The price of a regular snowcone at Icy's Snowcone Stand is $2.85

Find the volume of a regular snowcone.

Find the price per cubic inch of a regular snowcone.
6in and 3in

To determine the number of students in the third class, we need to first calculate the boundaries of each class interval based on the given width and starting point.

Given that the first class ends at 15 hours per week, we can construct the class intervals as follows:

Class 1: 0 - 15

Class 2: 16 - 30

Class 3: 31 - 45

Class 4: 46 - 60

Now we can examine the data and count how many values fall into each class interval:

Class 1: 13, 12, 15 --> 3 students

Class 2: 20, 20, 20, 25, 15, 20, 15 --> 7 students

Class 3: 35, 35, 35, 60, 35 --> 5 students

Class 4: 20 --> 1 student

Therefore, there are 5 students in the third class.

In summary, based on the given data and the class intervals with a width of 15 starting at 0-15, there are 5 students in the third class.

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To maximize the return on investment, the investor should place $50,000 in CDs and $25,000 in the mutual fund. The maximum return, in this case, would be $4,950.

To maximize the return, we need to consider the constraints given in the problem. The investor requires that at least twice as much should be invested in CDs as in the mutual fund. This means that the investment in CDs should be at least $20,000. However, since the investor has a total of $75,000 to invest, the maximum investment in CDs can be $50,000, leaving $25,000 to be invested in the mutual fund.

To calculate the maximum return, we can determine the returns from each investment. The CD yields 7%, so the return from the CD investment would be 7% of $50,000, which is $3,500. The mutual fund yields 8%, so the return from the mutual fund investment would be 8% of $25,000, which is $2,000.

The maximum return is obtained when the investments are maximized, which gives us a total return of $3,500 + $2,000 = $5,500. However, since the investor requires at least twice as much to be invested in CDs, the maximum return achievable is $4,950 (7% of $50,000 + 8% of $25,000).

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Answer:

1/3= 22 gallons

1= 66 gallons

1.5= 99 gallons

2= 132 gallons

Step-by-step explanation:

The required answer would be 1/3 hour = 22 gallons, 1 hour = 66 gallons, and 1.5 hours = 99 gallons if a pool is being filled at the rate of 66.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

We can write this as a ratio as

one hour : 66 gallons = x hour : 22 gallons

⇒ 1/66= x/22    

⇒ x = 22/66

⇒ x = 1/3

one hour : 66 gallons = 1.5 hour : y gallons

⇒ 1/66= 1.5/y  

⇒ y = 1.5/(1/66)

⇒ y = 1.5×66

⇒ y = 99

Therefore, the required answer would be 1/3 hour = 22 gallons, 1 hour = 66 gallons, and 1.5 hours = 99 gallons.

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Sososos

Step-by-step explanation:

Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

pls mark me as brainliest pls.

Answer:

15

Step-by-step explanation:

3x-20=x+10

   -10    -10

3x-30=x

-3x     -3x

-30=-2x

/-2    /-2

15=x

Answer:

I believe your answer would be Soundis

Answer:

A material through which sound waves can travel is called a medium.

The calculated volume of the prism is 897 cubic ft

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

The trapezoidal prism

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (13 + 10) * 6

Evaluate

Base area = 69

Also, we have

Height = 13

So, the volume is

volume = 13 * 69

Evaluate

volume = 897

Hence, the volume of the prism is 897 cubic ft

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The set of integers is the set of all whole numbers and their negative counterparts. This includes the numbers ..., -3, -2, -1, 0, 1, 2, 3, ...

Numbers that are not included in the set of integers are fractions, decimals, and other numbers that are not whole numbers. For example, the numbers 0.5, 1.6, and -3.14 are not included in the set of integers.

For example, the set of integers includes the numbers -3, -2, -1, 0, 1, 2, 3, and so on. These numbers can be negative, positive, or zero, but they must be whole numbers (that is, they must not include any fractional or decimal parts).

Numbers that are not included in the set of integers are any numbers that are not whole numbers. These include fractions, decimals, and other numbers that are not integers. For example, the numbers 0.5, 1.6, and -3.14 are not integers, because they include fractional or decimal parts.

In summary, the set of integers includes all whole numbers and their negative counterparts and excludes any numbers that are not whole numbers.

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The values for "Y" correspond to the chosen "X" values are \(-0.0625,-0.25,-1,-0.25,-0.0625\)

A function, also known as the domain and the range, is a fundamental idea in mathematics that represents the relationship between two sets of elements. Each element in the domain is paired with a different element in the range.

A function is, more precisely, a rule or a correspondence that links every input value from the domain to precisely one output value from the range. The variable x normally represents the input values, and the variable y or f(x) typically represents the corresponding output values.

A function can be envisioned as a device that accepts an input and outputs a particular result in accordance with the rule or operation specified by the function. Only the input value influences the output, and each

Calculating the corresponding values of "X" and "Y" for each row is necessary to finish the table for the function \(h(x) = -(1/4)x\). I am not able to choose the missing values because the table is not provided. But I can explain to you how to figure out the function's values.

A function that depicts an exponential function is \(h(x) = -(1/4)x\). You can use the provided function to find the values by selecting a range of "X" values and determining the corresponding "Y" values.

Let's pick a range of "X" values from \(-2 to 2\), for illustration:

when \(x = -2:\)

\(h(-2) = -(1/4)^(-2) = -(1/4)^2 = -(1/16) = -0.0625\)

when \(x = -1:\)

\(h(-1) = -(1/4)^{-1} = -(1/4)^1 = -1/4 = -0.25\)

when \(x = 0:\)

\(h(0) = -(1/4)^0 = -1^0 = -1\)

when \(x = 1:\)

\(h(1) = -(1/4)^1 = -1/4 = -0.25\)

when \(x=2:\)

\(h(2) = -(1/4)^2 = -1/16 = -0.0625\)

These are the values for "Y" corresponding to the chosen "X" values. Depending on the table, you can select the appropriate values to complete it.

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Maximum two hours of gaming a day is healthy.

What is meaning of healthy?

Not just the absence of illness or infirmity, but also a complete condition of physical, mental, and social well-being, is what is meant by "health."

Additionally, twice as many parents of teen boys than teen girls report that their son plays video games daily. Teenage guys are also more likely to play video games for three or more hours.

The American Academy of Pediatrics advises limiting screen-based entertainment to no more than two hours each day. According to Radesky, parents should make a "media plan" that specifies how much time a kid can spend playing video games without having an impact on their behavior or their schoolwork.

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Yes, they can use the walkie-talkies to talk to each other.

The distance between them is given as 28.2 meters.

The horizontal and vertical distances should be considered when calculating the distance between their apartments using the three-dimensional form of the Pythagorean theorem.

This comes out as \(\sqrt((18^2 + 19^2 + 7^2))\), which equals \(\sqrt(798)\) square root meters, or, to the nearest tenth, 28.2 meters.

Since this distance is less than the 35-meter range of the walkie-talkies, communication should be possible between the two apartments.

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Yes, irrational numbers such as π are included in the domain of the function f(x) = 7.

The domain of a function is the set of all possible input values (x) for which the function is defined. In the case of the function f(x) = 7, the output value (y) is always equal to 7, regardless of the input value.

Since every real number, including irrational numbers like π, can be an input value for f(x) = 7, the domain of this function is the set of all real numbers, which includes both rational and irrational numbers. Therefore, π is included in the domain of the function f(x) = 7.

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Primitivity refers to the fundamental property of an operation or function in mathematics, where the operation or function cannot be expressed in terms of simpler operations. Associativity, on the other hand, describes the property of an operation where the grouping of elements does not affect the result.

In simple terms, primitivity means that a particular operation cannot be broken down into smaller, more basic operations. For example, addition is considered a primitive operation because it cannot be expressed in terms of simpler operations. On the other hand, multiplication is not primitive since it can be expressed as repeated addition.

Associativity, on the other hand, refers to the fact that when we have three or more elements operated together, the result is the same regardless of how we group them. For example, addition is associative because (a + b) + c is equal to a + (b + c). However, subtraction is not associative since (a - b) - c is not equal to a - (b - c).

In summary, primitivity refers to the irreducibility of an operation, while associativity determines whether the grouping of elements affects the result of the operation.

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Answer:

0.125

Step-by-step explanation:

For a fair coin, H and T is the same probability. To get zero tails, we need to toss a head, then a head, and again a head - each time we succeed with probability of 0.5, so succeeding 3 times happens 0.5^3 of the time = 0.125

Alternatively, look at all the options:

HHH

HHT

HTH

HTT

THH

THT

TTH

TTT

Only one option has no tails, and because the coin is fair, each option is equally probable, so the probability of HHH is 1/8 = 0.125

Answer:

It means 3 times pi (π) or 3 times 3.14159...

Step-by-step explanation:

if a number/value is directly next to another number/value, then that means that you're multiplying. Example: 3x or 3(5). Hope this makes sense and good luck on your assignment.

Answer:

it could either mean 33.14...... or   because the symbol means pi which is 3.14..

If 3 appears on the first die, then the sum of the numbers on the two dice can be 8 only if 5 appears on the second die. The probability of rolling a 5 on a single die is 1/6, so the probability of rolling a 3 and a 5 on two dice is 1/6 * 1/6 = 1/36. This means that the probability of rolling a sum of 8 when 3 appears on the first die is 1/36.

The estimate of the impact that a successful preventive program might have can be derived from

attributable risk.

In epidemiology, attributable risk or excess risk is a phrase equivalent with risk difference, which has also been used to express the attributable proportion among the exposed and the population.

Attributed risk assists in determining how much of an outcome is attributable to a certain risk factor (i.e., an estimate of the excess risk) in a population exposed to that factor.

The rate (percentage) of a health result (illness or death) in exposed persons that can be linked to the exposure is known as the attributable risk (AR). Attribitable risk measures how much more common a result is in absolute terms among the exposed than the non-exposed.

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According to the question The graphs of the equations intersect at two points: (6, 8) and (-2, 0).

To find the total number of points of intersection between the graphs of the equations \($2x^2 - y^2 = 8$\) and \($y = x + 2$\) , we need to solve the system of equations.

Substituting \($y$\) from the second equation into the first equation, we get:

\(\[2x^2 - (x+2)^2 = 8\]\)

Expanding and simplifying:

\(\[2x^2 - (x^2 + 4x + 4) = 8\]\)

\(\[2x^2 - x^2 - 4x - 4 = 8\]\)

\(\[x^2 - 4x - 12 = 0\]\)

Factoring the quadratic equation, we have:

\(\[(x - 6)(x + 2) = 0\]\)

Setting each factor equal to zero:

\(\[x - 6 = 0 \quad \text{or} \quad x + 2 = 0\]\)

Solving for \($x$\) :

\(\[x = 6 \quad \text{or} \quad x = -2\]\)

Now, substituting these values of \($x$\) back into the equation \($y = x + 2$\)  to find the corresponding \($y$\) values:

When \(\\$x = 6$, $y = 6 + 2 = 8$\).

When \(\\$x = -2$, $y = -2 + 2 = 0$\).

Therefore, the graphs of the equations intersect at two points: (6, 8) and (-2, 0).

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(a)The optimal order quantity is  4609 units.

(b)The time between orders is  1.98 months.

To determine the optimal order quantity and the approximate time between orders, the Economic Order Quantity (EOQ) model. The EOQ model minimizes the total cost of inventory by balancing ordering costs and carrying costs.

Optimal Order Quantity:

The formula for the EOQ is given by:

EOQ = √[(2DS) / H]

Where:

D = Annual demand

S = Cost per order

H = Holding cost per unit per year

calculate the annual demand (D) using the 2020

sales numbers provided:

D = 651 + 808 + 514 + 174 + 435 + 426 + 687 + 582 + 662 + 1551 + 1295 + 1774

= 9559 units

To calculate the cost per order (S) and the holding cost per unit per year (H).

The cost per order (S) is given as $500.

The holding cost per unit per year (H)  calculated as follows:

H = Carrying cost percentage × Unit value

= 0.30 × $3

= $0.90

substitute these values into the EOQ formula:

EOQ = √[(2 × 9559 × $500) / $0.90]

= √[19118000 / $0.90]

≈ √21242222.22

≈ 4608.71

Approximate Time Between Orders:

To calculate the approximate time between orders, we'll divide the total number of working days in a year by the number of orders per year.

Assuming 360 days in a year and a lead time of 1 week (7 days) for shipping, we have:

Working days in a year = 360 - 7 = 353 days

Approximate time between orders = Working days in a year / Number of orders per year

= 353 / (9559 / 4609)

= 0.165 years

Converting this time to months:

Approximate time between orders (months) = 0.165 × 12

= 1.98 months

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A second linearly independent solution of y₂ is \(-\frac{1}{6x^3}\)

The general Equation is y" + P(x)y' + q(x)y = 0 ...............(i)

where P(x), Q(x) are continues in the internal I ≤ R.

If y₁(x) is a solution of equation 1 in I then y₁(x) ≠ 0.

Then y₂(x) = y₁(x)\(\int{\frac{e^{-\intP(x)dx}}{(y_{1}x)^2}}dx\) is another solution.

The differential equation is x²y" + xy' – 9y = 0 where x > 0.

As y₁(x) = x³ is one solution of differential equation.

Divide throughout by (x²) to given differential equation.

1/x² (x²y" + xy' – 9y = 0)

y" + (y'/x) – (9/x²)y = 0 ................(ii)

By comparing equation (i) & (ii) we get:

p(x)=1/x , q(x)= –are continuous for x>0

So, another solution,

y₂(x) = y₁(x)\(\int{\frac{e^{-\intP(x)dx}}{(y_{1}x)^2}}dx\)

Now putting the values of P(x) And Q(x)

y₂(x) = \(x^3\int\limits {\frac{e^{\int(1/x)dx} }{(x^3)^2}} \, dx\)

y₂(x) = \(x^3\int\limits {\frac{\frac{1}{x} }{x^6} }} \, dx\)

y₂(x) = \(x^3\int\limits {\frac{1}{x^7} }} \, dx\)

y₂(x) = \(x^3\int\limits {x^-7} } \, dx\)

y₂(x) = \(x^3\left[\frac{x^{-7+1}}{-7+1}\right]\)

y₂(x) = \(-\frac{1}{6}(x^3\times x^{-6})\)

y₂(x) = \(-\frac{1}{6x^3}\)

So, the answer of this question is \(-\frac{1}{6x^3}\).

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Answer:

5  10   15   20  

4   8    12   16

Step-by-step explanation:

Flour: 5,10,15,20

Sugar:4,8,12,16

so the amount of flour you need is 20 cups and the amount of sugar is 16 cups

Answer:

        y - 8.3 = 6.5(x + 3.4)     {the point-slope form of the equation}

        y = 6.5x + 30.4            {the slope-intercept form of the equation}  

        65x - 10y = - 304            {the standard form of the equation}

Step-by-step explanation:

The point-slope form of equation is: y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope.

m = 6.5

(-3.4, 8.3)    ⇒   x₀ = -3.4,  y₀ = 8.3

The point-slope form of the equation:

y - 8.3 = 6.5(x + 3.4)

So:

y - 8.3 =  6.5x + 22.1         {add 8.3 to both sides}

y = 6.5x + 30.4             ←  the slope-intercept form of the equation

 y - 6.5x = 30.4                   {multiply both sides by (-10)}

65x - 10y = - 304               ←  the standard form of the equation

Answer: 40

Step-by-step explanation:

Assume Julio's number is x.

The expression would be:

-7 * (x - 15) = -175

x - 15 = -175/-7

x = -175/-7 + 15

x = 40

Answer:

x = 13

Step-by-step explanation:

All of the interior angles of a triangle add up to equal 180 degrees.

This means that if you set the expressions from your problem to equal 180, you'll get the value of x:

6x - 9 + 4x + 10 + 4x - 3 = 180        (original equation)

14x - 2 = 180                                    (combine like terms)

     +2       +2                                   (add 2 to both sides)

14x = 182

x = 13                                              (divide both sides by 14)

   ( 0, 7 ) and ( 0,4 ) are  two points of the equation .

What Is an Equation, exactly?

An equation is a mathematical expression with two equal sides and an equal sign in between.

                                  An equation is, for instance, 4 + 6 = 10. 4 + 6 is visible on the equal sign's left side, and 4 + 6 is visible on the equal sign's right side.

    ( 4,0) & ( 0,7 )

Given constraint  is

        7x₁ + 4x₂ ≤ 28

  IF  x₁ = 0

         4x₂  =  28  

          x₂ = 7

        ( 0, 7 )

If x₂  = 0

    7x₁ = = 28

     x₁  = 4

       ( 4 ,0 )

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Answer: The watermelon weighs more than the baby.

Step-by-step explanation:

I think that the watermelon that weighs 7.5 kilograms is more than a baby because 1 pound is 0.45 kilograms. So that means that 7.5 kilograms is 16.53 pounds which weighs more than 12 pounds.

The watermelon weight is more than baby weight.

What is Measurement unit?

A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.

Given that;

A watermelon weighs = 7.5 kilograms

And, A baby weighs = 12 pounds

Now,

Since, 1 kg = 2.2 pounds

Hence, The watermelon weight = 7.5 x 2.2 pounds

                                                  = 16.5 pounds

Thus, The watermelon weight is more than baby weight.

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Answer:

Step-by-step explanation:

If it is irrational, it can never be rational unless it is acted upon by something else like a power.

Pi, no matter what is done to it, can never be rational.  Once a number is declared as irrational, that is what it remains.

20 minutes is \(1/3^{rd}\) of an hour

Answer:

14

Step-by-step explanation:

35-7 is 28. 28 divided by 2 is 14.