

Answers

The answer is 10.5, shout out to Kayla for brushing her teeth

What is the scale factor?

Answers

Answer:A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

Step-by-step explanation:

What is the scale factor: ratio

A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object. If the scale factor is a whole number, the copy will be larger. If the scale factor is a fraction, the copy will be smaller.

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y = x -2
Slope
Intercept where is m= and b=

Answers

Answer:

Slope: 1

Y-Intercept: -2

y=x-2

Graph it by plotting a point at (0,-2) and then by going up one to the right. One up and then one to the right and repeat twice. Now you can graph this easily. Hope this helped!!

Step-by-step explanation:

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Which part of the French Revolution do you think was the worst? 1) The chaos before and after the Reign of Terror. 2) The government terrorism of the Reign of Terror. 3) The Napoleonic Wars. which of the following select statements would you use to prevent duplicate rows from being returned? Please help I cant do this Just as development could occur, so also could underdevelopment. Discuss . Please help me with this math! A student wants to launch a toy dart toward a target that hangs from a light string: As time t = 0,the dart is launched with an initial speed v at an angle 0 above the horizontal ground: At the instant the dart is launched, the string is cut such that the target begins to fall straight down. The positive horizontal direction is considered to be to the right, and the positive vertical direction is considered to be up. What is the ICD 10 code for hypo-osmolality and hyponatremia? Calculate the height to which water at 4C will rise in a capillary tube of 0.5 10^-3 m diameter. (Given g=9.8 m/s^2; angle of contact 0; surface tension= 0.072 N/m. The linear system above represents the sales of large and small popcorn servings at a movie theater for two consecutive days. 42L+ 61S=$39359L+78S=$529What is the size of the augmented matrix for this system?answer choices3 x 22 x 33 x 32 x 4 this organ of digestion is the main site of absorption. PLEASE ANSWER !!!!!!!! Who is candide by voltaire ? As malaria death rate increases, what would you expect to happen to the number of sickle-cell deaths? A free-market system cannot operate effectively and fairly without a reliable foundation in __________.a. contract lawb. government regulationc. equality of considerationd. equity A certain affects virus 0.2% of the population. A test used to detect the virus in a person is positive 88% of the time if the person has the virus (true positive) and 10% of the time if the person does not have the virus (false postive). Fill out the remainder of the following table and use it to answer the two questions below.Infected Not Infected TotalPositive Test Negative Test Total 200 99,800 100,000a) Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest tenth of a percent and do not include a percent sign.P(Infected | Positive Test)= %b) Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest tenth of a percent and do not include a percent sign.P(Not Infected | Negative Test) = % 57. You are driving through town at 12 m/s when suddenly a ball rolls out in front of you. You apply the brakes and begin decelerating at 3.5 m/s2. (a) how far do you travel before stopping? (b) When you have traveled only half the distance in part a, is your speed 6.0 m/s, greater than 6 m/s or less than 6 m/s? Support your answer with calculations. target sells24 bottles for 3 dollars and 36 for 4 dollars consider two large parallel metallic plates with uniform, opposite charge distributions, as in fig. 24.49a. suppose that the magnitude of the charge density on each plate is 2.0 105 c/m2 . the upper plate is positive and the lower negative. (a) what is the magnitude of the electric field in the region between the plates? (b) you now insert a neutral large parallel metallic plate in the space between the two charged plates, as in fig. 24.49b. suppose that this plate is 1.0 cm thick. what is the magnitude of the electric field inside this thick plate? what is the magnitude of the electric field in the remaining space above and below this thick plate? (c) what is the charge density on the upper surface of the thick plate? the lower surface? Aneesha travels at a rate of 50 miles per hour. Morris is traveling 3 feet per second less than Aneesha. Which is the most accurate rate of speed Morris is traveling?1 mile = 5,280 feet45 miles per hour46 miles per hour47 miles per hour48 miles per hour A pilot had given her 15-year-old son informal piloting lessons, including practice on takeoffs and landings on their farm's landing strip. Confident in her son's ability, she agreed to the son's request to fly by himself to his uncle's ranch, which also had a landing strip, to attend his cousin's high school graduation party. The son took off safely, but about five minutes later the aircraft's engine stopped running; the plane stalled and then crashed, killing the son. It was later determined that the engine ran out of fuel because a burst fuel line had been overlooked during a routine maintenance check of the pilot's plane the week before the crash. An airplane mechanic at the small private airport where the pilot went for fuel and maintenance had performed the maintenance check.The pilot brought a wrongful death action for the loss of her son against the mechanic's employer, the owner of the private airport. At trial, the owner of the airport raises a contributory negligence defense.Whose negligence, if found by the jury to be a contributing factor in causing the accident, will reduce the pilot's recovery?A) The pilot in permitting her son to fly the airplane.B) The son in his handling of the plane after the engine quit.C) Both the pilot in permitting her son to fly and the son in handling the plane.D) Either the pilot in permitting her son to fly or the son in handling the plane.