The circumference of a hula hoop is 86\pi \text{ cm}86π cm86, pi, start text, space, c, m, end text. What is the radius of the hula hoop? \text{cm}cm

For the transformation at -78 °C, appropriate reagents include lithium aluminum hydride (LiAlH4) and diethyl ether.

At -78 °C, certain chemical reactions require the use of specific reagents to achieve the desired transformation. One commonly used reagent is lithium aluminum hydride (LiAlH4), which acts as a strong reducing agent. It is capable of reducing various functional groups, such as carbonyl compounds, to their corresponding alcohols.

Diethyl ether is typically employed as a solvent to facilitate the reaction and ensure efficient mixing of the reactants. Researchers often utilize this low temperature for reactions involving sensitive or reactive intermediates, as it helps control the reaction and prevent unwanted side reactions.

The use of LiAlH4 and diethyl ether provides a reliable combination for achieving the desired transformation at this temperature, enabling chemists to manipulate and modify compounds in a controlled manner.

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Answer:

1

Step-by-step explanation:

→ Write down slope formula

\(\frac{y2-y1}{x2-x1}\)

→ Identify the values

y₂ = 9, y₁ = 6, x₂ = 6 and x₁ = 3

→ Substitute in values into formula

\(\frac{9-6}{6-3}\)

→ Simplify

1

The equation for the described function can be written as:

y = cos(x - π) - 9/2

Let's break down the components of the equation:

The cosine function, cos(x), produces a periodic wave with an amplitude of 1.

The period of the cosine curve is determined by the coefficient in front of the angle, which is 1 in this case. A period of 1 corresponds to one complete cycle of the cosine curve.

The left phase shift of π shifts the entire curve to the right by π units.

The vertical translation down by 9/2 units shifts the entire curve downwards by 9/2 units.

Therefore, the equation y = -cos(x - π) - 9/2 represents a cosine curve with the given characteristics.

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Answer:

4 and then 15

Step-by-step explanation:

second one: 6:4

last one: 15:10

Answer:

x= 5.5

Step-by-step explanation:

18=12x-48

-12x= -48-18

-12x= -66

x= -66/-12

x= 5.5

Answer:

Okay so first you distribute 6 into the parenthesis that gives you

18=12x-48

Then you add 48 on both sides

66=12x

then you divide

X=5.5

Step-by-step explanation:

The angle between the vectors can be found using the dot product. The formula is θ= |A| =√(x12 + y12 + z12) The angle between the vectors -2i + 3j + k and i + 2j - 4k is approximately 137.8 degrees.

v1 • v2 = (-2i + 3j + k) • (i + 2j - 4k)

= -2 - 6 + 1 = -7

|v1| = \(\sqrt{((-2)^2 + 3^2 + 1^2)}\)

=\(\sqrt{(4 + 9 + 1)}\)

=\(\sqrt{14}\)

|v2| = \(\sqrt{((1)^2 + 2^2 + (-4)^2)}\)

= \(\sqrt{(1 + 4 + 16) }\)

= (\(\sqrt{21}\)

θ= |A| (-7/\(\sqrt{14}\)\(\sqrt{21}\))

=  |A| (-7/21*14)

=  |A|(-7/294)

= 137.8 degrees

The angle between two vectors can be found using the dot product formula. This formula isθ= |A| =√(x12 + y12 + z12). In the case of the vectors -2i + 3j + k and i + 2j - 4k, this formula can be used to find the angle between them. The dot product of the two vectors is -2 - 6 + 1 = -7. The magnitude of the first vector, |v1|, can be found using the Pythagorean theorem, which is

\(\sqrt{((-2)^2 + 3^2 + 1^2)}\)

= \(\sqrt{(4 + 9 + 1)}\)

= \(\sqrt{14}\).

The magnitude of the second vector, |v2|, can be found using the Pythagorean theorem, which is

\(\sqrt{((1)^2 + 2^2 + (-4)^2)}\)

= \(\sqrt{(1 + 4 + 16)}\)

= \(\sqrt{21}\)

Once the dot product and magnitudes are known, the angle between the two vectors can be found using the formula .Therefore, the angle between the two vectors is approximately 137.8 degrees.

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The correctanswer is-the percentage of the pieces that will meet the length specs is 98.78%.

The given data may be a random variable that takes after the normal distribution with mean μ=64 and standard deviation σ=0.1

The required value is to discover the rate of the pieces that will meet the length specs which is between 63.76 and 64.24 inches.

To find the required percentage, standardize the given limits as follows: Lower Limit: (63.76 - μ) / σ= (63.76 - 64) / 0.1 = -2.4

Upper Limit: (64.24 - μ) / σ= (64.24 - 64) / 0.1 = 2.4

Using the Standard Normal Distribution Table, the probability that the value will fall between -2.4 and 2.4 is found to be 0.9878.

The required percentage is then found by multiplying the probability by 100, which is: Percentage = 0.9878 x 100% = 98.78%

Therefore, the percentage of the pieces that will meet the length specs is 98.78%.

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The continuous proportional change in y when years of service increases from three years to five years is:Δy/y = (y_5 - y_3) / y_3= e^(ln(y_5) - ln(y_3)) / y_3= e^(-0.2Δt) = e^(-0.2*2)= e^(-0.4)≈ 0.6703The proportional change in y when years of service increases from three years to five years is approximately 0.6703.

A. Using non-linear equation (1), we are to calculate the market value y after three years of service (t=3) and after five years of service. Further, calculate the simple (discrete) proportional change in y when the vehicles go from three years of service to five years of service (i.e., the market value with three years of service is the base for the calculation).Given equation is y = 40e^(-0.025-0.2t)Where t = 3, the market value y is:y = 40e^(-0.025-0.2(3))= 40e^(-0.625)= 22.13 thousand dollarsWhere t = 5, the market value y is:y = 40e^(-0.025-0.2(5))= 40e^(-1.025)= 14.09 thousand dollarsSo, the discrete proportional change in y when the vehicles go from three years of service to five years of service is:proportional change in y = (y_5 - y_3) / y_3 * 100%= (14.09 - 22.13) / 22.13 * 100%= -36.28%B. We need to apply the natural log transformation to equation (1).

Therefore, we take the natural log of both sides of the equation.y = 40e^(-0.025-0.2t)ln(y) = ln(40e^(-0.025-0.2t))= ln(40) + ln(e^(-0.025-0.2t))= ln(40) - 0.025 - 0.2tSo, we get the transformed equation as:ln(y) = -0.025 - 0.2t + ln(40)Now, let's take the derivative of both sides of this transformed equation, with respect to t. We get:1 / y * dy/dt = -0.2This equation doesn't exhibit constant marginal effect because dy/dt depends on y. Therefore, we can't say that a one unit increase in x would always lead to the same proportional change in y.C. (i) Use the slope term from your transformed equation from part B to directly calculate the continuous proportional change in y when years of service increases from three years to five years. Given transformed equation is:ln(y) = -0.025 - 0.2t + ln(40)When years of service increases from three years to five years, then change in t is:Δt = 5 - 3 = 2

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Answer:

6,3

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

WX/AB = 12/8 = 3/2

Answer: 3/2

Answer:

Table 4 represents a function because each x-value corresponds to exactly one y-value.

The approximate probability that the observed responses would be as far or farther from the expected responses if there is no association between age-group and preference is approximately 0.1282.

To determine the probability that the observed responses would be as far or farther from the expected responses if there is no association between age-group and preference, we need to calculate the p-value associated with the test statistic.

Since the p-value is not provided directly, we cannot determine the exact probability. However, we can make an estimation based on the given options.

The p-value represents the probability of obtaining a test statistic as extreme or more extreme than the observed value, assuming no association between the variables. A smaller p-value indicates stronger evidence against the null hypothesis of no association.

Among the given options, the smallest value is 0.0001. If this were the correct option, it would suggest a very small probability of the observed responses occurring by chance alone if there were no association.

To make an estimation, we typically compare the p-value to a significance level (usually 0.05) to determine statistical significance. If the p-value is smaller than the significance level, we reject the null hypothesis in favor of the alternative hypothesis.

Based on the options provided, the closest value to the conventional significance level of 0.05 is 0.1282. This suggests that if the p-value associated with the test statistic of 4.108 is approximately 0.1282 or larger, the observed responses would not be considered statistically significant, and we would fail to reject the null hypothesis of no association between age-group and preference.

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Answer:

Step-by-step explanation:

The answer is A 4.5.

To determine this, we need to look at the given numbers and find the missing number that would fit logically in the sequence. We can see that the numbers are ordered from least to greatest and that the missing number falls between 3.71 and V17.

Option A, 4.5, falls within this range and could logically be the missing number. Options B, C, and D are not within this range and do not fit logically in the sequence.

The vertical change in elevation is 1.06 miles.

The angle of elevation is an angle that is formed between the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.

From the right triangle formed, the adjacent side to the angle of elevation is 5 miles and the vertical change in elevation is the opposite side. From the trigonometric function, the tangent of an angle,

tan 12° = x / 5 miles

The value of x from the equation is 1.06 miles.

Thus, the vertical change in elevation is 1.06 miles.

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The vertical change in elevation from the point where the surveyor is standing to the point on the mountain = 1.06 miles

Here, angle of elevation θ = 12°

Let y be the the vertical change in elevation from the point where the surveyor is standing to the point on the mountain and x be the horizontal distance between the point on the mountain and the surveyor.

x = 5 miles

We need to find the value of y.

Consider tangent of angle of elevation θ

tan(θ) = y/x

tan(12°) = y/5

0.2126 = y/5

y = 0.2126 × 5

y = 1.06 miles

So, the vertical change in elevation = 1.06 miles

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Answer:

The answer is 12,14

Step-by-step explanation:

hope this helps

Below is the answer

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The limit exists and the exact answer is 0.

To evaluate the limit or determine that it does not exist, we need to find the value of the function as (x,y) approaches (0,0).

lim ( x , y ) → ( 0 , 0 ) ( x + y + 3 ) e ^ (− 1 / ( x ^ 2 + y ^ 2 ))

First, we can simplify the expression by substituting (0,0) for (x,y):

lim ( 0 , 0 ) → ( 0 , 0 ) ( 0 + 0 + 3 ) e ^ (− 1 / ( 0 ^ 2 + 0 ^ 2 ))

This simplifies to:

lim ( 0 , 0 ) → ( 0 , 0 ) ( 3 ) e ^ (− 1 / 0 )

As the denominator in the exponent approaches 0, the value of the exponent approaches negative infinity. This means that the value of e to the negative infinity approaches 0:

lim ( 0 , 0 ) → ( 0 , 0 ) ( 3 ) ( 0 )

The limit of this expression is 0, so the limit of the original expression is also 0:

lim ( x , y ) → ( 0 , 0 ) ( x + y + 3 ) e ^ (− 1 / ( x ^ 2 + y ^ 2 )) = 0

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Answer:

240/a^2

Step-by-step explanation:

4b/a=240/a^2 we can't find it's value in numbers. if a=1 then b=60

if a=2 then. b=30 etc.

Answer:

Theoretical probability is what is expected and experimental probability is the answer.

Step-by-step explanation:

Theoretical probability is what you expected the answer to be. In reality the experimental probability is the actual answer.

Answer:

32 i think

Step-by-step explanation:

Answer:

Symmetry is correspondence of the form and arrangement of elements or parts on opposite sides of a dividing line. imagine that this ractangle is a piece of paper, you need to fold it two times, different ways. in this case when you fold it over the horizontal colored line all colored parts will match, same case when you fold it vertically.

Answer:

its z y and x

Step-by-step explanation:

can i pls get brainliest

The probability P(|X - Y| ≤ 1/2) is equal to 1 or 100%.

To find the probability P(|X - Y| ≤ 1/2), we need to determine the area of the region where the absolute difference between X and Y is less than or equal to 1/2.

Consider the unit square [0, 2] × [0, 2]. We can divide it into two triangles and two rectangles:

Triangle A: The points (x, y) where x ≥ y.

Triangle B: The points (x, y) where x < y.

Rectangle C: The points (x, y) where x ≥ y + 1/2.

Rectangle D: The points (x, y) where x < y - 1/2.

Let's calculate the areas of these regions:

Area(A) = (base × height)/2 = (2 × 2)/2 = 2

Area(B) = (base × height)/2 = (2 × 2)/2 = 2

Area(C) = 2 × (2 - 1/2) = 3

Area(D) = 2 × (2 - 1/2) = 3

Now, let's calculate the area of the region where |X - Y| ≤ 1/2. It consists of Triangle A and Triangle B, as both triangles satisfy the condition.

Area(|X - Y| ≤ 1/2) = Area(A) + Area(B) = 2 + 2 = 4

Since the total area of the unit square is 2 × 2 = 4, the probability P(|X - Y| ≤ 1/2) is the ratio of the area of the region to the total area:

P(|X - Y| ≤ 1/2) = Area(|X - Y| ≤ 1/2) / Area([0, 2]2) = 4 / 4 = 1

Therefore, the probability P(|X - Y| ≤ 1/2) is equal to 1 or 100%

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Answer:

1/3

Step-by-step explanation:

Answer:

y

=

−

3

x

2

+

30

x

−

71

Explanation:

the equation of a parabola in  

vertex form

is.

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

∣

∣

∣

2

2

y

=

a

(

x

−

h

)

2

+

k

2

2

∣

∣

∣

−−−−−−−−−−−−−−−−−−−−−  

where  

(

h

,

k

)

are the coordinates of the vertex and a

is a multiplier

here  

(

h

,

k

)

=

(

5

,

4

)

⇒

y

=

a

(

x

−

5

)

2

+

4

to find a substitute  

(

7

,

−

8

)

into the equation

−

8

=

4

a

+

4

⇒

a

=

−

3

⇒

y

=

−

3

(

x

−

5

)

2

+

4

←

in vertex form

distributing and simplifying gives

y

=

−

3

(

x

2

−

10

x

+

25

)

+

4

y

=

−

3

x

2

+

30

x

−

75

+

4

⇒

y

=

−

3

x

2

+

30

x

−

71

←

in standard form

Step-by-step explanation:

Answer:

\(x=2y-3\)

Step-by-step explanation:

So we have the equation:

\(2y=x+3\)

And we want to solve it for x. In other words, we want to isolate the x-variable. To start, first subtract 3 from both sides. The right side cancels:

\((2y)-3=(x+3)-3\\2y-3=x\)

And, that's it :)

If preferred, we can also switch the equation around using the symmetric property:

\(x=2y-3\)

Answer:

\(\Large \boxed{\sf{x=2y-3}}\)

Step-by-step explanation:

\(\sf We \ have \ the \ equation: \\ \\ 2y = x+3 \\ \\ We \ need \ x \ on \ one \ side \of \ the \ equation. \\ Solve \ for \ x. \\ \\ Subtract \ 3 \ from \ both \ sides. \\ \\ 2y-3=x+3-3 \\ \\ Simplify \ the \ equation. \\ \\ 2y-3=x\)

The critical value approach specifies a region of values, called the critical region or rejection region. If the test statistic falls into this region, we reject the null hypothesis.

In hypothesis testing, the critical value approach is a method used to determine whether to reject or fail to reject the null hypothesis. This approach involves specifying a level of significance, alpha (α), which is the maximum probability of making a Type I error (rejecting the null hypothesis when it is true).

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All statements are true except last statement is false

The inner quartile range (IQR) is a measure of statistical dispersion, which is the spread of data. The formula to find the inner quartile range takes the value of the third quartile  and subtracts the value of the first quartile. Similarly, the inner quartile range is the range between the 75th and 25th percentiles (75 - 25 = 50% of the data).

We can make the following observations from this boxplot:

 IQR is 6

5 represents the number of students in or below the lowest quartile

each share is 25%

The median is greater than the IQR

You can find the IQR by finding the difference between the upper and lower quartiles

If a new student moved into the classroom and  read 25 books, that would increase the selection

Therefore, the following statements are true:

 IQR is 6

5 represents the number of students in or below the lowest quartile

each share is 25%

The median is greater than the IQR

You can find the IQR by finding the difference between the upper and lower quartiles

If a new student moved into the classroom and  read 25 books, that would increase the selection

The following statement is false:

Most  data represents 10  or more books (since most data appears to be 0-8 books)

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