$4.98 for 6 avocados

The structure of 12-crown-4 is shown below.

12-Crown-4, also known as lithium ionophore V and 1,4,7,10-tetraoxacyclododecane, is a crown ether with the chemical formula C8H16O4. It is a lithium cation-specific cyclic tetramer of the chemical compound ethylene oxide.

12-crown-4 combines with alkali metal cations, similar to other crown ethers. It has a strong selectivity for the lithium cation due to the cavity diameter of 1.2–1.5.

LiClO4 can be used as a template cation in a modified Williamson ether synthesis to create 12-Crown-4:

(CH2CH2O)4 + 2 NaCl + 2 H2O = (CH2OCH2CH2Cl)2 + (CH2OH)2 + 2 NaOH

In the presence of gaseous boron trifluoride, it can also result from the cyclic oligomerization of ethylene oxide.

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Step-by-step explanation:

We arrange the numbers in increasing order:

0.9, 1.4, 2, 2.4, 3.5

Since there are five terms, the median is the third term, which is 2.

The median of the given data set is 2.

The median is the middle number in a sorted, ascending or descending list of numbers.

Given is a data set, 1.4, 0.9, 2.4, 3.5, 2​, we need to find median,

Rearranging the data from lowest to greatest,

0.9, 1.4, 2, 2.4, 3.5

Since, the median is the middle most value in a data, therefore, the middle most value of the given data is 2.

Therefore, we can say the median is 2.

Hence, the median of the data is 2.

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The polynomial of the can not be factored over set of real numbers is x²+4x+5

A polynomial is an expression consisting of variable and coefficient involved mathematical operations like addition and subtraction e.t.c

A quadratic expression is derived by the formula;

x² - (alpha+beta)x + (alpha)(beta)

Where alpha and beta are the roots of the expression.

For a quadratic expression to a real numbers as root, b = (alpha+beta)

c = (alpha)(beta)

For the expression x² +4x+5

there are no factors of 5 that their sum will give 4. Therefore the polynomial that can not be factored by real number is x²+4x+5

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Answer:

m = \(\frac{1}{5}\) , c = - 4

Step-by-step explanation:

m is the slope of the line and is calculated using the slope formula

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

with (x₁, y₁ ) = (- 4, 0) and (x₂, y₂ ) = (1, 1) ← 2 points on the line

m = \(\frac{1-0}{1-(-4)}\) = \(\frac{1}{1+4}\) = \(\frac{1}{5}\)

c is the value of the y- intercept , where the line crosses the y- axis

the line crosses the y- axis at - 4, then c = - 4

The random variation that occurs in any time series is called the irregular component.

The irregular component refers to the random fluctuations or unpredictable patterns that are observed in a time series. It represents the unexplained variability in the data that cannot be attributed to any identifiable pattern, such as seasonal patterns, cyclical effects, or trends. It is often characterized by short-term fluctuations that occur randomly and do not follow a specific pattern or trend.

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a) (61 + 58 + 57 + 64 + 60)/5 = 60. b)The calculations are: Mean: 60 (from part a), Deviations from the mean: -1, -2, -3, 4, 0, Squared deviations: 1, 4, 9, 16, 0, Sum of squared deviations: 30, Variance (s2): 30/4 = 7.5, Point estimate of σ2: (s2)2.5 = 18.75

c) The central limit theorem (CLT) is unlikely to hold because the sample size is only 5, which is considered small. d) The 95% confidence interval for μ is (52.38, 67.62). f) We reject the assumption that σ2 = 2.5 at the 0.05 level of significance.

(a) The point estimate of μ (the population mean) is the sample mean. To calculate it, add up the scores and divide by the number of scores:
(61+58+57+64+60)/5 = 300/5 = 60

(b) The point estimate of σ^2 (the population variance) is the sample variance. To calculate it, first find the mean (already calculated as 60), then find the squared difference between each score and the mean, sum them up, and divide by (n-1) which is 4 in this case:
[(1^2) + (2^2) + (3^2) + (4^2) + (0^2)]/4 = (1+4+9+16+0)/4 = 30/4 = 7.5

(c) The central limit theorem is unlikely to hold because the sample size (n=5) is too small. For the theorem to hold, the sample size should be larger (typically, n ≥ 30).

(d) To construct a 95% confidence interval for μ, assuming the population is normally distributed and σ is 2.5, we can use the t-distribution. However, since the sample size is too small, this assumption may not hold, and the confidence interval may not be accurate.

(e) With the assumptions in place, to evaluate the professor's claim that the population mean is greater than 86, we can perform a t-test using a 0.05 level of significance. However, considering the sample mean is 60, which is far less than 86, it's highly unlikely that the population mean would be greater than 86.

(f) To challenge the assumption that σ^2 = 2.5^2 = 6.25, we can compare it with our calculated sample variance (7.5). Since the sample variance is different from the assumed population variance, we can challenge the assumption, but we need a larger sample size to make a more accurate assessment.

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This given equation dy dt = 2ty +1, y(0) = -3 is separable.

The solution to the initial value problem is h(t) =y(t) = \((9/7) t^2 - (9/7) 2^2 e^(-7t) + 238\).

To determine whether the given differential equation is separable, we need to check if it can be written in the form of:
dy/dt = f(t)g(y)
In this case, the equation is dy/dt = 2ty + 1.

We can rearrange it as:
dy/(2ty + 1) = dt
This suggests that the equation is separable, and we can proceed to solve it using integration. Integrating both sides, we get:
\(1/2 ln(2ty + 1) = t^{2 + C}\)
where C is the constant of integration. Multiplying both sides by 2 and exponentiating, we obtain:
\(2ty + 1 = e^(2t^2 + 2C)\)
Solving for y, we get:
y(t) = \((e^(2t^2 + 2C) - 1)/(2t)\)
To find the value of C, we use the initial condition y(0) = -3. Substituting t = 0 and y = -3, we get:
-3 = \((e^(2C) - 1)/0\)
This is undefined, which means that the given initial value problem does not have a unique solution. Therefore, the equation is separable, but the initial value problem is ill-posed.
Moving on to the second equation, y'+7y = 9t + 238 with y(2) = 0, we can see that it is a first-order linear equation, which can be solved using an integrating factor. Multiplying both sides by \(e^(7t)\), we get:
\(e^(7t) y' + 7e^(7t) y = (9t + 238) e^(7t)\)
The left-hand side can be rewritten as:
d/dt \((e^(7t) y) = (9t + 238) e^(7t)\)
Integrating both sides with respect to t, we obtain:
\(e^(7t) y = (9/7) t^2 e^(7t) + 238 e^(7t) + C\)
where C is the constant of integration. Solving for y, we get:
y(t) = \((9/7) t^2 + 238 + Ce^(-7t)\)
Using the initial condition y(2) = 0, we can find the value of C as:
0 = \((9/7) 2^2 + 238 + Ce^(-7*2)\)
C =\(- (9/7) 2^2 e^(14) - 238\)
Substituting this value of C in the equation for y, we get:
y(t) = \((9/7) t^2 - (9/7) 2^2 e^(-7t) + 238\)

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Therefore, the correct answer is (B) No, she needs 1/2 cup more.

To determine if Patricia has enough rice cereal for her recipe, we need to calculate the total amount of rice cereal she has after all her actions and compare it to the 3 cups required for the cereal clusters.

Initially, Patricia had 5 cups of rice cereal. She used 3 cups to make granola bars, leaving her with 2 cups. She then borrowed 0.5 cup from her friend, which brings her total to 2.5 cups.

Finally, she needs 3 cups of rice cereal for the cereal clusters recipe. Since she only has 2.5 cups, she does not have enough rice cereal and needs to get more. Therefore, the correct answer is B) No, she needs 1/2 cup more.

She then borrows 0.5 cup, so she now has 2 + 0.5 = 2.5 cups.

needs 3 - 2.5 = 0.5 cups more.

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Answer:

62%

Step-by-step explanation:

This is bc a percent is out of every 100, so an equation we can make is 62/100 = x/100, therefore bby solving this equation:

you get x = 62%

Hope this helps

Answer:

345

Step-by-step explanation:

Her total pay for the week would be: $250 + 0.30x Isabella make in a week if she made x dollars in sales.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It is represented as a number between 0 and 1, where 0 means that the event is impossible and 1 means that the event is certain.

If Isabella made $1875 in sales in a week, her commission would be 30% of $1875, which is:

0.30 x $1875 = $562.50

Therefore, her total pay for the week would be her guaranteed salary plus her commission:

$250 + $562.50 = $812.50

If Isabella made x dollars in sales in a week, her commission would be 30% of x, which is:

0.30x

Therefore, her total pay for the week would be: $250 + 0.30x

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The value of a in the right triangle is 5

From the question, we have the following parameters that can be used in our computation:

The right triangle

Using the pythagoras theorem, we have

(leg₁)² + (leg₂)² = (hypotemuse) ²

Substitute the known values in the above equation, so, we have the following representation

(a + 1)² + (a + 3)² = (a + 5)²

When evaluated, we have

a = 5

Hence, the value of a is 5

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Answer:

(x,y) = (0,3)

Step-by-step explanation:

\(A:3x-2y = -6\\B:3x+4y=12\\B-A: 3x-3x+4y-(-2y)=12-(-6)\\simplify: 0x+6y=18\\6y=18\\divide\ by\ 6\ on both sides: y=3\\plug 3 into either equation: 3x+4(3)=12\\3x+12=12\\3x=0\\Therefore,\ x=0,y=3\\\\Check work:\ 3(0)-2(3)=0-6=-6\)

Answer:

find the value of 8x³-y³if 2x-yandxy=-1

Answer:

1.125 ft²

Step-by-step explanation:

Take the height and the diagonals, multiply, and then divide by 2

On solving the provided question, we can say that in the quadrilateral BD = 11, BC = 8, DC = 8 and perimeter of ABCD is = 38

A quadrilateral is a four-sided polygon in geometry that has four edges and four corners. The word is a derivative of the Latin words quadri and latus (meaning "side"). Having four sides, four vertices, and four corners, a rectangle is a two-dimensional form. Concave and convex come in primarily two varieties. Additionally, there are several subclasses of convex quadrilaterals, including trapezoids, parallelograms, rectangles, rhombuses, and squares. Four straight sides make up a rectangle, which is a two-dimensional form. There are several different types of quadrilaterals, including parallelograms, trapezoids, rectangles, kites, squares, and rhombuses.

in the quadrilateral

BD = 11 ( equal angle have equal sides)

BC = 8

DC = 8

perimeter of ABCD is = 38

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Answer:

Yes

Step-by-step explanation:

they are both equal to 3:4

21:28 can be reduced by 7

21/7=3

28/7=4

and 6:8 can be reduced by 2

6/2=3

8/2=4

Slack represents the buffer or flexibility available in the project schedule, allowing for adjustments and potential delays without affecting the project's critical path.

In project network analysis, slack refers to the difference between the latest start and earliest start times of an activity. It represents the amount of time that an activity can be delayed without affecting the overall project duration.

The latest start time (LS) is the latest point in time an activity can start without delaying the project completion. It is determined by considering the dependencies and constraints of the project schedule. The earliest start time (ES) is the earliest possible point in time an activity can start based on its dependencies and the project schedule.

By subtracting the earliest start time from the latest start time, we calculate the slack or float of an activity. If an activity has positive slack, it means there is flexibility in its start time, and it can be delayed without impacting the project's critical path or completion date. On the other hand, if the slack is zero or negative, it indicates that any delay in the activity will affect the project's overall duration, making it critical.

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Answer:

-58

Step-by-step explanation:

Answer:-58

Step-by-step explanation:

Answer:

y = - \(\frac{5}{2}\) x - 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

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

with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (0, - 2) ← 2 points on the line

m = \(\frac{-2-3}{0-(-2)}\) = \(\frac{-5}{0+2}\) = - \(\frac{5}{2}\)

the line crosses the y- axis at (0, - 2 ) ⇒ c = - 2

y = - \(\frac{5}{2}\) x - 2 ← equation of line

The answer choice which explains whether the function is a direct variation or not is; This function represents a direct variation because it passes through the origin and has a constant rate of change of $5 per hour.

It follows from the task content that the function passes through the origin and hence, if the function was represents as a linear function, it's y-intercept would be zero.

Furthermore, the slope, otherwise termed it's rate of chage is constant and is evaluated as; $5 per hour. Hence, the aforementioned form the basis for the classification of the function as a direct variation.

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Answer:

1) solve x+1/x = 5

\( \frac{x + 1}{x} = 5\)

\(x + 1 = 5x\)

\(x - 5x = - 1\)

\( - 4x = - 1\)

\(x = \frac{ -1}{ - 4} \)

\(x = \frac{1}{4} \)

2) solve x³+1/x³

\(x {}^{3} + \frac{1}{x {}^{3} } \)

substitute x = 1/4 into the expression

\(( \frac{1}{4} ) {}^{3} + \frac{1}{( \frac{1}{4}) {}^{3} } \)

\( \frac{1}{64} + \frac{1}{ \frac{1}{64} } \)

\( \frac{1}{64} + \frac{64 \times 1}{1} \)

\( \frac{1}{64} + 64\)

\( \frac{4097}{64} \: or \: 64.02\)

When estimating a confidence interval for variance, the statistical table that we use is option (E) The chi square table

When estimating a confidence interval for variance, we are trying to determine a range of values that we are confident the true population variance falls within. To calculate this confidence interval, we use the chi-square distribution, which is a probability distribution that is often used in statistical inference.

The chi-square distribution arises when we consider the sum of the squares of standard normal deviates, or equivalently, when we consider the sum of squared deviations from the mean of a normal distribution. The degrees of freedom for the chi-square distribution depend on the sample size and are n-1, where n is the sample size.

To estimate a confidence interval for the population variance, we first calculate the sample variance and then use the chi-square distribution to find critical values that define the confidence interval. The critical values are determined by the desired level of confidence and the degrees of freedom, and they can be found in a chi-square table.

Therefore, the correct option is (E) The chi square table

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Answer:

We have the proportion: 8/10 = 100/y

We can solve for y by cross-multiplying.

That is, 8y = 100 * 10 Simplifying the right-hand side, 8y = 1000

Dividing both sides by 8 to solve for y, y = 125

Hence, the value of y is 125.

Finally, we have the expression: y = √80We can simplify this expression by factoring 80 into its prime factors:80 = 2 * 2 * 2 * 2 * 5

Taking the square root of 2 * 2 * 2 * 2, we have:√(2 * 2 * 2 * 2) = 2 * 2 = 4

Therefore, y = 4√5The value of y is 4√5.

Step-by-step explanation:

Hope this helps!! Have a good day/night!!

Answer:

What is the probability that a randomly selected person is on the swim team?

28 out of 67 people are on the swim team

so that's 28/67

41.7910448% round to the nearest tenth

41.8% is the answer.

Step-by-step explanation:

Answer:

1. x

2. 8-2x

3. width times 8-2x times x

4. Don't understand.

5. I don't know?

6. The volume is (6 - (2x))(8 - (2x))(x).

Step-by-step explanation:

Answer:

12 ounces

Step-by-step explanation:

there is 16 ounces in 1 pound. so all you have to do is multiply the 3/4 times 16

or

4 oz = 1/4 lb  therefor, 12 oz =  3/4 lb

Center = (3,-4)   Radius = 5

This equation is already in standard form so you just have to pull out the h and k values which in this case are 3&4, just remember to flip the signs so it'll be 3&-4. Just square the right side and that is the radius, in this case 5

To find the number of units x that produces the minimum average cost per unit c, we need to differentiate the given equation with respect to x and set it equal to zero. This will give us the value of x that minimizes the cost per unit. Taking the derivative of C = 0.08x^3 + 51x^2 + 1295 with respect to x, we get 0.24x^2 + 102x. Setting this equal to zero and solving for x, we get x = -425/6 or x = 0.

Since the number of units cannot be negative, we discard the negative value and conclude that the minimum average cost per unit c is produced when x = 0. Plugging x = 0 back into the original equation, we get c = 1295, which is the minimum cost per unit. Therefore, to minimize the average cost per unit, it is best to produce zero units.

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Answer:

∠A = 120° (180°-60°)

∠W = 60° (b/c ∠W=∠X)

∠Y = 100° (b/c 180°-80°)

∠X = 60° (180°-120°)

∠Z = 120° (180-60°)

Step-by-step explanation:

im unsure about A and W

Answer: