9. [-12 Points) DETAILS HARMATHAP12 10.4.005. MY NOTES Analysis of daily output of a factory during a 8-hour shift shows that the hourly number of units y produced after t hours of production is y = 70t + t+ -e?, osts 8. - (a) After how many hours will the hourly number of units be maximized? hr (b) What is the maximum hourly output? units/hr Need Help? Read It # Show My Work Ontionall?

Answer:

D. 3/20 or 15%

Step-by-step explanation:

You put the preferred events over the total events.

Total events=80

Desired events=12    (yellow)

12/80=0.15

multiply by 100 makes it a percent

15%

Get 12/80 and simplify it

12/80=6/40=3/20

3/20 Chance the Ricky would pull out a yellow Jelly bean

hope this helps!!

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Answer:

A positive integer is greater than a negative integer. Therefore, 2 is greater than –4. ... To compare two negative integers, the negative integer with the smaller number is greater.

Step-by-step explanation:

Hope you enjoy and this helps!

Answer:

1. Boys =61

2.=53

3.122

4.128

The value of the discriminant for the following given polynomial 2x²+5√3x+6=0 is 27.

The discriminant of a polynomial in mathematics is a quantity that depends on the coefficients and enables inference of some root features without computing them.

It is actually a polynomial function of the original polynomial's coefficients.

So, we have the following polynomial:

2x²+5√3x+6=0

In contrast to ax² + bx + c = 0, we obtain:

a = 2 , b = 5√3 , c = 6

Let discriminating start with "D."

Discriminate = b² - 4c

Now, insert values as follows:
D = (5√3)² - 4 × 2 × 6

D = 25 × 3 - 8 × 6

D = 75 - 48

D = 27

Therefore, the value of the discriminant for the following given polynomial 2x²+5√3x+6=0 is 27.

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A null hypothesis outlines what a researcher should see if the tested hypothesis is incorrect. In essence, it presents an "alternative" theory to the first.

The null hypothesis is a type of hypothesis that explains the population parameter and is used to examine if the provided experimental data are reliable. Depending on whether the population or sample under consideration is viable, this hypothesis is either rejected or not. Or to put it another way, the null hypothesis is a hypothesis that assumes that the sample observations are the result of chance. It is claimed to be a claim made by surveyors who wish to look at the data.

The basic idea behind null hypothesis testing is to gather data and calculate the probabilities of a particular set of data during an experiment on a random sample, presuming that the null hypothesis is correct.

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Answer:

Use mathpapa, it's a great calculator and it explains the steps

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Step-by-step explanation:

You can buy 10 songs and 2 albums for your playlist with a budget of $15. Let's assume the cost of each song is $1 and the cost of each album is $5. With a total budget of $15, you can buy a maximum of 15 songs or 3 albums.

However, the playlist can only have a total of 12 items (albums and songs) combined. To maximize the number of items within the given budget and constraint, we need to find a combination that satisfies the equation: 10S + 5A = 15, where S represents the number of songs and A represents the number of albums.

By trying different values, we can see that if we buy 10 songs (10S = 10) and 2 albums (5A = 10), the total cost would be $15 (10 + 10 = 15).

Therefore, you can buy 10 songs and 2 albums for your playlist with a total budget of $15, staying within the limit of 12 items.

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Answer:

36 dived by 4 = 9

9 trucks that week

Answer:

1/3

Step-by-step explanation:

as 1/6 for a one and 1/6 for a 2 and 1/6 + 1/6 is 2/6 or 1/3

The rise-over-run formula for the slope of a straight line is the basis of The high - low method.

The high-low method is a way of attempting to separate out fixed and variable costs given a limited amount of data. The high-low method involves taking the highest level of activity and the lowest level of activity and comparing the total costs at each level.

For example, if you have two production periods where you generate 6,000 units and then 2,500 units, those are the highest and lowest activity, respectively.

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N is the day it is, so since we are trying to find the number of problems for the 10th day, n will equal 10. The quantity of problems is doubling each day, so you will create this rule:

2^n - 1

Now, to plug in the numbers:

2^10 - 1

Then we simplify:

2^9

And now we solve this equation:

2^9 = 512

The ratios involved in the ROI formula are the net profit and the investment cost.

The ROI (Return on Investment) formula includes the following ratios:

Net Profit: The net profit represents the profit gained from an investment after deducting expenses, costs, and taxes.

Investment Cost: The investment cost refers to the total amount of money invested in a project, including initial capital, expenses, and any additional costs incurred.

The ROI formula is calculated by dividing the net profit by the investment cost and expressing it as a percentage.

ROI = (Net Profit / Investment Cost) * 100%

Therefore, the ratios involved in the ROI formula are the net profit and the investment cost.

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The velocity when the object hits the ground is 4.025 ft/s. The answer is: C) 0 feet per second.

If an object is dropped from the top of a building, its position in feet above the ground is given by s(t)=−8t^2+288, where t is the time in seconds since it was dropped.  Given that an object is dropped from the top of a building,

then its initial velocity, u = 0 (since it was dropped and not thrown). We want to find the velocity when the object hits the ground, i.e., the time it takes the object to reach the ground. We know that the position of the object when it reaches the ground is s(t) = 0.

Therefore:−8t^2+288 = 0Solving for t, we get:−8t^2 = −288t^2 = 36t = sqrt(36) = ±6 sSince time cannot be negative, t = 6 s. Then the final velocity at impact, v, can be calculated as follows:v = u + at + s/v = 0 + (-32.2)(6) + (-8(6)² + 288)/v = -193.2 + (-288 + 288)/v = -193.2 + 0/v = -193.2/v = -193.2/-48v = 4.025 (rounded to three decimal places)

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Answer:

Step-by-step explanation:

Check the ratio of the two given sides:

Ratios are different so the triangles are not similar

Correct choice is D

The area of the rectangle is increasing at a rate of 27,900,000 meters³ per year when the width of the region is 450 meters.

The inner-city revitalization region is a rectangle that is twice as long as it is wide. At a time when the area is 450 meters wide, the width of the region is increasing at a rate of 31 meters per year. The aim is to find out how quickly the area is changing at this point in time. The area of the rectangle is given by the formula,

Area = length × width

Given that the width of the rectangle is increasing at a rate of 31 meters per year. Let's say the width of the rectangle is w meters, and the rate of change in width is dw/dt meters per year. Then, we can say, dw/dt = 31 meters per year

Width of the rectangle is w meters

Length of the rectangle is twice the width, or 2w meters

Area of the rectangle is given by the formula, A = lw= 2w × w= 2w²

Now, we need to find dA/dt, the rate at which the area of the rectangle is changing with respect to time (t).We can find it using the formula,

dA/dt = dA/dw × dw/dt

dA/dw = 4w (differentiate 2w² with respect to w)

dw/dt = 31 meters per yeard

A/dt = dA/dw × dw/dt= 4w × 31= 124w meters² per year

From the given information, the width of the rectangle is 450 meters wide. So, the width is w = 450 meters.

dA/dt = 124w meters² per year

= 124 × 450 meters² per year

= 27,900,000 meters³ per year

Which is the increasing rate of the rectangle.

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The solution of the given initial value problem is:y(t) = (2/21)(sin t - 1/2)\(e^(-t/2)\)Check:

Given: y'' + y' + 5/4y = g(t); y(0) = 0, y'(0) = 0; g(t) = { sin t, 0 < t < π0, t > πTo find:

The solution of the given initial value problem.

Solution:We can find the solution of the given initial value problem in the following ways.

Determine the homogeneous solution: y'' + y' + 5/4y = 0Characteristic equation is m² + m + 5/4 = 0(m + 1/2)² + 1/16 = 0(m + 1/2)² = -1/16m + 1/2 = ± (i/4)

So the solution of the homogeneous differential equation:

y_h(t) = c₁ cos(t/2) + c₂ sin(t/2)where c₁ and c₂ are constants.Particular integral, y_p(t):g(t) = { sin t, 0 < t < π0, t > πHence, the solution of the given differential equation:

y(t) = y_h(t) + y_p(t)y(t) = c₁ cos(t/2) + c₂ sin(t/2) + (2/21)(sin t - 1/2)\(e^(-t/2)\)So, the solution of the given initial value problem is:y(t) = (2/21)(sin t - 1/2)\(e^(-t/2)\)Check:

Let's check if the given function satisfies the initial conditions.y(0) = (2/21)(sin 0 - 1/2)\(e^(0/2)\)= -1/21y'(0) = [(2/21)cos0 + (1/2) (2/21) (-1/2) ]\(e^(0/2)\)= 0

The given initial conditions are satisfied.

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Answer:

5

Step-by-step explanation:

Plug in the numeric values

4 for m, -9 for n, -2 for p, and 12 for q.
add them together.
4 + -9 = -5

-5 + -2 = -7

-7 + 12 = 5

Your answer is 5

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The correct statement is: double d = 123456789

In the given statements:

1. int i = 3.0; - This is incorrect because a decimal value (3.0) cannot be assigned directly to an integer variable. It should be assigned to a floating-point type variable instead.

2. float f = 4.5; - This is correct as a floating-point value (4.5) can be assigned to a float variable.

3. byte b = 123456789; - This is incorrect because the value 123456789 is outside the range of a byte (-128 to 127). It should be assigned to a data type with a larger range, such as into or long.

4. double d = 123456789; - This is correct as the value 123456789 can be assigned to a double variable.

5. boolean b = 1; - This is incorrect because the value 1 cannot be directly assigned to a boolean variable. It should be assigned with either true or false.

Among the given statements, the correct one is "double d = 123456789;", as it assigns the value 123456789 to a double variable.

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Answer: The answer to the first is -29x-5. The Answer to the second is -5/6a - 5/8

Step-by-step explanation:I took the K12 test I hope this helps.

The simplified expression are  -29x- 5 and 3/8(a) - 1/6.

Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

Given:

−4x+5(−5x−1)

Now solving

-4x -25 x -5

or, -29x- 5

2. −5/8a+2/3−1/4a−5/6

Now, solving

-5/8 (a) - 1/4(a) + 2/3 - 5/6

or, 5/8(a) - 2/8(a) + 4/6 - 5/6

or, 3/8(a) - 1/6

Hence, the simplified expression are  -29x- 5 and 3/8(a) - 1/6.

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Answer:

A

Step-by-step explanation:

==========================================

Work Shown:

RS = RT

2z-15 = 9

2z = 9+15

2z = 24

z = 24/2

z = 12

The reason why RS is equal to RT in the first equation is because we have an isosceles triangle. Recall that any isosceles triangle has exactly two sides the same length, and the opposite base angles are congruent to one another. The congruent angles are indicated with the single arcs.

In short: the base angles S and T are congruent, so the opposite sides RS and RT are the same length. This leads to RS = RT.

The Michelson-Morley experiment was conducted in 1887 to detect the existence of the luminiferous ether, which was thought to be the medium through which light traveled.

Here is the procedure for the Michelson-Morley experiment:

1. Set up a light source, a half-silvered mirror, two mirrors, and two detectors in a square configuration.

2. Split the light beam using the half-silvered mirror so that one beam goes to one mirror and the other beam goes to the other mirror.

3. Reflect the beams back to the half-silvered mirror and combine them to produce an interference pattern.

4. Rotate the entire apparatus by 90 degrees and repeat the measurement.

5. Compare the interference patterns from the two orientations.

If there is a luminiferous ether, the speed of light should be faster in the direction of the ether flow and slower in the perpendicular direction. This should produce a difference in the interference patterns.

However, the Michelson-Morley experiment showed that there was no difference in the interference patterns, indicating that the luminiferous ether did not exist.

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Answer:

D then A

Step-by-step explanation:

When two parallel lines are cut by a transversal, the four angles formed inside the parallel lines are called interior angles.

Interior angles are the angles formed between the two lines and the transversal that lie within the region bounded by the parallel lines. There are always four interior angles formed when two parallel lines are cut by a transversal. These angles are equal in measure and are supplementary to the corresponding exterior angles. In other words, the sum of an interior angle and its corresponding exterior angle is equal to 180 degrees. Understanding the properties of interior angles is important in geometry, as they can be used to prove the parallelism of lines.

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Answer:

Step-by-step explanation:

Equation:

-3k = 108

We need to separate -3 from k. So we must do the inverse operation.

Divide both sides by -3

k = -36

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The collection of current NFL players is well defined and is a set

Step-by-step explanation:

For a collection to be termed as a set, it is necessary that it has distinct objects that are defined.

For example, a set of first 10 natural numbers is

A= [1,2,3,4,5,6,7,8,9,10]

It is well defined and therefore called as set which has first 10 natural numbers as its elements.

Same is the case with the collection of current NFL players.

The collection contains defined number of players. Therefore, this collection is called a set.

The members of the collection or team will be known as the elements of the set.

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Answer:

x = 99 degrees.

Step-by-step explanation:

The angle in the triangle adjacent to 123 = 180 - 123 = 57 degrees.

m < x = 42 + 57 = 99 degrees.   ( by the external angle of triangle theorem).

We need to calculate the power of the heater to warm up the given air to a specified temperature and relative humidity.

The process of heating air involves three essential steps. These are preheating, humidifying, and heating.

Firstly, we need to preheat the air to increase the temperature of the air. After that, the air is humidified to the desired relative humidity, and finally, the air is heated to the required temperature.
The air we want to warm up has the following parameters:
Volume flow rate of air = 5000 cubic meters per hour
Initial temperature of air = 5 deg C
Relative humidity = 40%
Final temperature of air = 30 deg C
Step 1: Preheating the air
The specific heat of air is approximately 1 kJ/kgK. To preheat the air, we need to calculate the amount of heat required to raise the temperature of the air from 5 deg C to 30 deg C.
The density of air is approximately 1.2 kg/cubic meter, and hence, the mass of air flowing per hour is given by:
Mass of air = Volume flow rate × Density = 5000 × 1.2 = 6000 kg/hour
The amount of heat required to raise the temperature of the air from 5 deg C to 30 deg C is given by:
Q = Mass × Specific heat × Temperature rise
 = 6000 × 1 × (30 - 5)
 = 150000 kJ/hour
Step 2: Humidifying the air
The air has a relative humidity of 40%, and we want to increase it to the desired relative humidity. We can use a steam humidifier to add water vapor to the air to increase its relative humidity. The amount of heat required to humidify the air is given by:
Q = Mass of water vapor × Latent heat of vaporization
The mass of water vapor required to increase the relative humidity from 40% to the desired value can be calculated using psychrometric charts. For the given parameters, the mass of water vapor required is approximately 0.012 kg/kg of dry air.
The latent heat of vaporization of water is approximately 2260 kJ/kg. Hence, the amount of heat required to humidify the air is given by:
Q = 6000 × 0.012 × 2260 = 162720 kJ/hour
Step 3: Heating the air

Finally, we need to heat the air from 5 deg C and relative humidity of 40% to 30 deg C. The amount of heat required to raise the temperature of the air is given by:
Q = Mass × Specific heat × Temperature rise
 = 6000 × 1 × (30 - 5)
 = 150000 kJ/hour
The total heat required to warm up the air is the sum of the heat required in the three steps, i.e.,
Total Q = 150000 + 162720 + 150000
         = 462720 kJ/hour
The power of the heater required to supply this amount of heat can be calculated using the following formula:
Power = Total Q / (Efficiency × Time)
     = 462720 / (0.8 × 3600)
     ≈ 160.77 kW

The power of the heater required to warm up five thousand cubic meter per hours of air + 5 deg C and relative humidity 40% to temperature + 30 deg C is approximately 160.77 kW.

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