Which of these is an example of due process?

a search without good reason

a prejudiced jury

a cruel punishment

a fair trial

Answer:

4739 CDs

Step-by-step explanation:

Given the function that models the rate at which the disc is sold expressed as;

R(t)=20,000e^−0.12t

t is the number of weeks since the CD was first released

We are to look for the number of CDs that are expected to be sold during the first 12 weeks after the release. To do this, you will simply substitute t = 12 into the modeled function and get R(12) as shown;

R(t)=20,000e^−0.12t

R(12)=20,000e^−0.12(12)

R(12)=20,000e^−1.44

R(12)=20,000(0.2369)

R(12) = 4738.56

Hence the total number of CDs expected to be sold to nearest thousand is 4739 CDs

Answer:

127,000

Step-by-step explanation:

you take the integral from 0 to 12 of R(t)

Answer:

100%

Step-by-step explanation:

If all 27 votes for hunger relief, that would be 100% or all of them.

Answer:

-2/9

Step-by-step explanation:

The density of an object is 10490kg/m^3.

Density is like rate. It tells you how much of a thing is available for each unit other thing which contains the first thing.

Density = (Total amount available)/(total space which contains that amount)

Given;

The mass of object= 73,430 kilograms

The volume of object= 7m^3

Now

D=mass/volume

D=73430/7

D=10490

Therefore, the density will be 10490kg/m^3.

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Answer:

346.4 cm^2

Step-by-step explanation:

area = base * height/2

We can use UW as the base.

U + V + W = 180

24 + V + 36 = 180

V = 120

\( \dfrac{\sin W}{UV} = \dfrac{\sin V}{UW} \)

\( \dfrac{\sin 36^\circ}{34} = \dfrac{\sin 120^\circ}{UW} \)

\( UW = \dfrac{34\sin 120^\circ}{\sin 36^\circ} \)

\( UW = 50.1 \)

Now drop a perpendicular from V to UW to be the height, h.

\(\sin 24^\circ = \dfrac{h}{UV}\)

\( \sin 24^\circ = \dfrac{h}{34} \)

\( h = 34 \sin 24^\circ \)

\( h = 13.8 \)

area = base * height/2

area = UW * h/2

area = 50.1 cm * 13.8 cm/2

area = 346.4 cm^2

There are 21 different book choice combinations possible for Helen to select 2 books from a list of 7 books.

To calculate the number of different book choice combinations, we can use the formula for combinations, which is given by C(n, r) = n! / (r!(n-r)!), where n is the total number of items and r is the number of items to be selected. In this case, Helen has 7 books to choose from and she plans on reading 2 books. So, we can substitute n = 7 and r = 2 into the formula.

C(7, 2) = 7! / (2!(7-2)!) = (7 * 6 * 5!) / (2 * 1 * 5!) = (7 * 6) / (2 * 1) = 42 / 2 = 21.

Therefore, there are 21 different book choice combinations possible for Helen. She can select any 2 books out of the 7 books on her reading list in 21 different ways.

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a) The number of ways to form a committee of 6 people from the department is 177,100.

b) The number of ways to form a committee of 6 people with an equal number of men and women is 54,600.

c) The number of ways to form a committee of 6 people with more women than men is 91,455.

a) To form a committee of 6 people from the department, we can choose 6 individuals from a total of 25 people (10 men + 15 women). The order in which the committee members are chosen does not matter, and we are not concerned with any specific positions within the committee. Therefore, we can use the concept of combinations.

The number of ways to choose 6 people from a group of 25 is given by the combination formula:

C(25, 6) = 25! / (6! * (25 - 6)!) = 25! / (6! * 19!) = 177,100

Therefore, there are 177,100 ways to form a committee of 6 people from the department.

b) In this case, we need to choose an equal number of men and women for the committee. We can select 3 men from the available 10 men and 3 women from the available 15 women. Again, the order of selection does not matter.

The number of ways to choose 3 men from 10 is given by the combination formula:

C(10, 3) = 10! / (3! * (10 - 3)!) = 10! / (3! * 7!) = 120

Similarly, the number of ways to choose 3 women from 15 is:

C(15, 3) = 15! / (3! * (15 - 3)!) = 15! / (3! * 12!) = 455

To find the total number of ways to form a committee with an equal number of men and women, we multiply these two combinations:

Total = C(10, 3) * C(15, 3) = 120 * 455 = 54,600

Therefore, there are 54,600 ways to form a committee of 6 people with an equal number of men and women.

c) In this case, we need to form a committee with more women than men. We can choose 1 or 2 men from the 10 available men and select the remaining 6 - (1 or 2) = 5 or 4 women from the 15 available women.

For 1 man and 5 women:

Number of ways to choose 1 man from 10: C(10, 1) = 10

Number of ways to choose 5 women from 15: C(15, 5) = 3,003

For 2 men and 4 women:

Number of ways to choose 2 men from 10: C(10, 2) = 45

Number of ways to choose 4 women from 15: C(15, 4) = 1,365

The total number of ways to form a committee with more women than men is the sum of these two cases:

Total = (Number of ways for 1 man and 5 women) + (Number of ways for 2 men and 4 women)

     = 10 * 3,003 + 45 * 1,365

     = 30,030 + 61,425

     = 91,455

Therefore, there are 91,455 ways to form a committee of 6 people with more women than men.

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The type of function that fits the given description is D. Exponential decay.

In an arithmetic sequence, the difference between consecutive terms remains constant. If the y-values of a function form an arithmetic sequence that decreases in value, it means that the difference between consecutive terms is negative.
Exponential decay functions exhibit a constant ratio between consecutive terms, resulting in a decreasing sequence. As the x-values increase, the y-values decrease at a consistent rate. This is represented by the formula y = ab^x, where b is a constant between 0 and 1.
In contrast, linear functions have a constant difference between consecutive terms, resulting in an arithmetic sequence. However, since the y-values are decreasing, the function cannot be linear.
Exponential growth functions, on the other hand, have a constant ratio between consecutive terms, but they result in an increasing sequence. The y-values of an exponential growth function increase as the x-values increase.

Therefore, based on the given information, the most appropriate type of function is D. Exponential decay.

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The margin of error for the confidence interval is approximately 0.014, indicating that the estimate of the proportion of dissatisfied customers could be off by approximately plus or minus 0.014. This means that we can be 95% confident that the true proportion of dissatisfied customers falls within the range of the estimated proportion ± 0.014.

(a) To find the sample size needed to achieve a margin of error of about 0.015 with a 95% confidence level, we can use the formula for sample size calculation for proportions:

n = (Z^2 * p * (1-p)) / E^2

Where:

n = sample size

Z = critical value (corresponding to the desired confidence level)

p = estimated proportion of the population

E = margin of error

In this case, the estimated proportion of dissatisfied customers is 0.17, and the desired margin of error is 0.015. Since we want a 95% confidence level, the critical value can be obtained from a standard normal distribution table. The critical value for a 95% confidence level is approximately 1.96.

Plugging these values into the formula, we have:

n = (1.96^2 * 0.17 * (1-0.17)) / 0.015^2

n ≈ 1901.63

Therefore, the sample size needed is approximately 1902.

(b) If 25% of the sample say they are not satisfied, we can calculate the margin of error using the following formula:

MoE = Z * sqrt((p * (1-p)) / n)

Where:

MoE = margin of error

Z = critical value (corresponding to the desired confidence level)

p = proportion of the sample

n = sample size

Using the same critical value of 1.96 for a 95% confidence level and plugging in the values:

MoE = 1.96 * sqrt((0.25 * (1-0.25)) / 1902)

MoE ≈ 0.014

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Answer:

1,3,5,9,15,45

Step-by-step explanation:

All factors of 45 to get a whole number

Answer:

90, 135, 180, 225, 270... ∞

Step-by-step explanation:

All multiples of 45 are divisible by n

Hope this helps and feel free to mark this as brainliest :)

Answer:

Step-by-step explanation:

The expression 8 1/2 - (-3.68) + (-2 5/8) can be simplified as follows:

8 1/2 = 8.5

-(-3.68) = 3.68 (double negative becomes positive)

-2 5/8 = -2.625 (convert mixed number to decimal)

Therefore, the expression becomes:

8.5 + 3.68 - 2.625 = 9.555

So the answer is 9.555.

The function that is not a function for all values of x is f(x) = -x13.

A function is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output. For instance, y = x^2 is a function since every x is related to exactly one y.The function that is not a function for all values of x is f(x) = -x13.

The function f(x) = -x13 is not a function for all values of x because the function does not exist for negative values of x raised to an odd exponent. This is because the result of negative values raised to odd exponents will always be a negative value, which means the function would not be well-defined for negative values. However, the function does exist for all other values of x.

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Russ James' commission for selling $100,000 worth of chemicals last month is $5,000.

What is the percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

Russ James is paid a commission rate of 5% on all sales. If he sold $100,000 worth of chemicals last month, his commission can be calculated by multiplying the sales amount by the commission rate:

Commission = Sales Amount * Commission Rate

Commission = $100,000 * 0.05

Commission = $5,000

Therefore, Russ James' commission for selling $100,000 worth of chemicals last month is $5,000.

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Answer:

This is a no solution (if you're asking to solve this equation). It will lead to:

20 = 12

Which is NOT equal.

The answer is thus No Solution.

Step-by-step explanation:

4(x + 5) = 4(3 + x) ~ Distribute it

4x + 20 = 12 + 4x ~ Subtract the x

20 = 12 ~ Remaining

20 does NOT equal 12.

The answer is No Solution.

Answer:

Step-by-step explanation:

The statements that are true regarding the graph of this linear function are:

The y-intercept of the line, -25, is the amount of money she starts with, since she owes her sister $25 and has worked 0 hours.

The slope of the line, 25, is the amount of money she makes per hour of work.

The statement:

The slope of the line, 9.75, is the amount of money she starts with having worked 0 hours. is not true.

And the statement:

The y-intercept of the line, 0, is the amount of money she starts with, since she's worked 0 hours. is not true because the y-intercept is not 0, it's -25, which represents the amount of money she owes to her sister.

Answer: To check if the rates form a proportion, we need to calculate the rate (sit-ups per minute) for both Eric and John.

Eric's rate: 70 sit-ups / 2 minutes = 35 sit-ups per minute

John's rate: 108 sit-ups / 3 minutes = 36 sit-ups per minute

Now we can set up the proportion:

35/1 = 36/1

The rates do not form a proportion since they are not equal.

Step-by-step explanation:

Tertiary consumers are one level above primary producers in a food chain. In a food chain, the transfer of energy and nutrients occurs from one trophic level to another.

The trophic levels are categorized into producers, primary consumers, secondary consumers, and tertiary consumers.

Primary producers, such as plants or algae, are the first trophic level in a food chain. They convert energy from sunlight into organic matter through photosynthesis. Primary consumers, also known as herbivores, are the organisms that feed directly on primary producers.

Secondary consumers are the next trophic level and they feed on primary consumers. They are usually carnivores or omnivores that consume herbivores.

Finally, tertiary consumers occupy the highest trophic level in a food chain. They are the top predators that feed on secondary consumers. These can include large carnivores or even apex predators.

Therefore, tertiary consumers are one level above primary producers in the food chain. They represent the organisms that obtain energy by consuming other organisms higher up in the trophic hierarchy.

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The three properties of parallel lines are transitive property of parallel lines, symmetric properties of parallel lines and properties cut by transversal.

Properties of parallel lines when cut by a transversal

Two lines when cut by a transversal line are parallel if the corresponding angles so formed are equal. Generally, the corresponding angles are in relative positions and lie along the same side of the transversal.

Two lines cut by a transversal line are said to be parallel if the alternate interior angles so formed are equal. In general, the pairs of the alternate interior are found in the inner side but lie on the opposite sides of the transversal.

Two lines cut by a transversal line are said to be parallell if the alternate exterior angles so formed are equal. In general, the pairs of alternate exterior angles are found on the outer side but lie opposite each other.

The above mentioned are 3 properties of parallel lines.

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Answer:

  yes

Step-by-step explanation:

You want a graph of P = 125 +50W.

The given equation is in slope-intercept form. The independent variable is W, and the dependent variable is P.

Usually, the independent variable is graphed on the horizontal axis, which you have done.

The dependent variable is graphed on the vertical axis, which you have done.

The axes are correctly labeled and graduated.

The "y-intercept" (P value) when the independent variable is zero is the constant in the equation, 125. You have correctly shown that on the graph.

The slope of the line is the coefficient of the independent variable (W) in the equation. You have correctly shown that P increases by 50 when W increases by 1.

Yes, you properly graphed the equation.

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One week exercise 3 hours at school and another 2/3 of an hour at home

1/5 of the students total exercise came from basketball

Excersise total = 3 hours + 2/3 hour = 3 (60) minutes + (2/3)(60) minutes = 180 + 40 = 220 minutes

Of this total, 1/5 came from basketball:

(1/5)(220) minutes = 44 minutes

Answer:

The students spend 44 minutes per week playing basketball

Also, using fractions, you can write:

In this case, you would say:

The students spend 11/15 of an hour per week playing basketball

Answer:

15680

Step-by-step explanation:

Cost of 1 shirt: 1120

Cost of 10 shirts: 11200

Add 40% to the cost of 10 shirts:

40% + 100% = 140% = 1.4

1.4 * $11200 = 15680

Answer: 15680

Answer:  The depth was 42 feet below see level after  6 minutes

Step-by-step explanation:

If m represents the minutes then input 6 for m into the expression and solve.

-120 + 13(6)

-120 + 78  = -42

1. The average time it takes a customer from when they arrive at the truck until they receive their taco is 141.67 seconds.

2. The average utilization of the truck 141.67 seconds.

3. On average, there is 1 person waiting in line.

4. In order to achieve a delay probability of under 10%, a minimum of 1 server is required.

1 The arrival rate is 1 customer every 2 minutes, which is equivalent to 0.5 customers per minute. The service rate is 1 customer per 50 seconds, which is equivalent to 1.2 customers per minute (since there are 60 seconds in a minute).

2 Average Number of Customers = (0.5 / 1.2) + 1 = 1.4167.

Average Waiting Time = 1.4167 * (50 + 50)

= 141.67 seconds.

3 The average utilization of the truck is given by the formula: Utilization = Arrival Rate / Service Rate.

Utilization = 0.5 / 1.2

= 0.4167 (or 41.67%).

The average number of people waiting in line can be calculated using the formula: Average Number of Customers - Average Utilization.

Average Number of Customers - Average Utilization = 1.4167 - 0.4167

= 1.

4 Given that the desired delay probability is 10% (or 0.1), we can rearrange the formula to solve for the utilization:

Utilization = Delay Probability / (1 + Delay Probability).

=

Utilization = 0.1 / (1 + 0.1) = 0.0909 (or 9.09%).

The utilization we calculated represents the maximum utilization to achieve a delay probability of 10%. In conclusion, to achieve a delay probability of under 10%, a minimum of 1 server is required.

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Answer:

176.71 in²

Step-by-step explanation:

area = πr²

r is half the diameter so r=15/2=7.5

3.1415 · 7.5² ≈ 176.71 in²

Answer:

-7q and 9q, 2 and 6

Step-by-step explanation:

they are like each other

Answer: Terms that have identical variable parts (same variable(s) and same exponent(s)). So in this case the like terms are -7q and 9q AND 2 and 6 are like terms *REMEMBER: constant (which are numbers with NO variables can also be like terms)

but to solve this:

first group the like terms so:

(-7q+9q) that gives us 2q

(2+6) that gives us 8

*In your FINAL answer ALWAYS put the number(s) with variables first so the final answer is 2q+8

Answer:

my bad yall, I seen the comments!! it's 12

Step-by-step explanation:

I'm so sorry!!

Answer:

Okay, i'm not being jugy but it it is super easy... it is 12 only because 1x12=12, 2x12=24, 3x12=36, and 4x12=48!!

it is most definately 12 DON'T WORRY

Answer:

Do the area divided by the base on a calculator for the answer

Answer:

Height of the window= 25 inches

Step-by-step explanation:

Area of a parallelogram : base * height (of the side taken as base)

so height = area/base =  356.25/14.25 = 25 inches

Answer:

  102,476

Step-by-step explanation:

If a population grows linearly from 55556 in 2000 to 72760 in 2011, you want the predicted value in 2030 assuming growth continues to be linear.

The change in population is proportional to the change in years:

  (72760 -55556)/(2011 -2000) = (p -55556)/(2030 -2000)

  p = 30(17204)/11 +55556 . . . . . . solve for p

  p = 46920 +55556 = 102,476 . . . . . . do the arithmetic

The population in 2030 will be $102,476.

Answer: The Union of two sets will be all elements without duplicate elements. So G U H ={apple , orange , banana , grape , duruan ,pear , strawberry}

Step-by-step explanation:

"U" is the union of two sets. The no of values in Union of two sets G , H

is G U H = G + H - (G ∩ H)

To learn more about sets notation,

Answer:

80%

Step-by-step explanation:

96.3 - 53.5 = 42.8

42.8 / 53.5 = 0.8

0.8 × 100 = 80%