What three forces do airplanes and cars have that are the same pls help

To find the area of a square or a rectangle, you would multiply the value of the length by the value of the width.

length x width = area

1. Measure the length of the paper (the length, in this case, is the longest part of the paper).

2. Measure the width of the paper (the horizontal, shorter part of the paper).

3. Multiply said values together to find the area with your chosen system of units.

However, if you are looking for exclusively the length and/or width, you can use a ruler to find said dimensions.

a) a.(b×c) = 9

b) a.(b+c) = 5

c) x-component of a × (b+c) = -2

d) y-component of a × (b+c) = -9

e) z-component of a × (b+c) = -1

To solve the given problems, let's perform the necessary vector operations:

a) a.(b×c) represents the dot product between vector a and the cross product of vectors b and c.

First, let's calculate the cross product of vectors b and c:

b × c = \((b_y * c_z - b_z * c_y)i + (b_z * c_x - b_x * c_z)j + (b_x * c_y - b_y * c_x)k\)

       = (1 * (-3) - 3 * 0)i + (3 * (-1) - (-4) * (-3))j + (-4 * 0 - 1 * (-3))k

       = -3i + (-6)j + 3k

Now, let's calculate the dot product of vector a and the cross product of b and c:

a.(b × c) = \(a_x * (b_x * c_x + b_y * c_y + b_z * c_z) + a_y * (b_x * c_x + b_y * c_y + b_z * c_z) + a_z * (b_x * c_x + b_y * c_y + b_z * c_z)\)

          = -1 * (-3) + 0 * (-6) + 2 * 3

          = 3 + 0 + 6

          = 9

Therefore, a.(b×c) = 9.

b) a.(b+c) represents the dot product between vector a and the sum of vectors b and c.

Let's calculate the sum of vectors b and c:

b + c = (-4i + j + 3k) + (-1i + 0j - 3k)

      = -4i + (-1i) + j + 0j + (3k) + (-3k)

      = -5i + j

Now, let's calculate the dot product of vector a and the sum of b and c:

a.(b + c) = a_x * (b_x + c_x) + a_y * (b_y + c_y) + a_z * (b_z + c_z)

          = -1 * (-5) + 0 * 1 + 2 * 0

          = 5 + 0 + 0

          = 5

Therefore, a.(b+c) = 5.

c) The x-component of a × (b + c) can be found by taking the determinant of the i, j, and k unit vectors along with the components of vectors a and (b + c):

|i   j   k |

|-1  0   2 |

|-5  1   0 |

= (0 * 0 - 1 * 2)i - (-1 * 0 - (-5) * 2)j + (-1 * 1 - (-5) * 0)k

= -2i -9j -k

Therefore, the x-component of a × (b + c) is -2.

d) The y-component of a × (b + c) can be found in a similar way:

|i   j   k |

|-1  0   2 |

|-5  1   0 |

= (0 * 0 - 1 * 2)i - (-1 * 0 - (-5) * 2)j + (-1 * 1 - (-5) * 0)k

= -2i -9j -k

Therefore, the y-component of a × (b + c) is -9.

e) The z-component of a × (b + c) can be found as follows:

|i   j   k |

|-1  0   2 |

|-5  1   0 |

= (0 * 0 - 1 * 2)i - (-1 * 0 - (-5) * 2)j + (-1 * 1 - (-5) * 0)k

= -2i -9j -k

Therefore, the z-component of a × (b + c) is -1.

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Complete question is below

Three vectors are given by a = -1.0i + (.0)j + (2.0)k, b = -4.0i + (1.0)j + (3.0)k and c = -1.0i + (0)j + (-3.0)k

Find a) a.(b×c)

b) a.(b+c)

c) x-component d) y-component e) z-component of a×(b+c)

Answer:

(8x − 2x ) + (−x − 2) = (5x − 3) − (4 −x ) a) Ecuación de Primer Grado. b)

Step-by-step explanation:

Answer:

Estas hablando espanol? Perdon, mio es muy malo. Piensa que la responder correcta es -x=-3.

Step-by-step explanation:

The volume of the cone with a radius of 3 cm and height of 8 cm is 24 π cm³. Then the correct option is D.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Consider this composite figure made of a cone and a cylinder.

A cone has a height of 8 centimeters and a radius of 3 centimeters.

A cylinder has a height of 7 centimeters and a radius of 3 centimeters.

Then the volume of the cone will be

We know that the volume of the cone

\(\rm Volume = \dfrac{1}{3} \pi r^2 h\)

Then we have

\(\rm Volume = \dfrac{1}{3} \ \pi \ 3^2 *8\\\\\rm Volume = \dfrac{1}{3} \ \pi *9*7\\\\\rm Volume = \dfrac{1}{3} \ \pi \ 72\\\\Volume = 24 \ \pi\)

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Answer:

24

Step-by-step explanation:

Got it right on the question

Factor by grouping: 16x³ +28x² - 28x - 49 = 0 is  (4x² - 7) (4x - 7) = 0

Large polynomials can be divided into groups based on a common factor. As a result, we may factor each distinct group and then merge like words. We refer to this as factoring by grouping.

We have the equation,

16x³ +28x² - 28x - 49 = 0

In order to solve the equation by using factor by grouping:

We find common terms in between,

So, we arrange the terms,

16x³ +28x² - 28x - 49 = 0

4x² (4x - 7) -7 (4x - 7) = 0

Here, we have common term (4x-7).

Factor out the common binomial.

(4x² - 7) (4x - 7) = 0

Therefore, (4x² - 7) (4x - 7) = 0 is the factor.

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Answer:

The mathematical property demonstrated by the statement 3 + (-6) = -6 + 3 is the commutative property of addition.

This states that: A + B = B + A

The commutative property of addition is the property that is demonstrated by the formula "3 + (-6) = -6 + 3".

This characteristic states that the sum is unaffected by the sequence in which two numbers are added. In other words, a + b = b + a for any two numbers a and b.

In this instance, the left side has 3 + (-6) which equals -3. We have -6 + 3 on the right side, which also equals -3. This indicates that the result is unaffected by the sequence in which the numbers are added.

We can thus write:

3 + (-6) = -6 + 3

-3 = -3

This demonstrates the truth of the assertion and serves as an illustration of the commutative property of addition.

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Answer:

30% gain

Step-by-step explanation:

$30 for 10 = $3 each

$46.80 for 12 = $3.9 each

percentage change = (final price- initial price)/inital price  *100

3.9-3 = 0.9

0.9/3 = 0.3

0.3 x 100 = 30

so gain of 30%

a) The set of values of k for which the line and curve meet at two distinct points is k < -2/5 or k > 2.

To find the set of values of k for which the line and curve meet at two distinct points, we need to solve the equation:

x^2 - kx + 2 = 3kx - 2k

Rearranging, we get:

x^2 - (3k + k)x + 2k + 2 = 0

For the line and curve to meet at two distinct points, this equation must have two distinct real roots. This means that the discriminant of the quadratic equation must be greater than zero:

(3k + k)^2 - 4(2k + 2) > 0

Simplifying, we get:

5k^2 - 8k - 8 > 0

Using the quadratic formula, we can find the roots of this inequality:

\(k < (-(-8) - \sqrt{((-8)^2 - 4(5)(-8)))} / (2(5)) = -2/5\\ or\\ k > (-(-8)) + \sqrt{((-8)^2 - 4(5)(-8)))} / (2(5)) = 2\)

Therefore, the set of values of k for which the line and curve meet at two distinct points is k < -2/5 or k > 2.

b) To find the two values of k for which the line is a tangent to the curve, we need to find the values of k for which the line is parallel to the tangent to the curve at the point of intersection. For m to be the slope of the tangent at the point of intersection, we need to have:

2x - 4 = m

3k = m

Substituting the first equation into the second, we get:

3k = 2x - 4

Solving for x, we get:

x = (3/2)k + (2/3)

Substituting this value of x into the equation of the curve, we get:

y = ((3/2)k + (2/3))^2 - k((3/2)k + (2/3)) + 2

Simplifying, we get:

y = (9/4)k^2 + (8/9) - (5/3)k

For this equation to have a double root, the discriminant must be zero:

(-5/3)^2 - 4(9/4)(8/9) = 0

Simplifying, we get:

25/9 - 8/3 = 0

Therefore, the constant term is 8/3. Solving for k, we get:

(9/4)k^2 - (5/3)k + 8/3 = 0

Using the quadratic formula, we get:

\(k = (-(-5/3) ± \sqrt{((-5/3)^2 - 4(9/4)(8/3)))} / (2(9/4)) = -1/3 \\or \\k= 4/3\)

Therefore, the two values of k for which the line is a tangent to the curve are k = -1/3 and k = 4/3. To show that the two tangents meet on the x-axis, we can find the x-coordinate of the point of intersection:

For k = -1/3, the x-coordinate is x = (3/2)(-1/3) + (2/3) = 1

For k = 4/3, the x-coordinate is x = (3/2)(4/3) + (2/3) = 3

Therefore, the two tangents meet on the x-axis at x = 2.

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The value of m or Mia's time is 11.34 seconds.

Let Mia's time is m.

Thomas's time = 8+m

Jasmine's time = 21 + 8+ m

m + 8 + m + 21 + 8 + m = 71

3m + 37 = 71

3 m = 71 - 37

m = 34/3

m = 11.34

Therefore, the value of m or Mia's time is 11.34 seconds.

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The converse of the statement "If a figure is a square, its diagonals divide it into isosceles triangles" would be:

"If a figure's diagonals divide it into isosceles triangles, then the figure is a square."

The converse statement is not necessarily true. While it is true that in a square, the diagonals divide it into isosceles triangles, the converse does not hold. There are other shapes, such as rectangles and rhombuses, whose diagonals also divide them into isosceles triangles, but they are not squares. Therefore, the converse of the statement is not always true.

Therefore, the converse of the given statement is not true. The existence of diagonals dividing a figure into isosceles triangles does not guarantee that the figure is a square. It is possible for other shapes to exhibit this property as well.

In conclusion, the converse statement does not hold for all figures. It is important to note that the converse of a true statement is not always true, and separate analysis is required to determine the validity of the converse in specific cases.

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90000000000000000000000 - 5500000000000 =

4450000000000000000000000

Answer:

this kind of problem is hard to solve with that many zeros. but if you were to do 900,000,000-550,000,000 it would be 350,000,000

Step-by-step explanation:

The equation M + N = 0 implies that vectors M and N are additive inverses of each other, meaning that when added together, they cancel each other out and result in the zero vector. This also means that they have the same magnitude, but point in opposite directions.

Therefore, statement C is true, while A, B, and D are not. Statement A cannot be true because vectors at right angles to each other have a dot product of zero, but the given equation implies that their dot product is -1 (since M and N are additive inverses).

Statement B cannot be true because vectors pointing in the same direction have the same direction, but the given equation implies that they have opposite directions. Finally, statement D cannot be true because the magnitudes of both vectors are the same (as per the given equation) and cannot be negative.

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Answer:

Zeroes are x = 6 and x = -4

Factored form is - ( x + 4 ) ( x - 6 )

Standard form is -x^2 + 2x +24

Step-by-step explanation:

Solve out the equation to get the standard form, then factor that equation to get the factored form. Set each factor equal to zero and solve for x to get zeroes of the function

Hopefully this helps - let me know if you have any questions!

Answer:

1350

Step-by-step explanation:

Hope this helps!

Answer:

282.74in

Step-by-step explanation:

Answer:

one, x = 7

Step-by-step explanation:

7(x - 2) + 5 = 3 (2x - 1) + 1

reduce:

7x - 14 + 5 = 6x - 3 + 1

x = 7

The simplified expression for the amount of money that Dominick has received is $180 + $115m.

The expression that represents the total amount of money received from the grandfather is:

amount given to start savings + (amount given per month x number of months)

$300 + ($75 x m)

$300 + $75m

The expression that represents the total amount of money received from the mum is:

amount given per month x (m - 3)

$40 x (m - 3)

= $40m - $120

Total amount of money received = amount received from the grandfather + amount received from the mum

$300 + $75m + $40m - $120

$180 + $115m

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Answer:

where is the photo?

Step-by-step explanation:

Where is the photo, I need you to give me more details so i can officially answer your question, thank you :)

The remainder of the polynomial using the remainder theorem and factor theorem is 6.

Apply the remainder theorem,

When we divide a polynomial

f(x) by (x − c)

f(x) = (x − c)q(x) + r

f(c) = 0 + r

Here,

f(x)=(x−c)q(x)+rf(c)=0+r

and (x−c) is (x−(−2))

Therefore,

f(−2) = \((-2)^{4} - (-2)^3 - 3(-2)^2 + 4(-2) + 2\)

= 16 + 8 − 12 − 8 + 2

= 6

Hence, the remainder of the polynomial using the remainder theorem is 6.

Whereas using the factor theorem and doing synthetic division, we get,  

x = -2 is a zero of f(x), and x+2 is a factor of f(x). To factor f(x), we divide

the coefficients of the polynomial as follows -

         -2   |   1  -1    -3     4      2

                      -2   6    -6      4

        -----------------------------------------

                    1   -3   3    -2     6

Hence, we get that 6 is the remainder when (\(x^4-x^3-3x^2+4x+2\)) ÷ (x+2), using the factor theorem.

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The complete question is -

Find the remainder using the Remainder Theorem and Factor Theorem using the synthetic division of the given polynomial, \(x^4-x^3-3x^2+4x+2\) ÷ (x+2)

Answer:i think its 115 degres

Step-by-step explanation:

Answer:

the 3rd

Step-by-step explanation:

90% of the observations lie above 0.2 in this uniform distribution.

To find the percent of observations that lie above 0.2 in a uniform distribution, we need to calculate the area under the density curve above 0.2.

Since the density curve represents a uniform distribution, the probability density function (PDF) is a constant value between 0 and 2. The area under the density curve represents the probability of an observation falling within that range.

In a uniform distribution, the PDF is given by:

f(x) = 1 / (b - a)

Where a is the lower bound and b is the upper bound of the distribution.

Since the lower bound is 0 and the upper bound is 2, the PDF for this uniform distribution is:

f(x) = 1 / (2 - 0) = 1 / 2

To find the percent of observations above 0.2, we need to find the area under the density curve above 0.2.

Since the PDF is constant for this distribution, the area above 0.2 is equal to:

(2 - 0.2) * (1 / 2) = 1.8 / 2 = 0.9 = 90%

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The crucial value Zg 22 required to create an 80% confidence interval is roughly 1.28, rounded to the closest hundredth place. The area in one tail outside of the 80% confidence interval (a/2) is 10%.

The a/2 (the area in one tail outside of the 80% confidence interval) and the critical value Zg 22, can be found as,

1. Determine the total area outside the confidence interval: Since the confidence interval is 80%, the area outside the interval is 100% - 80% = 20%.

2. Calculate a/2: Divide the area outside the interval by 2 to find the area in one tail. In this case, a/2 = 20%/2 = 10%.

3. Find the critical value Zg 22: To determine the critical value (Z-score) associated with the 80% confidence interval, look up the corresponding Z-score in a standard normal distribution table or use a calculator or software that can compute the inverse of the standard normal cumulative distribution function (also called the Z-score calculator or the percentile calculator). In this case, you will look for the Z-score that corresponds to 90% (80% confidence interval plus one tail area), which is approximately 1.28.

So, the area in one tail outside of the 80% confidence interval (a/2) is 10%, and the critical value Zg 22 needed to construct an 80% confidence interval is approximately 1.28, rounded to the nearest hundredth place.

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To find the value of x in the given triangle, we can use the Law of Sines, which states that the ratio of the length of a side of a triangle to the sine of its opposite angle is constant.

In the triangle, let's label the angles as A, B, and C, and the sides opposite to them as a, b, and c, respectively. According to the Law of Sines, we have the following relationship:

a/sin(A) = b/sin(B) = c/sin(C)

To find the value of x, we need to identify the appropriate sides and angles. Let's assume that x is the side opposite to angle B. In this case, we can write the equation as:

x/sin(B) = a/sin(A)

Rearranging the equation, we get:

x = (sin(B) * a) / sin(A)

By substituting the given values of angles A and B and the corresponding side lengths a, we can calculate the value of x using a scientific calculator or trigonometric tables.

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Answer:

b,c,e,d,a,f

Step-by-step explanation:

We can find the probability associated with a z-score of 1.86, this approximation of population proportion of adults who exercise regularly remains constant and that the sampling is done randomly.

To find the approximate probability of obtaining a sample of 100 adults in which 68 or more exercise regularly, you can use the normal approximation to the binomial distribution. The conditions for using this approximation are that the sample size is large (n ≥ 30) and both np and n(1 - p) are greater than or equal to 5.

Given that the proportion of adults who exercise regularly in the city is 0.59 and the sample size is 100, we can calculate the mean (μ) and standard deviation (σ) of the binomial distribution as follows:

μ = n × p = 100 × 0.59 = 59

σ = √(n × p × (1 - p)) = √(100 × 0.59 × 0.41) ≈ 4.836

To find the probability of obtaining a sample of 68 or more adults who exercise regularly, we can use the normal distribution with the calculated mean and standard deviation:

P(X ≥ 68) ≈ P(Z ≥ (68 - μ) / σ)

Calculating the z-score:

Z = (68 - 59) / 4.836 ≈ 1.86

Using a standard normal distribution table or a calculator, we can find the probability associated with a z-score of 1.86, which represents the probability of obtaining a sample of 68 or more adults who exercise regularly.

Please note that this approximation assumes that the population proportion of adults who exercise regularly remains constant and that the sampling is done randomly.

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The scenario described above illustrates the Service Recovery Paradox, where a customer's satisfaction can actually increase after experiencing a service failure and receiving effective recovery efforts.

Dr. Amarkant Tripathi faced a delay and inconvenience with his suit order from B N Rao suits, but the store manager went above and beyond to rectify the situation, ultimately leading to Dr. Tripathi's increased satisfaction and loyalty.

The Service Recovery Paradox occurs when a customer's satisfaction and loyalty increase even after encountering a service failure. In the given context, Dr. Tripathi experienced a delay and fitting issue with his suit order. However, the store manager took prompt action to resolve the problem and ensure Dr. Tripathi's satisfaction.
Despite initial setbacks, the store manager exhibited proactive service recovery efforts. He communicated with Dr. Tripathi, apologized sincerely, and made efforts to rectify the situation promptly. The manager's willingness to listen, understand, and address the customer's concerns played a crucial role.
Furthermore, the store manager's personal involvement, contacting Dr. Tripathi's home, explaining the situation to his daughter, and arranging for the suit to be taken to the Domlur branch for repairs and express delivery showcased a high level of customer service and dedication to resolving the issue.
These service recovery efforts exceeded Dr. Tripathi's expectations and demonstrated B N Rao suits' commitment to customer satisfaction. As a result, when Dr. Tripathi received the suit, along with the apology note and additional handkerchiefs, he felt not only satisfied with the resolution but also impressed by the store's efforts to understand his needs and deliver a superior service experience.
The Service Recovery Paradox, in this case, highlights the importance of effective service recovery in building customer loyalty and turning a potentially negative experience into a positive one. B N Rao suits' commitment to resolving the issue and going the extra mile to deliver a satisfactory outcome ultimately strengthened the customer's trust and loyalty in the brand.

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