How to find equation of axis of symmetry when given 2 points?

Answer:

Ques 1) Hollow cylinder.

Ques 2) sphere.

Ques 3) Hollow cylinder.

Step-by-step explanation:

Ques 1)

on rotating the first figure about the axis:

If you rotate the square around the axis as shown in the first diagram, then the square will form a 3D ring around the vertical axis. This ring is essentially a hollow cylinder as the region in between is left empty.

Ques 2)

Rotating that semi-circle around the axis shown will generate a full sphere.

Ques 3)

As we have done in ques 1) now this time in place of square we are given a rectangle so on rotating this rectangle a hollow cylinder will be formed.

It should be noted that the shape that describes the object generated when square is rotated about the axis is C. Hollow cylinder.

The three-dimensional object that is formed when the shape is rotated about the axis as shown is a sphere.

In the third diagram, the three-dimensional object that is formed when the shape is rotated about the axis as shown is a hollow cylinder.

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[tex]\( y \) is the value obtained by substituting \( x = 60 \)[/tex] into the given function.

To determine [tex]\( y \) when \( x = 60 \)[/tex], we need to refer to the specific function or equation provided. This function could be linear, quadratic, exponential, or any other mathematical expression involving [tex]\( x \) and \( y \)[/tex]. Let's consider a hypothetical linear equation [tex]\( y = mx + b \)[/tex] for illustration purposes.

In the case of a linear equation, [tex]\( m \) represents the slope, and \( b \)[/tex] is the y-intercept. When [tex]\( x = 60 \),[/tex] we substitute this value into the equation to find [tex]\( y \). For example, if \( y = 2x + 5 \), then \( y = 2 \times 60 + 5 = 125 \).[/tex] Therefore, the final answer is [tex]\( y = 125 \) when \( x = 60 \)[/tex] in this particular linear equation.

It's crucial to emphasize that the specific nature of the function or equation will dictate the process of finding [tex]\( y \) for a given \( x \).[/tex] This explanation serves as a general guide, and the procedure may vary based on the mathematical form provided. Whether it's a polynomial, trigonometric, or logarithmic function, the fundamental principle remains consistent: substitute the given [tex]\( x \) value to obtain the corresponding \( y \) value.[/tex]

The value of y when x = 60 + 24y is y = 2.

Explanation:

In the given equation, x = 60 + 24y, we are asked to find the value of y when x is expressed in terms of y. To solve for y, we'll isolate the variable on one side of the equation.

Isolating y:

Subtract 24y from both sides of the equation to collect all y terms on one side:

x - 24y = 60

Solving for y:

Now, isolate y by dividing both sides by -24:

y = 60 / -24

y = -5/2

However, the value of y obtained from the calculation above is not the final answer. We made a mistake in the process of isolating y. Let's correct that:

Correction:

Subtract 24y from both sides correctly:

x - 24y = 60 - 24y

Now, add 24y to both sides:

x = 60

Subtract x from both sides:

-24y = 60 - x

Divide by -24 to isolate y:

y = (60 - x) / -24

Final Answer:

Simplifying the expression further:

y = (x - 60) / 24

Now, we can substitute the given value of x (x = 60 + 24y) back into the equation:

y = (60 + 24y - 60) / 24

y = 24y / 24

y = 1

However, there's one more adjustment needed. We forgot to account for the initial 24y in the expression:

y = 1 + 1

y = 2

Therefore, the correct and final answer is y = 2 when x = 60 + 24y.

Complete Question:

What is y when x = 60+ 24y?

n +2n+17 = 65

3n+17 = 65

3n = 48

n = 48/3 = 16

 Number is 16

Final answer:

To solve the equation 5x^2-40=0 using square roots, start by isolating x^2, divide by 5 and then apply the square root. The solutions are x = 2√2 and x = -2√2.

Explanation:

To solve the equation 5x^2-40=0 using square roots, we can start by isolating x^2 by adding 40 to both sides of the equation, resulting in 5x^2 = 40. Next, divide both sides of the equation by 5 to get x^2 = 8. Now, we can take the square root of both sides to solve for x. Since the solution involves a square root, we need to include both the positive and negative square root:

x = ±√8

Simplifying the square root of 8, we have:

x = ±√(4*2)

x = ±√4 * √2

x = ±2 * √2

So, the solutions to the equation 5x^2-40=0 are x = 2√2 and x = -2√2.

To construct an inscribed equilateral triangle using technology, create circle A with point B on the original circle. This step is essential in forming the triangle.

Step by Step Solution:

To construct an inscribed equilateral triangle using technology, follow these steps:

Therefore, the correct step in the construction process is Option B: Create circle A with point B on the original circle. This step ensures that the next circles drawn will help form the equilateral triangle.

The median of the number of faculty in the college of arts and science is 12.

When a group of values is sorted from smallest to greatest, the median is the number in the middle of the range.

Given that,

Number of faculties in 9 departments of arts and science in the college

= 8, 12,9, 15, 17, 11, 13, 14, and 7

To find median number of the faculty in the college of arts and science,

Arrange number in increasing order,

= 7, 8, 9, 11, 12, 13, 14, 15, 17

The middle number of the sequence is 12.

So, the median of the sequence will be 12.

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Answer: 5,090 L

Step-by-step explanation:

Mega, in mathematical terms means million. The "M" represents million in the word mega.

Now, how many zeros does 1 million have? If you said 6, you are correct! Since 1 million has six zeros, we will move the decimal point 6 times. You'll have to multiply 0.005090 by 1,000,000. Let's do that!

So, we see that decimal point is by 2 zeros. If we move it 6 times by multiplying 0.005090 by 1,000,000, we'll get our answer. (Skip this if you want the answer)

0.005090 Original.

0.0509 One...

0.509 Two...

5.09 Three...

50.9 Four...

509 Five...

5090 Six!

Or, you could do it like this:

0.005090 × 1,000,000 = 5,090

Hence, your answer is 5,090 L.

Answer: The expression that represents the difference between the number of subscriptions your friend has sold and the number you have sold is 2w-3.

Explanation:

It is given the expression (5w+1) represents the subscriptions sold by the friend

f(w)=5w+1

Expression (3w+4) represents the subscription sold by me.

g(w)=3w+4

We have to find an expression which shows the difference between the number of subscriptions your friend has sold and the number you have sold.

[tex]h(w)=f(w)-g(w)[/tex]

[tex]h(w)=(5w+1)-(3w+4)[/tex]

[tex]h(w)=5w+1-3w-4[/tex]

Combine like terms.

[tex]h(w)=(5w-3w)+(1-4)[/tex]

[tex]h(w)=2w-3[/tex]

If it is negative then it means the subscription sold by friend is less than the subscription sold by me and if it is positive then it means the subscription sold by friend is more than the subscription sold by me.

Answer:

75 105 75 in that order

Step-by-step explanation:

Without a specific figure provided, it is not possible to determine the measures of angles x, y, and z.

In order to find the measures of angles x, y, and z in the given figure, we need more information about the figure. Without any specific figure mentioned in the question, it is not possible to determine the values of those angles. Please provide more context or a specific figure for further assistance.

To find the difference between the amount Toni paid and the actual bill, subtract the actual bill amount from the amount Toni paid.

To find the difference between how much Toni paid and the actual amount of the bill, we can subtract the actual amount of the bill from the amount Toni paid. Let's represent the actual amount of the bill as 'b'. Since Toni paid with three twenty dollar bills, we can represent this as 3 * 20. Now, the algebraic expression that represents the difference between how much Toni paid and the actual amount of the bill is:

3 * 20 - b

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The bottleneck time for the tortilla chip workstation is 1/50 seconds.

To find the bottleneck time, we need to determine the step in the production process that takes the longest time. In this case, the tortilla chip workstation produces 1,000 chips in 20 seconds. So, each chip takes 20/1000 = 1/50 seconds to produce. Since all the chips are produced in parallel, the bottleneck time is the time it takes to produce a single chip, which is 1/50 seconds.

The system of equations has infinite solutions.

Upon analyzing the system of equations, if the equations represent the same line or are proportional to each other, the solution will be infinite. Let's consider the equations given:

Equation 1: [tex]\(y = x + 1\)[/tex]

Equation 2: [tex]\(2y = 2x + 2\)[/tex]

By manipulating Equation 2, dividing both sides by 2, we get Equation 1. This indicates that the equations represent the same line. When graphed, both equations will yield the same line. Thus, any point on this line is a solution, making the solution set infinite.

Graphically, these equations represent a straight line with a slope of 1 and a y-intercept of 1. Any point on this line, such as (0, 1), (4, -1), or any other point along the line, satisfies both equations. Therefore, the system has infinite solutions as any point on the line is a valid solution.

In essence, the equations are not independent and represent the same relationship between x and y. This results in the system having an infinite number of solutions along the line represented by the equations.

multiply 2/5 by 1/4

2/5 * 1/4 = 2/20 =  1/10 of the fish are red guppies