a car is traveling with a speed of 18.0 m/s along a straight horizontal road. the wheels have a radius of 0.260 m. if the car speeds up with a linear acceleration of 1.50 m/s2 for 6.70 s, find the angular displacement of each wheel during this period.

Note that where the above conditions are given, the theoretical probability, P(green), is 25%, and the experimental probability is 17.5%. (Option C)

The theoretical probability of pulling a green marble form th back =

Number of green marbles/total number of marbles in the bag

= 10/40 = 25%

The experimental probablity is:

frequency of green marbles pulled / total number of trials

= 7/40 = 17.5

Thus, the theoretical probability is 25% while the experimental probability   is 17.5% (Option C)

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Approximately a rate of 14.4% would be required to turn $500 into $2,000 in 10 years

To arrive at this estimate, we can use the rule of 72, which states that to determine the number of years required to double your investment at a certain rate of return, you can divide 72 by that rate. In this case, we want to quadruple our investment, so we need to divide 72 by 4, which equals 18.

Next, we can divide the number of years by the amount of interest earned to arrive at an estimated rate. In this case, we can divide 10 years by 18, which equals approximately 0.56. To convert this to a percentage, we multiply by 100, which gives us an estimate of 56%.

However, we need to subtract the rate of inflation, which is typically around 2-3%, to arrive at a more realistic estimate. This gives us a final estimate of approximately 14.4%.

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Answer:

problem 2

Step-by-step explanation:

The feeding time constraint for cats can be written symbolically as:

12 minutes/day * number of cats <= 8 hours/day

The feeding time constraint for dogs can be written symbolically as:

20 minutes/day * number of dogs <= 8 hours/day

The pampering time constraint for cats can be written symbolically as:

16 minutes/day * number of cats <= 8 hours/day

The pampering time constraint for dogs can be written symbolically as:

20 minutes/day * number of dogs <= 8 hours/day

To find all points with a specific x-coordinate, you need to have the equation of the curve or the data points representing the graph. If you have an equation, you can substitute the desired x-coordinate into the equation and solve for the corresponding y-coordinate.

If you have data points, you can look for the points that have the specified x-coordinate.

For example, let's say you have the equation of a line: y = 2x + 3. If you want to find all points with an x-coordinate of 5, you can substitute x = 5 into the equation to find y. In this case, y = 2(5) + 3 = 13. So the point (5, 13) has an x-coordinate of 5.

to find points with a specific x-coordinate, you need the equation of the curve or the data points. You can substitute the desired x-coordinate into the equation or look for the points that have the specified x-coordinate in the given data.

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Answer:

look at the question another way or from another angle

Step-by-step explanation:

The table with the scale measurements is given by the image shown at the end of the answer.

The measurements are obtained applying the proportion given for each table.

The symbols are given as follows:

For the first table, we have that every inch on the table represents one feet in real life, hence:

For the second table, we have that every inch on the paper represents two feet in real life, hence the measurements are given as follows:

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Answer:

B, 606,900

Step-by-step explanation:

First you'll need to calculate the percentage growth after 32(2030 - 1998) years. to do this you'll need to find 1.11^32 or 28.205, 1.11 being the percentage growth per year and 32 being the number of years passed. then 21,517*28.205 = 606,899.8 which can be rounded to 606,900.

Answer:

69.29 deg

Step-by-step explanation:

Recall that tan(x) = opposite/adjacent. This is helpful because we know the opposite and adjacent leg from the angle x! This gives us tan(x) = 43/18, so we can solve for x by taking tan^-1 of both sides, giving x = tan^-1(43/18), or 67.29 degrees.

Answer:

17.2

Step-by-step explanation:

Let's solve your equation step-by-step.

8.7x−1.9x=116.96

Step 1: Simplify both sides of the equation.

8.7x−1.9x=116.96

8.7x +−1.9x=116.96

(8.7x +-1.9x)=116.96 (Combine Like Terms)

6.8x=116.96

6.8x=116.96

Step 2: Divide both sides by 6.8.

6.8x ÷ 6.8 = 116.96 ÷ 6.8

x=17.2

Answer:

x=17.2

To find two divergent series, summation from n equals 1 to infinity of a_n and summation from n equals 1 to infinity of b_n, such that their product converges, we can consider the following series:

1. Summation from n equals 1 to infinity of a_n = ∑(1/n)
2. Summation from n equals 1 to infinity of b_n = ∑n

Solution:

1. The first series, ∑(1/n), is known as the harmonic series. It is a famous example of a divergent series, meaning that its sum approaches infinity as n approaches infinity.

2. The second series, ∑n, is an arithmetic series where the terms increase linearly. This series is also divergent, as the sum increases without bound as n approaches infinity.

Now, we need to verify that the product of these series converges:

3. Summation from n equals 1 to infinity of (a_n * b_n) = ∑((1/n) * n)

4. Simplifying the expression, we get ∑(1), which is a constant series with all terms equal to 1.

5. The sum of the constant series converges, as it approaches a finite value when n approaches infinity.

In conclusion, the two divergent series summation from n equals 1 to infinity of a_n = ∑(1/n) and

summation from n equals 1 to infinity of b_n = ∑n, have a product that converges, as their product ∑((1/n) * n) simplifies to a constant series ∑(1), which has a finite sum.

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Answer:

8 plates

Step-by-step explanation:

The reason for this is because 15 and 9 are both divisible by 3. 15 divided by 3 is 5 and 9 divided by 3 is 3. 5+3= 8. Therefore, you will need 8 plates.

(A) the lake activity with a central angle of 39.6" is Wakeboarding.

(B) 2,100 people in attendance would prefer

ketchup on a hot dog.

How to find out which lake activity has a central angle ?

To find out which lake activity has a central angle of 39.6°, we need to calculate the total angle of the circle graph,

The total number of campers is 15+11+7+13+54= 100.

We need to use the following formula:

Central angle = (Number of campers for the activity/Total number of campers) × 360°

Using this formula, calculate the central angles for each activity:

Kayaking: (15/100) × 360° = 54°

Windsurfing: (7/100) × 360° 25.2"

Waterskiing: (13/100) × 360° 46.8"

Wakeboarding: (11/100) × 360° 39.6" = Paddleboarding: (54/100) × 360° = 194.4" Therefore, the lake activity with a central angle of 39.6" is Wakeboarding.

(b) To answer this question, we can use the concept of proportions. We know that out of 150 people surveyed, 63 prefer ketchup on their hot dog. We can set up a proportion:

63/150=x/5000

where x is the number of people in attendance who prefer ketchup on their hot dog. We can solve for x by cross-multiplying:

63 5000 = 150 × x

x= (63 5000)/150 2,100 =

Therefore, based on the data in this sample, we can estimate that 2,100 people in attendance would prefer ketchup on a hot dog.

The answer is 2,100.

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Answer:x = -1.5

Step-by-step explanation:

Simplifying

7x + -9x = 3

Combine like terms: 7x + -9x = -2x

-2x = 3

Solving

-2x = 3

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '-2'.

x = -1.5

Simplifying

x = -1.5

Answer:

7 . 8.9

8 . 19.5

9 . 9.9

10 .12.6

Step-by-step explanation:

7.x=11tan39

8.x=28cos46

9.x=8tan51

10.x=31sin24

side opposite of mentioned angle is opposite

longest side in triangle is hypotenuse

the side subtended by the angle is the adjacent

The number of subjects that Paige would study D. 2 subjects.

It should be noted that Paige would study for one hour. She spends 1/2 an hour, or 30 minutes, on a subject.

An hour is 60 minutes. If Paige studied 2 subjects, then she would of studied for 60 minutes.

30 + 30 = 60

So, if Paige spends 1/2 hour on Spanish, she would study 2 subjects to reach an hour.

Therefore, the correct option is D.

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Complete question

Paige spends 1 hour on her homework. She spends equal amounts of time on all subjects. If Paige spends 1/2 hour on Spanish, how many subjects does she study?

3 subjects

1 subject

4 subjects

2 subjects

Answer:

293.04

Step-by-step explanation:

The one above me is worng sorry i just took the test :p

The ans is 293.04

Thank you have a wonderful day ahead...

Answer:

7

Step-by-step explanation:

AB = 3x-2

Let x=3

AB = 3*3 -2

    = 9-2

    =7

Answer:

\(\huge\boxed{\sf x = -100}\)

Step-by-step explanation:

\(\displaystyle -\frac{x}{5} -8=12\\\\Add \ 8 \ to \ both \ sides\\\\-\frac{x}{5} = 12+ 8\\\\-\frac{x}{5} = 20\\\\Multiply \ both\ sides \ by \ 5\\\\-x = 20 \times 5\\\\-x = 100\\\\Multiply\ both \ sides \ by\ -1\\\\x = -100\\\\\rule[225]{225}{2}\)

Concept: "Logos" has had a significant impact on Western thought. Importance: its recognition of the interplay between rational thought and empirical observation Acknowledgement: role of language and discourse in shaping our understanding of the world.

Topic: The concept of "Logos" in Greek philosophy and its significance in modern scientific fields.

The concept of "Logos" is central to Greek philosophy and has been interpreted in various ways throughout history. In its most basic sense, "Logos" refers to rational thought, speech, and language. It is often associated with the divine or the cosmic principle that governs the universe, as well as human reasoning and discourse.

The significance of "Logos" can be seen in its influence on modern scientific fields, including biology, psychology, and technology, among others. The term "biology," for example, comes from the Greek words "bios" (life) and "logos" (word or reason), reflecting the idea that the study of life requires both empirical observation and rational analysis.

Similarly, the field of psychology, which deals with the workings of the human mind and behavior, derives its name from the Greek word "psyche," meaning "soul," and "logos," meaning "reason." This reflects the idea that the study of the mind and behavior requires both empirical research and theoretical analysis.

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Translation: The Greek word "logos" is typically interpreted as the pinnacle of Western rationalist civilization, having been established by the first schools of classical philosophy. In reality, he is responsible for the names of many scientific fields, including biology, philology, psychology, technology, and others. Since it requires both mind and action, internal and external, the mental notion and pronouncing the word, the concept of "logos" does not have such an abstract meaning. Topic:____________________________________________________ Principal Concept:

Answer:

A)Deductive

B)Deductive

C)Inductive

D) Deductive

Step-by-step explanation:

Answer:

she spent $43.75

Step-by-step explanation:

you basically need 35% of $125

cool trick with this is "of" always means multiplication

35% x 125= 43.75

she spent $43.75

Shonda spent the amount of $43.75 on the concert ticket.

The percentage is defined as a ratio expressed as a fraction of 100.

To find out how much Shonda spent on the concert ticket, we can use the following proportion:

(35%) × 125 = x/1

where x is the amount of money spent on the concert ticket, and we know that 35/100 (or 0.35) is 35% of 125.

Convert percent into decimal form and solve for x:

(0.35) × 125 = x

Apply the multiplication operation, and we get

x = 43.475

Therefore, she spent $43.75 on the concert ticket.

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The IF Function based formula that can be entered into cell N2 that will return 2 if true, and 1 if false is =IF(M2 >=4, 2, 1).

How is the IF function used?

An IF function allows us to be able to sort through data by analyzing data to find out if it conforms to a certain characteristic that we are looking for.

If the data corresponds, the IF function will return a value that means True, but if it doesn't, the value returned would be false.

After typing in the IF function, the next thing to do is specify the cell where the data you want to analyze is. In this case that data is in cell M2. You immediately follow this up by the parameter being compared.

In this case, we want to know if the figure in cell M2 is greater or equal to 4 so the next entry is M2>=

The next entry is the return if the comparison is true. In this case, the number for true is 2 and the one for false is 1. The full formula becomes:

=IF(M2 >=4, 2, 1).

In conclusion, the function is =IF(M2 >=4, 2, 1).

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Answer:

the correct answer is y = 2x+1

The median of the first data set is 0.76 while the interquartile range is 0.155. The median of the second data set is 0.735 while the interquartile range is 0.195

We would have to arrange the values in ascending order

0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

The mid values are 0.75 and 0.77

= 0.75 + 0.77 / 2

= 0.76

The interquartile range

0. 81 - 0.655 = 0.155

For the Miami heat

We would have to arrange the dataset as well

0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

0.72 + 0. 75 / 2

= 1.47 / 2

= 0.735

Interquartile range (xU-xL)

= 0.815 - 0.62

The interquartile range is 0.195

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The formula relating the monetary multiplier and the reserve ratio shows that as the monetary multiplier increases, the reserve ratio decreases. If the monetary multiplier is 6, the reserve ratio must be 0.167.

To determine the reserve ratio given the monetary multiplier, we can use the formula:

Monetary Multiplier = 1 / Reserve Ratio

Given that the monetary multiplier is 6, we can substitute this value into the formula:

6 = 1 / Reserve Ratio

To isolate the reserve ratio, we can take the reciprocal of both sides of the equation:

1 / 6 = 1 / (1 / Reserve Ratio)

1 / 6 = Reserve Ratio

Therefore, the reserve ratio must be 1/6 or approximately 0.167.

Among the given options, b) 0.167 represents the correct answer.

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Answer:

x=7

Step-by-step explanation:

since the ray bisects we know <CAT and <TAR are equal

so we can set up the equation like this: <CAT + <CAT = <CAR

(5x)+(5x)=(9x+7)

calculate equation and you'll get x=7