Joseph measures the ropes to tie boats to a dock. He records the lengths of the ropes in feet and then makes a line plot. Joseph concludes that the difference between the longest and shortest lengths is 2 1/2 feet. Martha disagrees and says that the difference is only 1 foot who is correct? no links please

Answer:

1, 2 5, 6 are true

Step-by-step explanation:

Answer:

you forgot the attachment

Step-by-step explanation:

Queremos encontrar el valor mínimo de x que es una solución para la inecación dada, veremos que es x = 4

Lo primero que debemos hacer es aislar la variable x en un lado de la inecuación, partimos de:

5x - 2 ≥ 18

Sumamos 2 en ambos lados:

5x -2 + 2 ≥ 18 + 2 = 20

5x ≥ 20

Ahora dividimos ambos lados por 5:

5x/5 ≥ 20/5

x ≥ 4

Esto significa que x es mayor o igual a 4, de aqui podemos concluir que el valor mínimo que puede tomar la variable es x = 4.

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The number of athletes that finished the race this year was 4284 athletes.

An equation is an expression that can be used to show the relationship between variables and numbers.

Let x represent the amount of athletes that finished the race this year.

Last year, 3,570 athletes finished the Silvergrove Marathon. This year, the number of runners crossing the finish line was 20% higher. Hence:

x = 3570 + 20% of (3570)

x = 3570 + (0.2 * 3570)

x = 4284

4284 athletes finished the race.

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Answer:

30%

Step-by-step explanation:

Since she has made 18 of the total 60 cards, you divide 18 by 60.

18/60 = 0.30

To convert a decimal to a percentage, you multiply it by 100.

0.30 x 100 = 30%

Answer:

x=180-(31+40)

The triangles that are right triangles are triangles A and E using the Pythagoras rule.

The Pythagoras rule states that in a right-angled triangle, the square of the hypotenuse(the longest side) is equal to the sum of the squares of the other two sides. 

For triangle A:

the long side (√5)² = 5

the sum of the other sides is

(√3)² + (√2)² = 5

For triangle B:

the long side (√5)² = 5

the sum of the other sides is

(√3)² + (√4)² = 7

For triangle C:

the long side 6² = 36

the sum of the other sides is

4² + 5² = 41

For triangle D:

the long side 7² = 49

the sum of the other sides is

5² + 5² = 50

For triangle E:

the long side 10² = 100

the sum of the other sides is

8² + 6² = 100

Therefore, the triangles that are right triangles are triangles A and E using the Pythagoras rule.

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The correlation coefficient, denoted as "r," can take values between -1 and 1, inclusive. In summary, the possible values of the correlation coefficient range from -1 to 1.

The correlation coefficient measures the strength and direction of the linear relationship between two variables. A value of -1 indicates a perfect negative linear relationship, meaning that as one variable increases, the other decreases in a perfectly predictable manner.

A value of 1 indicates a perfect positive linear relationship, where both variables increase or decrease together in a predictable manner. A value of 0 indicates no linear relationship between the variables.

The correlation coefficient can take any value between -1 and 1, representing varying degrees of linear association. Values close to -1 or 1 indicate a strong linear relationship, while values close to 0 suggest a weak or no linear relationship. The sign of the correlation coefficient indicates the direction of the relationship: negative for a decreasing relationship, positive for an increasing relationship.

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the acid that is likely to result in the greatest percent ionization in aqueous solution would be a strong acid such as hydrochloric acid (HCl), sulfuric acid (H2SO4), or nitric acid (HNO3). These acids readily dissociate in water, leading to a high degree of ionization.

According to Lewis theory, a Lewis acid is an electron-pair acceptor. This means that a Lewis acid is a species that can accept a pair of electrons from another species. Lewis acids are characterized by having an electron-deficient atom or ion that can form a coordinate bond with a Lewis base, which is the electron-pair donor.

In the given choices, (B) electron-pair donor is the correct answer for the definition of a Lewis acid. A Lewis acid is not a proton donor (A) or a proton acceptor (C), as those terms are associated with Bronsted-Lowry theory, which focuses on the transfer of protons (H+ ions) in acid-base reactions.

To determine which acid is likely to result in the greatest percent ionization in aqueous solution, we need to consider the strength of the acid. Strong acids are more likely to undergo complete ionization in water, resulting in a higher percent ionization.

Strong acids are typically those that completely dissociate in water to produce a large number of H+ ions. Examples of strong acids include hydrochloric acid (HCl), sulfuric acid (H2SO4), and nitric acid (HNO3).

Weak acids, on the other hand, only partially ionize in water, resulting in a lower percent ionization. Examples of weak acids include acetic acid (CH3COOH) and formic acid (HCOOH).

Therefore, the acid that is likely to result in the greatest percent ionization in aqueous solution would be a strong acid such as hydrochloric acid (HCl), sulfuric acid (H2SO4), or nitric acid (HNO3). These acids readily dissociate in water, leading to a high degree of ionization.

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Answer:

m = - 1 and b = - 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (2, - 3) ← 2 points on the line

m = \(\frac{-3-2}{2-(-3)}\) = \(\frac{-5}{2+3}\) = \(\frac{-5}{5}\) = - 1

b is the y- intercept, that is where the graph crosses the y- axis.

line crosses the y- axis at (0, - 1 ) ⇒ b = - 1

Answer: no 3 is grade then -6 as 3 is positive number and 6 is negative number so positive is greater then negative number.

Step-by-step explanation:

In order to indicate if a number is greater than or less than another, we use the symbols > and <. For example, 10 is greater than 3, so we write it 10 > 3.

Both solutions satisfy the original equation. As a result, there are no extraneous solutions in this case.

To determine the number of extraneous solutions in the given equation, let's simplify it step by step:

Step 1: Let's find the common denominator for the two fractions on the left side of the equation. The common denominator is (2m + 3)(2m - 3).

Step 2: Apply the common denominator to both fractions:

[(2m)(2m - 3)]/[(2m + 3)(2m - 3)] - [(2m)(2m + 3)]/[(2m + 3)(2m - 3)] = 1

Step 3: Simplify the numerators:

\([4m^2 - 6m - 4m^2 - 6m]/[(2m + 3)(2m - 3)] = 1\)

[-12m]/[(2m + 3)(2m - 3)] = 1

Step 4: Cancel out common factors:

-12m = (2m + 3)(2m - 3)

\(-12m = 4m^2 - 9\)

Step 5: Rearrange the equation:

\(4m^2 + 12m - 9 = 0\)

Step 6: Solve the quadratic equation using factoring, completing the square, or using the quadratic formula. Let's use the quadratic formula:

\(m = (-b ± √(b^2 - 4ac))/(2a)\)

For our equation, a = 4, b = 12, and c = -9. Substituting these values:

m = (-(12) ± √((12)^2 - 4(4)(-9)))/(2(4))

m = (-12 ± √(144 + 144))/(8)

m = (-12 ± √288)/8

m = (-12 ± 12√2)/8

Simplifying further:

m = (-3 ± 3√2)/2

So, we have two potential solutions for m:

m = (-3 + 3√2)/2  and  m = (-3 - 3√2)/2

Now we need to check if these solutions satisfy the original equation. Let's substitute these values back into the equation:

For m = (-3 + 3√2)/2:

[(2(-3 + 3√2))/(2(-3 + 3√2) + 3)] - [(2(-3 + 3√2))/(2(-3 + 3√2) - 3)] = 1

Simplifying this equation, we find that it holds true.

For m = (-3 - 3√2)/2:

[(2(-3 - 3√2))/(2(-3 - 3√2) + 3)] - [(2(-3 - 3√2))/(2(-3 - 3√2) - 3)] = 1

Simplifying this equation, we also find that it holds true.

Therefore, both solutions satisfy the original equation. As a result, there are no extraneous solutions in this case.

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To determine how far due North the ship is from its starting position, we need to use trigonometry. Given that Ship B is 100m east of Ship A and the bearing from Ship A to Ship B is 30°, we can use the sine function to calculate the distance due North.answer is 50m.

Given that Ship B is 100m east of Ship A and the bearing from Ship A to Ship B is 30°, we can use trigonometry to determine the distance due North.
Using the sine function, we can calculate the opposite side length (the distance due North) by taking the sine of the given angle and multiplying it by the adjacent side length (the distance between the ships). In this case, the distance due North is represented by y, the angle is 30°, and the distance between the ships is 100m.
Using the equation y = sin(30°) * 100m, we can calculate the distance due North. Taking the sine of 30° (which is 0.5), we have y = 0.5 * 100m = 50m.
Therefore, the ship is located 50 meters due North from its starting position.

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Ship B is approximately 57.74 meters due north from Ship A. This was determined by using trigonometric functions to solve the question.

The subject of this problem relates to trigonometry. Here, we need to determine the distance from Ship A to the location of Ship B due north, given that the bearing of Ship B from Ship A is 30° and the horizontal distance (eastwards) is 100m.

Let’s define the distance of ship B due north from ship A as y. The bearing of Ship B from Ship A forms a right-angled triangle. In this triangle, the horizontal distance of Ship B from Ship A is the adjacent side, and the distance we need to find is the opposite side.

We use the tangent function, which is the ratio of the opposite side to the adjacent side in a right-angled triangle:

Tan(30) = y/100

Rearranging this equation gives:

y = 100 * Tan(30)

By calculating this equation, we find that the distance of Ship B due north from Ship A is approximately 57.74 meters.

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Answer:

x = 67.5

Step-by-step explanation:

x+3x+90 = 360

360 degrees in total, and right angle is 90 degrees

4x+90=360

4x=270

x=67.5 degrees

Check

3(67.5) + 67.5 + 90 = 360

202.5 + 67.5 + 90 = 360

270 + 90 = 360

360 = 360

Answer:

x = 67.5

Step-by-step explanation:

The other guy is right. 100%.

If the cost for 10 ounce of organic blueberry is $2. 70, the cost of 30 ounce of organic blueberry is represented by the equation x = 20y + 2.70 where y is the cost in dollars for one ounce of organic blueberry.

As x is the cost in dollar for 30 ounce of organic blueberry. For y is the cost in dollars for one ounce of organic blueberry, then

x = 30y + c

where c is the fixed cost

We know for 10 ounce of organic blueberry it costs $2.70. That is

2.70 = 10y + c

c = 2.70 - 10y

So x = 30y + 2.70 - 10y

x = 20y + 2.70

-- The question is incomplete, the complete question is as follows--

"The cost for 10 ounce of organic blueberry is $2. 70 which equation can be used to determine x the cost in dollars, for 30 ounces of organic blueberries.?"

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The best estimate for the weight of a cantaloupe is 2 kilograms (B).

A decigram is 1/10th of a gram, which would be too small of weight for a cantaloupe. 2 grams (C) is also too small for a cantaloupe as it would only be the weight of a few small seeds. 2 milligrams (D) is an extremely small weight, only suitable for a single grain of salt or a tiny insect.

Therefore, 2 kilograms (B) is the most reasonable estimate for the weight of a cantaloupe as it falls within the typical range of cantaloupe weights.

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Complete Question:

Choose the best estimate for the weight of a cantaloupe. Responses

A 2 decigrams

B 2 kilograms

C 2 grams

D 2 milligrams

Answer: 44.85

Step-by-step explanation:

Answer:

$280 in 8 weeks

Step-by-step explanation:

$35×8=$280

Answer:

10/19

Step-by-step explanation:

the question is asking you for the amount of time that Tia spends playing the computer to the amount of time that she spends playing outside.

she spends 10 minutes playing on the computer

she spends 19 minutes playing outside

therefore it is 10:19 or 10/19 or 10 to 19

Answer:

you need to learn how to "prime factor" numbers....

primes are 2,3,5,7,11,13,17....

they go on forever. ALL whole numbers can be "broken down" into a bunch of primes multiplied together.

take the fractions (top and bottom) and start dividing them bu the smallest prime, and going up until all the numbers multiplied make the original number...

15 = 3 * 5

24= 2 * 12 = 2 * 2 * 6 = 2* 2* * 2 * 6

thus   \(\frac{15}{24}\) = \(\frac{3 * 5 }{2* 2* 2* 3}\)  now just cancel all the SAME numbers from to to bottom

"pair them up" .... in this case only one of the threes in the bottom "takes out" one of the threes in the top

result \(\frac{5}{2*2*2 } = \frac{5}{8}\)

~~~~~~~~~~~~~~~~~~~~

\(\frac{21}{35}\)

21= 3 * 7

35= 5* 7

\(\frac{3*7}{5*7} = \frac{3}{5}\)

Step-by-step explanation:

Answer:  7x²  - 14x

Steps: 7(-2x + x²)

Apply the distributive law [ a(b + c) = ab + ac ]:   7(-2x) + 7x²

Apply negative/positive rules:  -7 × 2x + 7x²

Simplify: 7x²  - 14x

When receiving ammunition, unit personnel perform three tasks: ensuring items requested match item numbers on DA Form 3151-R, loading and securing the ammunition, and placarding the vehicle.

The first task performed by unit personnel when receiving ammunition is to ensure that the items requested match the item numbers on DA Form 3151-R. This form serves as a record of the types and quantities of ammunition being received. By comparing the requested items with the item numbers on the form, personnel ensure accuracy and prevent any discrepancies or errors in the delivery.

The second task involves the loading and securing of the ammunition. Unit personnel are responsible for safely and efficiently loading the ammunition onto the designated vehicle or storage area. This includes following proper handling procedures, using appropriate equipment, and adhering to safety protocols. The ammunition must be securely stored and arranged to prevent shifting or damage during transportation.

The final task is to placard the vehicle. Placarding involves visibly displaying the necessary warning signs or labels on the vehicle that indicate the presence of ammunition. This step is crucial for safety and compliance purposes, as it alerts other personnel and drivers to exercise caution when approaching or handling the vehicle. Clear and prominent placarding helps prevent accidents and ensures that everyone involved is aware of the potential hazards associated with transporting ammunition.

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The ratio of a : b is 5 : 4.  

Given that:-

Measure of an interior angle of a regular octagon = a

Measure of an interior angle of a regular pentagon = b

We know that sum of all the angles of a regular polygon of n sides is (n - 2)*180.

Hence, sum of all the angles of regular octagon = (8 - 2)*180 = 6*180 = 1080 degrees.

Hence, sum of all the angles of regular pentagon = (5 - 2)*180 = 3*180 = 540 degrees.

Hence, one interior angle of a regular octagon, a  = 1080/8 = 135 degrees.

Hence, sum of all the angles of regular pentagon, b = 540/5 = 108 degrees.

Hence, the ratio of a : b = 135/108 = 5 : 4.  

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Hello,

f(x) = 1/9x + 2 ⇔ y = 1/9x + 2 ⇔ 1/9x = y - 2 ⇔ x = 9(y - 2)

                                                                            x = 9y - 18

⇒ f⁻¹(x) = 9x - 18

\(\frak{Hi!}\)

\(\orange\hspace{300pt}\above3\)

                         If we have a function, we can find its inverse if we do the

                         following-:

                        \(\tiny\bullet\) replace f(x) with y.

                        \(\boldsymbol{\sf{y=\displaystyle\frac{1}{9}x+2}}\)

                        \(\tiny\bullet\) switch the places of x and y

                        \(\boldsymbol{\sf{x=\displaystyle\frac{1}{9}y+2}}}\)

                         \(\bullet\) solve for y

                        \(\boldsymbol{\sf{x\times9=\frac{1}{9}y\times9+2\times9}}\)

                         \(\boldsymbol{\sf{9x=y+18}}\)

                         \(\boldsymbol{\sf{-y=-9x+18}}\)

                          \(\boldsymbol{\sf{y=9x-18}}}\)

                        \(\boldsymbol{\sf{f(x)^{-1}=9x+18}}\)

\(\orange\hspace{300pt}\above3\)

The correct answer is C. To increase the strength of a solenoid, you need to increase the number of loops or the amount of electric current. A solenoid is a type of electromagnet that consists of a coil of wire with an electric current running through it, creating a magnetic field.

A solenoid is a type of electromagnet that consists of a coil of wire with an electric current running through it, creating a magnetic field. The strength of the magnetic field is directly proportional to the number of loops of wire and the amount of current flowing through the coil. Therefore, to increase the strength of a solenoid, you can either increase the number of loops in the coil or increase the amount of current flowing through the coil.

Option A (plugging up multiple items in the circuit) and option D (arranging the resistors of the circuit in a series circuit) do not increase the strength of a solenoid. These options relate to the circuit's resistance, which can affect the amount of current flowing through the solenoid but does not directly impact its strength.

Option B (arranging the resistors of the circuit in a parallel circuit) could potentially increase the current flowing through the solenoid, but it would not increase the number of loops in the coil, which is necessary to increase the strength of the solenoid. Therefore, option C is the correct answer.

In summary, to increase the strength of a solenoid, you need to increase the number of loops or the amount of electric current flowing through the coil.

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Answer:

The correct answer for the question that is being presented above is this one: "The range of the function is all real numbers; The function has two x-intercepts. The statements about the graph of the function f(x) = 2x2 – x – 6 that are true includes: The range of the function is all real numbers; The function has two x-intercepts.

Step-by-step explanation:

If graph of any function going towards down in a particular interval. Then , function is decreasing in that interval.

From x = -∞ to x = a , function is positive and decreasing.

Here, a graph is attached in the question.

We know that, if graph of any function is going towards down in particular interval. Then function is decreasing in that particular interval.

If graph of any function is going towards up in particular interval. Then function is increasing in that particular interval.

In given graph. it is observed that in interval x = -∞ to x = a , graph of function is above x - axis and graph is going towards down. Therefore, in given interval function is positive and decreasing.

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Answer:

7

Step-by-step explanation:

7^2 =49

49 -21 =28

28÷7 = 4