The number of turns in the capacitor is approximately 5.1.
How we get the number of turns (n)?The number of turns in the capacitor can be calculated using the formula:
n = L / [π(D + t)]where L is the length of the sheets, D is the diameter of the pipe, and t is the thickness of the sheets.
Using the provided values, we can calculate the number of turns as follows:
L = 0.8 mD = 5 cm = 0.05 mt = negligible (assumed to be much smaller than D)n = 0.8 / [π(0.05)]= 5.092 (rounded to one decimal place)
In this problem, we are asked to calculate the number of turns in a capacitor made from sheets of wax paper and aluminum foil that are rolled on a pipe of diameter 5 cm. We are given the length of the sheets as 0.8 m.
To calculate the number of turns, we can use the formula that relates the length of the sheets, diameter of the pipe, and thickness of the sheets to the number of turns in the capacitor. Assuming the thickness of the sheets is much smaller than the diameter of the pipe, we can ignore the thickness in the calculation.
Using the provided values and this formula, we find that the number of turns is approximately 5.1. This means that the sheets need to be rolled around the pipe about 5 times to create the capacitor.
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please I need right answers
Based on the given information, the angle is C. 22.1° an A. 20.4°.
What are Trigonometric functions?Trigonometric functions are mathematical functions that relate the angles and sides of a right triangle.
The basic trigonometric functions are:
Sine (sin): the ratio of the length of the side opposite an angle to the length of the hypotenuse of the triangle.
Cosine (cos): the ratio of the length of the side adjacent to an angle to the length of the hypotenuse of the triangle.
Tangent (tan): the ratio of the length of the side opposite an angle to the length of the side adjacent to the angle.
We can use the trigonometric function tangent to find angle R in the right triangle:
tan(R) = opposite/adjacent = PQ/QR
tan(R) = 5.2/13.4
R = tan⁻¹(5.2/13.4)
R ≈ 22.1°
Therefore, the answer is C. 22.1° rounded to one decimal place.
Using the Pythagorean theorem, we can find the length of side AB:
AB = √(AC² - BC²)
= √(25² - 10²)
= √(575)
Now we can use the sine function to find the measure of angle C:
sin(C) = BC/AB
C = sin⁻¹(BC/AB)
= sin⁻¹(10/√(575))
≈ 20.4°
Therefore, the answer is A) 20.4°.
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The table above shows the price for different numbers of business cards. Which equation models the
total cost
can someone help me with this please..........
Answer:
m = [tex]\frac{y-b}{x}[/tex]
Hope this helps!
Step-by-step explanation:
y = mx + b
mx = y - b
[tex]\frac{mx}{x}[/tex] = [tex]\frac{y-b}{x}[/tex]
m = [tex]\frac{y - b}{x}[/tex]
Line passing through the points H(- 25.16) and 1(- 2.5).
Answer:
I'm assuming that 1 is actually a point with coordinates (1, something) and you meant the point H(25,-16).
To find the equation of the line passing through two points (x1,y1) and (x2,y2), we can use the point-slope form:
y - y1 = m(x - x1)
where m is the slope of the line, which can be calculated as:
m = (y2 - y1) / (x2 - x1)
Using the points H(25, -16) and 1(-2.5, y), we have:
m = (-16 - y) / (25 - (-2.5)) = (-16 - y) / 27.5
Multiplying both sides by 27.5, we get:
-16 - y = -0.58x + b
where x is the x-coordinate and b is the y-intercept of the line. To find b, we plug in one of the points (let's use H) and solve for b:
-16 - (-16) = -0.58(25) + b
b = -16 - (-14.5) = -1.5
Therefore, the equation of the line passing through H(25, -16) and 1(-2.5, y) is:
y + 1.5 = -0.58(x + 2.5)
or:
y = -0.58x - 4.25
Note: I assumed that you meant H(25,-16) and I used -2.5 as the x-coordinate for point 1 because you didn't specify what it was.
find the circumference of the base of circular flower pot with a diameter of 16.2
The circumference of the base of a circular flower pot with a diameter of 16.2 is 50.92.
Circumference of the circle or perimeter of the circle is the measurement of the boundary across any two-dimensional
circular shape including circle.
The circumference of a circle is the distance around its boundary.
If d is the diameter of the circle, then the circumference is given by:
Circumference = π × d
Circumference = π × 16.2
Using π ≈ 3.1415926,
we can calculate the circumference:
Circumference ≈ 3.1415926 × 16.2
Circumference ≈ 50.92
Therefore, the circumference of the base of a circular flower pot with a diameter of 16.2 is approximately 50.92.
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A cube-shaped box has edges
that are 6 centimeters long. The
box does not have a top. What is
the surface area of the box?
Please please, please someone help me I've been struggling for so long and my teacher won't help :(
Answer with explanation:
Slope:hope you find this easy to understand....
Have any questions? Write in the comments.
give me brainliest if you found this answer useful
Pete scored 3/9 of the goals in a game. If Pete scored 9 goals, how many goals were scored in total
Answer:
then he's scored all the goals 9/9
Answer the question correctly.
What is 518.1 rounded to the nearest whole number?
Answer:
518
Step-by-step explanation:
Since you are rounding to the nearest whole number.
518.1 would need to be 518.5 or higher to be 519 so anything below that would just round up the 518
What is the solution to this system?
Thw solution to the given system of equations as required to be determined in the task content is; (-1, 0).
What is the solution to the given system of equations?It follows from the task content that the solution to the given system of equations is to be determined as required.
since the given equations are;
y = -3x - 3 and y = 4x + 4
Since; y = y
-3x - 3 = 4x + 4
7x = -7
x = -7 / 7
x = -1.
and y = -3 (-1) - 3; y = 0.
Ultimately, the solution (x, y) to the given system of equations as required to be determined is; (-1, 0).
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Pizza Paradise recently sold 15 pizzas, 5 of which were pepperoni pizzas. Consider this data, how many of the next 75 pizzas sold would you expect to be pepperoni pizzaas?
Select the survey question that will produce categorical data. A. How long does it take to finish math homework each night? B. How much time do you spend on social media each day? C. What were the class scores on the last math quiz? D. What is your favorite snack food?
Answer:
3
Step-by-step explanation:
cdawwwwwwCharles has two six-sided die. one of the die is fair, and the other die is biased so that it comes up six with probability 2 3 and each of the other five sides has probability 15 1 . charles chooses one of the two dice at random and rolls it three times. given that the first two rolls are both sixes, the probability that the third roll will also be a six is p q, where p and q are relatively prime positive integers. find p q. (2014 aime ii problem 6 )
The value of P and Q is 35.
Let's first understand the given information:
Charles has two six-sided dice, one fair and one biased. The fair die has equal probabilities for each side (1/6). The biased die has a 2/3 probability for rolling a six and 1/15 probability for each of the other five sides. Charles chooses a die randomly and rolls it three times.
Given that the first two rolls are sixes, we are asked to find the probability that the third roll will also be a six, expressed as a simplified fraction p/q.
We can solve this problem using conditional probability. Let A be the event that Charles chooses the biased die, and B be the event that he rolls three sixes in a row. We want to find the probability of B given A.
P(B|A) = P(A ∩ B) / P(A)
Since Charles chooses the die randomly, P(A) = 1/2. To find P(A ∩ B), we need to find the probability that Charles chooses the biased die and rolls three sixes in a row. This can be calculated as:
P(A ∩ B) = P(A) * P(rolling three sixes with the biased die) = (1/2) * (2/3)^3
Now we can find P(B|A):
P(B|A) = P(A ∩ B) / P(A) = ((1/2) * (2/3)^3) / (1/2) = (2/3)^3 = 8/27
Thus, the probability that the third roll will also be a six, given that the first two rolls are sixes, is 8/27, so the answer is p + q = 8 + 27 = 35.
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Help what’s 5/8 divided by 6
Answer:
5/48
Step-by-step explanation:
the first thing you would do is change 6 into the reciprocal, which is 1/6. After, you multiply the fractions just like that.
hope this helps!! :3
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Find the measure of angleq, the smallest angle in a triangle whose sides have lengths 4, 5, and 6. round the measure to the nearest whole degree. 34° 41° 51° 56°
The measure of the smallest angle, angle Q, is approximately 41°.
To find the smallest angle in the triangle with side lengths 4, 5, and 6, we can use the cosine rule.
The cosine rule states that for any triangle with sides a, b, and c and corresponding angles A, B, and C:
[tex]cos(A) = (b^2 + c^2 - a^2) / (2 * b * c)[/tex]
In our case, since we want to find the smallest angle, we need to find the angle opposite the smallest side.
The smallest side is 4, so we are looking for angle A.
The other sides, b and c, are 5 and 6 respectively.
Step 1: Plug in the side lengths into the cosine rule formula.
[tex]cos(A) = (5^2 + 6^2 - 4^2) / (2 * 5 * 6)[/tex]
Step 2: Calculate the values inside the parentheses.
cos(A) = (25 + 36 - 16) / (60)
Step 3: Simplify the equation.
cos(A) = (45) / (60)
Step 4: Divide the numbers.
cos(A) = 0.75
Step 5: Now, to find angle A, take the inverse cosine [tex](cos^(-1))[/tex] of the result.
A = cos^(-1)(0.75)
Step 6: Calculate the angle in degrees.
A ≈ 41.41°
Step 7: Round the angle to the nearest whole degree.
A ≈ 41°.
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a person on a 2,500 calorie diet states that they are healthier than a person on a 2,000 calorie diet because they eat more from veggies.Explain why this is or is not accurate.?????
please help i need it now pleas.
t is not accurate to claim that someone is healthier simply because they consume more calories or more vegetables. A variety of factors, including the quality and nutrient density of the food consumed, physical activity levels, genetics, and overall lifestyle choices, all contribute to overall health. Therefore, it is important to consider a comprehensive approach to evaluating health rather than relying solely on calorie intake as a metric.
What is genetic?
Genetics refers to the study of genes, heredity, and variation in living organisms. Genes are segments of DNA that contain instructions for building and maintaining an organism, and they are passed down from parents to their offspring through reproduction.
Simply comparing the number of calories consumed by two individuals is not a sufficient way to determine who is healthier. While consuming a diet with a variety of vegetables can certainly contribute to good health, there are many other factors that can affect overall health.
For example, the quality and nutrient density of the food consumed is important, not just the quantity. A person consuming 2,000 calories from nutrient-dense whole foods, including a variety of vegetables, may be healthier than someone consuming 2,500 calories from highly processed, nutrient-poor foods.
Additionally, individual factors such as physical activity levels, genetics, and overall lifestyle choices can also impact overall health. Therefore, it is important to take a comprehensive approach to evaluating health rather than relying solely on calorie intake as a metric.
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What is the total cost of a $708 tablet computer that is on sale at 15% off if the local sales tax rate is 4%?
The total cost of the tablet is $
(Round to two decimal places
The required total cost of the tablet computer is $625.87.
How to find the cost of the tablet computer that is on sale at 15% off?
A sales discount, also referred to as a "discount," gives customers of a company a discount on one or more of the offered goods or services. Limits can be applied to almost any industry or business offering deals of an item or administration.
According to question:The discounted price of the tablet computer is:
[tex]$\begin{align*}708 \times 0.85 &= 601.80\end{align*}[/tex]
The sales tax on the tablet computer is:
[tex]$\begin{align*}601.80 \times 0.04 &= 24.072\end{align*}[/tex]
Therefore, the total cost of the tablet computer, including sales tax, is:
[tex]$\begin{align*}601.80 + 24.072 &= 625.87\end{align*}[/tex]
Therefore, the total cost of the tablet computer is $625.87.
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of 4 goats give 4 kg milks in 4 days so how much milk given by 9 goats in 9 days?
Answer:
Step-by-step explanation:
supply. /. time. /. work
4. / 4 /. 4
1 /. 4. /. 1
9. /. 4 / 9
9 /. 9 / 20.25
you need to divide 9 by 4 and them multiply your 9 by what you got from the the division which is 2.25
Find the exact area of a circle is the circumference is 58 π
Answer:
2640.74
Step-by-step explanation:
Circumference : π * 2r
Area of circle : π * [tex]r^{2}[/tex]
For this particular circumference,
Circumference : π * 58
58 = 2r
So by dividing we learn that,
r = 29
When we substitute the radius into the equation for area, we get,
Area of circle : π * [tex]29^{2}[/tex]
Area of circle : π * 841
Area of circle : 2640.74
* I used 3.14 as π
Hope this helps ! Feel free to ask questions! : )
At a baseball game, 45% of the fans are wearing jackets. Also, 30% of the fans are wearing baseball caps. Whether a fan is wearing a jacket is independent of whether the fan is wearing a baseball cap. What is the probability that a randomly selected fan is not wearing a jacket and is wearing a baseball cap?
A13.5%
B16.5%
C75%
85%
Answer: The answer is (B) 16.5%.
Step-by-step explanation:
+10 and -10, are 10 units from 0 on the number line. Enter the correct answer.
It is true that +10 and -10, are 10 units from 0 on the number line
How to determine the true statementfrom the question, we have the following parameters that can be used in our computation:
Numbers = +10 and -10
The number of units of these numbers from 0 is calculated as
Units = |0 - Number|
So, we have
Units = |0 - 10| = 10
Units = |0 + 10| = 10
This means that the number of units is 10
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Given the cost function C(x) = 0.75 + 63, 180 and the revenue
function R(x) = 1.92x, find the break-even point.
The break-even point is 54,000 units given the cost function and revenue function.
The break-even point is the moment at which a product's sales revenue equals its production costs. There is currently neither a gain nor a loss.
This problem's cost function is C(x) = 0.75x + 63,180, where x is the total number of created units. R(x) = 1.92x, where x is the quantity of units sold, is the revenue function.
We must set the revenue equal to the expense in order to determine the break-even point:
R(x) = C(x) (x)
1.92x = 0.75x + 63,180
1.17x = 63,180
x = 54,000
Thus, 54,000 units are needed to break even.
This means that the money earned will be equivalent to the cost of creating the product if the company produces and sells 54,000 units of it. The corporation will make money on any units sold over this threshold while losing money on any units sold below it.
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A diagram of a porch is shown. If the distance are measured in meters, find the area or the porch.
28 m
32 m
40 m
24 m
Answer: The answer is B, or 32 m.
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
ASAP!!!
Which of the following tables represents a linear function?
Answer:
table 1
Step-by-step explanation:
You want to know which of the four given tables represents a linear function.
1.The x-values increase by 2; y-values decrease by 2/3. The rate of change is constant. This is a linear function.
2.The x-values increase by 2; y-values decrease, then increase again. The rate of change is not constant. This is not a linear function.
3.The x-values increase by 2; y-values increase by changing amounts. The rate of change is not constant. This is not a linear function.
4.The x-values repeat. This is not a function.
Mirando asked Jimmy, "Do you have a college degree?"
Is this a statistical question?
Choose 1 answer:
Answer: No, it’s not a statistical question
Step-by-step explanation:this question only pertains to one person and it not something that can be represented as a statistic.
Find the surface area of the triangular prism.
list the length, width, height, and base.
The surface area of the given figure is 90sq inches which include 3 rectangular faces and two triangular faces.
EquationsArea of 1 rectangular face is 6.5x5=32.5.
Area of 2 rectangular face is 5x6=30
Area of 3 rectangular face is 2.5x5=12.5
Area of the two triangluar faces= 2.5x6x0.5x2=15
Total area is 90 sq inches.
What is surface area of joined figures?To find the surface area of a joined figure, we need to add up the surface areas of all the individual components of the figure.
For example, if we have a figure made up of a rectangular prism and a pyramid attached to the top, we can find the surface area by first calculating the surface area of the rectangular prism:
Surface area of the rectangular prism = 2lw + 2lh + 2wh
Surface area of the pyramid = (1/2)3.14 + B
Finally, we add the surface area of the rectangular prism to the surface area of the pyramid to get the total surface area of the joined figure.
Total surface area = Surface area of the rectangular prism + Surface area of the pyramid
This method can be applied to any joined figure made up of multiple components. We just need to find the surface area of each individual component and then add them up.
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find a ratio that compares the relative sizes of the quantities
24 ounces to 12 pounds
We need to convert both quantities to the same units before we can compare them.
24 ounces is equal to 1.5 pounds (since there are 16 ounces in 1 pound).
So the ratio of 24 ounces to 12 pounds can be written as:
1.5 pounds : 12 pounds
Simplifying this ratio by dividing both sides by 12, we get:
0.125 : 1
Therefore, the ratio that compares the relative sizes of 24 ounces to 12 pounds is 0.125 : 1.
An isosceles trapezoid has a perimeter of 56.2 millimeters. Its shorter base measures 9.2 millimeters and its longer base measures 12.4 millimeters. The two remaining sides have the same length; what is that length?
The length of the remaining two equal sides is 17.3 millimeters.
What is Triangle ?
A triangle is a geometric shape that consists of three line segments or sides and three angles. Triangles are one of the basic shapes in geometry, and they are used extensively in many fields of mathematics, science, engineering, and art.
Let's denote the length of the remaining two equal sides by "x".
Since the trapezoid is isosceles, the two equal sides have the same length.
The perimeter of a trapezoid is the sum of the lengths of all its sides. Therefore, we can set up an equation based on the information given:
shorter base + longer base + 2(equal sides) = perimeter
Substituting the values we know, we get:
9.2 + 12.4 + 2x = 56.2
Simplifying the equation:
21.6 + 2x = 56.2
2x = 34.6
x = 17.3
Therefore, the length of the remaining two equal sides is 17.3 millimeters.
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