What is the 8-bit binary (two's-complement) representation of signed decimal integers -16?

An example of an objective function is the greatest value of C.

The maximum value of C is 17

The objective function is given as C = 3x + 2y

The Constraints are,

x ≥ 0

y ≥0

x + 3y ≤ 15

4x + y ≤ 16

Plot the graphs of the constraints

The graph (attached) shows that the only ideal spot is (3,4)

In the goal function, change x and y to 3 and 4, respectively.

So, we have :

C = 3x + 2y

C = 3(3) + 2(4)

C = 9 + 8 = 17

Thus, the maximum value of C is 17.

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Answer:

i d k if its right

Step-by-step explanation:

4 centimeters + 4 centimeters = 8 centimeters = diameter

60 centimeters = height

volume =

Divide the total volume of the metal by the volume of one roid.

Answer:

71 rods

Step-by-step explanation:

first we need to calculate the volume of 1 steel rode

diameter is 4, so radius = 2.

volume of right cylinder/ in our case steel rode = \(\pi r^2h\)

volume = \(\pi (2)^260 = 4\pi 60= 240\pi\)

if the company used 54,259.2 cm of steel, to calculate how many rodes it made, we divide 54,259.2 by 240\(\pi\)

n = 54,259.2/240pi = 71.96 rods, or you can say 71 rods

Answer:

Number 3

Step-by-step explanation:

Divide each side by 4, so -10/4=4x/4

This give -2.5=x.

And since you divided, you used the dividing power oof equality.

So number 3

Using translation concepts, the graph of a translated function of \(y = \sqrt{x}\) is given by:

On a coordinate plane, a curve starts in quadrant 3 and then increases into quadrant 1. It crosses the y-axis at (0, negative 2) and crosses the x-axis at (1.5, 0).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

\(y = \sqrt{x}\) starts at (0,0) and in it's entirety, is in quadrant 1. When it is shifted down and left, it will start on quadrant 3 and increase into quadrant 1, hence the correct option is given by:

On a coordinate plane, a curve starts in quadrant 3 and then increases into quadrant 1. It crosses the y-axis at (0, negative 2) and crosses the x-axis at (1.5, 0).

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Answer:

A

Step-by-step explanation:

I took it

\(\boldsymbol{\sf{3(x-4) > 5x +2 }}\)

Use the distributive property to multiply 3 by x−4.

\(\boldsymbol{\sf{3x-12 > 5x+2 }}\)

Subtract 5x on both sides.

\(\boldsymbol{\sf{3x-12-5x > 2 } }\)

Combine 3x and −5x to get −2x.

\(\boldsymbol{\sf{-2x-12 > 2 }}\)

Add 12 to both sides.

\(\boldsymbol{\sf{-2x > 2+12 \ \longmapsto \ \ [Add \ 2 +12]}}\)

\(\boldsymbol{\sf{-2x > 14}}\)

Divide both sides by −2. Since −2 is < 0, the inequality direction is changed.

\(\boldsymbol{\sf{x < \dfrac{14}{-2} \ \ \longmapsto \ \ \ [Split]}}\)

\(\boxed{\boldsymbol{\sf{x < -7 }}}\)

So in the inequality 3(x-4)>5x +2, the value of x is -7.

ヘ( ^o^)ノ＼(^_^ )If you want to learn more about mathematics, I share this link to complement your learning:

Overall, analyzing the four factors can help determine the validity and generalizability of the results of an observational study: Confounding Variables, Sampling Method, Data Collection Methods, Study Design.

Confounding Variables: Confounding variables are extraneous variables that are related to both the dependent variable and the independent variable, which can lead to a false association between the two. When critiquing an observational study, it is important to analyze whether confounding variables were adequately controlled for. This can be done by examining whether the study design accounted for potential confounders, such as through stratification or matching, or whether statistical techniques were used to adjust for confounding.

Sampling Method: The sampling method used in an observational study can have a significant impact on the generalizability of the results. It is important to analyze whether the study used a representative sample of the population of interest, and whether any biases were present in the sampling method.

Data Collection Methods: The methods used to collect data in an observational study can also impact the validity of the results. When critiquing an observational study, it is important to analyze whether the data collection methods were standardized and reliable, and whether any biases were present in the data collection process.

Study Design: The study design used in an observational study can also affect the validity of the results. When critiquing an observational study, it is important to analyze whether the study design was appropriate for answering the research question of interest, and whether there were any limitations or potential sources of bias in the study design.

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Answer:

from top to bottom:

x = y(v-w)

x = (yv/w)/2

x = (6+w)/v

x = (y-2w)/v

Step-by-step explanation:

The correct Option (B). Succession may be defined as the change in the ecological community of the species with respect to time. Two main types of succession are primary succession and secondary succession.

The living things that accumulate in the succession is from the simple organism to the complex organism. First lichens will evade in the land. After lichens grass then shrubs and finally the trees will cover the area and convert into the forest.

Primary succession occurs in basically dead areas—regions where the soil is incapable of supporting life due to causes such as lava flows, newly created sand dunes, or glacier-left boulders.

Pioneer microorganisms, plants (lichens and mosses), grassy stage, smaller shrubs, and trees are all stages of primary succession. When there is food available, animals begin to return. The climax community stage is reached when the ecosystem is fully functional.

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Full Question :

After a town is abandoned, the concrete parking lots remain empty and inactive for hundreds of years. What is the most likely order of ecological succession in that area?

A.grass → trees → lichens → moss

B.lichens → grass → shrubs → trees

C.lichens → grass → trees → shrubs

D.shrubs → grass → trees → lichens

Answer:The mean of combined group is 71.12 kg

Step-by-step explanation:

Mean of 35 students test score=75.3

Total score of 35 students=mean×test score

=35×75.3

=2635.5

Mean of 26 students test score=65=65.6

Total score of 26 students= 26×65.6

=1705.6

Mean of combined group=(Total score of 35 students+Total score of 26 student ÷Number of total students

=(12635.5+1705.6)÷61

=71.16

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The combined group's average is 71.16.

Given;

If the average test score for one class of 35 students is 75.3 while the average test score for another class of 26 students is 65.6

Mean of 35 student's test scores = 75.3

The total score of 35 students is the mean * test score

=35 * 75.3   =2635.5

Mean of 26 student's test scores = 65.6

The total score of 26 students = 26 * 65.6  =1705.6

Mean of combined group = (Total score of 35 students + Total score of 26 students) / Number of total students

                                          = (12635.5 + 1705.6)  / 61

                                           = 71.16

Hence, the mean of the combined group is 71.16

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The statement ''If the order of the input numbers were altered or if we use a different algorithm, we will always end up with the same combination of numbers as answer.'' is false because the order of the input numbers and the choice of algorithm can indeed affect the resulting combination of numbers that maximizes the sum.

The maximum sum of a continuous subsequence within an array depends on the values and arrangement of the numbers.

Different orders of the input numbers can lead to different maximum sums and different combinations of numbers that achieve those sums.

Similarly, the choice of algorithm can also impact the result. Different algorithms may employ different strategies for finding the maximum sum subsequence, which can yield different combinations of numbers as the optimal solution.

Therefore, it is incorrect to claim that altering the order of input numbers or using a different algorithm will always result in the same combination of numbers as the answer.

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Overall fraction of sold seats is 0.63333...

First we use the fact that 2/3 of the seats are located on the main floor and the number of seats on the main floor is 600, so the total number of seats can be calculated as follows:

Total number of seats = 600 / (2/3) = 900 seats

Next, we can find the number of seats in the balcony:

Balcony seats = Total number of seats - Main floor seats = 900 - 600 = 300 seats

Next, we can find the number of sold floor seats:

Sold floor seats = 4/5 * 600 = 480 seats

And the number of sold balcony seats:

Sold balcony seats = 1/2 * 300 = 150 seats

Finally, to find the overall fraction of sold seats in the theater, we add the number of sold floor seats and the number of sold balcony seats and divide by the total number of seats:

Overall fraction of sold seats = (480 + 150) / 900 = 0.63333... (rounded to the nearest hundredth)

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To determine the exact concentration of the solution made, one can divide the mass of the solute with the volume of the solution.

A solution is the substance formed by the mixture of solute in solvent. The solute may or may not be dissolved in the solution. One can determine the exact concentration of the solution if the mass of solute added in the specific volume of solution is known. If the solution is made by someone else, then its concentration can be determined by process of titration.

The concentration of a solution is expressed in the form of moles or grams per unit liter. If the solution is unknown and only its dissolved chemical is known, then titration will help in determining the closest value of concentration if performed without human error. In titration, the use of glassware that that is more precise than the flasks, beakers, and graduated cylinders are used.

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Refer to complete question below:

How do we determine concentration a solution? If it is a solution that we have made up, we can readily do the calculations required. But what if it is a solution that someone else has made? What technique can be used to gather information about a solution that we are given with no other information than the name of the chemical dissolved.

Answer:

Quotient is \(5(x^2+x+1)\) and remainder is 0.

Step-by-step explanation:

Given: \(\frac{5x^4+5x^2+5}{x^2-x+1}\)

To find: quotient and remainder

Solution:

In the given question,

Dividend = \(5x^4+5x^2+5\)

Divisor = \(x^2-x+1\)

\(\frac{5x^4+5x^2+5}{x^2-x+1}\\=\frac{5(x^4+x^2+1)}{x^2-x+1}\\=\frac{5[x^2(x^2+1)+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+x+1)+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+1)+x^3+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+1)+x(x^2)+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+1)+x(x^2-x+1+x-1)+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+1)+x(x^2-x+1)+(x^2-x+1)]}{x^2-x+1}\\=\frac{5[(x^2-x+1)(x^2+x+1)}{x^2-x+1} \\=5(x^2+x+1)\)

So, quotient is \(5(x^2+x+1)\) and remainder is 0.

Answer:

-1/8

Step-by-step explanation:

5

8

+

3

4

−

2

3

−

5

6

Answer:  -1/8 hope this helps

Answer:

( - 10 , 6 )

Step-by-step explanation:

( \(\frac{x_{1} +x_{2} }{2}\) , \(\frac{y_{1} +y_{2} }{2}\) )

(- 4 + x ) / 2 = - 7 ⇔ - 4 + x = - 14 ⇒ x = - 10

( - 4 + y ) / 2 = 1 ⇔ - 4 + y = 2 ⇒ y = 6

( - 10 , 6 )

Answer:

12x-5

Step-by-step explanation:

15 liquids that can be found in a kitchen include:

15 solids in a kitchen are:

When it comes to solids in the kitchen, we can mostly find either food ingredients, such as salt, flour, and spices, or actual food that can be prepared such as meat, vegetables, and bread.

As for liquids, these can be anything from drinks such as juice, water and wine, to liquids used for cooking such as oil, soy sauce and vinegar.

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Answer:

How many cups does she have and how many does she need to make a batch? I do not think this questions is complete

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

80*120=9600 divided by 100

The reliability of a two-component product if the components are in parallel is 0.99.

In this question,

The probability of failure-free operation of a system with several parallel elements is always higher than that of the best element in the system. Reliability can be increased if the same function is done by two or more elements arranged in parallel.

A system contains two components that are arranged in parallel, they are 0.95 and 0.80.

Therefore the system reliability can be calculated as follows

⇒ 1 - ( 1 - 0.95 ) × ( 1 - 0.80 )

⇒ 1 - (0.05 × 0.20)

⇒ 1 - 0.01

⇒ 0.99

Hence we can conclude that the reliability of a two-component product if the components are in parallel is 0.99.

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We are given the following information

Line AC and EG are perpendicular.

Angle FBC is the complement of the angle ABD.

Angle FBC = (x + 4)°

Angle ABD = (5x - 10)°

We are asked to find the angle EBF.

Recall that when two angles are complementary then they add up to 90°

So we can write

Let us substitute the given values and solve for x.

So the angle FBC is

Since we know that lines AC and EG are perpendicular so the angle FBC and angle EBF must add up to 90°

Therefore, the angle EBF is 70°.

The speed of red light in a diamond, denoted as vred, is approximately equal to the speed of light in a vacuum, c, which is 2.998 × 10^8 m/s, rounded to four significant figures.

According to the principles of optics and the refractive index of a material, the speed of light in a medium is generally lower than its speed in a vacuum. The refractive index of a diamond is approximately 2.42.

To calculate the speed of red light in a diamond, we can use the formula vred = c / n, where c represents the speed of light in a vacuum and n represents the refractive index of the diamond.

Substituting the given values, we have vred = (2.998 × 10^8 m/s) / 2.42. Evaluating this expression yields a result of approximately 1.239 × 10^8 m/s.

Rounding this value to four significant figures, we obtain the speed of red light in a diamond, vred, as approximately 1.239 × 10^8 m/s.

Therefore, the speed of red light in a diamond, rounded to four significant figures, is approximately 1.239 × 10^8 m/s, which is slightly lower than the speed of light in a vacuum, c.

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Answer:

"absolute value function," y = |x|

Step-by-step explanation:

This is the graph of the "absolute value function," y = |x|.

highest is 105F

the lowest is-27F

Answer:

3/5

Step-by-step explanation:

3/5 is equal to 9/15.

\(\implies {\blue {\boxed {\boxed {\purple {\sf { C. \: \frac{3}{5} }}}}}}\)

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)

➺\( \: \frac{9}{15} \)

➺\( \: \frac{3 \times 3}{3 \times 5} \)

➺\( \: \frac{3}{5} \)

The fraction \( \: \frac{9}{15} \) is an equivalent fraction of \( \: \frac{3}{5} \).

\(\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}\)

The probability that exactly 6 are white and 2 are red is equals to 7/15 and the probability that at least 6 of the balls are white is equals to the 8/15.

The probability of a series of dependent of events may be found by finding the probability of each event and combining all the probabilities together. We have a urn which contains total 10 balls.

Number of white balls in urn, W = 7

Number of red balls in urn, R = 3

Now, a sample of 8 balls is selected randomly without replacement. We have to determine the probability that exactly 6 are white and 2 are red.

The number of ways selecting 8 balls among 10 = ¹⁰C₈ = 10!/8!2! = 45

The number of ways selecting 6 white balls among 7 = ⁷C₆ = 7!/6! = 7

The number of ways selecting 2 red balls among 3 = ³C₂ = 3!/2! = 3

Total number of ways selecting exactly 6 white and 2 red balls = 7×3 = 21

So, probability that exactly 6 are white and 2 are red,

= favorable outcomes/total outcomes

= 21/45

= 7/15

b) ‘At least 6 white balls’ selected in 8 balls means 6 white balls and 2 red, or, 7 white balls and 1 red.

Total number of ways selecting at least 6 of the balls are white,

= ⁷C₆ × ³C₂ + ⁷C₇ ³C₁

= 21 + 7!/7! × 3!/2! = 21 + 3 = 24

Probability that at least 6 of the balls are white = 24/45 = 8/15

Hence, required probability is 8/15.

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Answer:

70uv+11u+440v-5491

Step-by-step explanation:

combine the like terms (if this is wrong i apologize, the circles threw me off as multiplication symbols so thats what i did)