The volume of this cone is 339. 12 cubic feet. What is the height of the cone?

Slope of the line passing through (-5,-4)  and (-1,3)is 1.75

The slope formula

slope = (y₂ - y₁) / (x₂ - x₁)

Notice that the slope of a line is easily calculated by hand using small, whole number coordinates. The formula becomes increasingly useful as the coordinates take on larger values or decimal values.

The  points belong to an increasing, linear function.

Equation: y = 1.75x + 4.75.

m=7/4=1.75.

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Answer:

241

Step-by-step explanation:

Given the following :

Number of random samples surveyed = 45

Of the random samples surveyed, 21 expected to go on 3 vacations in the next year:

Total number of clients = 516

Percentage of random sample surveyed who intend to go 3 vacations in the next year :

(21 / 45) * 100

0.4666667 * 100 = 46.7%

That is 46.7% of surveyed sample intend to go on 3 vacations in the next year.

Therefore using these to make inference about the number of total client who will go on 3 vacations in the next year:

46.7% of total clients

(46.7 / 100) * 516

= 240.8

= 241 ( to the nearest whole number)

If 180 liters of fluid enter the kidneys each day, about 178 liters of fluid will be reabsorbed by the kidneys each day.

The kidneys play a crucial role in filtering and regulating fluid balance in the body. On average, approximately 180 liters of fluid enter the kidneys each day through the process of filtration. However, not all of this fluid is excreted as urine. The majority of it, around 99%, is reabsorbed back into the bloodstream.

The reabsorption process occurs in the renal tubules, where essential substances such as water, electrolytes, and nutrients are selectively transported back into the bloodstream while waste products and excess substances are removed for eventual excretion.

Therefore, out of the initial 180 liters that enter the kidneys, around 178 liters are reabsorbed, leaving only a small amount (approximately 2 liters) to be excreted as urine.

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Answer:

Step-by-step explanation:

Your answer

About all the sides are equal so we can say (10x + 44) side's triagle is twice than another triangle

So, 10x + 44 = 2( 8x - 23)

..... 10x +44 = 16x -46

...... X = 15

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Answer: 11 vertices

Step-by-step explanation:

Hi, to answer this question we simply have to substitute E=18 and F= 9 on Euler's formula:

F+V = E+2

Where:

F = number of faces

V = number of vertices

E= number of edges

Replacing with the values given:

9+V = 18+2

Solving for V:

V =18+2-9

V = 11

Feel free to ask for more if needed or if you did not understand something.  

Answer:

101.32 gets rounded to 101.

Why this is your answer:

101 is your answer because...

1. As we can see in the question, it says, "What whole number". That means, we have to see in the decimals in the number "101.32".

2. We can see that In the number "101.32", there is 32 as the decimal number, first we should look at the "tenths" number. Which is 3.

3. As you know, anything 4 and below, stays as it's own number, and 5 and higher, goes to the next whole number. Here, we have 3 as the "Tenths". And according to that rule... You think, what should we do?

4. As we saw that rule, we know that 3 is smaller than 4. That easily means that , The number will get rounded to the whole number it was.

Thanks!

Using the normal distribution formula, we know that the z score that is equivalent to 25 is 1.5.

A continuous probability distribution for a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.

The characteristics of normal distributions are as follows: Bell-like in its symmetry.

The distribution's mean and median, which are both at its center, are equal.

68 percent of the data, or approximately, falls within one standard deviation of the mean.

So, the formula is used to determine the Z score for a data point x in a normal distribution:

Z = z - mean/standard deviation

Now, use the formula to calculate the z value as follows:

Z = z - mean/standard deviation

Z = 25 - 16/6

Z = 9/6

Z = 3/2

Z = 1.5

Therefore, using the normal distribution formula, we know that the z score that is equivalent to 25 is 1.5.

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Answer:

10 cartridges

Step-by-step explanation:

170/17 = 10

Answer:

The answer is 10

Step-by-step explanation:

17×10=170

A rank 6 approximation of matrix A would only require us to store 1692 values.

To find the number of values needed to store a rank 6 approximation of the matrix A, we need to consider the formula for the rank-k approximation of a matrix:

A_k = U_k * Sigma_k * V_k^T

where U_k is a matrix of size m x k, Sigma_k is a diagonal matrix of size k x k, and V_k is a matrix of size n x k.

For a rank 6 approximation, we only need to keep the first 6 columns of U and V, and the first 6 diagonal entries of Sigma.

The number of values needed to store U_k and V_k is:

43 x 6 + 85 x 6 = 828

The number of values needed to store Sigma_k is:

6 x 6 = 36

Therefore, the total number of values needed to store a rank 6 approximation of matrix A is:

828 + 36 + 828 = 1692

So, a rank 6 approximation of matrix A would only require us to store 1692 values, which is much less than the 3655 values needed to store the full matrix.

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The inequality that can be used to find w, the number of weeks it can take for the shelter to meet its goal, is: w ≥ 10

To find the inequality that can be used to determine the number of weeks it can take for the animal shelter to meet its fundraising goal, we need to consider the total expenses and donations.

Let's break down the expenses and donations:

Expenses:

Annual rental = $2,500

Weekly expenses = $450

Donations:

One-time donation = $125

Pledged donations per week = $680

Let w represent the number of weeks it takes for the shelter to meet its goal.

Total expenses for w weeks = Annual rental + Weekly expenses * w

Total expenses = $2,500 + $450w

Total donations for w weeks = One-time donation + Pledged donations per week * w

Total donations = $125 + $680w

To meet the goal, the total donations must be greater than or equal to the total expenses. Therefore, the inequality is:

Total donations ≥ Total expenses

$125 + $680w ≥ $2,500 + $450w

Simplifying the inequality, we have:

$230w ≥ $2,375

Dividing both sides of the inequality by 230, we get:

w ≥ $2,375 / $230

Rounding the result to the nearest whole number, we have:

w ≥ 10

Therefore, the inequality that can be used to find w, the number of weeks it can take for the shelter to meet its goal, is:

w ≥ 10

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The scatter plot that shows positive linear association is (b)

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

The image of the scatter plots

Considering scatter plot (b)

On the scatter plot, we can see that

The points appear to be on a straight line

Also, we can see that

As the x values increases the y values increases

This represents a positive linear association.

Hence, scatter plot (b) has a positive linear association.

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Answer:

146

Step-by-step explanation:

72+4(33+2)−19

=49+4(33+2)−19

=49+4(27+2)−19

=49+(4)(29)−19

=49+116−19

=165−19

=146

Considering that y is between x and z, we have that:

We consider that y is between x and z, hence the length of the segment is given by:

xz = xy + yz

The separate lengths are given as follows:

Hence:

4k + 38 = 3k - 2 + 7k + 4.

4k + 38 = 10k + 2

6k = 36

k = 6.

Hence the length of yz is given by:

yz = 7k + 4 = 7(6) + 4 = 42 + 4 = 46 units.

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Answer:

3/4

Step-by-step explanation:

The slope of the line is given by

m= (y2-y1)/(x2-x1)

   = (6-3)/(0 - -4)

  = (6-3)/( 0+4)

   3/4

All of the expressions 2n8, 5n10, 2n3, n2, and 4n-14 are even for all values of n because all of the coefficients of n are even numbers.

2n8, 5n10, n2, 4n-14

2n8 : This expression is even for all values of n because the coefficient of n is an even number (2).

5n10 : This expression is even for all values of n because the coefficient of n is an even number (5).

2n3 : This expression is even for all values of n because the coefficient of n is an even number (2).

n2 : This expression is even for all values of n because the coefficient of n is an even number (1).

4n-14 : This expression is even for all values of n because the coefficient of n is an even number (4).

All of the expressions 2n8, 5n10, 2n3, n2, and 4n-14 are even for all values of n because all of the coefficients of n are even numbers.

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A/an database schema diagram can be used to show how the tables in a database are defined and related.

This type of diagram provides a visual representation of the structure and organization of the database. It illustrates the tables ,and  their attributes, and the relationships between them.

The database schema diagram helps in the  understanding the logical design of the database, including primary keys, for  foreign keys, and the connections between different tables. It allows developers, database administrators, and stakeholders to visualize the database structure and serves it as a reference for in  designing, modifying, and querying the database effectively.

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The correct answer is E) Two of the responses above are correct:

The measurement(s) that would help determine absolute dates by radiometric means are the accumulation of the daughter isotope and the loss of parent isotopes. These two measurements are crucial in radiometric dating methods, which rely on the decay of radioactive isotopes in rocks and minerals over time.

In radiometric dating, scientists measure the ratio of parent isotopes to daughter isotopes in a sample. The parent isotopes decay at a known rate, converting into daughter isotopes. By determining the amount of parent isotope that has decayed and the accumulation of daughter isotope, scientists can calculate the age of the sample.

For example, if a rock sample contains a radioactive isotope with a half-life of 1 million years, and 75% of the parent isotope has decayed into the daughter isotope, it can be inferred that the rock is approximately 2 million years old (since two half-lives have passed).

Therefore, the correct answer is E) Two of the responses above are correct: the accumulation of the daughter isotope and the loss of parent isotopes are measurements that help determine absolute dates by radiometric means.

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Answer:

Step-by-step explanation:

Area of rectangle = Length ×Breadth

\(Length =8x+1\\Breadth = 3x-2\\\\A =\left(8x+1\right)\left(3x-2\right)\\\\=8x\times\:3x+8x\left(-2\right)+1\times\:3x+1\times\left(-2\right)\\\\=8\times\:3xx-8\times \:2x+1\times \:3x-1\times\:2\\\\=24x^2-13x-2\)

The expected value of the "Buy New" option is 724732.60.

Decision Tree:

To solve the given problem, the first step is to create a decision tree. The decision tree for the given problem is shown below:

Expected Value Calculation: The expected value of the "Buy New" option can be calculated using the following formula:

Expected Value = (Prob. of Prosperity * Payoff for Prosperity) + (Prob. of Recession * Payoff for Recession)

Substituting the given values in the above formula, we get:

Expected Value for "Buy New" = (0.7 * 1,035,332) + (0.3 * -150,000)Expected Value for "Buy New" = 724,732.60

Therefore, the expected value of the "Buy New" option is 724,732.60.

Conclusion:

To conclude, the decision tree is an effective tool used in decision making, especially when the consequences of different decisions are unclear. It helps individuals understand the costs and benefits of different choices and decide the best possible action based on their preferences and probabilities.

The expected value of the "Buy New" option is 724,732.60.

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The expected value of x in Exhibit 5-5 is 30.

The expected value of x is the average of the outcomes weighted by their respective probabilities.

This means that the expected value is determined by summing the product of each outcome and its respective probability. For Exhibit 5-5, the expected value is calculated as (0 x 0.1) + (10 x 0.4) + (20 x 0.4) + (30 x 0.1) = 30. Therefore, the expected value of x in Exhibit 5-5 is 30.

To explain further, expected value is a measure of central tendency that is used to evaluate a probability distribution. It is the sum of all possible outcomes multiplied by their respective probabilities, which helps us understand the behavior of a random variable.

In Exhibit 5-5, the random variable x has four possible outcomes (0, 10, 20, 30) and four corresponding probabilities (0.1, 0.4, 0.4, 0.1). By multiplying each of these outcomes by their respective probabilities and summing them together, we can calculate the expected value. In this case, the expected value of x is 30.

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The minimum duration with cruise control activated is approximately 2.67 hours. The maximum time with cruise control activated is around 2.08 hours.

Divide the maximum distance by the pace at which you are traveling to find the maximum time with cruise control on:

2.08 hours = 125 miles at 60 miles per hour

Hence, the maximum time with cruise control activated is around 2.08 hours.

To calculate the minimum time with cruise control turned on, multiply 195 miles by 60 miles per hour, which is 3.25 hours.

Subtract the time it would take you to drive 35 miles on either side of the border:

3.25 hours minus 0.58 hours (35 miles per hour x 60 miles per hour) equals 2.67 hours

Hence, the minimum duration with cruise control activated is approximately 2.67 hours.

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The rate at which the candle burn in inch's per hour is 1/4 inches per hour

The rate is how fast the candle burns with the passage of time. It is the height of the candle divided by the time it takes the candle to burin down.

Division is the process of grouping a number into equal parts using another number. The sign used to represent division is ÷. Division is one of the basic mathematical operations.

Rate = height / time it take the candle to burn down

2 / 8 = 1/4 inches per hour

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Answer:

1/4

Step-by-step explanation:

?

Sliced peaches at $1.49 per 16- ounce can is the least expensive per ounce.

As the common term between every option is ounce , we'll calculate every value per ounce.

1 ] frozen sliced peaches = $2.99/ 16 = $0.18 per ounce.

2] Sliced peaches = $1.49/16 = $0.09 per ounce.

3] Sliced peaches = $1.29/12 = $0.10 per ounce.

4] Frozen sliced peaches = $0.25 per ounce.

On comparing the four values -   b] $0.09 is the least expensive among them all.

Hence, sliced peaches at $ 1.49 per 16- ounce can is the least expensive per ounce.

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Given:

Then:

The total number of different choices for the representative is 114

The number of choices for the representative to the university committee is the sum of the number of CS faculty members and the number of CS majors who are not faculty members.

Since no one can be both a faculty member and a student.

The number of choices for a faculty member is simply the number of members of the CS faculty, which is 9.

The number of choices for a CS major who is not a faculty member can be calculated by subtracting the number of CS faculty members from the total number of CS majors: 114 - 9 = 105.

Therefore, the total number of different choices for the representative is:

9 + 105 = 114

So there are 114 different choices for the representative to the university committee.

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The proportion of those surveyed who chose basketball as their favorite sport is 34.149 (option a)

Let's denote the proportion of adults who chose basketball as their favorite sport as P(Basketball). To calculate P(Basketball), we need to divide the total number of adults who chose basketball by the total number of surveyed adults. Mathematically, it can be represented as:

P(Basketball) = (Number of adults who chose basketball) / (Total number of surveyed adults)

To calculate the number of adults who chose basketball, we sum up the values from the age range categories:

Number of adults who chose basketball = Number of adults (18-30) who chose basketball + Number of adults (31-50) who chose basketball + Number of adults (51 and above) who chose basketball

Looking at the table, we find that the number of adults (18-30) who chose basketball is 15, the number of adults (31-50) who chose basketball is 8, and the number of adults (51 and above) who chose basketball is 11. Adding these values together, we get:

Number of adults who chose basketball = 15 + 8 + 11 = 34

Now, let's calculate the total number of surveyed adults. We can sum up the values from the age range categories:

Total number of surveyed adults = Total number of adults (18-30) + Total number of adults (31-50) + Total number of adults (51 and above)

From the table, we find that the total number of adults (18-30) is 49, the total number of adults (31-50) is 48, and the total number of adults (51 and above) is 52. Adding these values together, we get:

Total number of surveyed adults = 49 + 48 + 52 = 149

Now, we have the values we need to calculate the proportion:

P(Basketball) = (Number of adults who chose basketball) / (Total number of surveyed adults)

= 34 / 149

Hence the correct option is (a).

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Answer:

y=1/2x

Step-by-step explanation:

Find the slope of the original line and use the point-slope formula y−y1=m(x−x1) to find the line parallel to y=1/2x−8

I know this isn't much but please don't report me. I got this answer ):

Answer:

y = \(\frac{1}{2}\)x + 8

Step-by-step explanation:

Since lines that are parallel to each other must have the same gradient,

m = \(\frac{1}{2}\)