part a: the line of best fit for this data is y = 5.3x + 23 . use this equation to make a conjecture about the temperature of the water in the beaker if heated for 6 minutes. explain your thinking.

Answer:

8 pounds

Step-by-step explanation:

20 / 5 = 4

4 * 2 = 8

Brainly pls :))

(a) The firm's output supply function is given by q = (p + 199) / 2.

(b) The market-equilibrium price is $32.56, and the equilibrium number of firms is 10.

(c) Each firm sells 70 computers in the long run.

(39 - 0.009q) = (2q - 2) / q

Simplifying the equation, we find:

q = (p + 199) / 2

This represents the firm's output supply function.

p = 39 - 0.009((p + 199) / 2)

Simplifying and solving for p, we get:

p ≈ $32.56

Substituting this price back into the output supply function, we find:

q = (32.56 + 199) / 2 ≈ 115.78

Given that each firm produces 70 computers in the long run, we can calculate the equilibrium number of firms:

Number of firms = q / 70 ≈ 10

70 * 10 = 700

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Answer:

No

Step-by-step explanation:

Answer: no

Step-by-step explanation:

Typically you can test if lines are perpendicular. You would test if the slopes are opposite signed and reciprocals(flipped)

You don't need to test, you can see the lines do not look perpendicular

They would form right angles, or squared angles, like the corner of a paper.

so answer is no

If two events, event A with probability P(A) and event b with probability P(B) are complementary events then the sum of the probability of events A and B will be one.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

When one event happens if and only if the other one doesn't, two occurrences are said to be complimentary. The odds of two complementary events equal one.

P(A) + P'(A) = 1

The chance of events A and B added together will equal one if events A with probability P(A) and event B with probability P(B) are complementary occurrences.

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Answer:

35

Step-by-step explanation:

i pretty sure

Hey again!

The answer to your question is 122.5 feet²

We can find the dimensions of the new figure:

2 x 3.5 = 7

5 x 3.5 = 17.5

Area = length x width, so 7 x 17.5 = 122.5

Hope it helps!

Answer:

50

Step-by-step explanation:

180-130=50

Answer:

105

Step-by-step explanation:

The value is 3.59

Given: The data of the three areas are given in the table.

Now we need to find the mean(μ), standard deviation(σ) and standard error(σμ) for the 3 different areas

Therefore,

Area 1 : mean(μ) = 12.75 , standard deviation(σ) = 4.9497 , standard error(σμ) = 1.75

Area 2 : mean(μ) = 18.25, standard deviation(σ) = 4.3671,  standard error(σμ) = 1.544

Area 3 : mean(μ) = 16.25, standard deviation(σ) = 2.8660, standard error(σμ) = 1.0133

(The formulas used and the tables are attached below)

The value of the test statistic to test for a difference in the areas is

3.59 ( by using the anova table that is attached with the answer )

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Disclaimer: The given question is incomplete. The complete question is mentioned below (The table is attached with the question. The necessary details are taken from the table)

A steel company is considering the relocation of one its manufacturing plants. The company's executives have selected four areas that they believe are suitable locations. However, they want to determine if the average wages are significantly different in any of the locations, since this could have a major impact on the cost of production. A survey of hourly wages of similar workers in each of the four areas is performed with the following results. Do the data indicate a significant difference among the average hourly wages in the three areas? (The table for the question is attached)

The effective interest on £2000 at a 3% interest rate compounded quarterly over a period of 4 years is approximately £245.15.

To calculate the effective interest, we need to use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = the future value of the investment (including interest)

P = the principal amount (initial investment)

r = the annual interest rate (as a decimal)

n = the number of compounding periods per year

t = the number of years

In this case, the principal amount (P) is £2000, the annual interest rate (r) is 3% (or 0.03 as a decimal), the compounding is done quarterly (n = 4), and the investment period (t) is 4 years.

Plugging the values into the formula:

A = £2000(1 + 0.03/4)^(4*4)

= £2000(1 + 0.0075)^16

= £2000(1.0075)^16

≈ £2000(1.126825)

Calculating the future value:

A ≈ £2253.65

To find the effective interest, we subtract the principal amount from the future value:

Effective Interest = £2253.65 - £2000

≈ £253.65

Therefore, the effective interest on £2000 at a 3% interest rate compounded quarterly after 4 years is approximately £253.65.

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Program State Model describes a precise mathematical description of the semantics of an executing program.

This model is used to illustrate how the program executes and to determine its behavior. It is composed of three components: states, transitions, and actions. A program state is a snapshot of the program's state at a particular point in its execution. It includes the values of variables and other resources. Transitions are the changes that occur between states, and are caused by the execution of instructions. Finally, actions are the operations that are performed by the program as it transitions from one state to the next. All of these components together provide a mathematical model for understanding the behavior of a program.

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A. Commutative property of addition

B. Distributive property

C. Commutative property of addition

D. Associative property of multiplication

the amount of juice left in Luna's glass is 1/2.

We have been given that Luna mixes 3/4 cup of orange juice with 3/8 cup of cranberry juice.

First of all, let us find the total amount of juice Luna had by adding the amount of orange juice to amount of cranberry juice.

Total amount of juice Luna had = 3/4 + 3/8

                                                 = 9/8

Since Luna gave 5/8 cup of juice to Mags, so let us subtract amount of juice given to Mags from the total amount of juice to find the amount of juice left in Luna's glass.

Hence, Amount of juice left in Luma glass is,

= 9/8 - 5/8

= 4/8

= 1/2

Therefore, the amount of juice left in Luna's glass is 1/2.

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The number of pages read in 72 minutes is 144 pages.

When given a table of values, the relationship between the values ​​is often expressed as a rule or an equation. A formula that links the number of pages in a book to the number of minutes it takes to read it is often used in book reviews or book reports.  

Rule relating to the minutes, x, to the number of pages, y

Let us assume that reading x minutes corresponds to y pages. In other words, we want to identify an equation or formula that links the two variables.

The number of pages read in one minute is calculated by dividing the total number of pages by the total time it takes to read them.

y / x = k, where k is the constant of variation, or the number of pages that can be read in one minute. If the number of pages is directly proportional to the number of minutes, then the k value remains constant.

If we solve for y, we get the following:

y = kx

When the minutes equal 72, we will find the number of pages.

We know that k is a constant, so we may use any of the given (x, y) pairs.

The given minute value is x, and we want to find the corresponding page value, y.

Let us assume that 120 pages can be read in 60 minutes.

We may solve for k using this information:120 / 60 = k2 = k

Now that we know k, we may use the equation to determine the number of pages that can be read in 72 minutes:

y = kx

y = 2 * 72y = 144

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Answer:

there is no table below, you have to add a picture

Step-by-step explanation:

Answer:

The area of the triangle is equal to half of the base times the height: A = b x h x 1/2 You could find the area of a triangle with base length of 4 inches and height of 3 inches as follows: A = 4 inches x 3 inches x 1/2 = 6 square inches

Step-by-step explanation:

The corresponding height is the length of a perpendicular segment from the base to the vertex opposite of it. The opposite vertex is the vertex that is not an endpoint of the base.

Answer:

- 14

Step-by-step explanation:

substitute x = - 5 into the expression

x² + 6x - 9

= (- 5)² + 6(- 5) - 9

= 25 - 30 - 9

= - 5 - 9

= - 14

Answer:

-14

Step-by-step explanation:

Step 1: Substitute x = -5

\(\displaystyle{x^2+6x-9\to (-5)^2+6(-5)-9}\)

Step 2: Evaluate

Keep in mind that negative times negative is positive and positive times negative is negative.

\(\displaystyle{=(-5)(-5)+6(-5)-9}\\\\\displaystyle{=25-30-9}\\\\\displaystyle{=-14}\)

Please let me know if you have any questions!

Answer: I think its 5.423 × 10 ^11

Step-by-step explanation:

0 is the probability of getting a 10

Probability is the likelihood of a desired event happening.

Theoretical probability is the theory behind probability. To find the probability of an event, an experiment is not required. Instead, we should know about the situation to find the probability of an event occurring.

Theoretical Probability = Number of favorable outcomes / Number of possible outcomes.

Given the: likely outcomes is {1, 2, 3, 4, 5, 6}

Since 10 is not one of the likely outcomes. This means the number of favorable outcomes for 10 is 0. Thus:

Probability (of getting a 10) = 0/6 = 0

Therefore, the probability of getting a 10 is 0

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Todd use to save $500 in less than 16 weeks and have $20 extra in Plan C.

In plan A,

    Plans for saving = $500

  Amount of saving each week = $20

∴ Number of weeks needed to make goal = (500 ÷ 20) (by using division)

                                                                       = 25

In plan B,

    Plans for saving = $500

   Amount of saving each week = $30

∴ Number of weeks needed to make goal = (500 ÷ 30) (by using division)

                                                                       = 17

In plan C,

    Plans for saving = $500

   Amount of saving each week = $40

∴ Number of weeks needed to make goal = (500 ÷ 40) (by using division)

                                                                       = 13

In plan D,

    Plans for saving = $500

   Amount of saving each week = $50

∴ Number of weeks needed to make goal = (500 ÷ 50) (by using division)

                                                                       = 10

So, Todd use to save $500 in less than 16 weeks and have $20 extra in Plan C.

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Simplifying this expression, we have:

There were 20 questions on the quiz.

Let's start by using algebra to solve the problem.

Let x be the total number of questions on the quiz.

If Jianna got 87.5% of the questions correct, then she got 0.875x questions

correct.

We also know that Jianna got 17.5 questions correct.

So we can set up the equation:

0.875x = 17.5

To solve for x, we can divide both sides by 0.875:

x = 20

Therefore, there were 20 questions on the quiz.

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Let's take this problem step-by-step:

Let's first set up some variables:

Let's examine the information given:

          ⇒ average child is 75 pounds

          ⇒ average adult is 150 pounds

                 ⇒ therefore: \(75c + 150a\leq 1500\)

          ⇒ therefore: \(c + a \leq 14\)

Let's graph the equations:

 \(75c+150a\leq 1500\\c+a\leq 14\)

    ⇒ look at the image attached

The point at which the two graphs intersect:

  ⇒ is the solution that represents the amount of children and adults and

      their combine weight

With the horizontal axis being the # of children and vertical axis being the # of adults:

 ⇒ the solution is 8 children and 6 adults

Answer: 8 children and 6 adults

Hope that helped!

The solution of the system of equations. -2x-y=6 over -2x+8y=-39 is the ordered pair (-0.5, -5).

In order to to graph the solution to the given system of equations on a coordinate plane, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection;

-2x-y=6     ......equation 1.

-2x+8y=-39  ......equation 2.

In this exercise, we would use an online graphing calculator to plot the given system of equations as shown in the graph attached below.

Based on the graph shown in the image attached below, we can logically deduce that the solution to this system of equations is the point of intersection of the lines on the graph representing each of them, which is given by the ordered pair (-0.5, -5).

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Answer:

The answer is 11/24r - 8.

Step-by-step explanation:

Please give brainliest

The value of the side x is 8cm

Note that the different trigonometric identities are;

From the information shown in the diagram, we have that;

The angle, theta = 60 degrees

the Hypotenuse side = xcm

the adjacent side = 4cm

Using the cosine identity, written as;

cos θ  = adjacent/hypotenuse

cos 60 = 4/x

cross multiply

x = 8cm

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The correct set of possible results would be (0, 1, 0, 0), (1, 2, 1, 0) and (1, 2, 0, 1).

Your approach seems to be correct, but there seems to be a minor mistake in your final list of possible solutions. Let's go through the steps to clarify.

Given the initial conditions z=t=0, you obtained a partial solution (0,1,0,0).

Next, you solved the homogeneous equations for z=1 and t=0, which resulted in a solution (1,1,1,0).

Similarly, solving the homogeneous equations for z=0 and t=1 gives another solution (1,1,0,1).

To find the general solution, you combine the partial solution with the solutions obtained in the previous step, using parameters a and b.

(0,1,0,0) + a(1,1,1,0) + b(1,1,0,1)

Expanding this expression, you get:

(0+a+b, 1+a+b, 0+a, 0+b)

Simplifying, you obtain the following set of solutions:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Therefore, the correct set of possible results would be:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Note that (0, 1, 1, 1) is not a valid solution in this case, as it does not satisfy the initial condition z = 0.

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Answer:54

Step-by-step explanation: You simply minus $66 from $120. I am fairly sure that i am right. If my answer is wrong, then please forgive me.