For the reaction depicted in the molecular scenes, X is red and Y is green. Write a balanced equation for the reaction, including the state for each component.

Answer:

The actual speed = 27.12 mi/h

Direction = 36.5° in NE(north of east)

Step-by-step explanation:

As given , A hot air balloon is flying at a constant speed of 20 mi/h at a bearing of N 36° E.

⇒θ = 36°

Let v₀ be the constant speed, then v₀ = 20

Let vₓ be the speed in East direction

     \(v_{y}\) be the speed in North direction

So,

vₓ  = v₀ sin(θ) = 20 sin(36°) + 10 ( As given, There is a 10mi/h cross wind blowing due east.)

⇒vₓ  = 20(0.588) + 10 = 11.76 + 10 = 21.76 mi/h

and   \(v_{y}\)  = v₀ cos(θ) = 20 cos(36°) = 20(0.809) = 16.18 mi/h

Now,

the actual speed = √(vₓ)² + (\(v_{y}\))²

                            = √(21.76)² + (16.18)²

                            = √473.498 + 261.792

                            = √735.29 =  27.12

⇒The actual speed = 27.12 mi/h

Now,

Direction = θ = \(tan^{-1}(\frac{v_{y} }{v_{x} } ) = tan^{-1}(\frac{16.18 }{21.76 } ) = tan^{-1}(0.74) = 36.5\)

⇒ Direction = 36.5° in NE(north of east)

Answer:

27.1 mi / h; N 53° E

Step-by-step explanation

Answer:

Positive.

Hope that this helps!

Answer:

a feminine noun is almost always used with feminine articles and adjectives

Answer:

4 am for me you probably live somewhere in america though

If you think that a 1% change in X leads to a certain percent change in Y, you may want to use a logarithmic transformation.

Specifically, you could take the natural logarithm of both X and Y, and then regress ln(Y) on ln(X). This will allow you to estimate the elasticity of Y with respect to X, which measures the percentage change in Y for a 1% change in X. Another option could be to use a power transformation, such as taking X to the power of a certain exponent (e.g. X^0.5) and regressing Y on this transformed X variable.

The choice of functional form will depend on the specific relationship between X and Y, as well as the assumptions and goals of your analysis.

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Answer:

No

Step-by-step explanation:

Total cups of the mixture = 40 c water + 70 c milk = 110 c

40/110 x 100 = 36.4% water

She is not correct.

By the alternating series test, this series converges: for \(k\in\Bbb N\),

\(\dfrac{k^5+1}{k^6+11}\)

is a positive, decreasing sequence that converges to 0.

However,

\(\displaystyle \sum_{k=2}^\infty \left| (-1)^{k+1} \frac{k^5+1}{k^6+11} \right| = \sum_{k=2}^\infty \frac{k^5+1}{k^6+11} \approx \sum_{k=2}^\infty \frac1k\)

is a divergent series by comparison to the harmonic series.

So the given series is conditionally convergent.

The given series is conditionally convergent. This can be obtained by using alternating series test first and then comparing the series to the harmonic series.

Initially we need to know what Absolute convergence and Conditional convergence,

If \(\sum|a_{n} |\) → converges, and \(\sum a_{n}\) → converges, then the series is Absolute convergence

If \(\sum|a_{n} |\) → diverges, and \(\sum a_{n}\) → converges, then the series is Conditional convergence

First use alternating series test,

\(\lim_{k \to \infty} \frac{k^{5} +1}{k^{6}+11 }\) = \(\lim_{n \to \infty} \frac{5}{6k}\) = 0,

The series is a positive, decreasing sequence that converges to 0.

Next by comparing the series to harmonic series,

\(\sum^{\infty} _{k=2}|(-1)^{k+1} \frac{k^{5} +1}{k^{6}+11 }|=\sum^{\infty} _{k=2}\frac{k^{5} +1}{k^{6}+11 }\) ≈  \(\sum^{\infty} _{k=2}\frac{1}{k}\) = 0

This implies that the series is divergent by comparison to the harmonic series.

First we got that the series is converging and then we got the series is divergent. Therefore the series is conditionally convergent.

\(\sum|a_{n} |\) → diverges, and \(\sum a_{n}\) → converges, then the series is Conditional convergence.

Hence the given series is conditionally convergent.

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y + x² - 4 is already in simplest form and the value of 6/5 ÷ 1/7 is 8.4.

A fraction with a reasonably prime numerator and denominator is the simplest form. It denotes that the fraction's numerator (upper or top portion) and denominator (lower or bottom portion) share no common component other than 1. A fraction is a value that denotes a portion of a larger whole.

A fraction's simplest form is also known as its reduced form. 3/4 is the simplest form of a fraction with a common component of one, for example. However, because 2/4 can be reduced further and expressed as 1/2, it is not the simplest form. In this case, 1/2 and 2/4 are equivalent fractions.

We have given two question

y + x² - 4 simplify and 6/5 ÷ 1/7 = ?

Lets simplify

y + x² - 4 is already in simplest form

For

6/5 ÷ 1/7

= 6/5 × 7/1

= 42/5

= 8.4

Thus, y + x² - 4 is already in simplest form and the value of 6/5 ÷ 1/7 is 8.4.

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Answer:

7h+3=45

Step-by-step explanation:

Answer:

73.15 seconds or one min and 3.15 seconds

Step-by-step explanation:

x = amount of time it took Jonah to run the race

68.49 + 4.66 = x

x = 73.15 seconds

Answer:

572 kilometers

Step-by-step explanation:

You multiply the 3 with 48 and whatever answer you get with that you add it to 428. Hope this helps :)

Answer:

572 kilometers

Step-by-step explanation:

The rectangle with dimensions 21 m by 21 m has the largest area among rectangles with a perimeter of 84 m.

To find the dimensions of a rectangle with a perimeter of 84 m that maximizes the area, we need to use the properties of rectangles.

Let's assume the length of the rectangle is l and the width is w.

The perimeter of a rectangle is given by the formula: 2l + 2w = P, where P is the perimeter.

In this case, the perimeter is given as 84 m, so we can write the equation as: 2l + 2w = 84.

To maximize the area, we need to find the dimensions that satisfy this equation and give the largest possible value for the area. The area of a rectangle is given by the formula: A = lw.

Now we can solve the perimeter equation for l: 2l = 84 - 2w, which simplifies to l = 42 - w.

Substituting this expression for l into the area equation, we get: A = (42 - w)w.

To maximize the area, we can find the critical points by taking the derivative of the area equation with respect to w and setting it equal to zero:

dA/dw = 42 - 2w = 0.

Solving this equation, we find w = 21.

Substituting this value of w back into the equation l = 42 - w, we get l = 42 - 21 = 21.

Therefore, the dimensions of the rectangle that maximize the area are l = 21 m and w = 21 m.

In summary, the dimensions of the rectangle are 21 m by 21 m, so the answer is A. 21, 21.

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The expression that represents the perimeter, in centimeters, of the triangle is (7m - 2) + (9m - 5) + (6n - 1).

The perimeter of a triangle is the sum of the lengths of its sides. Therefore, to find the perimeter of the triangle with side lengths (7m - 2) cm, (9m - 5) cm, and (6n - 1) cm, we need to add these lengths together.

Thus, the expression that represents the perimeter of the triangle is (7m - 2) cm + (9m - 5) cm + (6n - 1) cm.

Simplifying this expression, we get 16m + 6n - 8 cm, which is the final answer. Therefore, the perimeter of the triangle is 16m + 6n - 8 cm.

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Answer:

  (y -12)(y -4)

Step-by-step explanation:

This can be factored as the difference of squares:

  (y -8)² -16 = (y -8)² -4² = (y -8 -4)(y -8 +4) = (y -12)(y -4)

As a result, 47 degrees of freedom represent the essential t value ().

Least. To contrast one thing to another, degrees of comparison are employed. One thing or person is described in the positive degree. When comparing two things or people, utilize the comparative degree. Moreover, the exceptional degree is employed to describe groups, individuals, or more than two objects.

The following formula must be used to get the freedom degrees for the crucial t value ():

df = n - 1

where the sample size is "μ". The sample size in this instance is 48, so:

df = 48 - 1

df = 47

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Answer:

6 3/4 cups.

Step-by-step explanation:

Multiply 3/4 by 9.

Hope this helps!

The given equation is frac{13}{4x-4}=\frac{2}{x-1}+\frac{x+4}{8}. To solve for x, we first simplify the right-hand side by finding a common denominator. Multiplying the second term by frac{2}{2} and the third term by frac{x-1}{x-1}, we get:

frac{13}{4x-4}=\frac{2\cdot 8}{8(x-1)}+\frac{(x+4)(x-1)}{8(x-1)}

Simplifying the right-hand side, we get:

frac{13}{4x-4}=\frac{16}{8(x-1)}+\frac{x^2+3x-4}{8(x-1)}

Combining like terms, we get:

frac{13}{4x-4}=\frac{2x+12+x^2+3x-4}{8(x-1)}

Simplifying, we get:

13(8)=(2x+12+x^2+3x-4)(4x-4)

Expanding the right-hand side and simplifying, we get:

13(8)=4x^3-5x^2-23x+100

This is a cubic equation, which can be solved using various methods such as factoring, the rational root theorem, or numerical methods.

In summary, the given equation frac{13}{4x-4}=\frac{2}{x-1}+\frac{x+4}{8} can be solved by simplifying the right-hand side, combining like terms, and simplifying again to obtain a cubic equation. Various methods can be used to solve the cubic equation and find the value(s) of x.

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Answer:

.42

Step-by-step explanation:

the 5 bumps the 1 to a 2

We then applied the formula for factoring perfect square trinomials to obtain the fully factored form, which is 4(2x - 3)2.

To factor 16x2 - 48x + 36 completely, we can first factor out the greatest common factor of 4:

16x2 - 48x + 36 = 4(4x2 - 12x + 9)

Now,

we can see that the expression inside the parentheses is a perfect square trinomial, which can be factored as:

4x2 - 12x + 9 = (2x - 3)2

Therefore, putting the pieces together, we have:

16x2 - 48x + 36 = 4(4x2 - 12x + 9) = 4(2x - 3)2

Hence, the fully factored form of the given expression is 4(2x - 3)2, which is option D).

The reason why we can recognize 4x2 - 12x + 9 as a perfect square trinomial is because it has the form a2 - 2ab + b2, where a = 2x and b = 3. This form can always be factored as (a - b)2, which in this case gives (2x - 3)2. The factor of 4 in the final answer comes from the fact that we initially factored out a 4 from the given expression.

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The probability of losing less than $72 in total is 0.68.

To find the probability of losing less than $72 in total, we need to first calculate the expected loss for each game and then use the law of total probability to find the overall probability.

First, let's calculate the expected loss for each game. The expected loss for the first game is 36 * -2 = -72, and the expected loss for the second game is 50 * -1.5 = -75.

Now, we need to use the law of total probability to find the overall probability of losing less than $72 in total. The law of total probability states that the probability of an event occurring is the sum of the probabilities of the event occurring under each possible condition. In this case, the possible conditions are losing less than $72 in the first game and losing less than $72 in the second game.

So the overall probability of losing less than $72 in total is:

P(losing less than $72) = P(losing less than $72 in first game) + P(losing less than $72 in second game) - P(losing less than $72 in both games)
= (36/100) + (50/100) - (36/100) * (50/100)
= 0.36 + 0.5 - 0.18
= 0.68

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The probability of rolling an odd number given you have spun a red section is 1/3 or approximately 33.33%.

The probability of getting a sum of 7 is 20%.

There are three equally likely outcomes when you spin a red section: roll an odd number, roll an even number, or roll a 1. Of these three outcomes, only one corresponds to rolling an odd number. The probability will be:

= 1/3

= 33.33%

There are 5 possible outcomes when you spin the spinner and 6 possible outcomes when you roll the die, so there are 5 x 6 = 30 equally likely outcomes when you play this game. Therefore, the probability of getting a sum of 7 is 6/30 = 1/5 or 20%.

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The circumference of the sign is 8π yards.

Given that, the area of the sign is 16π yd².Therefore, the radius of the sign is: `r=√(Area/π)=√(16π/π)=√16=4 yards`.So, the circumference of the sign is: `C=2πr=2π(4)=8π yards`.Therefore, the circumference of Toni's new Starbucks franchise sign is 8π yards.

The area of a circle is given by the formula A = πr², where A is the area of the circle and r is the radius. Here, the area of the sign is given as 16π yd². So, we can use the formula A = πr² to find the radius of the sign.r² = A/π = (16π yd²) / πr² = 16The radius of the sign is r = √16 = 4 yards.Now that we know the radius of the sign, we can use the formula for the circumference of a circle to find the circumference of the sign. The circumference of a circle is given by the formula C = 2πr, where C is the circumference of the circle and r is the radius.C = 2πr = 2π(4) = 8π yardsTherefore, the circumference of Toni's new Starbucks franchise sign is 8π yards.

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The equation of the line perpendicular to the tangent to the curve y=x^3-4x+1 at the point (2,1) is y = (-1/8)x + 9/8.

To find the equation of the line perpendicular to the tangent to the curve at (2,1), we need to first find the slope of the tangent line at that point.

The derivative of y=x^3-4x+1 is y'=3x^2-4, so the slope of the tangent line at (2,1) is y'(2) = 3(2)^2-4 = 8.

Since we want the line perpendicular to the tangent, we know that its slope will be the negative reciprocal of the tangent's slope. Therefore, the slope of the line we're looking for is -1/8.

Next, we use the point-slope form of the equation of a line to write the equation of the line with the slope we found and passing through the point (2,1):

y - 1 = (-1/8)(x - 2)

Simplifying and putting the equation in slope-intercept form:

y = (-1/8)x + 9/8

Therefore, the equation of the line perpendicular to the tangent to the curve y=x^3-4x+1 at the point (2,1) is y = (-1/8)x + 9/8.

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Answer:

1

Step-by-step explanation:

rise/run

rise is 1

run is 1

1/1=1

hope this helps :3

if it did pls mark brainliest

Step-by-step explanation:

to find f(6) we basically see which y coordinate correlates with x = 6

in this case the answer is 5

All of the following are measures of central tendency except the range.

The range is a measure of dispersion, representing the difference between the largest and smallest values in a dataset. It provides information about the spread or variability of the data but does not provide information about the central tendency.

On the other hand, measures of central tendency are statistical measures that aim to summarize the center or typical value of a dataset. They include the mode, median, and mean.

The mode represents the most frequently occurring value(s) in the dataset.

The median is the middle value when the data is arranged in ascending or descending order. It divides the dataset into two equal halves.

The mean is the arithmetic average of all the values in the dataset. It is calculated by summing all the values and dividing by the total number of values.

Therefore, option C, range, is not a measure of central tendency as it focuses on the spread or dispersion of the data rather than summarizing the central or typical value.

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Answer:

Step-by-step explanation:

1.

\(2x^2+16x +30\\\\\mathrm{Factor\:out\:common\:term\:}2:\\\quad 2\left(x^2+8x+15\right)\\\\\mathrm{Factor}\:x^2+8x+15:\\\quad \left(x+3\right)\left(x+5\right)\\\\\\=2\left(x+3\right)\left(x+5\right)\)

2.

\(-4x^2+8x+32\\\\\mathrm{Factor\:out\:common\:term\:}-4:\\\quad -4\left(x^2-2x-8\right)\\\\\mathrm{Factor}\:x^2-2x-8:\\\quad \left(x+2\right)\left(x-4\right)\\\\=-4\left(x+2\right)\left(x-4\right)\)

The given equation is a recursive formula where a subscript i equals the product of a subscript i-1 and 2, with the initial value of a subscript 1 being -4a.

The equation represents a recursive relationship between the terms of the sequence. Starting with the initial term, a subscript 1, the subsequent terms are determined by multiplying the previous term, a subscript i-1, by 2. This recursive formula can be written as a subscript i = a subscript i-1 * 2.

Given that a subscript 1 = -4a, we can use this initial value to find the subsequent terms of the sequence. To calculate a subscript 2, we substitute i = 2 into the formula:

a subscript 2 = a subscript 2-1 * 2 = a subscript 1 * 2 = -4a * 2 = -8a.

Similarly, for a subscript 3:

a subscript 3 = a subscript 3-1 * 2 = a subscript 2 * 2 = -8a * 2 = -16a.

By applying the recursive formula repeatedly, we can generate the terms of the sequence. Each term is obtained by multiplying the previous term by 2.

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