Lines L and M are parallel, find M<7

Answer:

For part A, you could decompse the figure into a rectangle and two triangles.

for Part B, its the first one.

Step-by-step explanation:

If you split up the figure into two parts then you will get 2 triangles and a rectangle. The area of 1 triangle is

A=1/2xbh

but there are two triangles so it would be 2(1/2x bh).

you can then multiply tht by the areaof the rectangle and get

2(1/2x12*5)+(16*12)

It is important for scientists to use all of their results because selective reporting can lead to biased or incomplete conclusions. Including all results helps ensure objectivity and transparency in scientific findings.

When the evidence neither supports nor contradicts the hypothesis, it is crucial for scientists to acknowledge and report this outcome. It indicates the need for further investigation and can contribute to the accumulation of knowledge. Scientists should explore alternative explanations, refine their hypotheses, or modify their experimental approaches to gain a deeper understanding of the phenomenon.

Scientists repeating each other's experiments serves as a vital aspect of the scientific process called replication. Replication helps validate or challenge previous findings, ensures the reliability of results, and identifies any potential errors or biases. It enhances the overall credibility and robustness of scientific knowledge by promoting consensus and reducing the likelihood of false or misleading conclusions.

Regarding whether there is any scientific knowledge that it would be better not to have, it is a complex question. Generally, scientific knowledge empowers humanity by expanding our understanding of the world and driving progress. However, ethical considerations may arise in certain areas, such as knowledge that could be weaponized or have harmful consequences if misused. Responsible dissemination and application of scientific knowledge, along with ethical frameworks, help ensure the benefits outweigh the potential risks.

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Answer: THE ANSWER TO YOUR QUESTION IS "ONE WOULD EXPECT THE DEPENDENT VARIABLE TO INCREASE!

a) Sample space: {1,2,3,4,5,6} for the first toss of the die. If the result is even, then another toss is made, resulting in the sample space {2,4,6} for the second toss. If the first toss is odd, a coin is tossed, resulting in the sample space {H, T} for the coin toss.

b) Each outcome in the sample space has an equal probability of 1/6, except for the outcomes in {2,4,6}, which have a probability of 1/18 for the second toss.

c) P(a) = P(H) = 1/6, P(b) = 1/2.

d) ac: {5H}, bc: {1,3,5}, ab: { }, a∪b: {1,3,5,H}.

e) P(ac) = 1/6, P(bc) = 3/6 = 1/2, P(a∩b) = 0, P(a∪b) = 4/6 = 2/3, P(a|b) = P(ab)/P(b) = 0/1/2 = 0, P(b|a) = P(a∩b)/P(a) = 0/1/6 = 0.

f) a and b are not mutually exclusive events because there is a possibility that both events can occur together. They are not independent because the outcome of  the first toss affects the likelihood of the second toss or coin toss.

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Answer:

e

Step-by-step explanation:

the ratio of zinc to copper is 3 to 14, that menas that for each 3 grams of zinc there are 14 grams of copper, so we can made a rule of three to find

Answer:

£120

Step-by-step explanation:

Given that

The price after reduction = £78

So, 65% = £78.

We have to calculate 100 %

To do so, find 5% and multiply that by 20

65% = £78

5% = 78/13 = £6

So, 100% = 6 x 20 = £120

Hope this helps.

Good Luck

Please mark brainiest

Answer:

  C.  142°

Step-by-step explanation:

You want the angle between vectors u=3i+√3j and v=-2i-5j.

There are a number of ways the angle between the vectors can be found. For example, the dot-product relation can give you the cosine of the angle:

  u•v = |u|·|v|·cos(θ) . . . . . . where θ is the angle of interest

You can find the angles of the vectors individually, and subtract those:

  u = |u|∠α

  v = |v|∠β

  θ = α - β

When the vectors are expressed as complex numbers, the angle between them is the angle of their quotient:

  \(\dfrac{\vec{u}}{\vec{v}}=\dfrac{|\vec{u}|\angle\alpha}{|\vec{v}|\angle\beta}=\dfrac{|\vec{u}|}{|\vec{v}|}\angle(\alpha-\beta)=\dfrac{|\vec{u}|}{|\vec{v}|}\angle\theta\)

This method is used in the calculation shown in the first attachment. The angle between u and v is about 142°.

A graphing program can draw the vectors and measure the angle between them. This is shown in the second attachment.

__

Additional comment

The approach using the quotient of the vectors written as complex numbers is simply computed using a calculator with appropriate complex number functions. There doesn't seem to be any 3D equivalent.

The dot-product relation will work with 3D vectors as well as 2D vectors.

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The value of derivative f''(2) is 8/3 .

Given,

\(\int\limit {\sqrt{t} } \, dt\)

Limit varies from 2 to x²

Now ,

Perform integration

\(\int\limit {\sqrt{t} } \, dt\)

Limit of integration varies from 2 to x² . 2 will be the lower limit of integration and x² will be the upper limit of integration .

Use property:

∫\(x^{n}\) = \(x^{n+1}/ n+1\)

So,

\(t^{3/2} /3/2\)

Limit varies from 2 to x²

Substitute the limits ,

Limits will be solved by upper limit - lower limit .

2/3(x³ - 4)

Now,

f''(2)

= 2/3(2³ - 4)

= 8/3

Hence the value of f''(2) is 8/3 .

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Correct expression:

\(\int\limit {\sqrt{t} } \, dt\)

Limit varies from 2 to x²

Answer:

90

Step-by-step explanation:

300 / 30 which equals 90%

Answer:

$210

Step-by-step explanation:

.30*300 (30% of 300)= $90 (the discount)

300-90= $210

(a) The linear density (mass/length) rho has SI units of kg/m. Since rho = a + bx, the SI units of a must be kg/m and the SI units of b must be kg/m^2.
(b) To find the mass of the rod, we need to integrate the linear density function over the length of the rod:
m = ∫₀ᴸ ρ(x) dx
Substituting in ρ(x) = a + bx:
m = ∫₀ᴸ (a + bx) dx
m = [ax + (1/2)bx²] from 0 to L
m = aL + (1/2)bL²
Therefore, the mass of the rod in terms of a, b, and L is m = aL + (1/2)bL².

(a) In this problem, rho (ρ) represents linear density, which has units of mass per length. In SI units, mass is measured in kilograms (kg) and length in meters (m). Therefore, the units of linear density are kg/m. Since ρ = a + bx, the units of a and b must be consistent with this equation. The units of a are the same as those of ρ, so a has units of kg/m. For b, since it is multiplied by x (which has units of meters), b must have units of kg/m² to maintain consistency in the equation.

(b) To find the mass of the rod, we need to integrate the linear density function over the length of the rod (from x=0 to x=L). Let's set up the integral:

Mass (M) = ∫(a + bx) dx, with limits from 0 to L

Now, we can integrate:

M = [a * x + (b/2) * x²] evaluated from 0 to L

Substitute the limits:

M = a * L + (b/2) * L²

So, the mass of the rod in terms of a, b, and L is:

M = aL + (bL²)/2

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9514 1404 393

Answer:

  x = ±3√2i

Step-by-step explanation:

Add -18 to both sides of the equation:

  x^2 = -18

Take the square root of both sides:

  x = ±√(-18)

Remember that 18=9·2 = (3^2)·2 and √-1 = i. Simplify.

  x = ±(√(3^2))·(√2)·(√-1)

  x = ±3√2i

It will take God approximately 32 days to use up all the gas in his tanker and need a refill.

If God filled his gas tanker with 19/5/9 tank of gas and uses 1 5/6 gallons of gas each day, we can calculate how many days it will take for him to need a refill.

First, we need to convert the mixed number 19/5/9 to an improper fraction:

19/5/9 = (19 * 9 + 5) / 9 = 176/9

So God has 176/9 tanks of gas in his tanker.

Next, we can calculate how much gas God uses each day:

1 5/6 = (6 * 1 + 5) / 6 = 11/6

So God uses 11/6 gallons of gas each day.

To find out how many days it will take for God to need a refill, we can divide the amount of gas in his tanker by the amount of gas he uses each day:

(176/9) / (11/6) = (176/9) * (6/11) = 32

Therefore, it will take God approximately 32 days to use up all the gas in his tanker and need a refill.

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Step-by-step explanation:

A financial planner is a professional who helps businesses and individuals create a schedule to achieve long-term financial goals. Financial advisor is a broader term for those who help manage your money, including investments and other accounts.

A hurricane is a big rotating storm system that develops over warm ocean waters and usually travels westward toward the American mainland.

An Atlantic Ocean hurricane or a northern Pacific Ocean hurricane is a tropical storm. In most years, hurricanes develop between June 1 and November 30. The Taino Indian word "hurakan," which means "god of wind," is where the word "hurricane" originates.

A hurricane is a big rotating storm system that develops over warm ocean waters and usually travels westward toward the American mainland. Depending on the maximum sustained wind speeds, hurricanes are either classed as tropical storms or hurricanes. Hurricanes have winds of 74 mph or more, whereas tropical storms have winds of 39 to 73 mph.

The hurricane's eye, which is a calm, clear region encircled by powerful winds, is the most hazardous component of the storm. The hurricane's eye, which can be up to 30 miles across, frequently experiences the storm's greatest rains and highest winds.

A hurricane's landfall can result in flooding from storm surges, strong winds, and heavy rains. The increase in sea level that happens as a cyclone nears land is known as a storm surge. Along with coastal locations, this increase in water level has the potential to inflict significant harm and flooding.

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The correct answer is C. Yes, overdetermined systems can be consistent. For example, the system of equations below is consistent because it has fewer solution variables than equations:

x_2 = 4

x_1 + x_2 = 6

To illustrate this, let's solve the system of equations:

From the first equation, we have x_2 = 4.

Substituting this value into the second equation, we get:

x_1 + 4 = 6

Simplifying, we find:

x_1 = 2

Therefore, the solution to the system of equations is x_1 = 2 and x_2 = 4. This ordered pair satisfies both equations, making the system consistent.

In this case, even though we have more equations (2 equations) than unknowns (2 unknowns), the equations are not contradictory or incompatible. The system has a unique solution, and it is consistent.

It is important to note that not all overdetermined systems are consistent. If the equations are contradictory or incompatible, the system will be inconsistent. Inconsistent overdetermined systems typically have more equations than unknowns and lead to contradictions.

In summary, an overdetermined system can be consistent if the equations allow for a solution that satisfies all the equations. The consistency of the system depends on the specific equations involved and their relationship to one another.

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The percentage of the total sum of the squares that can be accounted for by the estimation of regression is 51.3% when it is taken in three decimal points by the regression equation.

The regression equation is used to find one variable from another known variable. There are two types to find the regression equation they are:

1. Regression equation by using simultaneous equation 2. Regression line

The regression equation can be found by the be calculated by the sums of squares by the the sample of correlation coefficient that is 0.716. The amount of variation is taken by the total variation that is interpreted and is denoted by 'r', the sum of squares can be calculated by 1-SSE/ SST=(SST/SST = SSR/SST. When it comes to the product volume then the percentage is 93.64% where it also includes the product cost and variable cost of the product.

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Peter used direct proof method because he gets the answer directly whereas Vivian used direct proof method by contradiction because she first assumed that the answer was wrong and had to prove that the answer was right.

How to carry out Congruence Proofs?

We are told that both peter and Vivian were trying to prove from the attached diagram the statement that;

If ∠2 ≅ ∠3, then ∠1 is supplementary to ∠3.

Now, from the proofs of both of them, we can see that peter used a direct proof because he knew he could get it directly but Vivian utilized another means which was by starting with contradiction to reprove that the answer was correct.

Thus, we can conclude that Peter used direct proof method because he gets the answer directly whereas Vivian used direct proof method by contradiction because she first assumed that the answer was wrong and had to prove that the answer was right

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Therefore, the correct answer is 2) 1 - BINOM.DIST(4, 6, 0.30, 1), which gives the probability of making more than three sales.

The probability of making more than three sales can be calculated using the binomial distribution. Given that there are 6 trials (sales attempts), a success probability of 0.30 (probability of making a sale), and we want to find the probability of more than 3 successes.

1 - BINOM.DIST(3, 6, 0.30, 1): This calculates the probability of getting exactly 3 or fewer successes and subtracts it from 1. It does not give the probability of making more than 3 sales.

1 - BINOM.DIST(4, 6, 0.30, 1): This calculates the probability of getting exactly 4 or fewer successes and subtracts it from 1. It gives the probability of making more than 3 sales.

1 - BINOM.DIST(3, 6, 0.30, 0): This calculates the probability of getting exactly 3 or fewer successes without considering the success probability. It does not give the probability of making more than 3 sales.

Therefore, the correct answer is 2) 1 - BINOM.DIST(4, 6, 0.30, 1), which gives the probability of making more than three sales.

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Answer:

\(x=\pm5\)

Step-by-step explanation:

First, add 75 to each side.

\(3x^2-75+75=0+75\\3x^2=75\)

Next, divide each side by 3.

\(x^2=25\)

Now, you can take the square root.

\(x = \pm\sqrt25}\)

\(x=\pm 5\)

Answer:

C. 0.625

Step-by-step explanation:

5 divided by 8 is .625

A.

       .625      

8   5.000

   - 48

        20

       - 16

           40

         - 40

             0

B.

or you can multiply by 8 the answers to see if you get 5

A. 0.375 * 8 = 3

B. 0.40 * 8 = 3.2

C. 0.625 * 8 = 5

D. 0.875 * 8 = 8

C.

if you dont have to you could estimate using the first number after the decimal to see if you get 5

A. 0.375

first number after the decimal is 3

3 * 8 = 24 ≈ 2.4 ≈ 3

B. 0.40

first number after the decimal is 4

4 * 8 = 32 ≈ 3.2 ≈ 3

C. 0.625

first number after the decimal is 6

6 * 8 = 48 ≈ 4.8 ≈ 5

D. 0.875 * 8 = 8

The next step to derive the quadratic formula is x² + (b/a)x + (b²/2a²)= -c/a + (b²/2a²)

An equation is an expression that shows the relationship between two or more variables and numbers.

Step 1:

ax² + bx + c = 0

Step 2:

ax² + bx = -c

Step 3:

x² + (b/a)x = -c/a

Step 4:

x² + (b/a)x + (b²/2a²)= -c/a + (b²/2a²)

The next step to derive the quadratic formula is x² + (b/a)x + (b²/2a²)= -c/a + (b²/2a²)

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Any variable that can be placed into either of two discrete and mutually exclusive categories is called dichotomous.

A dichotomous variable is one in which, as a result of said variability, there are only two possible outcomes. That is, there is a dichotomy or mutual exclusion between both results of the variable, in such a way that the presence of one result makes the presence of the other null.

An example of dichotomous variables is one in which a certain situation exists or not, that is, where the result varies between 0 and a positive integer.

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Answer:

1) Proportinal

2)Non Proportinal

3)Proportinal

Step-by-step explanation:

Answer:

1. Yes

2. Yes

3. No

Step-by-step explanation:

The experimental probability of not spinning a 1 is 84%.

To find the experimental probability of not spinning a 1, we need to determine the number of times the spinner landed on a number other than 1 and divide it by the total number of spins.

From the given bar graph, we can see that the bar labeled "1" ends at 8, indicating that the spinner landed on 1 a total of 8 times. Since we want to find the probability of not spinning a 1, we need to consider the total number of spins minus the number of times a 1 was spun.

To calculate the total number of spins, we sum up the values at the end of each bar:

8 + 6 + 9 + 11 + 9 + 7 = 50

Now, we can calculate the number of times a number other than 1 was spun:

50 - 8 = 42

Finally, we can determine the experimental probability of not spinning a 1 by dividing the number of times a number other than 1 was spun by the total number of spins:

42 / 50 = 0.84 or 84%

Thus, 84% of the time, a 1 will not be spun in an experiment.

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Answer:

25

Step-by-step explanation:

The factors of 15625 are = 5 * 5 * 5 * 5 * 5 * 5. =25 * 25 * 25 Þ the cube root of 15625 is 25.

Answer:

its F for the inequality to be true

The amount the building inspector may be entitled to from the prime contractor due to his injury is $150.00.

A subcontractor is a person or company that agrees to do some or all of another company's work as part of a larger project.

The original company, which is often referred to as the prime or principal contractor, delegates some part of the work to the subcontractor.

Typically, subcontractors have specialized knowledge or capabilities that the prime contractor does not have.

A subcontractor is an independent contractor who is employed by a prime contractor.

Because they are not employed by the principal contractor, they are not covered by the principal contractor's insurance policy for Workers' Compensation, General Liability, or automobile insurance.

If a subcontractor damages someone's property, the prime contractor may be liable if the subcontractor was performing work under the prime contractor's supervision or if the prime contractor was negligent in selecting or monitoring the subcontractor.

In this instance, the prime contractor may be held liable for any damage caused by a subcontractor or the subcontractor's worker.

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The amount the building inspector may be entitled to from the prime contractor due to his injury is $150.00.What is a subcontractor?A subcontractor is a person or business hired by a general contractor to carry out specific tasks on a construction site.

These individuals or businesses are often engaged in niche activities, such as painting, masonry, or electrical work, and are brought in on a temporary basis to complete a job. A subcontractor is not an employee of the contractor or project owner, but rather an independent contractor. What is the independent contractor rule?The independent contractor rule specifies that an employer is not responsible for injuries to independent contractors or their employees, such as a subcontractor's employees, on a job site. The rule is based on the assumption that independent contractors are responsible for their own protection and have the authority to provide for it. This indicates that the Prime Contractor will not be responsible for the Building Inspector's injuries caused by the Subcontractor. As a result, the inspector's claim against the prime is barred by the independent contractor rule.What is the outcome?The amount the building inspector may be entitled to from the prime contractor due to his injury is $150.00.

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