Find the dimensions of the cylinder of largest volume that will fit inside a right circular cone of radius 3 in. and height 5 in. Assume that the axis of the cylinder coincides with the axis of the cone.

Answer:

I believe its A

Step-by-step explanation:

Sorry if im wrong

The number of weeks in which Sarah and Asher have saved the same amount of money is 8 weeks.

The number of weeks in which Sarah and Asher have saved the same amount of money is calculated by setting the two equations equal to each other as follows;

12x + 6 = 9x + 30

Simplify the equation by collecting similar terms as follows;

12x - 9x  = 30 - 6

3x = 24

x = 24/3

x = 8

Thus, the number of weeks in which Sarah and Asher have saved the same amount of money is 8 weeks.

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Answer:

Y is greater than or equal to 1/2x + 20

Y is less than or equal to 2/3x + 80

X is greater than or equal to 1200

X is less than or equal to 1850

Step-by-step explanation:

trust

Answer:

cool, but what is the question?

Answer:

yes

Step-by-step explanation:

They both have a 25 degree angle, and the second one is just the first one but put on the page at a different angle

Answer:

Patricia's account balance after thirteen years is $867.15.

Step-by-step explanation:

It is given that,

Principal on deposited amount is $612.40

Rate is 3.2%

We need to find Patricia's account balance after thirteen years, t = 13 years

This problem is based on the concept of simple interest. Interest is given by :

\(I=PRt\\\\I=612.4\times \dfrac{3.2}{100}\times 13\\\\I=\$254.75\)

Net amount = $612.40 + $254.75=$867.15

The correct answer is b. understate the degree of concentration.

When relevant markets are localized, using national data to establish concentration ratios tends to underestimate the degree of concentration. This is because national data might not accurately reflect the concentration of market power within specific localized markets. Concentration ratios measure the market share of a few large firms in an industry, and when relying on national data, it may not capture the specific market dynamics and competition at the local level.

In localized markets, there may be regional or local competitors that have significant market share and influence but are not adequately represented in national data. By only considering national data, the concentration ratios may not capture the true extent of market concentration within specific localized markets. Therefore, the use of national data tends to underestimate the degree of concentration in such cases. To obtain a more accurate assessment of market concentration in localized markets, it is important to gather and analyze data specific to those markets. This localized data can provide a better understanding of the competitive landscape and the concentration of market power within the relevant markets.

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The pair of 1st line is vertical opposite angle and 2nd one is adjacent angles.

What is vertical opposite angle ?

When 2 lines meet one another, then the other angles, shaped thanks to intersection ar known as vertical angles or vertically opposite angles. A try of vertically opposite angles ar continuously adequate to one another. Also, a angle and its adjacent angle are supplementary angles, i.e., they add up to a hundred and eighty degrees.

Main body:

1st pair of line intersect each other , so ∠1 = ∠2 by using vertical opposite angle.

2nd pair of line also intersect each other , so ∠3 ,∠4 are adjacent angles.

Hence ,pair of 1st line is vertical opposite angle and 2nd one is adjacent angles.

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Answer:

The correct option is;

d(t) = 6·cos(π/3·t) + 28

Step-by-step explanation:

The general form of a cosine function is given as follows;

y = A·cos(B·x - C) + D

Where;

A = The amplitude = The distance from the peak to the midline = 1/2×(Maximum - minimum)

The amplitude = 1/2 × (34 - 22) = 6 inches

B = 2·π/P = 2·π/6 = π/3

P = The period = 6 seconds

C/B = The phase shift

D = The midline = Minimum  + Amplitude = 22 + 6 = 28 inches

x = The independent variable

Therefore, to model the function of the wave can be given as follows;

d(t) = 6·cos(π/3·t) + 28

A function that models the distance from the bottom of the pool to the ball, as it moves  from wave crest to wave crest, as a function of t in seconds is \(d(t)= 6cos(\frac{\pi}{3} t) + 28\)

The standard wave equation is expressed as;

\(y=Acos(Bx-C)+D\) where:

A is the amplitude

Get the amplitude:

\(A=\frac{1}{2}(34-22)\\A=\frac{1}{2}(12)\\A= 6\\\)

If the wave occurs every 3 seconds, then:

\(B=\frac{2 \pi}{k} \\B=\frac{2\pi }{6}\\B=\frac{\pi}{3}\)

Get the midline D

\(D=minimum + amplitude\\D=22+6\\D = 28\)

Substitute the given parameters into the equation above to have;

\(y= 6cos(\frac{\pi}{3} t) + 28\)

Hence a function that models the distance from the bottom of the pool to the ball, as it moves  from wave crest to wave crest, as a function of t in seconds is \(d(t)= 6cos(\frac{\pi}{3} t) + 28\)

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Answer:

20x^4

Step-by-step explanation:

The length of Boston market's shadow is 31.82 ft.

Sam, who is 5.5ft tall, is standing near Boston market, which is 17.5ft tall. He notices that his shadow is 10ft long. To find out the length of Boston market's shadow, we can use the following proportion:

height of Sam / length of shadow of Sam = height of Boston market / length of shadow of Boston market

Let the length of Boston market's shadow be x ft. Substituting the given values, we have:

5.5 / 10 = 17.5 / x

Solving for x, we get:

x = (17.5 × 10) / 5.5

x = 31.82

Therefore, the length of Boston market's shadow is 31.82 ft.

In summary, when Sam, with a height of 5.5ft, stands next to Boston market, which is 17.5ft tall, and his shadow is 10ft long, we can determine the length of Boston market's shadow by setting up a proportion. By solving the proportion, we find that the length of Boston market's shadow is 31.82 ft.

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Answer:

14

Step-by-step explanation:

164 = 8x + 52

Subtract 52 from both sides

112 = 8x

Divide both sides by 8

14 = x

Answer: 225 altogether.

Step-by-step explanation:

Let x represent Meihua's number and y represent Maria's number of books.

4x = y and x + 135 = y

Substitute and solve for x

4x = x + 135 Subtract x from both sides.

3x = 135. Divide both sides by 3.

x = 45 That's how many Meihua has. Then figure Maria's number by substituting 45 in place of x in the original equations.

4(45) = y. And 45 + 135 = y

In both, y = 180.

x + y = total altogether

45 + 180 = 225

Answer:

what did you put for question 2 and 3?

Step-by-step explanation:

2.If the values for length and area are plotted, what would the graph look like?

3.How is the relationship between the length and the area of the rectangle different from other kinds of relationships we’ve seen before?

Answer:

  a) $1000

  b) 5 years

  c) -200; a decrease of $200 in value each year

Step-by-step explanation:

When the age of the computer is 0 years, the graph shows its value to be $1000.

The original cost of the computer is $1000.

__

The graph shows the value is 0 when time is 5 years.

After 5 years, the computer no longer has value.

__

The value decreases 1000 in 5 years, so does so at the rate of $1000/5 = $200 per year.

The slope is -200. It means the value decreases by $200 each year.

Step-by-step explanation:

a) At time 0, the value was $1000, so the computer cost $1000.

b) At time = 5 years, the value is zero.

c) In the first year, the value went from $1000 to $800 in 1 year.

It lost $200 of value, so the slope is -200.

It means the computer loses $200 of value per year.

To determine the critical values for the test statistic χ20 at various significance levels and sample sizes, we need to specify the desired significance levels and degrees of freedom. The χ20 distribution is a chi-square distribution with degrees of freedom equal to the sample size minus one.

1. Given that the hypothesis test is h0: σ2 = 7 against h1: σ2 ≠ 7, the test statistic χ20 follows a chi-square distribution with degrees of freedom equal to the sample size minus one.

2. To obtain the critical values, we need to specify the significance levels and sample sizes. The significance level determines the probability of rejecting the null hypothesis when it is true. For a two-tailed test, the significance level is typically divided equally between the two tails.

3. Using statistical tables or software, we can look up the critical values for the chi-square distribution corresponding to the desired significance levels and degrees of freedom. The critical values will represent the cutoff points beyond which we reject the null hypothesis.

4. Please provide the specific significance levels and sample sizes you would like to consider, and I can provide the corresponding critical values for the test statistic χ20.

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Answer:

2,7c-3,6c =-9+4,5

-0,9c=-4,5

c=5

Answer:

c=5

Step-by-step explanation:

2.7c-4.5=3.6c-9

     +4.5         +4.5

2.7c = 3.6c -4.5

-3.6c  -3.6c

-0.9c = -4.5

-0.9c/-0.9= -4.5/-0.9

c= 5

The probability of a 5-card hand having at least one of each of the four values: Ace, King, Queen, and Jack is 0.00139, while the probability of the same number of hearts and spades is 0.2907.

(a) At least one of each of the four values: Ace, King, Queen, and Jack:

- There are 4 ways to choose an Ace, 4 ways to choose a King, 4 ways to choose a Queen, and 4 ways to choose a Jack.
- There are 44 ways to choose the fifth card, which can be any card except an Ace, King, Queen, or Jack.
- There are a total of {_2^{52}}C  = 2,598,960 possible 5-card hands.
- Therefore, the probability of having at least one of each of the four values is (4 x 4 x 4 x 4 x 44) / 2,598,960 = 0.00139.

(b) The same number of hearts and spades:

- There are three possible scenarios: 2 hearts and 2 spades, 3 hearts and 3 spades, or 4 hearts and 4 spades.
- For 2 hearts and 2 spades, there are {_2^{13}}C\ x\ {_2^{13}}C\ x\ {_1^{26}}C = 2,381,676 ways to choose the cards.
- For 3 hearts and 3 spades, there are  {_3^{13}}C\ x\ {_3^{13}}C\ x\ {_2^{26}}C= 13,090,704 ways to choose the cards.
- For 4 hearts and 4 spades, there are {_4^{13}}C\ x\ {_4^{13}}C\ x\ {_3^{26}}C = 8,715,072 ways to choose the cards.
- The total number of ways to have the same number of hearts and spades is 2,381,676 + 13,090,704 + 8,715,072 = 24,187,452.
- Therefore, the probability of having the same number of hearts and spades is 24,187,452 / 2,598,960 = 0.2907.

Note: The question is incomplete. The complete question probably is: What is the probability that a 5-card hand has (a) At least one of each of the four values: Ace, King, Queen, and Jack? (b) The same number of hearts and spades?

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False , the variance and standard deviation are not measures of central location

Given data ,

The variance and standard deviation are not measures of central location but measures of dispersion or spread of a dataset

Measures of central location include the mean, median, and mode, which represent the typical or central value of a dataset

The variance and standard deviation are measures of dispersion or spread in a dataset. They provide information about how the values in a dataset are spread out around the mean.

In order to understand the variability or dispersion of data points within a dataset, one must take into account both the variance and standard deviation. They provide information on the range of values and aid in calculating how far away from the mean certain data points are. In statistics and data analysis, these metrics are frequently used to comprehend and evaluate the variance of various datasets.

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Answer: 1,992

Step-by-step explanation:

The mean, median and mode are measures of central tendency, that is they tend to indicate the location middle of the data

Required values;

(a) The performance for the week for Park Street

The performance for the week for Bridge Road

(b) The mean is $3611

The median is $3,600

The standard deviation is $3250

The Interquartile range is $6075

Reason:

The table of values that maybe used to find a solution to the question is given as follows;

\(\begin{array}{|l|l|l|}\mathbf{Variable} &\mathbf{Park}&\mathbf{Bridge}\\N&36&40\\Mean&6611&5989\\SE \ Mean&597&299\\StDev&3580&1794\\Minimum&800&1800\\Q_1&3600&5225\\Median&6600&6000\\Q_3&9675&7625\\Maximum&14100&8600\end{array}\right]\)

(a) Park Street revenue = $7,500

Bridge Road's revenue = $7,100

The two stores sold close to but below the 75th percentile

Bridge Road revenue;

The z-score is given as follows;

\(Z = \dfrac{x - \mu }{\sigma }\)

From the Z-Table, we have;

The percentile= 0.7291

Park Street revenue;

The z-score is given as follows;

From the Z-Table, we have;

The percentile = 0.5987

(b) Given that the operating cost is $3,000, frim which we have;

The subtracted value is subtracted from the mean and median to find the new value

Profit = The revenue - Cost

New mean = 6611 - 3000 = 3611

The new median = 6600 - 3000 = 3600

The standard deviation and the interquartile range remain the same, therefore, we have;

The interquartile range = 9675 - 3600 = 6075

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Answer:

The answer is 11 300.06

\((4 \times 1000) + (3 \times 100) + (6 \times \frac{1}{100}) + (7 \times 1000) \)

\( = 4000 + 300 + \frac{6}{100} + 7000\)

\( = 11 \: 300 + 0.06\)

\( = 11 \: 300.06\)

What is going on? it doesn't make any sense.

Answer:

the school block me

Step-by-step explanation:

from seinge this image

The simplified form of the expression is 0.45x + 2.04.To simplify the expression 0.2(5x - 0.3) - 0.5(-1.1x + 4.2), let's perform the calculations step by step:

First, distribute 0.2 to the terms inside the parentheses:

0.2 * 5x = x

0.2 * -0.3 = -0.06

Next, distribute -0.5 to the terms inside the parentheses:

-0.5 * -1.1x = 0.55x

-0.5 * 4.2 = -2.1

Now, we can rewrite the expression:

x - 0.06 - 0.55x + 2.1

Combine like terms:

(x - 0.55x) - 0.06 + 2.1

0.45x + 2.04

So, the simplified form of the expression is 0.45x + 2.04.

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Marissa's shape is classified as a scalene and obtuse triangle, considering it's concepts presented in this problem.

The triangle has three sides of unequal length, as the opposite angle measures are different, hence it is classified as an scalene triangle.

(it would be equilateral if all had the same length, and isosceles if two sides have the same length).

The triangle has one angle larger than 90º, hence it is classified as an obtuse triangle.

(acute with no angles of 90º or greater, right with one angle of exactly 90º).

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The value of det (b)^3  is -1024 if  b= [2 0 2, 1 1 4, 1 3 2 ] where b is a 3x3 matrix.

The given matrix is given as

b =

 \(\left[\begin{array}{ccc}2&0&2\\1&1&4\\1&3&2\end{array}\right]\)

The det of a matrix is calculated by the product of each component in any row or column of the matrix by its cofactor. The totality of these outcomes shows the worth of the determinant. The method of creating this sum of products is named expansion by a given row or column.

a11 = 2[(1x2) - (3x4) ]  = -20

a12 = 1[(0x2) - (3x2) ] = -6

a13 = 1[(0x4) - (1x2)]  = -2

det (b) = a11 - a12 + a13

det (b) =  -20 - (-6) + (-2)

det  (b)  =  -16

det  (b)^3 =  (-16) x (-16) x (-16)

det  (b)^3  = -1024

Therefore we can conclude that the value of det (b)^3  is -1024

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The percent of decrease is 63.16%

How to calculate the percentage of decrease?

First, we calculate the amount of decrease

= $3,800 - $1,400

= $2,400

Next we dividing the amount of decrease by original price (old price)

= $2,400 ÷ $3,800

= 0.6316

And then convert the result into a percentage by multiplying by 100%

= 0.6316 × 100%

= 63.16%

Thus, the percent of decrease is 63.16%

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Answer:

25

Step-by-step explanation:

2.5 is 1 so 2.5 times 10 equals 25

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