Six groups of students sell 162 balloons at school carnival. There are 3 students in each group. If each student sells the same number of balloons, how many balloons does each student sell?

Answer:

916110

Step-by-step explanation:

39*27*29*30

The value of q is -27.

Recall Vieta's Formulas, which state that for a quadratic equation \(ax^2\) + bx + c = 0 with zeroes alpha and beta, the sum of the zeroes is equal to -b/a, and the product of the zeroes is equal to c/a.

In our equation \(x^2\) - 3x + q, the sum of the zeroes alpha and beta is -(-3)/1 = 3.

We are given that 2 alpha + 3 beta = 15. Substitute alpha = (15 - 3 beta)/2 into the equation.

Replace the value of alpha in the sum of zeroes equation: (15 - 3 beta)/2 + beta = 3.

Simplify the equation by multiplying both sides by 2: 15 - 3 beta + 2 beta = 6.

Combine like terms: 15 - beta = 6.

Subtract 15 from both sides: -beta = -9.

Multiply both sides by -1 to solve for beta: beta = 9.

Substitute the value of beta into the sum of zeroes equation: alpha = (15 - 3 * 9)/2 = -3.

Since we have the values of alpha and beta, we can find q using the product of the zeroes formula: q = alpha * beta = -3 * 9 = -27.

For more such questions on value, click on:

https://brainly.com/question/843074

#SPJ8

The nurse should teach the parents to administer 2.5 teaspoons of the acetaminophen liquid suspension per dose.

The prescribed dosage of acetaminophen is 300 mg every 4 hours as needed. The liquid suspension provides 120 mg of acetaminophen per 5 mL (1 teaspoon). To determine the number of teaspoons required for the prescribed dosage, we can set up a proportion:

120 mg / 5 mL = 300 mg / x mL

Cross-multiplying, we get:

120 mg * x mL = 5 mL * 300 mg

Simplifying, we have

120x = 1500

Dividing both sides by 120, we find:

x = 1500 / 120 = 12.5 mL

Since there are 5 mL (1 teaspoon) in each dose, we can convert 12.5 mL to teaspoons:

12.5 mL / 5 mL = 2.5 teaspoons

Therefore, the nurse should teach the parents to administer 2.5 teaspoons of the acetaminophen liquid suspension per dose to ensure the child receives the prescribed dosage of 300 mg.

Learn more about proportion here:

https://brainly.com/question/31010676

#SPJ11

For a regular quadrilateral, each exterior angle measures 90 degrees, so the sum of the exterior angles is 4 times 90 degrees, or 360 degrees.

In a regular quadrilateral, all angles are equal. To find the sum of the measures of the exterior angles, we can follow these steps:

1. Determine the sum of the interior angles of a quadrilateral, which is always 360 degrees.
The sum of the measures of the exterior angles of any polygon, including a regular quadrilateral, is always 360 degrees. This is because each exterior angle of a polygon is formed by extending one of the sides of the polygon, and the sum of the exterior angles is equal to the sum of the measures of the angles formed by all the sides of the polygon.

2. Since it's a regular quadrilateral, divide the sum by the number of sides (4) to find the measure of each interior angle. 360 / 4 = 90 degrees.

3. To find the measure of each exterior angle, subtract the measure of the interior angle from 180 degrees (since they are supplementary). 180 - 90 = 90 degrees.

4. Multiply the measure of one exterior angle by the number of sides (4) to find the sum of the measures of the exterior angles. 90 * 4 = 360 degrees.

The sum of the measures of the exterior angles of a regular quadrilateral is 360 degrees.

Learn more about Quadrilateral:

brainly.com/question/29934440

#SPJ11

Answer:it's just like baldi's equations just multiply the digits that are u there it is hard to see

Step-by-step explanation:

Yes, she can definitely use her van safety in one journey. The total weight is the weight of potatoes plus the weight of carots.

Given,

Number of sacks of potatoes = 30

Mass of each potato = 25

Total weight of Potatoes = 30 * 25

= 750

Number of sacks of carrots = 20

Mass of each Carot = 7.5

Total weight of Carrot = 20 * 7.5

= 150

(The total weight is the weight of potatoes plus the weight of carrots.)

So, total weight = 750 + 150

= 900

The maximum land which Edith can carry safely in the van is 920 kilograms.

∵ 900 < 920

∴ She can use her van safely.

Learn more about Weight here: brainly.com/question/23312072

#SPJ4

New York had the larger population with 1.9 x 10⁷ people. The correct option is B.

To compare the populations of the states, we need to convert all the populations to the same unit of measurement. In this case, all the populations are given in terms of millions (10⁶).

We can see that New York's population is 1.9 x 10⁷, which means 19 million people. Georgia's population is given as 9.6 x 10⁶, which is 9.6 million people. Comparing these two values, it is evident that New York has a larger population than Georgia.

Check the populations of the other states:

Alaska: 7.1 x 10⁵ = 0.71 million people

Wyoming: 5.6 x 10⁵ = 0.56 million people

Idaho: 1.5 x 10⁶ = 1.5 million people

New York's population of 19 million is much larger than any of the other states listed, making it the state with the largest population among the options provided. The correct option is B.

To know more about population, refer here:

https://brainly.com/question/27779235#

#SPJ11

Complete question:

Based on the 2010 census, the population of Georgia was 9.6 x 10^6 people. Which state had a larger population? A. Alaska: 7.1 x 10^5 B. New York: 1.9 x 10^7 C. Wyoming: 5.6 x 10^5 D. Idaho: 1.5 x 10^6

The probability that no more than 5 cars will arrive in the next hour is approximately 0.744.

Let X be the number of cars that arrive at the drive-up window of the bank in an hour, and let λ be the average number of cars that arrive in an hour, which is 6.

       P(X ≤ 5) = ∑_{k=0}^{5} (e^(-λ) * λ^k) / k!

       where e is the mathematical constant approximately equal to 2.71828.

       P(X ≤ 5) = ∑_{k=0}^{5} (e^(-6) * 6^k) / k!

       P(X ≤ 5) = 0.744

Therefore, the probability that no more than 5 cars will arrive in the next hour is approximately 0.744.

The formula and method I used to solve this problem are specific to situations where we have a Poisson distribution, where the number of events occurring in a fixed interval of time, space or other units are independent, and the average rate of occurrence is known.

Learn more about Poisson Probability Computation here:

https://brainly.com/question/15119395

#SPJ4

Answer:

Step-by-step explanation:

The sides containing the given angles 37 and 84 are of same length:

one side is marked same, the second side is common.

The sides opposite angles of 37 and 84 are proportional to those angles, therefore:

The first part:

The second part:

Combination of the two is:

The triangles are isosceles, because:

The angles between equal sides

Left triangle:

Right triangle:

Since 40° < 48°, the opposite sides will have same inequality due to being proportional to angles:

Same time we know the side must be a positive number:

So the possible values of x are:

When x = 0 and y = 6, the partial derivatives ∂P/∂x and ∂P/∂y are ∂P/∂x = 12 and ∂P/∂y = 0, respectively.

To find the partial derivatives ∂P/∂x and ∂P/∂y using the Chain Rule, we start by computing the partial derivatives of P with respect to each variable u, v, and w, and then differentiate u, v, and w with respect to x and y.

Given expressions are:

\(P = u^2 + v^2 + w^2\)

\(u = xe^y\\ v = ye^x\\ w = e^{xy}\\\)

x = 0

y = 6

Let's begin with ∂P/∂x:

Using the Chain Rule, we have:

∂P/∂x = ∂P/∂u × ∂u/∂x + ∂P/∂v × ∂v/∂x + ∂P/∂w × ∂w/∂x

Differentiating each component:

∂P/∂u = 2u

∂u/∂x = \(e^y\)

∂P/∂v = 2v

∂v/∂x = \(ye^x\)

∂P/∂w = 2w

∂w/∂x = \(e^{xy}\)

Substituting the given values:

x = 0

y = 6

∂P/∂x = 2(0 × e^6) × e^0 + 2(6 × e^0) × 0 + 2(e^0 × 6) = 12

Next, let's find ∂P/∂y:

Using the Chain Rule, we have:

∂P/∂y = ∂P/∂u × ∂u/∂y + ∂P/∂v × ∂v/∂y + ∂P/∂w × ∂w/∂y

Differentiating each component:

∂u/∂y = x × \(e^y\)

∂v/∂y = x × \(e^y\)

∂w/∂y = \(e^x\) × y

Substituting the given values:

x = 0

y = 6

∂P/∂y = 2u × (0 × e^6) + 2v × (0 × e^6) + 2w × (e^0 × 6) = 0

Therefore, when x = 0 and y = 6, the partial derivatives are ∂P/∂x = 12 and ∂P/∂y = 0.

Learn more about Chain Rule here:

https://brainly.com/question/30764359

#SPJ11

Answer:

So a line perpendicular to this equation would be any line with a slope of -3/4 (the negative reciprocal of the slope)

Step-by-step explanation:

First convert the original equation into y = form to find the slope.

Subtract 4x on both sides leaving -3y = -27 - 4x

This leaves y = (-27 - 4x)/(-3)

You can divide both -27 and -4x by -3 individually to get 9 and 4/3 respectively

This makes your equation y = 9 + (4/3)x

Whenever an equation is in y = mx + b form, the 'm' represents the slope. In this case the slope is 4/3.

The final position after following the treasure map is 144.38 km at 28.1" east of north, and you can find that  treasure in  a biography of Isaac Newton.

To answer the question, you need to use trigonometry and vectors to calculate the total distance travelled and the final position. First, draw a triangle with the initial point being the old oak tree. Label the sides of the triangle as A (825 m south), B (1.25 km at 30.0" west of north), and C (100 km at 40.0" north of east).

Using trigonometry, you can calculate the distance A = 825 m, B = 1.58 km, and C = 143 km. The total distance you travelled is A + B + C = 825 m + 1.58 km + 143 km = 144.38 km.

To calculate the final position, you can use vectors. Vector A is in the South direction and has magnitude 825 m. Vector B is at 30.0" west of north and has magnitude 1.58 km.

Vector C is at 40.0" north of east and has magnitude 143 km. Calculate the resultant vector of the three vectors (A, B, and C) to get the final position. The resultant vector has a magnitude of 144.38 km and a direction of 28.1" east of north.

Therefore, the final position after following the treasure map is 144.38 km at 28.1" east of north, and the treasure you find is a biography of Isaac Newton.

To know more about resultant vector click on below link:

https://brainly.com/question/28188107#

#SPJ11

Answer:

4:3

Step-by-step explanation:

that means red:yellow

I HOPE IT HELPED YOU

MARK ME AS BRAINLIST

Answer:

DVvddhsajmsmzmzmxmxmx

Step-by-step explanation:

Answer:

i believe its around like a 4.1% or 4.2%

HOPE IT HELPS!!

The constant of proportionality is the slope of the line.

The slope is the change in y over the change in x

Using two pints on the line:

Slope = (3-0) / (1-0) = 3/1 = 3

The answer is 3

The estimated median price of a single-family home in Charleston/No. Charleston in the 1st Quarter of 2008 is $201,048. If the median price continues to decrease at the same rate for the next two years, the estimated median price of a single-family home in the 1st Quarter of 2011 would be $144,458.

(a) To estimate the median price of a single-family home in the 1st Quarter of 2008, we need to calculate the original price before the 8.15% decrease. Let's assume the original price was P. The price after the decrease can be calculated as P - 8.15% of P, which translates to P - (0.0815 * P) = P(1 - 0.0815). Given that the end of 1st Quarter of 2009 median price was $184,990, we can set up the equation as $184,990 = P(1 - 0.0815) and solve for P. This gives us P ≈ $201,048 as the estimated median price of a single-family home in the 1st Quarter of 2008.

(b) If the median price of a single-family home falls at the same rate for the next two years, we can calculate the price for the 1st Quarter of 2011 using the estimated median price from the 1st Quarter of 2009. Starting with the median price of $184,990, we need to apply an 8.15% decrease for two consecutive years. After the first year, the price would be $184,990 - (0.0815 * $184,990) = $169,805.95. Applying the same percentage decrease for the second year, the price would be $169,805.95 - (0.0815 * $169,805.95) = $156,012.32. Therefore, the estimated median price of a single-family home in the 1st Quarter of 2011 would be approximately $144,458.

To learn more about median click here: brainly.com/question/300591

#SPJ11

The $130,000 would be considered as Statistic.

In statistics, a population refers to the entire group of individuals or items of interest, while a sample is a subset of the population. A parameter is a numerical value that describes a characteristic of a population.

In this scenario, the survey results are based on a sample of 10,000 graduates out of a total population of 200,000 graduates. The average salary of $130,000 is calculated from the data collected within this sample. Since it is derived from the sample, it is considered a statistic.

A parameter would be used to describe the average salary of the entire population of 200,000 graduates if data were collected from all of them. However, in this case, the given information only pertains to the subset of the sample.

LEARN MORE ABOUT Statistic here: brainly.com/question/31538429

#SPJ11

Answer:

The correct answer is D

Step-by-step explanation:

Answer:

k=8

Step-by-step explanation:

For 2 lines to be parallel, they must have the same slope. First, let's isolate y.

5y=2x+2

y=2/5x+2/5

Now, in our second equation, we must make it so that the slope is 2/5.

5(4)=20

2(4)=k

k=8

y=8/20x+10

If you simplify that, then the slope will be 2/5.

The probability of at least one person being vaccinated out of four people chosen at random is 0.30, or 30%, rounded to the nearest hundredths.

To find the probability that at least one of them has been vaccinated:

We use P(1) for only one person; the same reasoning should apply to other subscripts.

Adding all these probabilities given 0.3042802.

As a result, the probability of at least one person being vaccinated out of four people chosen at random is 0.30, or 30%, rounded to the nearest hundredths.

Know more about probability here:

https://brainly.com/question/24756209

#SPJ4

Answer:

Step-by-step explanation:

Answer:

the answer in 36cm squared

Step-by-step explanation:

pie r squared

When the weight moves from x = -8 cm to x = 8 cm, the spring moves from its maximum stretched position to its maximum compressed position.Hence, the spring oscillates between its maximum stretched and compressed positions when the weight is set in motion. Therefore, the spring is a simple harmonic oscillator.

Given: Displacement x

= 8 cos t

= Acos(ωt+ φ) where A

= 8 cm, ω

= 1 and φ

=0. To find: What is the spring?Explanation:We know that displacement is given by x

= 8 cos t

= Acos(ωt+ φ) where A

= 8 cm, ω

= 1 and φ

=0.Comparing this with the standard equation, x

= Acos(ωt+ φ)A

= amplitude

= 8 cmω

= angular frequencyφ

= phase angleWhen the spring is at equilibrium position, the weight attached to the spring does not move. Hence, no force is acting on the weight at the equilibrium position. Therefore, the spring is neither stretched nor compressed at the equilibrium position.Now, the spring is set in motion resulting in a displacement of x

= 8 cos t

= Acos(ωt+ φ) where A

= 8 cm, ω

= 1 and φ

=0. The maximum displacement of the spring is 8 cm in the positive x direction. When the weight is at x

= 8 cm, the restoring force of the spring is maximum in the negative x direction and it pulls the weight towards the equilibrium position. At the equilibrium position, the weight momentarily stops. When the weight moves from x

= 8 cm to x

= -8 cm, the spring moves from its natural length to its maximum stretched position. At x

= -8 cm, the weight momentarily stops. When the weight moves from x

= -8 cm to x

= 8 cm, the spring moves from its maximum stretched position to its maximum compressed position.Hence, the spring oscillates between its maximum stretched and compressed positions when the weight is set in motion. Therefore, the spring is a simple harmonic oscillator.

To know more about oscillator visit:

https://brainly.com/question/15780863

#SPJ11

The displacement of the weight attached to the spring is given by the equation x = 8 cos t. The amplitude of the motion is 8 centimeters and the period is 2π seconds.

The equation x = 8 cos t represents the displacement of a weight attached to a spring in simple harmonic motion. In this equation, x is measured in centimeters and t is measured in seconds.

The amplitude of the motion is 8 centimeters, which means that the weight oscillates between x = 8 and x = -8.

The period of the motion can be determined from the equation T = 2π/ω, where ω is the angular frequency. In this case, ω = 1, so the period T is 2π seconds.

https://brainly.com/question/35900466

#SPJ12

Answer:

x=3

Step-by-step explanation:

Answer: 0.01 = 10-2 .

Step-by-step explanation: have a good day!

(1,2,4)

Range describes the y-values of a graph.

Range

Range is the y-values that a graph covers. Remember that the y-values are found on the vertical axis. If the graph is not continuous, then the values between the points are not included in the range. Similar to the range, the domain of a graph is the x-values that a graph covers. If there is a coordinate point with a y-value, then that y-value should be included in the range.

Finding Range

In order to find the range, we need to find all the unique y-values of the graph. Additionally, the range is given in numerical order. This means starting from the least value and going up to the greatest. The lowest y-value is 1, then 2, and finally 4. Even though there are two points where y = 2, we are only looking for unique values. This means that the range is (1,2,4).

Answer:

27.41

Step-by-step explanation:

Shoreline Park in Mountain View, California, has diligently maintained records of the number of visitors to the park ever since its establishment.

Shoreline Park, located in Mountain View, California, has implemented a comprehensive system to monitor and track the number of patrons visiting the park since it first opened. This proactive approach allows park management to gather data on the park's popularity and usage patterns, enabling them to make informed decisions regarding park maintenance, amenities, and future development plans. By closely monitoring the number of visitors, Shoreline Park can ensure that it meets the needs of the community and maintains a pleasant environment for everyone to enjoy.

Maintaining records of the number of patrons using the park serves multiple purposes. Firstly, it helps in understanding the park's peak times and off-peak periods, enabling park officials to allocate resources effectively and plan events or activities accordingly. It also aids in assessing the park's capacity and evaluating any potential overcrowding issues that may arise during busy periods. Additionally, tracking visitor numbers can assist in evaluating the success of marketing and promotional efforts aimed at attracting more people to the park. Overall, by keeping close tabs on the number of patrons using Shoreline Park, the park management can ensure that it remains a popular and well-utilized recreational space for the community while addressing any concerns or challenges that may arise.

Learn more about data here:

https://brainly.com/question/29117029

#SPJ11