A company makes a profit of $50 per software program and $35 per video game. The company can produce at most 200 software programs and at most 300 video games per week. Total production cannot exceed 425 items per week. How many items of each kind should be produced per week in order to maximize the profit? Use linear programming to solve. Show all your work.

Answer:

Step-by-step explanation:

c.

y= 30x² +44x +16

factor

y= 2 (15x² +22x +8)

find zeros

15x²+22x+8=0

ax²+bx+c=0

x= (-b±√(b²-4ac))/2a

x= -22±√484-480/30 = -22±2/30 = -11±1/15

there are 2 zeros x= -10/15 ; x= -12/15

d.

y= 10x² +60x +80

factor

y= 10(x²+6x+8) = 10( x+2)(x+4)

finding zeros

x+2 =0 so x= -2

x+4 =0 so x= -4

there are 2 zeros x= -2; x= -4

When using statistics in a speech, you should usually cite exact numbers rather than rounding off. The correct option among the following statement is: b. cite exact numbers rather than rounding off. When citing the statistics, you should cite exact numbers rather than rounding off.

Statistics is the practice or science of gathering, analyzing, interpreting, and presenting data. It is a mathematical science that examines, identifies, and explains quantitative data. In many areas of science, business, and government, statistics play a significant role. The information collected from statistics is used to make better choices based on data that may be trustworthy, precise, and valid.The Role of Statistics in a Speech Statistics is an important tool for speakers to use in a presentation. They can be used to make the speaker's point clear and to convey his or her message. To be effective, statistics should be used correctly and ethically.

The following guidelines should be followed when using statistics in a speech: State your sources. It is important to let the audience know where the statistics came from. You should cite your sources and explain why you used them. If you gathered the data yourself, explain how you did it.Make sure your statistics are accurate. Check the numbers to ensure that they are accurate. If possible, use data from a reliable source. When using numbers, be specific. Don't round them off or use approximations.Don't use too many statistics. Too many statistics can be difficult to understand. Use statistics that are relevant to your topic. Use examples to help your audience better understand the statistics.

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Proper usage of statistics in a speech should include citing exact numbers, not overloading with too many stats, making clear the source, keeping a steady speaking rate, and not manipulating data to suit the argument. Providing anecdotal examples can also help audience better understand the statistical facts.

When using statistics in a speech, the best practices include citing exact numbers rather than rounding off, ensuring not to overload the speech with too many statistics, and being transparent about the source of the statistics. It's not ethical or professional to manipulate statistics to make your point. Instead, present them honestly to build trust with your audience. It's also important to keep the pacing of your speech consistent and not rush when presenting statistics.

In explaining a complex idea like a statistical result, providing an anecdotal example can be effective. This brings the statistic to life and makes it more relatable for the audience. However, when a source is cited, or a direct quotation is being employed, it's best to adhere to a recognized citation style like APA to maintain a professional standard.

Remember, the key to using statistics effectively in your speech is to portray them honestly, ensure they support your argument, and presented in a way that your audience can easily understand.

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Answer:

x = 3

Step-by-step explanation:

since they are similar use these ratios

x/9 = 1/3

do cross multiplication

9*1 = 3*x

9/3 = x

3 = x

Answer:

$7

Step-by-step explanation:

25x4=100

156-100=56

56/4=14

14 spent on earrings each earring was $7

If Four friends each brought matching necklaces and two pairs of earrings. The necklaces were priced at $25.00.If the total bill for all 4 friends was $156.00. Then 28 is the price of one pair of earrings

Two or more expressions with an Equal sign is called as Equation.

Based on the conditions formulate

Four friends each brought matching necklaces

Cost of each necklace is 25

25x4=100

So for four necklaces it is 100.

Now with remaining amount they purchased two pairs of ear rings

156-100=56

With 56 they purchased earrings

56/2=28

Cost of one pair of ear rings is 28.

Hence price of one pair of ear ring is 28

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Answer:

Yeah

Step-by-step explanation:

As long as it's less than 180

Answer:

480

Step-by-step explanation:

5x8 = 40

40 x 12 =

480

Answer: 480\(yd^3\)

1. Area of triangle: \(\frac{1}{2}\)bh => \(\frac{1}{2}\)(10)(8) => 40\(yd^2\)

2. Area of triangle x width => (40)(12) => 480\(yd^3\)

Answer:

1,205

Step-by-step explanation:

Take 810, and divide by 2, getting 405

Add 810 and 405

810 + 405 = 1,205

Answer:

1215

Step-by-step explanation:

50 over 100 × 810 over 1

cross out one 0 in 100 and the 0 in 810.

then turn the 50 into 5 and the 10 into 1.

5x81=405

810+405+1215

pls mark me brainliest

Answer:

180 degrees

Step-by-step explanation:

the sum of angles in a triangle is 180degrees

Step-by-step explanation:

10x+1=12x-5

1+5=12x-10x

6=2x

6/2=2x/2

3=x

Answer:

Amount Dan has = $17

Amount Ann has = $27

Amount Pablo has = $34

Step-by-step explanation:

Total amount they have = $78

Let

Amount Dan has = x

Amount Ann has = x + 10

Amount Pablo has = 2x

Total = Dan + Ann + Pablo

78 = x + (x + 10) + 2x

78 = x + x + 10 + 2x

78 = 4x + 10

78 - 10 = 4x

68 = 4x

x = 68/4

x = 17

Amount Dan has = x = $17

Amount Ann has = x + 10

= 17 + 10

= $27

Amount Pablo has = 2x

= 2(17)

= $34

Answer is 136 degrees

This is because there is 180 degrees in a line and 180-44 is 136.

Answer:e=8/7=1.143

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    4*e-5+2*e-(e+3-2*e)=0

Add  8  to both sides of the equation :

                     7e = 8

Divide both sides of the equation by 7:

                    e = 8/7 = 1.143

And then you get

Divide both sides of the equation by 7:

                    e = 8/7 = 1.143

Answer:

                   4*e-5+2*e-(e+3-2*e)=0

Add  8  to both sides of the equation :

                    7e = 8

Divide both sides of the equation by 7:

                   e = 8/7 = 1.143

And then you get

Divide both sides of the equation by 7:

                   e = 8/7 = 1.143

Step-by-step explanation:

Answer:

x = 50

Step-by-step explanation:

\(\log _{10}\left(x\right)=\log _{10}\left(2x^2\right)-2\)

\(\log _{10}\left(x\right)=\log _{10}\left(2x^2\right)-\log _{10}\left(100\right)\)

\(\log _{10}\left(x\right)=\log _{10}\left(\frac{2x^2}{100} \right)\)

\(x = \frac{2x^2}{100}\)

\(100x=2x^2\)

\(x^2 = 50x\)

\(x = 50\)

when we reflect a point (p, q) over the y-axis the y-coordinate stays the same but the x-coordinate changes signs so the image is (-p, q).

Reflect a point

A reflection point occurs when a figure is constructed around a single point known as the point of reflection or center of the figure.

coordinates

it is usually a pair of numbers: the first number shows the distance along, and the second number shows the distance up or down.

image of point

The  image of the point about the line y=x can be obtained by interchanging the x-coordinate and y-coordinate of the point.

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Answer:

97

Step-by-step explanation:

exterior angle property of triangle

64+33 equals 97

in other ways

By Angle sum property of triangle, the measure of 3rd angle is 83 and

angle 1 and 3rd angle are supplementary

so,

180 - 83 = 97

To calculate the real GDP in 2020 using 2020 as the base year, we need to multiply the quantities produced in 2020 by the prices in 2020.

From the table, we can see that in 2020, the quantity of cameras produced is 20, the quantity of legal services is 100, and the quantity of books is 150.

The corresponding prices for cameras, legal services, and books in 2020 are $50, $200, and $10 respectively.

To calculate the real GDP, we multiply the quantities produced by their corresponding prices:

Real GDP = (Quantity of cameras in 2020 * Price of cameras in 2020) + (Quantity of legal services in 2020 * Price of legal services in 2020) + (Quantity of books in 2020 * Price of books in 2020)

Real GDP = (20 * $50) + (100 * $200) + (150 * $10)

Simplifying the equation:

Real GDP = $1000 + $20,000 + $1500

Real GDP = $22,500

Therefore, the real GDP in 2020, using 2020 as the base year, is $22,500.

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The path such that (0)=(0,−13,16) and ′()=(t, e^t, t^2) is r(t) = (t^2/2, e^t - 14, t^3/3 + 16)

To find the path given the initial point (0, -13, 16) and the derivative vector (t, e^t, t^2), we can integrate each component of the derivative vector with respect to the parameter t.

Integrating the first component:

x(t) = ∫ t dt = t^2/2 + C1

Integrating the second component:

y(t) = ∫ e^t dt = e^t + C2

Integrating the third component:

z(t) = ∫ t^2 dt = t^3/3 + C3

We can determine the values of the constants C1, C2, and C3 by substituting the parameter t = 0 into the expressions for each component:

x(0) = (0)^2/2 + C1 = 0 + C1 = 0

y(0) = e^0 + C2 = 1 + C2 = -13

z(0) = (0)^3/3 + C3 = 0 + C3 = 16

From the given initial point, we have:

C1 = 0, C2 = -14, C3 = 16

Thus, the path is given by the vector function:

r(t) = (t^2/2, e^t - 14, t^3/3 + 16)

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Answer:

−

-11

Step-by-step explanation:

Answer:

AB = ½XZ. XZ = 5*2=10. (The middle line of the triangle)

AC = ½YZ. YZ = 7*2=14. The middle line of the triangle)

XY+YZ+XZ=P. P=110+14+24.P=48

Step-by-step explanation:

Answer: 5 is a factor of 15.

15 is a multiple of 3.

Step-by-step explanation:

A Factor, is a number that can divide another number without a remainder. For example, 5 is a factor of 15 ad it can divide 15 evenly.

A multiple is simply a times table. For example, the multiples of 3 are 3, 6, 9, 12, 15, 18, 21 ......

Therefore, the correct option from the answers given are:

5 is a factor of 15.

15 is a multiple of 3.

The decision is to not reject the null hypothesis since the test statistic does not fall in the rejection region.

a. The decision rule at a 0.01 significance level is to reject the null hypothesis if the test statistic is less than -2.896 or greater than 2.896.

b. The value of the test statistic is calculated using the formula: test statistic = (sample mean - hypothesized mean) / (sample standard deviation / √n) = (437 - 430) / (8 / √9) = 3.375.

c. Since the test statistic (3.375) does not fall in the rejection region (-2.896 to 2.896), we do not reject the null hypothesis. Therefore, there is not enough evidence to conclude that the population mean is different from 430 at a 0.01 significance level.

In this scenario, the test statistic is calculated based on the provided sample mean, sample standard deviation, and hypothesized mean. By comparing the test statistic to the critical values determined by the significance level, we can make a decision regarding the null hypothesis. In this case, the test statistic falls within the non-rejection region, indicating that we do not have sufficient evidence to reject the null hypothesis.

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The null hypothesis for the data will be 21.62 and the alternate hypothesis is 2.02 for the p-value for the data is 0.2253 .

The charge at which anything happens is referred to as the velocity at which it happens.

The required details for mean rate :

(a) H0: µ = 21.62

Ha: µ ≠ 21.62

(b) t = -1.231

p-value = 0.2253

(c) Stop rejecting H0 right now. No longer significantly different from the domestic water tariff in Tulsa, the suggested household water charge per five CCF for the entire USA.

(d) H0: µ = 21.62

Ha: µ ≠ 21.62

t = -1.231

check statistic ≥ 2.020

Don't dismiss H0 any longer. The suggested five CCF residential water charge for the entirety of the USA is no longer significantly different from the five CCF residential water tariff in Tulsa.

The P-value is higher at 0.05, the level of significance. The impact in this instance is negligible. The attempt to reject the null hypothesis failed.

The conclusion is that there is insufficient statistical support to determine whether other American cities have a different mortality rate than Tulsa.

The crucial values for t at this level of significance are t=2.019.

Given that the statistic t = -1.15 is inside the acceptance range in this case, the null hypothesis is not disproved.

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Answer:

For number 15.) the area of the circle is 1,017.4

Step-by-step explanation:

To find the area of a circle using the radius the equation has to be

3.14 x Radius to the power of 2

so in this case it was 18 x 18=324

Then you multiple 324 with pie which is 3.14

324x3.14=1,017.4 rounded to the tenth

I hope this helps :))

use khan academy too their videos help a lot for me :)

Answer:what goes around comes around

Step-by-step explanation:"i need points thanks"

Given that;

Line a and b are two straight lines cut by two transversal lines l and m.

The tranversal line l shows that;

But also;

Thus,

Then, if two lines are cut by a transversal so the corresponding angles are congruent, then the lines are parallel.

Thus, line l is parallel to m

Answer:

1/15

Step-by-step explanation:

Answer:

U' (5, 1 )

Step-by-step explanation:

under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

U (5, - 1 ) → U' (5, - (- 1) ) → U' (5, 1 )

The labor productivity of this manufacturing process in terms of dollars per labor hour is $73.47.

To find the labor productivity of this manufacturing process in terms of dollars per labor hour, we need to calculate the total revenue from the tuxedos and divide it by the total number of labor hours.

Total revenue from tuxedos = 96 tuxedos * $225 per tuxedo

                                               = $21,600

Total number of labor hours = 7 employees * 42 hours per employee

                                               = 294 labor hours

Labor productivity = Total revenue / Total number of labor hours

                               = $21,600 / 294 labor hours

                               = $73.47 per labor hour

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