Which of the following is the solution set of the
problem?
(-infinity, -3)
(-infinity, -3]
[-3, infinity)
(-3, infinity)

Answer:

4320.43

Step-by-step explanation:

You need to figure out the Pythagorean Theorem and then use that answer to find the area. You will then get 4320.43.

Hope this helps.

Answer:

4320.43

Step-by-step explanation:

Answer:

The CIRCUMCENTER of a triangle is the point in the plane equidistant from the three vertices of the triangle.

A) The new box with dimensions 10cm by 10cm by 3cm holds more cereal.

B) The new box with dimensions 10cm by 10cm by 3cm requires more material to make.

To determine which box holds more cereal, we need to calculate the volume of each box.

The volume of a rectangular box is given by the formula:

Volume = Length × Width × Height

Let's calculate the volumes for both boxes:

Original Box:

Length = 8 cm

Width = 3 cm

Height = 11 cm

Volume = 8 cm × 3 cm × 11 cm = 264 cm³

New Box:

Length = 10 cm

Width = 10 cm

Height = 3 cm

Volume = 10 cm × 10 cm × 3 cm = 300 cm³

A) The new box with dimensions 10cm by 10cm by 3cm holds more cereal because it has a larger volume of 300 cm³ compared to the original box with a volume of 264 cm³.

To determine which box requires more material to make, we need to calculate the surface area of each box.

The surface area of a rectangular box is given by the formula:

Surface Area = 2 × (Length × Width + Length × Height + Width × Height)

Let's calculate the surface areas for both boxes:

Original Box:

Length = 8 cm

Width = 3 cm

Height = 11 cm

Surface Area = 2 × (8 cm × 3 cm + 8 cm × 11 cm + 3 cm × 11 cm) = 374 cm²

New Box:

Length = 10 cm

Width = 10 cm

Height = 3 cm

Surface Area = 2 × (10 cm × 10 cm + 10 cm × 3 cm + 10 cm × 3 cm) = 380 cm²

B) The new box with dimensions 10cm by 10cm by 3cm requires more material to make because it has a larger surface area of 380 cm² compared to the original box with a surface area of 374 cm².

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Answer:

10 months

Step-by-step explanation:

Let x denotes number of months.

Down payment of first TV = $200

Per month payment of first TV = $39.99

Total payment of first TV \(=200+39.99x\)

Down payment of second TV = $0

Per month payment of second TV = $59.99

Total payment of second TV \(=0+59.99x=59.99x\)

To find number of months until the payments are of equal value,

solve \(200+39.99x=59.99x\)

\(200+39.99x=59.99x\\200=59.99x-39.99x\\200=20x\\x=\frac{200}{20}\\ x=10\)

So, payments become of equal value after 10 months.

A. No, because the alternatives are not quantifiable.

B. No, because the alternatives are quantifiable.

C. Yes, because the alternatives are quantifiable.

D. Yes, because the alternatives are not quantifiable.

In decision-making, the quantifiability of alternatives refers to the ability to assign numerical values or measures to different options. Option A states that the alternatives are not quantifiable, suggesting that they cannot be measured or compared using numerical values. On the other hand, option B asserts that the alternatives are quantifiable, indicating that they can be measured and compared using quantifiable criteria.

To determine the correct answer for each scenario, we need to consider the nature of the decision and whether the alternatives involved can be assigned numerical values or measures. For example, when deciding on the paint color for the factory floor or extending cafeteria business hours, the alternatives may involve both quantifiable costs and benefits, making option B the appropriate choice.

However, in scenarios such as hiring a new engineer or changing the work shift, the qualities, qualifications, or effects involved may not be easily quantifiable, leading us to choose options D and C, respectively.

Ultimately, the correct answer depends on the specific context and the extent to which the alternatives can be measured or compared using quantifiable criteria.

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Answer:

3/4 is in it's simplest form

Step-by-step explanation:

3/4 cannot be simplified any more, so it is at it's simplest form

Answer: The number of sets contain any 4 numbers = 210

Step-by-step explanation:

Given: Universal set = {0,1,2,3,4,5,6,7,8,9}.

i.e. Total choices = Numbers in set = 10

By combinations, the number of sets contain any 4 numbers =\(^{10}C_4\)

\(=\dfrac{10!}{4!6!}\ \ \ \ \ [^nC_r=\dfrac{n!}{r!(n-r)!}]\\\\=\dfrac{10\times9\times8\times7\times6!}{4\times3\times2\times1 \times6!}\\\\=210\)

Hence, the number of sets contain any 4 numbers = 210

There are 3,628,800 ways to arrange 12 distinct people in a row so that Dr. Tucker is 3 positions away from Dr. Stanley.

To count the number of arrangements of 12 people with Dr. Tucker and Dr. Stanley positioned 3 apart, we can treat Dr. Tucker and Dr. Stanley as a single block of two people, and then arrange the resulting 11 blocks in a row.

Since Dr. Tucker and Dr. Stanley can occupy any of the 10 possible positions (the first two positions, the second and third, and so on up to the last two positions), there are 10 ways to form this block.

After the block is formed, we are left with 10 remaining people to arrange in the remaining 10 positions. There are 10! ways to arrange these people, so the total number of arrangements is:

10 x 10! = 3,628,800

Therefore, there are 3,628,800 ways to arrange 12 distinct people in a row so that Dr. Tucker is 3 positions away from Dr. Stanley.

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Answer:

4x-y+z=2

Step-by-step explanation:

the answer is simple

The joint probability mass function (PMF) for the random variables x and y can be represented in a table with rows and columns corresponding to the possible values of x and y, respectively.

In this case, x represents the number of heads on the first toss, and y represents the total number of heads over all three tosses. There are two possible outcomes for each coin toss: heads (H) or tails (T). Thus, there are 2^3 = 8 possible outcomes for three coin tosses, which can be listed as follows: HHH, HHT, HTH, THH, HTT, THT, TTH, TTT. For the first toss, there are two possible outcomes: H or T. Thus, x can take on the values x = 0 or x = 1, with probabilities P(x = 0) = 1/2 and P(x = 1) = 1/2.

For the total number of heads over all three tosses, there are four possible outcomes: 0, 1, 2, or 3 heads. The joint probabilities can be calculated by considering the possible outcomes for each value of x. For example, if x = 0 (i.e., the first toss is a tail), then y can only be 0 or 1, depending on the outcomes of the second and third tosses. The probabilities of these outcomes are P(x = 0, y = 0) = 1/8 and P(x = 0, y = 1) = 3/8. The joint probability mass function for x and y can be summarized in a table as follows:

y=0 y=1 y=2 y=3

x=0 1/8 3/8 3/8 1/8

x=1 1/8 3/8 3/8 1/8

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Answer:

34 +x = 42

x = 42- 34

= 8

is the right answer

Answer:

8

For this problem, subtract 34 from 42.

42 - 34 = 8.

You get the number 8.

It will be your answer. Hope this helps!

Answer:

sss similarities

Step-by-step explanation:

!!!!!!!!!!÷

Answer:

x=15

Step-by-step explanation:

5x= 75 (divide)

75/5= 15

Answer: There is only one step to solve this equation; we use inverse operations to isolate the x by dividing 5 on both sides. We divide because 5 is being multiplied by x, and the inverse operation for multiplication is division.

5x/5 = x

75/5 = 15

The equation now looks like:

x = 15

x is equal to 15. This is your answer.

Answer:

to the power of 80 is 8.944 ÷5 is 1.788

Answer:

y = 1/4x - 2

Step-by-step explanation:

I hope this helps :)

Answer:

y = 1/4x - 2

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Slope m = 1/4

y-intercept b = -2

Step 2: Plug into formula

y = 1/4x - 2

Answer:

12

Step-by-step explanation:

6+2x=3x

6=x

ST=2x

ST=12

a) The length of the wire in the square is 12.8 cm. b) If the wire is silver and costs #50 per centimeter, the cost of the square is #640. c) To make a necklace with twenty of these squares, it would cost #12,800.

a) The perimeter of a square is equal to four times the length of its side. Since the side of the square is 3.2 cm, the length of the wire in the square would be 4 * 3.2 cm = 12.8 cm.

b) If the wire is made of silver and costs #50 per centimeter, the cost of the square can be calculated by multiplying the length of the wire (12.8 cm) by the cost per centimeter (#50). Therefore, the cost of the square is 12.8 cm * #50/cm = #640.

c) To make a necklace with twenty of these squares, we need to multiply the cost of one square (#640) by the number of squares (20). Therefore, the cost of making the necklace would be #640 * 20 = #12,800.

Hence, the cost to make the necklace would be #12,800.

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Refer to the attachment for figure:

The height of the rectangle = 11 inches

What is rectangle?

A rectangle is a type of quadrilateral with parallel sides equal to each other and four equal 90-degree vertices. Because of this, it is also known as an equiangular quadrilateral. Because the opposite sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.

Let x= height

Width becomes x+49

Diagonal BD=61 inches

By pythagoras theorem,

BD²=BC²+CD²

61²= (x+49)²+x²

3721=x²+98x+2401+x²

On simplification,

x²+49x-660=0

Find the factors

(x+60)(x-11)=0

x=-60, x=11

Consider positive value for height

height = 11 inches

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The relationship between significant digits and calculations is; Significant figures are an important part of scientific and mathematical calculations and measurements, because it deals with the accuracy and precision of numbers

Precision refers to how closely individual measurements agree with each other. In any measurement, the number of significant figures is critical. The number of significant figures is the number of digits believed to be correct by the person doing the measuring. It includes one estimated digit.

Significant figures are an important part of scientific and mathematical calculations and measurements, because it deals with the accuracy and precision of numbers. It is important to estimate uncertainty in the final result, and this is where significant figures become very important.

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The green lines would be the reflected and translated figure

Answer:

124.74

Step-by-step explanation:

41.58✖️3＝124.74

Sentence Set A: Argument with conclusion "Have you no common decency?" Sentence Set B: Not an argument. Sentence Set C: Argument with conclusion "Dr. Sullivan, how could you possibly suggest giving my husband a painful cancer treatment when he has only two weeks to live?" Sentence Set D: Not an argument.

Sentence Set A is an argument because it presents a series of statements aimed at persuading or challenging someone's behavior. The first two sentences express the speaker's emotional response to the way they are being spoken to and the potential hurt caused by it.

The final sentence, "Have you no common decency?" serves as the conclusion of the argument, implying that the person being addressed should consider their actions and exhibit basic manners.

Sentence Set B, on the other hand, does not form an argument.

While it discusses the speaker's frustration with outdated reference materials at the library and proposes an alternative solution of doing research online, it lacks a clear claim or conclusion that presents a logical appeal or challenge to persuade others.

In Sentence Set C, an argument is made against Dr. Sullivan's suggestion of a painful cancer treatment for the speaker's husband. The statements express concerns about the potential lack of success of the treatment and the additional suffering it may cause during the final two weeks of the husband's life.

The conclusion is formed by the initial question: "Dr. Sullivan, how could you possibly suggest giving my husband a painful cancer treatment when he has only two weeks to live?"

Sentence Set D does not constitute an argument as it involves an expression of surprise and disappointment regarding someone's math skills, but it lacks a clear claim or conclusion that presents a logical challenge or persuasive appeal.

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The complete question is:

Sentence Set A:

S1: Don't ever speak to me like that again.

S2: Don't you know how much it hurts my feelings when you talk to me like that?

S3: Have you no common decency?

Sentence Set B:

S1: I'm so tired of having to go to the library to do my research.

S2: Can you believe that half of the reference materials I found there last time were outdated?S3: Let's just tear down the library and do our research online from now on.

Sentence Set C:

S1: Dr. Sullivan, how could you possibly suggest giving my husband a painful cancer treatment when he has only two weeks to live?

S2: What if the treatment isn't successful?

S3: Would you want your spouse to suffer even more during her final two weeks?

Sentence Set D:

S1: How could you possibly have got x = 5 as your answer?

S2: Didn't you see that y = 47?

S3: I have never seen such sloppy math in my entire life.

Which of the sentence sets are arguments? If applicable, what is the conclusion of each argument?

Answer:

3 1/2 cups of flour

Step-by-step explanation:

Since 6 times full is the 3 because 6÷2 is 3. Then the extra half.

Answer:

3 1/2 cups of flour

Step-by-step explanation:

after one year he will owe the bank 82,000.00

Answer:

I only see one raffle, but the expected value of one ticket is $2. (I think)

Step-by-step explanation:

Have a nice day!

The expected value E(x) of 1 ticket is $0.40.

To calculate the total amount by the formula;

Amount = Ticket x Value

Raffle 1

Given;

Tickets  = 800

Value = $2 per ticket

Grand ticket = $450 ...for 1

consolation =$100.. for 2

We need to find the expected value of each ticket;

First, we have to calculate the total amount of the 800 tickets

Amount = Ticket x Value

Amount = 800 x 2

Amount = 1600

Next, we have to calculate the total amount of the prizes

Amount = Ticket x Value

Amount = 450 x 200

Amount = 650

The expected value E(x) of 1 ticket is calculated:

E(x) = 650 / 1600

E(x) = $0.40

Thus, the expected value E(x) of 1 ticket is $0.40.

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\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{-6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-6}-\stackrel{y1}{(-4)}}}{\underset{run} {\underset{x_2}{-4}-\underset{x_1}{(-3)}}} \implies \cfrac{-6 +4}{-4 +3} \implies \cfrac{ -2 }{ -1 } \implies 2\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{ 2}(x-\stackrel{x_1}{(-3)}) \implies y +4 = 2 ( x +3) \\\\\\ y+4=2x+6\implies {\Large \begin{array}{llll} y=2x+2 \end{array}}\)

Answer:

(12)^2=(n+1)^2

12=n+1

12-1=n

n=11

Step-by-step explanation:

another one

(12)^2-(n+1)^2=0

(12-n-1)(12+n+1)=0

either:-

n=11 or n=-13

\(~~~(n+1)^2 =144\\\\\implies n+1= \pm\sqrt{144}\\\\\implies n+1 = \pm12\\\\\implies n = \pm12 -1\\\\\text{Hence,}~ n = 11 ~\text{and}~ n = -13\)

Answer:

$1654.20

Step-by-step explanation:

There are 12 months in a year. There are 36 months in 3 years. If he gets charged $45.95 each month for 3 years or 36 months, he pays:

$45.95×36=

$1654.20 for three years.

Answer:

32/55

Step-by-step explanation:

You have to get the total number of boats first :

15 + 32 + 8 = 55

out of the 55 boats, 32 are sailboats

the fraction would be :

32/55

Hope this helps :)