Temperature sensitive medication is stored in a refrigerated compartment maintained at -10°C. The medication is contained in a long thick walled cylindrical vessel of inner and outer radii 24 mm and 78 mm, respectively. For optimal storage, the inner wall of the vessel should be 6°C. To achieve this, the engineer decided to wrap a thin electric heater around the outer surface of the cylindrical vessel and maintain the heater temperature at 25°C. If the convective heat transfer coefficient on the outer surface of the heater is 100W/m².K., the contact resistance between the heater and the storage vessel is 0.01 m.K/W, and the thermal conductivity of the storage container material is 10 W/m.K., calculate the heater power per length of the storage vessel.

The value of the standard deviation is approximately 2.38 (rounded off to two decimal places).

Given the following data:

- Population mean (μ) = 16

- Z-score (Z) = -1.26

- Data value (X) = 13

To calculate the standard deviation (σ), we can use the formula:

Z = (X - μ) / σ

Substituting the given values into the formula:

-1.26 = (13 - 16) / σ

Simplifying the equation:

-1.26σ = -3

Dividing both sides by -1.26:

σ = -3 / (-1.26)

Calculating the result:

σ ≈ 2.38

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Answer: hope this helped!

Step-by-step explanation:

the clues for set up are all right in front of you:

x= first angle's measurement

x+5 = second angle's measurement

3x = third angle's measurement.

Their sum is 180 degrees; thus you can add the three expressions to get an equation that you can solve.

Learn from this example, please.

substituting the value of x and y in the eqn,

3×-2 - ( 4×-2 + 6×3 )

-6 - (-8 + 18 )

-6 - 10

■ -16

Check the picture below.

since the cliff is 48 feet tall, thus that its initial height.

\(~~~~~~\textit{initial velocity in feet} \\\\ h(t) = -16t^2+v_ot+h_o \quad \begin{cases} v_o=\textit{initial velocity}&8\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&48\\ \qquad \textit{of the object}\\ h=\textit{object's height}&\\ \qquad \textit{at "t" seconds} \end{cases} \\\\\\ h(t)=-16t^2+8t+48\)

well, as you can see in the picture, its maximum is at its vertex, so

\(\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-16}x^2\stackrel{\stackrel{b}{\downarrow }}{+8}x\stackrel{\stackrel{c}{\downarrow }}{+48} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 8}{2(-16)}~~~~ ,~~~~ 48-\cfrac{ (8)^2}{4(-16)}\right)\implies \left(\cfrac{1}{4}~~,~~48-\cfrac{64}{-64} \right)\)

\(\left( \frac{1}{4}~~,~~48+1 \right)\implies \stackrel{\textit{the ball is at highest}}{\left(\frac{1}{4}~~,~~\stackrel{\downarrow }{49} \right)}\)

well, it hits the ground when y = 0.

\(\stackrel{h(t)}{0}=-16t^2+8t+48\implies 0=8(-2t^2+t+6)\implies 2t^2-t-6=0 \\\\\\ (2t+3)(t-2)=0\implies t= \begin{cases} -\frac{3}{2}\\\\ 2~~\textit{\large \checkmark} \end{cases}\)

notice, we didn't use the negative value, since "t" must be greater than 0.

To find the measure of angle YXZ, we can use the properties of a circle. In a circle, the measure of an inscribed angle is half the measure of the intercepted arc.

Given that the length of arc YZ is 6π, we know that the measure of arc YZ is also 6π. Since XY is a diameter of the circle, it divides the circle into two equal arcs, each with a measure of π.

Since angle YXZ intercepts arc YZ, the measure of angle YXZ is half the measure of arc YZ, which is half of 6π.

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The error in finding the measure of one exterior angle of a regular polygon lies in using the formula 360°/n, where n is the number of sides of the polygon.

The formula 360°/n is used to find the measure of each exterior angle of a regular polygon. It is based on the idea that the sum of all exterior angles of any polygon is always 360 degrees. However, this formula assumes that the polygon has internal angles of 180°, which is true only for regular polygons.

The error occurs when this formula is applied to a non-regular polygon, as non-regular polygons have varying internal angles. Using the formula 360°/n for a non-regular polygon will give incorrect results because the internal angles are not all equal.

For regular polygons, each exterior angle is indeed 360°/n, and the sum of all exterior angles will be 360 degrees. However, for non-regular polygons, this formula cannot be used, and the measures of exterior angles must be calculated differently based on their internal angles and sides.

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The error in finding the measure of one exterior angle of a regular polygon is they divided 360 by 10 instead of 5.

Given that,

There are a total of 10 exterior angles, two at each vertex, so the measure of one exterior angle is 360°/10 = 36°.

Here, at each vertex there are two angles.

So, there must be 5 vertices and 5 sides.

Then, the measure of one exterior angle = 360°/5

= 72°

Therefore, the error in finding the measure of one exterior angle of a regular polygon is they divided 360 by 10 instead of 5.

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"Your question is incomplete, probably the complete question/missing part is:"

Describe and correct the error in finding the measure of one exterior angle of a regular polygon. There are a total of 10 exterior angles, two at each vertex, so the measure of one exterior angle is 360°/10 = 36°.

The z-score when x = 89 is approximately 2.632. This means that 89 is 2.632 standard deviations to the right of the mean.

To find the z-score when x = 89, we can use the formula:

z = (x - μ) / σ

where x is the value (89 in this case), μ is the mean (64 in this case), and σ is the standard deviation (9.5 in this case).

Substituting the given values:

z = (89 - 64) / 9.5

z ≈ 2.632

So, the z-score when x = 89 is approximately 2.632. This means that 89 is 2.632 standard deviations to the right of the mean.

Please note that the mean is 64, as stated in the problem.

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When the company asked its customers to describe how satisfied they were with the latest product, it's a discrete data.

It should be noted that the main distinction between continuous and discrete data is that the former has a finite value that can be counted while the latter has an endless number of possible values that can be measured.

A count involving integers is referred to as discrete data because there are a finite number of possible values. This kind of data cannot be separated into separate components. Discrete data consists of discrete variables that are non-negative, countable, and finite.

In this case, it should be noted that the measurement was taken based on their satisfaction. Therefore, it's a discrete variable.

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Answer:

x = -2, x = 6

Step-by-step explanation:

18 = 3|x - 2| + 6

12 = 3|x - 2|

4 = |x - 2|

4 = x - 2    and    -4 = x - 2

x = 6    and    x = -2

Answer:

C

Step-by-step explanation:

x = -2    x = 6

got it right on EDGE

28000 + 29000 + 32000 + 33000 = 122,000

122,000 / 4 = 30,500

Answer:

28 feet

Step-by-step explanation:

Since each side length of the square is 1 foot.

Let x represent the length of the small slant side and y represent the length of the long slant side. Hence:

x² = 5² + 1²

x² = 26

x = √26 = 5.1 feet

y² = 6² + 3²

y² = 45

y = 6.7 feet

The perimeter of the figure is the sum of all the sides of the figure, hence:

Perimeter = 11 feet + 4 feet + 5.1 feet + 6.7 feet + 2 feet = 28.8 feet

Therefore the best estimate of the perimeter of the figure below is 28 feet.

Answer:

30

Step-by-step explanation:

Answer:

The value of x = 27

Step-by-step explanation:

Given:

48x² : 64x⁴ ::: x : 36x²

Find:

The value of x

Computation:

(a)(d) = (b)(c)

(48x²)(36x²) = (64x⁴)(x)

(1,728x⁴) = (64x⁵)

x = 27

The value of x = 27

Following are the solution to the given expression:

Given:

\(\to 48x^2 : 64x^4 :: x : 36x^2\)

To Find:

x=?

Solution:  

\(\to 48x^2 : 64x^4 :: x : 36x^2\)

\(\to \frac{48x^2}{ 64x^4} =\frac{ x}{ 36x^2}\\\\\)

cross multiply:

\(\to \frac{48x^2 \times 36x^2}{ 64x^4} =x\\\\\to x= \frac{48x^2 \times 36x^2}{ 64x^4} \\\\\to x= \frac{48 \times 36}{ 64} \\\\\to x= \frac{6 \times 9}{ 2} \\\\\to x= 3 \times 9\\\\\to x=27\)

Therefore, the answer is "27".

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Answer:

the sky is a blanket of stars and his words are daggers are metaphors the rest are similes

Step-by-step explanation:

i did it on edg

Metaphors:

The sky is a blanket of stars

His words are daggers

Similes:

The sky is like a blanket of stars

His words are as sharp as daggers

His words are live daggers

We have,

Metaphors and similes are both figures of speech used to make comparisons between two unrelated things.

They create vivid and imaginative descriptions by equating or likening one thing to another.

Metaphors directly state that one thing is another thing, without using "like" or "as."

They make a direct comparison by asserting that something is something else.

For example, "The sky is a blanket of stars" compares the sky to a blanket of stars, implying that the sky is vast and filled with numerous stars.

Similes, on the other hand, use "like" or "as" to make a comparison between two things.

They highlight similarities by stating that one thing is like or resembles another thing.

For instance, "The sky is like a blanket of stars" implies that the sky shares some characteristics with a blanket of stars, such as its vastness and the sense of being covered.

Thus,

Metaphors:

The sky is a blanket of stars

His words are daggers

Similes:

The sky is like a blanket of stars

His words are as sharp as daggers

His words are live daggers

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The correct answer is "algorithm."

An algorithm is a step-by-step procedure or set of rules that specifies a sequence of logical and mathematical operations to solve a particular problem or perform a specific task. It provides a systematic approach to problem-solving, outlining the necessary actions and decisions required to achieve the desired outcome. Algorithms can be represented in various forms, such as pseudocode, flowcharts, or programming languages.

The use of algorithms is fundamental in computer science, mathematics, and other fields that require problem-solving and data manipulation. They serve as the foundation for creating efficient and effective solutions, enabling automation, optimization, and decision-making processes. Algorithms can be simple or complex, and their design and analysis play a crucial role in ensuring accuracy, efficiency, and reliability in various applications.

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Answer:

306

Step-by-step explanation:

3x3=9

9x34=306

hope it helps

Answer:

26635.2

Step-by-step explanation:

pi18.8^2=~1109.8

1109.8*24=26635.2

Constructing a confidence interval for the mean of a distribution based on one sample is Confidence level = 1 - significance level.

The definition of the confidence level is (1-α). Zα is the number of standard deviations from the mean at which X with a certain probability lies. If Z = 1.96 is selected, the likelihood that the real mean falls inside the range is set at 0.95, hence we are asking for the 95% confidence interval.

Let us consider,

Confidence level = c

significance level \(= \alpha\)

\(c = 1 - \alpha\)

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Answer:

$24

Step-by-step explanation:

if you multiply 32 by .25 you get 8 which i subtracted from 32 to get the original price

Answer:$18

Step-by-step explanation:

32 * (0.75) * (0.75) = 18

The ending inventory amount is p68,000: (200 x 65) + (300 x 68) + (150 x 70) - (500 x 68) = 68,000.

1. Calculate the total cost of the beginning inventory: 200 units x p65 = p13,000

2. Calculate the total cost of the first purchase: 300 units x p68 = p20,400

3. Calculate the total cost of the second purchase: 150 units x p70 = p10,500

4. Calculate the total cost of the units sold: 500 units x p68 = p34,000

5. Calculate the total cost of the ending inventory amount : (13,000 + 20,400 + 10,500) - 34,000 = p68,000

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Answer:

I think it would take it 9 hours

to solve this first we need to find out the value of the inside function and then of the outside:

f(g(-7))

first, we need to know g(-7), and from the bottom table we can see is 21

now we replace it:

f(g(-7)) = f(21) and on the top table we see it's -3

so the answer of a is -3

and the same for the others:

b. f(g(-5))

g(-5)= 11

f(g(-5))=f(11)= 6

so b. 6

c. g(f(8)) here we need to see the top table first

f(8)=9

g(f(8))=g(9)= 8

so c. 8

d. g(f(14))

f(14)=3

g(f(14))=g(3)= 15

so d.15

By using metrics such as revenue or profit per hour, we can compare the profitability of different time intervals and identify the most and least profitable ones.

To analyze profitability, we can use a metric such as revenue or profit per hour. For instance, we can calculate the revenue generated in each time interval, divide it by the number of hours in that interval to get the revenue per hour. Then, we can compare the revenue per hour in different intervals to determine which ones are more profitable than others.

The time intervals could be hourly, or you could divide them into smaller segments, such as 15 or 30-minute intervals, depending on your data's granularity. For instance, we could analyze data for the morning, afternoon, and evening time intervals, which are typically the busiest times for most businesses.

Now, to answer your question, based on my analysis of the sample data, the least profitable time interval was the afternoon.

This finding means that during this interval, the business generated the least revenue or profit per hour compared to the other intervals.

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Based on the above, the proportion of the population who said yes is  78%.

To be able to calculate the population proportion who said yes,  you  have to divide the number of students who said "Yes" by the total amount or number of students in the  whole population:

Hence it will be:

Population proportion who said yes = 741/950

= 0.78

= 78%

So, the proportion of the population who said yes is 0.78 or 78%.

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See text below



At a high school with 950 total students, the true opinions of the entire student body on whether they approve of the student council president are shown below. Follow the directions below to determine a confidence interval for a sample of size 125.

Population Yes 741, Population No 209,  Population Size 950

Population proportion who said yes: ---

If someone has endometriosis, it means that tissue from the uterus has moved out of the uterus and implanted itself outside of the uterine cavity. It is not related to infection from an STI or the transformation of uterine tissue into tumors on the ovaries.

Additionally, the condition is characterized by the presence of tissue from the uterus that cannot be shed from the body during menstruation.

Endometriosis is a medical condition in which tissue similar to the lining of the uterus, called the endometrium, grows outside of the uterus. This tissue can implant and grow on various organs and tissues within the pelvic region, such as the ovaries, fallopian tubes, and pelvic lining.

It is important to note that endometriosis is not caused by an infection from a sexually transmitted infection (STI) or the transformation of uterine tissue into tumors on the ovaries. It is primarily characterized by the abnormal presence and growth of endometrial-like tissue outside of the uterus.

One of the key symptoms of endometriosis is the inability of this misplaced tissue to be shed from the body during menstruation. This can lead to inflammation, pain, and the formation of scar tissue. The condition can also cause fertility issues in some individuals.

In summary, if someone has endometriosis, it means that tissue from the uterus has moved out of the uterus and implanted itself outside of the uterine cavity. It is not caused by an STI, the transformation of uterine tissue into ovarian tumors, or the normal shedding of uterine tissue during menstruation.

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Answer:

hi

Step-by-step explanation:

hi

Answer:

Quadrant 2 and 3

Approximately, 113 and 247 degrees.

Step-by-step explanation:

I just used Desmos and graphed the equation. The values of theta are 113 and 247.

Answer:

(AB) is longer than (AC)

Step-by-step explanation:

1. Approach

Use the distance formula to find the length of the segments (AC) and (AB); substitute their endpoints into the distance formula and simplifying to solve for the length. After finding the length of each segment, compare their lengths to find out which of the statements is true. The distance formula is as follows:

\(D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Where (\((x_1,y_1)\)) and (\((x_2,y_2)\)) are the endpoints of the segment.

2. Find the length of (AC)

Coordinates of point (A): \((-1,1)\)

Coordinates of point (C): \((-4,4)\)

Substitute these points into the distance formula,

\(D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

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

Simplify,

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

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

\(D=\sqrt{(3)^2+(-3)^2}\)

\(D=\sqrt{9+9}\)

\(D=\sqrt{18}\)

3. Find the length of (AB)

Coordinates of point (A): \((-1,1)\)

Coordinates of point (B): \((0,-4)\)

Substitute these points into the distance formula,

\(D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

\(D=\sqrt{((-1)-(0))^2+((1)-(-4))^2}\)

Simplify,

\(D=\sqrt{((-1)-(0))^2+((1)-(-4))^2}\)

\(D=\sqrt{(-1-0)^2+(1+4)^2}\)

\(D=\sqrt{(-1)^2+(5)^2}\)

\(D=\sqrt{1+25}\)

\(D=\sqrt{26}\)

4. Find the correct statement

(AB) is longer than (AC)

This statement is true for the following reason:

\(\sqrt{18}>\sqrt{26}\)

Answer:

The answer is D

Point B on line AB, which is tangent to circle O, has a length of 12 units. The circle is intersected by the line AO from point A to the circle's centre at point C, and the line segment AC has a length of 8 units.

If you know the circumference C, you can calculate the radius of a circle using the formula r = C / (2 * ). If you know a circle's diameter, d, you can calculate its radius using the formula r = d / 2. The line AB crosses the circle at the precise locations P and Q. Here, the line AB is known as the secant of the circle.

Due to the fact that the endpoints of the line segment P Q are on the circle's circumference, it is known as the circle's chord.The two-headed arrow over AB designates a line that passes through points A and B. The name of a line that crosses two distinct points A and B is written as "line AB" or as.

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