Use this information to answer the following 5 questions. Exhibit B: Kemper Mfg can produce five major appliances: stoves, washers, electric dryers, gas dryers, and refrigerators. All products go through three processes: molding/pressing, assembly, and packaging. Each week there are 4800 minutes available for molding/pressing, 3000 available for packaging, 1200 for stove assembly, 1200 for refrigerator assembly, and 2400 that can be used for assembling washers and dryers. The following table gives the unit molding/pressing, assembly, and packing times (in minutes) as well as the unit profits. Unit Type Molding/Pressing Assembly Packaging Profit ($) Stove 5.5 4.5 4.0 Washer 5.2 4.5 3.0 Electric 5.0 4.0 2.5 Dryer Gas Dryer 5.1 3.0 2.0 Refrigerator 7.5 9.0 4.0 110 90 75 80 130 Question 26 Refer to Exhibit B. Your optimal profit is: $29,333.33 $17,333.33 $87,051.28 $40,843.00

The correct answer is not provided in the given options. The sun would not be visible at noon on December 21 in a city at 60°N latitude.

The angle of the sun above the horizon at noon on December 21 depends on the latitude of your city. Since you mentioned that you live at 60°N, we can determine the angle using some knowledge about the tilt of the Earth and the seasons.

On December 21, the winter solstice, the Northern Hemisphere is tilted away from the sun. This means that the angle of the sun above the horizon at noon is lower than on other days of the year.

To calculate the angle, we need to subtract the latitude of your city (60°N) from the tilt of the Earth (23.5°).

So, the angle of the sun above the horizon at noon on December 21 in your city would be:
23.5° - 60° = -36.5°

The negative sign indicates that the sun is below the horizon at noon on December 21. Therefore, the correct answer is not provided in the given options. The sun would not be visible at noon on December 21 in a city at 60°N latitude.

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The probability that the defending champion wins the tournament in a single elimination format is approximately 65.17% or 0.6517.

To calculate the probability that the defending champion wins the tournament in a single elimination format, we need to consider all possible paths that lead to the champion winning three consecutive matches.

There are two possible scenarios:

1. The champion wins the first three matches.

2. The champion loses one match but wins the next three matches.

Let's calculate the probability for each scenario:

Scenario 1: The champion wins the first three matches.

Since the champion has a probability of 0.7 of winning each match, the probability of winning three consecutive matches is:

P(win) x P(win) x P(win) = 0.7 x 0.7 x 0.7 = 0.343

Scenario 2: The champion loses one match but wins the next three matches.

The champion can lose any of the first three matches with a probability of (1 - 0.7) = 0.3. After losing one match, the champion must win the remaining three matches.

Therefore, the probability of losing one match and winning the next three matches is:

P(lose) x P(win) x P(win) x P(win) = 0.3 x 0.7 x 0.7 x 0.7 = 0.1029

Now, we need to consider the number of ways these scenarios can occur. In Scenario 1, the champion can win the first three matches in only one way. In Scenario 2, the champion can lose any of the first three matches in three different ways (assuming each challenger is equally likely to win).

So, the total probability of the defending champion winning the tournament is:

Total Probability = (Probability of Scenario 1) + (Probability of Scenario 2)

Total Probability = (0.343 x 1) + (0.1029 x 3) = 0.343 + 0.3087 = 0.6517

Therefore, the likelihood of the defending champion emerging victorious in the single elimination tournament is roughly 0.6517, which can also be expressed as 65.17%.

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Answer:

x = 25

Step-by-step explanation:

Alternate exterior angles are equal.

3x - 15 = 2x +10

3x        = 2x + 10 + 15

3x - 2x = 25

         x = 25

Answer:

c 110

Step-by-step explanation:

edge 2021

Answer:

 visual interpretation. of numerical data

Step-by-step explanation:

A histogram is a graphical representation of discrete or continuous data. To put it another way, it gives a visual representation of numerical data by displaying the number of data points that fall within a given range of values.

Answer:

24 degrees.

Step-by-step explanation:

Answer:

80 pages

Step-by-step explanation:

Let the required length of paper = x

Hence:

80% of x = 64 pages

80/100 × x = 64 pages

80x /100 = 64 pages

Cross Multiply

80x = 100 × 64 pages

x = 6400/80

x = 80 pages

Therefore, the required length of the paper = 80 pages

Answer:

Option R

Step-by-step explanation:

The point S is the end point of ray.

What is line?

A line has length but no width, making it a one-dimensional figure. A line is made up of a collection of points that can be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it.

According to the given information,

A ray's endpoint is a single point that denotes the conclusion of a line segment. In this instance, only one of the three lines that extend from point S contains a ray's terminus.

We must comprehend a ray's qualities in order to establish which location is the endpoint of a ray.

A ray originates at a single place and travels in one direction indefinitely. The beginning of the line segment is the endpoint of a ray.

We can see from the provided lines that the vertical line runs from point S via point R. Since it doesn't go on forever in one direction, this is not a ray example.

Similar to the vertical line,

The horizontal line also extends from point S through point T,

But it does not go on forever.

The third line is a ray because it is infinitely long in one direction and extends right and up from point S via point U.

Therefore, point S, the beginning of the line, is the endpoint of this ray.

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Answer:

5.1.

Step-by-step explanation:

5.1 = 5.1000. You would then round down to find the nearest thousandth, which is 5.1.

Hope this helps!

Answer:

Step-by-step explanation:

5.1

The space would cost at, $833.34 per month.

:: Total area = 1000 square feet

:: Cost per feet per year = $10

Therefore,

Total cost per year would be, equal to the product of total area and cost per unit area per year.

That is,

Total cost per year = 1000 x $10

That is, $10,000.

Now, we know, there are 12 months in an year.

So, cost per month is, ( total cost per year / 12 )

That is, therefore,

Cost per month = ($10,000 / 12)

Which equals to, $833.34 per month. (rounded off)

So,

The space cost at, $833.34 per month.

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The space cost you $833.33. per MONTH

To calculate the monthly cost, we first need to determine the annual cost of the space.

Given that the cost is $10 per square foot per year, we know, there are 12 months in an year and the space is 1,000 square feet, the annual cost of the space would be:

Annual cost = the space  * cost

Annual cost = 1,000 square feet * $10/square foot = $10,000

To convert this to monthly cost, we divide the annual cost by 12 (the number of months in a year):

Monthly cost = $10,000 / 12 = $833.33

Therefore, the monthly cost of the 1,000 square feet of space in the new building would be $833.33.

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The total number of tickets given away is 280

To do this, we make use of the following representations:

From the question, we have the following equations:

a = 20 + c --- 20 more adult than children

s = 3a ---- 3 times as many senior as adult

c = 40 --- number of children tickets

Substitute c = 40 in a = 20 + c

a = 20 + 40

a = 60

Substitute a = 60 in s = 3a

s = 3 * 60

s = 180

The total number of tickets is:

Total = a + c + s

This gives

Total = 60 + 40 + 180

Evaluate

Total = 280

Hence, the total number of tickets given away is 280

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Answer: 250 cameras; $10,000 spent; 15,000 made

Step-by-step explanation:

1) FInd the profit. 60-40=20. This means that they make a profit of $20 per camera.

2) How many cameras to break even? 5000/20=250. The answer is 250 cameras!

3) How much money has been spent? 40x250= $10000 spent.

4) How much money has been made? 60x250= $15000 made.

Hope this helps!

Answer:

Negative

Step-by-step explanation:

It just is....

Answer:

negative

Step-by-step explanation:

negative something(a) subtract by a positive(b) is still negative

Answer:

17/25

Step-by-step explanation:

Answer:

10/25

Step-by-step explanation:

Answer:

52-2=50-1=49-1=48/4=12/4=3

answer: 1 out of 4 chances to draw a queen

Step-by-step explanation:

Answer:

HHH, HHT, HTH, HTT, THH, THT, TTH, TTT

Step-by-step explanation:

You have to construct a probability tree diagram.

Answer:

a. 7.78%

b.

c. lower

Step-by-step explanation:

The number of dots in r number of rows is 10r

From the question, we understand that:

There are 10 dots in a row

This means that, there will be 10 * 2 dots in 2 rows

There will be 10 * 3 dots in 3 rows

There will be 10 * 4 dots in 4 rows

There will be 10 * r dots in r rows

Hence, the number of dots in r number of rows is 10r

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The equation that can be solved using this system of equations is 3y-3.5x^2+7=0(A).

To solve the system of equations, we can start by equating the coefficients of the same powers of x in the first two equations, which gives us:

y = 4x + 6x3 - 113x5

-3.5x^2 = -5x3 + 2x2 - 10x + 4

Next, we can substitute -3.5x^2 in terms of x in the first equation:

3y = 4x + 6x3 - 113x5

3y = 4x + 6(x^2-2x+2) - 113x5

3y = 6x^2 - 118x5 + 4x - 12

Finally, we can equate the coefficients of the same powers of x in the last two equations and substitute the value of y obtained in the previous step:

-2x7 - 10x + 4 = -4x + 6x3 - 11(3.5y-7)

-2x7 - 10x + 4 = -4x + 6x3 + 38.5x5 - 77

Simplifying the above equation, we get:

3.5x^2 - 7x5 + 7 = 0

which is the required equation. So option A is correct.

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Answer:

x + 1

Step-by-step explanation:

Step-by-step explanation:6x^3 + 6 = 6 ^ 3+ 1 = 6(x+1) (x^2 - x + 1)

Answer:

2 dollars per slice.

Step-by-step explanation:

$16.00 : 8 slices

? : 1 slice

= 16.00 / 8

= $2.00

Answer:

10-k

Step-by-step explanation:

Pls mark BRAINLIEST

We know

\(\boxed{\sf M_o=3M_d-2M}\)

\(\\ \sf\longmapsto M_o=3(25)-2(28)\)

\(\\ \sf\longmapsto M_o=75-56\)

\(\\ \sf\longmapsto M_o=19\)

One way to memorize trigonometric identities is to practice using them in context and to understand the underlying concepts.

Memorizing trigonometric identities can be challenging, but one effective way to do it is to understand the concepts behind them. Start by learning the basic identities such as the Pythagorean identities, and then move on to more complex ones.

Practice using them in context, such as solving trigonometry problems or graphing trigonometric functions. You can also use flashcards to quiz yourself or try mnemonic devices to help you remember the identities.

Additionally, you can try to relate the trigonometric identities to real-world examples, like in physics, astronomy or engineering.Another way to make it easier is to memorize the identities by finding patterns and connecting them together.

For example, all the reciprocal identities have a reciprocal relationship, and all the quotient identities have a quotient relationship. Once you know the pattern and relationship, it becomes easier to remember.

Finally, it's important to remember that memorization is not the only way to understand trigonometric identities. Understanding the concepts behind them and being able to apply them in different situations is more important than being able to recite them by memory.

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Answer:

Actually it is not hard. It is just the mentallity or attitude that u have towards it. Stop saying and believing that it is hard........just start doing more practice per topic everyday, 2 to 3 sums a day in a topic that u have not understood will do the trick. And above all, believe in yourself and start seeing yourself as a little math genius and never give up trying.

Step-by-step explanation:

Answer:

Math is hard because it wants us to fail.

Step-by-step explanation:

Also someone says that math stands for Mental Abuse To Humans. So...

∂g/∂u is equal to 21u⁵cos⁴(v)sin⁴(v)(cos(v) + u³cos⁴(v)sin²(v)sin(v)).

To find the indicated derivative, we need to use the chain rule. Let's differentiate step by step:

Given:

g(u, v) = f(x(u, v), y(u, v))

f(x, y) = 7x³y³

x(u, v) = ucos(v)

y(u, v) = usin(v)

To find ∂g/∂u, we differentiate g(u, v) with respect to u while treating v as a constant:

∂g/∂u = (∂f/∂x) * (∂x/∂u) + (∂f/∂y) * (∂y/∂u)

To find ∂f/∂x, we differentiate f(x, y) with respect to x:

∂f/∂x = 21x²y³

To find ∂x/∂u, we differentiate x(u, v) with respect to u:

∂x/∂u = cos(v)

To find ∂f/∂y, we differentiate f(x, y) with respect to y:

∂f/∂y = 21x³y²

To find ∂y/∂u, we differentiate y(u, v) with respect to u:

∂y/∂u = sin(v)

Now, we can substitute these partial derivatives into the equation for ∂g/∂u:

∂g/∂u = (21x²y³) * (cos(v)) + (21x³y²) * (sin(v))

To find the simplified form, we substitute the given values of x(u, v) and y(u, v) into the equation:

x(u, v) = ucos(v) = u * cos(v)

y(u, v) = usin(v) = u * sin(v)

∂g/∂u = (21(u * cos(v))²(u * sin(v))³) * (cos(v)) + (21(u * cos(v))³(u * sin(v))²) * (sin(v))

Simplifying further, we get:

∂g/∂u = 21u⁵cos⁴(v)sin⁴(v)(cos(v) + u³cos⁴(v)sin²(v)sin(v))

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The average velocity of the car for the given time interval is 1.975 m/s.

The equation for the distance x from a stop sign for an electric car in a straight line along a road as a function of time t is given by

x(t) = αt² - βt³

where α = 1.52 m/s² and β = 5.50 × 10⁻² m/s³.

We are required to find the average velocity of the car for the time interval

t = 0 to t² = 3.95 s.

In order to calculate the average velocity of the car for this time interval, we will first calculate the displacement of the car from t = 0 to t² = 3.95 s.

Displacement = Final position - Initial position

x(t = t²) - x(t = 0)

= αt⁴ - βt⁶ - α(0)² + β(0)³

= αt⁴ - βt⁶

The displacement is thus

αt⁴ - βt⁶ = 1.52 × (3.95)⁴ - 5.50 × 10⁻² × (3.95)⁶

= 7.797 m

We can now calculate the average velocity of the car for the given time interval.

Average velocity = Displacement ÷ Time taken

= 7.797 ÷ 3.95

= 1.975 m/s.

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