One link in a chain was made from a cylinder that has a radius of 3 cm and a height of 25 cm. How much plastic coating would be needed to coat the surface of the chain link? Use 3.14 for π.

Answer:

Step-by-step explanation:

Answer is A

3250 is the total cost

$95 is the cost of installation

Cost for 642 square feet

=3250 - 95=3155

Cost of installation per square feet = 3155/642=4.91

Cost of Carpet City per square feet = $5

Cost of Westside carpet per square feet = $4.91

So Carpet City charges more

They need to sell 18 pieces to cover their expenditures (have a profit of zero).

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

here, we have,

How many cakes will they have sold?

We know that the costs are:

$36 for the booth at the fair.

$6 for each piece of cake they sell.

And the revenue is:

$8 for each piece of cake.

So, the profit (the difference between the revenue and the cost) for selling x pieces is:

p(x) = $8*x - $6*x - $36

p(x) = $2*x - $36

We want to find the value of x such that p(x) = 0, then:

0 =  $2*x - $36

x = $36/$2

  = 18

They need to sell 18 pieces to cover their expenditures (have a profit of zero).

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This means that 5% of the 10-1/2-month-old baby boys in the reference population weigh 16.7 pounds or less, and 95% of these baby boys weigh 16.7 pounds or more.

The determination is based on the definition of a percentile. A percentile is a value below which a certain percentage of the data falls. So, in this case, if a weight of 16.7 pounds is at the 5th percentile for 10-1/2-month-old baby boys, then 5% of the baby boys in the reference population have a weight of 16.7 pounds or less. This also means that the remaining 95% of the baby boys in the reference population have a weight of more than 16.7 pounds.

The calculation of percentiles is based on the ranking of the data set. The data is first sorted in ascending order and then divided into 100 equal parts, with each part representing a percentile. The value at each percentile is the value below which a certain percentage of the data falls.

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The common size value for licensed content is 0.0848.

To calculate the common size value for licensed content, first, we need to find the total revenue of the company. We can get this information from the company's financial statements.

Let's assume the total revenue of the company is $100,000.

Next, we need to find the amount of money spent on licensed content. Let's assume that the amount spent on licensed content is $8,500.

Now, to calculate the common size value for licensed content, we need to divide the amount spent on licensed content by the total revenue, and multiply the result by 100.

So, the common size value for licensed content is:

Common size value = (8,500/100,000) x 100 = 0.0848

Therefore, the common size value for licensed content is 0.0848 (rounded to 4 decimals).

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The value of the angle x is 120 degrees

It is important to note the following;

From the information given in the diagram, we have that;

The variable x is laying on a straight line with one end of the triangle.

Also, angle 60 is alternate to the same angle on a straight line with x

So, we have that;

60 degrees + x degrees = 180 degrees

Solve mathematically as;

60 + x = 180

collect like terms

x = 180 - 60

Subtract the values

x = 120 degrees

Hence, the value is 120 degrees

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The minimum number of bins that she will need to safely stock the extra clothing will be 24

A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.

The minimum number of bins that she will need to safely stock the extra clothing will be:

= 350 / 15

= 24 rounded up.

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Answer:

2x^2 + 4x +2 is questiont and 28 is remainder ok

You have a fraction of 5/4 of the required tickets. You don't need more tickets for the souvenir.

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Here, a is called the numerator and b is called the denominator.

Any number can be expressed as fractions.

Given that,

Percentage of tickets you have = 125%

125% can also be written as 125 / 100

125% = 125 / 100

         = (25 × 5) / (25 × 4)

         = 5/4, which is the required fraction.

Actual number of tickets needed = 100%

You have 25% = 25/100 = 1/4 more tickets for the souvenir.

So you don't need more tickets.

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Answer:

0.2060

A fraction is a fragment of a whole number, used to define parts of a whole. The whole can be a whole object, or many different objects. The number at the top of the line is called the numerator, whereas the bottom is called the denominator.

First, multiply both the numerator and the denominator by 1000.

[tex]\frac{1.942}{9.43}[/tex] × 1000 = [tex]\frac{1942}{9430}[/tex]

Now, reduce the fraction to lowest terms. (Extract and cancel out 2.)

[tex]\frac{971}{4715}[/tex]

Convert to decimal.

[tex]\frac{971}{4715}[/tex] ≈ 0.205938494

Round to 4 decimal places.

0.2060

Therefore, 1.942 ÷ 9.53 = 0.2060

The solution is, Only member B and D will reach their goal.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

Given;

Amount to be saved = $285

Total time to save money = 5 weeks

Now,

For member A:

Working hours = 8 per week

per hour earnings = $6.15

Therefore,

The total amount collected

= working hours per week × Total weeks × Earning per hours

= 8 × 5 × 6.15

= $246

For member B:

Working hours = 10 per week

per hour earnings = $5.85

Therefore,

The total amount collected

= working hours per week × Total weeks × Earning per hours

= 10 × 5 × 5.85

= $292.5

For member C:

Working hours = 7 per week

per hour earnings = $7.25

Therefore,

The total amount collected

= working hours per week × Total weeks × Earning per hours

= 7 × 5 × $7.25

= $253.75

For member D:

Working hours = 9 per week

per hour earnings = $6.35

Therefore,

The total amount collected

= working hours per week × Total weeks × Earning per hours

= 9 × 5 × $6.35

= $285.75

Since, the amount earned by member B and D is greater than the goal amount and the amount earned by member A and C is less than the goal amount

therefore,

Only member B and D will reach their goal.

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Answer:

30

Step-by-step explanation:

to divide by a fraction, multiply by the reciprocal of it

the reciprocal of 1/6 is 6

5*6=30

The new diagram with a scale factor of 1 unit = 2cm will look the same

as each new grid now represents 2 cm.

The scale factor defines a variable in a ratio of two different measurements.

Sometimes drawings of large models are represented in a scale factor of a smaller unit.

Given, A drawing represented by a scale factor of 1 unit = 6cm,

Where every grid unit represents 6 cm.

The new drawing model will look exactly the same as now each grid unit represents 2cm feet.

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Answer: Let's assume that Car B travels at a speed of x miles per hour. The expression that represents how many miles farther Car B travels in two hours compared to Car A is:

(x - 55) * 2

This expression calculates the difference in speed between Car B and Car A (x - 55) and then multiplies it by the number of hours (2) to get the total distance Car B travels farther than Car A in two hours.

Step-by-step explanation:

The total problems assigned over the weekend are 15.

Let's assume the total number of problems assigned = x.

Given that problems solved on Saturday is 3/5 of her total questions. This is represented as:

(3/5)x

The remaining problems are:

1 - (3/5)x = (2/5)x

On, Sunday the problems solved are 1/3 of the remaining. This is represented as:

(1/3)*(2/5)x = (2/15)x

The remaining problems are:

(1 - 1/3)(2/5 x) = (2/3) * (2/5)x = 4/15x

Given that the final number of problems remaining are 4, that is:

(4/15)x = 4

x = 4 (15/4)

x = 15

Hence, the total problems assigned over the weekend are 15.

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The values of 'x' and 'y' which make the quadrilateral PSZR a kite are

4 and 5 respectively.

A quadrilateral is a closed object in geometry that is created by connecting four points, any three of which are not collinear. There are 4 sides, 4 angles, and 4 vertices in a quadrilateral.

We know a kite is a special type of quadrilateral in which pair of adjacent sides are of equal length.

Therefore, PS = ZS and PR = ZR.

So, 5x - 4 = 3y + 1 and 8y - 4 = 36.

Now, 8y - 4 = 36.

8y = 40.

y = 5.

And hence, 5x - 4 = 3(5) + 1.

5x = 15 + 5.

5x = 20.

x = 4.

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Answer:

8ft

Step-by-step explanation:

solve equation of x²-2x-48=0

(x-8)(x+6)=0

so x=8 or -6

only 8 is correct

x is a hypergeometric random variable, p(x=0) is 0.033.

Hypergeometric random distribution is a discrete probability distribution that describes k success in n draws without replacement from a finite population  size of N that exactly contains K objects.

Given x is a  hypergeometric random variable ,

    [tex]P(X=k)=\frac{KC_{k} .(N-K)C_{n-k} }{NC_{n} }[/tex]

Here, N=10,n=3,r=6, P(x=0)

By using the above formula we get,

            =[tex]\frac{6C_{0} .4C_{3} }{10C_{3} }[/tex]

            =[tex]\frac{4}{120}[/tex]

 p(x=0) =0.033

Hence, P(x=0) is 0.033, where x is a hypergeometric random variable.

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The inequality of context is 1.29x + 10(1.29) ≤ 100 and she can buy 77 songs.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Let, The number of new songs be 'x'.

Therefore, The inequality to determine the number of songs she can buy and not run out of gift card money is,

1.29x + 10(1.29) ≤ 100.

1.29x + 12.9 ≤ 100.

1.29x ≤ 87.1.

x ≤ 87.1/1.29.

x ≤ 67.52 But she can buy only 67 songs and 10 songs before so 77 songs.

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Answer: Yes, I can solve this problem using a system of equations. Let n be the number of nickels and q be the number of quarters. Then we can write two equations:

The total number of coins is 25: n + q = 25.

The total value is $3.85: 0.05n + 0.25q = 3.85

We can solve this system of equations using substitution or elimination. Let's use substitution:

From equation (2), we can solve for n: n = (3.85 - 0.25q)/0.05.

Substitute this expression for n into equation (1): (3.85 - 0.25q)/0.05 + q = 25.

Multiply both sides by 0.05 to clear the denominators: 3.85 - 0.25q + 0.05q = 25 * 0.05.

Simplify the left side: 3.85 = 1.25q.

Divide both sides by 1.25 to solve for q: q = 3.08

Substitute this value for q into equation (1) or the expression for n from step (1) to find n: n = 25 - q = 25 - 3.08 = 21.92

Since n and q represent the number of coins, we round them down to the nearest whole number. So, there are 21 nickels and 3 quarters.

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

cuz I said so

the length of its hypotenuse will be 7√2 inches.

A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse.

Given, the two legs of an isosceles right triangle measure 7 inches

Since,

From the Pythagorean theorem:

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.

So,

Hypotaneuse² = base² + height²

in our case,

Base = height = 7 inches

Thus,

Hypotaneuse = √(7² + 7²)

Hypotaneuse = 7√2 inches

Therefore, the length of its hypotenuse will be 7√2 inches.

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The expression that could be used to check if x is non-negative and y is negative is (x >= 0) && (y < 0).

This expression uses the logical operator "&&", which requires both conditions to be true in order for the overall expression to evaluate to true.

The first condition is to check if x is non-negative, which can be done using the greater than or equal to operator (x >= 0).

The second condition is to check if y is negative, which can be done using the less than operator (y < 0). If both conditions are true, then the overall expression will evaluate to true.

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An expression that evaluates to true if x is non-negative and y is negative is x >= 0 && y < 0.

This expression evaluates to 'true' if x is greater than or equal to 0 and y is less than 0. In other words, if x is non-negative and y is negative, this expression will evaluate as true. The '&&' operator represents a logical "and" operation, which returns true only if both conditions are true. The ">=" operator checks if x is greater than or equal to 0, and the '<' operator checks if y is less than 0.

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The correlation coefficient, r, for each of the graph is:

Graph 1: 0.88.

Graph 2: 0.43

Graph 3: -0.75

Graph 4: -0.1.

You can visually examine the graph to determine the direction and strength of the relationship between the two variables.

If the points tend to form a straight line sloping upwards to the right, the correlation is positive, indicating that the two variables are positively related (as one variable increases, so does the other). If the points tend to form a straight line sloping downwards to the right, the correlation is negative, indicating that the two variables are negatively related (as one variable increases, the other decreases).

The strength of the correlation is determined by how tightly the points are clustered around the line. If the points are tightly clustered around the line, the correlation is strong. If the points are scattered more widely, the correlation is weak.

Once you have determined the direction and strength of the relationship, you can estimate the correlation coefficient using a rough approximation. For example, if the correlation is positive and the points are tightly clustered around the line, the correlation coefficient is likely to be close to +1. If the correlation is negative and the points are widely scattered, the correlation coefficient is likely to be close to -1. If there is no clear relationship, the correlation coefficient is likely to be close to 0.

Therefore:

Graph 1 has an r-value of 0.88.

Graph 2 has an r-value of 0.43 because the points are moderately farther apart from each other and slopes upwards.

Graph 3's r-value would be -0.75 because the points are closer to each other and slopes downwards to the left.

Graph 4's r-value would be -0.1.

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Answer:

Step-by-step explanation:

4.1.1 "I am fifty years old" is an example of a discrete variable, as age is typically measured in whole numbers, not fractions or decimals.

4.1.2 "I can drink 400.5 ml of juice in a minute" is an example of a continuous variable, as the amount of juice consumed can be any value along a continuous range of possible values, including fractional amounts.

4.1.3 "I have 2 brothers and 1 sister" is an example of a discrete variable, as the number of siblings is typically measured in whole numbers.

In summary, 4.1.1 is a discrete variable, 4.1.2 is a continuous variable, and 4.1.3 is a discrete variable.

Answer:

I believe D.

Step-by-step explanation:

Since the number on the number line is 1 and 2/4, the opposite would be the negative version, -1 and 2/4. Hope this helped!

Answer:

1; can't say for certain

2: well, the chances of getting a yellow starburst are 1/8th but those are immediately increased depending on how many packs you buy though I can't say for certain how much because I do not know the variable of how many you may possibly buy.

3; the chance of getting 2 yellows in a pack are 1/8ths or 1/16ths as for there's a 1/8th chance of getting one yellow in a pack.

4,5,6;well, considering orange seems most abundant there would be at least a 3/4ths chance of getting orange a 2/4ths chance of getting pink and for the other colors a 1/4th chance of getting yellow or red

Step-by-step explanation:

Answer:

19%

Please mark it the brainiest.

To add 20 and 6 using a number line, you would start at 20 and count on by 5 once (for 25) and then by 1 once (for 26). Counting on by 10s isn't feasible as 6 isn't a multiple of 10.

To add 20 and 6 using counting on by 5s or 10s with a number line, you would start at number 20, then you would progress along the line in increments of 5 until you've added 6. However, since 6 is not a multiple of 5, you would need to count on by 5 once (to get to 25) and then count on by one, one more time (to get to 26). If you were counting on by 10s, you wouldn't be able to, as 6 isn't a multiple of 10.

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Answer: The exponential function to model the value of the land over time t (in years) is given by:

V(t) = 6500 * e^(-0.016t)

So, to find the value of the land in 1999 (10 years after 1989), we can plug in t = 10 into the equation:

V(10) = 6500 * e^(-0.016 * 10) = 6500 * e^(-0.16) = 6500 * 0.8499 = 5524.935

Therefore, the approximate value of the land in 1999 was approximately $5524.935.

Answer:

12 is the correct answer

Step-by-step explanation:

12 is correct ans