Can you help me with this slope-intercept form equation, please?

The cross section of a cylinder is a circle. This is because a cylinder is formed by two circular bases connected by a curved surface. When the cylinder is sliced perpendicularly to its bases, the cross section will be a circle.

To prove this mathematically, let us consider a cylinder with radius r and height h. The volume of the cylinder is V = πr²h. If the cylinder is sliced perpendicularly to its bases, its cross section can be considered as a circle with radius r. The area of the circle is A = πr². Since the volume of the cylinder is equal to the area of the cross section multiplied by the height, we can say that V = A * h. This implies that A = V/h. Since we already know that V = πr²h, we can substitute the value of V in the above equation to get A = πr²h/h. Cancelling both h from the equation, we get A = πr². This means that the area of the cross section of the cylinder is equal to the area of a circle with radius r. Therefore, the shape of the cross section of the cylinder is a circle. Hence, the shape of the cross section of a cylinder is a circle.

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Answer:

29°

Step-by-step explanation:

:)

The function h(z) = 1 4iz + 2 defined on the extended complex plane,

(a) The function h(z) = 1/(4iz + 2) can be expressed as a composition of the linear function g(z) and reciprocal function f(z).

(b) The image of the line y = 2 under w = h(z) is the point z = -3/(8i).

(c) The image of the circle |z - i| = 1/2 under w = h(z) is the two points z = i + √7/2 and z = i - √7/2.

(a) To express the function h(z) = 1/(4iz + 2) as a composition of a linear function g(z) and reciprocal function f(z), we can rewrite h(z) as follows:

h(z) = 1/(4iz + 2)

= 1/(4i(g(z)) + 2)

= 1/f(g(z))

Here, g(z) represents the linear function and f(z) represents the reciprocal function. To determine g(z), we set g(z) = 4iz + 2.

Therefore, the composition of the linear function g(z) and the reciprocal function f(z) is:

h(z) = 1/f(g(z)) = 1/(4iz + 2)

(b) To find the image of the line y = 2 under w = h(z), we substitute y = 2 into the function h(z) and solve for z.

y = 2

1/(4iz + 2) = 2

To simplify the equation, we multiply both sides by (4iz + 2):

1 = 2(4iz + 2)

1 = 8iz + 4

8iz = -3

z = -3/(8i)

Therefore, the image of the line y = 2 under w = h(z) is the point z = -3/(8i).

(c) To determine the image of the circle |z - i| = 1/2 under w = h(z), we substitute z - i = 1/2 into the function h(z) and solve for w.

|z - i| = 1/2

|z - i|² = (1/2)²

(z - i)(z - i*) = 1/4

z² - iz - iz + i² = 1/4

z² - 2iz + 1 = 1/4

z² - 2iz + 3/4 = 0

Now we solve this quadratic equation using the quadratic formula:

z = (-(-2i) ± √((-2i)² - 4(1)(3/4))) / (2(1))

z = (2i ± √(-4i² - 3)) / 2

z = (2i ± √(4 + 3)) / 2

z = (2i ± √7) / 2

z = i ± √7/2

So, the image of the circle |z - i| = 1/2 under w = h(z) is the two points z = i + √7/2 and z = i - √7/2.

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Answer:

C) \(-14w+12\)

Step-by-step explanation:

\(10-7w-13-7w+15\)

Group the similar terms together:

\(-7w-7w+10-13+15\)

Add/Subtract the w:

\(-14w+10-13+15\)

Add/Subtract the numbers:

\(-14w+12\)

option C

i hope it helps u ✌️☠️

Answer:

The scale factor is 3 and Divide by 24 to find b's length.

Step-by-step explanation:

I think this is the answer

(Im just a bored high schooler searching this up) :P

Answer:

it’s The first and the last

Step-by-step explanation:

Answer:

D.

Mark me brainliest :))

Answer:

Step-by-step explanation:

4). Surface area of front and back = 2(lengh × height)

                                                        = 2(7×3)

                                                        = 63 cm²

    Surface area of top and bottom = 2(length × width)

                                                          = 2(8×7)

                                                          = 112 cm²

     Surface area of left and right = 2(width × height)

                                                      = 2(8×3)

                                                      = 48 cm²

      Total surface area = 63 + 112 + 48

                                      = 223 cm²

5). Surface area of top and bottom = 2πr²

                                                          = 2π(4)²

                                                          = 32π

                                                          = 100.53 cm²

    Surface area of middle = h(π × d)

                                            = 4(π × 8)

                                            = 32π

                                            = 100.53 cm²

     Total surface area = 32π + 32π

                                     = 64π

                                     = 201.06 cm²

6). Surface area of front and back = \(2[\frac{1}{2}(\text{Base})(\text{Height)}]\)

                                                        = Base × Height

                                                        = 6 × 8

                                                        = 48 cm²

     Surface area of bottom = 6 × 11

                                             = 66 cm²

     Surface area of the left = 8 × 11

                                             = 88 cm²

     Surface area of right = 10 × 11

                                        = 110 cm²

      Total surface area = 48 + 66 + 88 + 110

                                      = 312 cm²  

Answerh

Step-by-step explanation:

huh

Answer:

Step-by-step explanation:

The cost would be $2,560 because if you multiply $35, 12, and 3 then you should get the answer of 1,260. Next, you need to multiply 50 by 26 for the paint cost and when you multiply these numbers you should get 1,300. Finally you will add 1,300+1,260 and this will give you the answer of $2,560.

In a two-way factorial design analysis, there are two main effects tested.

A two-way factorial design involves the simultaneous manipulation of two independent variables, each with multiple levels, to study their individual and combined effects on a dependent variable. The main effects in such a design represent the effects of each independent variable independently, ignoring the influence of the other variable.

When conducting a two-way factorial design analysis, there are two main effects tested, corresponding to each independent variable. The main effect of one variable is the difference in the means across its levels, averaged over all levels of the other variable. Similarly, the main effect of the other variable is the difference in the means across its levels, averaged over all levels of the first variable.

Testing the main effects allows researchers to determine the individual impact of each independent variable on the dependent variable, providing insights into their overall influence. By analyzing the main effects, researchers can assess the significance and directionality of the effects, aiding in the interpretation of the experimental results and understanding the relationship between the independent and dependent variables in the factorial design.

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The simplified version of (sec a - cosec a) / (sec a + cosec a)  is cosec 2a(cosec 2a - 2) / (sec²a - cosec²a).

The study of correlations between triangles' side lengths and angles is known as trigonometry. The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.

Given:

(sec a - cosec a) / (sec a + cosec a)

Multiply the numerator and denominator by (sec a - cosec a)

(sec a - cosec a) / (sec a + cosec a)  × (sec a - cosec a)

(sec²a + cosec²a -2sec a cosec a) / (sec²a - cosec²a)

As we know,

\(sec^2a + cosec^2a = sec^2a \ cosec^2a\)

sec² a cosec² a - 2sec a cosec a /  (sec²a - cosec²a)

sec a cosec a (sec a cosec a - 2) / (sec²a - cosec²a)

cosec 2a(cosec 2a - 2) / (sec²a - cosec²a)

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Answer:

2.34

Normally it would be 1.95*6 however since everything is 20% off you need to find 20% of 1.95. You find that by:

Step-by-Solution for What is 20 percent of 1.95: 20 percent *1.95 = (20:100)*1.95 = (20*1.95):100 = 39:100 = 0.39. Now we have 20 percent of 1.95 = 0.39. explanation:

After you find that you multiply it by 6 so it would be 0.39*6 which equals 2.34. I hope this helped! :)

The correct answer is option (D) "The graph shifts 7 units right and 8 units down".Explanation:To solve the given question, we need to use the rules for vertical and horizontal shifts, which are as follows:

Vertical Shift: y=f(x)+a moves the graph of f(x) upward if a > 0 and downward if a < 0.Horizontal Shift: y=f(x+a) moves the graph of f(x) left if a > 0 and right if a < 0.Now, let's transform the function f(x) into function g(x) and determine the shift required.The transformation of f(x) to g(x) is: g(x) = f(x - a) + bwhere a = horizontal shift and b = vertical shiftThe equation of the given functions is:f(x) = 1/(x − 2) and g(x) = 1/(x^(5/9))Let's set the equation of function f(x) in the standard form:y = 1/(x - 2)and the equation of function g(x) in the standard form:y = 1/(x^(5/9))

Now, we can observe that:To transform the graph of f(x) onto the graph of g(x), we need to shift the graph of f(x) right by 7 units and down by 8 units, which is given in option (D).Hence, the correct option is (D) "The graph shifts 7 units right and 8 units down".

The graph shifts 7 units right and 8 units down is the statement that describes the transformation of the graph of function f onto the graph of function g.Conclusion:Thus, we have determined the correct answer with an explanation and concluded that the correct option is (D) "The graph shifts 7 units right and 8 units down".

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Answer:

9,000 m2

Step-by-step explanation:

If the longer rope has three times the length of the shorter rope, the perimeter and the sides of the triangle formed by the longer rope are three times the perimeter and sides of the triangle formed by the smaller rope.

The area of an equilateral triangle is:

\(Area = \frac{side^{2} * \sqrt{3}}{4}\)

So, if the side is three times bigger, the area will be 9 times bigger (3^2).

The area of the small triangle is 1000 m2, so the area of the bigger triangle is 9 * 1,000 = 9,000 m2

Both procedures are correct. Because the end answer and the step-by-step explanation are right.

It is a step-by-step explanation of the equations. The procedure is important

It explains the sequence of actions and specifies what has to be done at each stage, frequently specifying when and by whom the procedure should be conducted.

The end answer for Keisha's solution is;

\(\rm cos \theta =\)± \(\frac{15}{17}\)

The end answer for David's solution is;

\(\rm cos \theta =\)± \(\frac{15}{17}\)

Hence both procedures are correct. Because the end answer and the step-by-step explanation are right.

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Answer:

C: Both procedures are correct

Step-by-step explanation:

on edge :)

Answer:

B. 68.5 & 76.5

Step-by-step explanation:

In order to solve this equation you first need to change your equasion to fit 2 scenarios. So, your 2 equations are x-72.5=4 and x-72.5=-4. From there, you need to solve by adding 72.5 to each equation giving you x=76.5 and x=68.5. 68.5 degrees F is your minimum temperature and 76.5 degrees F is your maximum temperature. I have included a screenshot of my handwritten work included below for those who are visual learners.

a) The size of each payment = $8718.4

b) The the total amount paid for the purchase = $204620.8

c) The total interest paid over the life of the loan = $104620.8

In this question we have been given that a man buys a house for $175,000. He makes a $75,000 down payment and amortizes the rest of the debt with semiannual payment sover the next 10 years. The interest rate on the debt is 12%, compounded semiannually.

We need to find the size of each payment, the total amount paid for the purchase and the total interest paid over the life of the loan.

From given data we get 175,000 - 75,000 = $100,000 amount to finance.

We know that the formula for semiannual payment of a loan,

C = PV/[1 - (1 + r)^-t / r]

Here, PV = $100,000

t = 20 (10 years times 2 payment per year)

r = 0.06 (12% annual. so, we divide by 2 to get semiannual)

So, C = 100,000/[1 - (1 + 0.06)^-20 / 0.06]

C =  100,000/[0.6882 / 0.06]

C = 100,000/11.47

C = $8718.4

The total interest paid will be the cuota times the time of the loan:

Total interest paid:

8718.4 x 12 = 104620.8

And the total amount paid over the life of the loan = 104620.8 + 100,000

                                                                                    = $204620.8

The interest will be the difference between the total amount paid and the principal of the loan

Therefore, Interest paid = $8718.4

total payment   = $204620.8

principal = $100,000

Interest expense = $104620.8

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Answers:

Upper Limit = 2.55 cc

Lower Limit = 2.25 cc

cc stands for "cubic centimeters".

==========================================

Explanation:

The tolerance tells us how much we can go over or under our target. It's our margin of error. We add and subtract the tolerance (0.15) from the target we're trying to aim for (2.4)

So the lowest dosage allowed is 2.4-0.15 = 2.25 cc

The highest dosage allowed is 2.4+0.15 = 2.55 cc

The upper limit is 2.55 cc while the lower limit is 2.25 cc

On a number line, we would find that 2.4 is at the midpoint of 2.25 and 2.55; so its at the center of those lower and upper bounds. The distance from the center to each endpoint is the same. That distance would be the tolerance 0.15

well, the population before the increase was "x", which oddly enough is the 100%, now if it increased by 16% that means 100% + 16% = 116%, and we happen to know that's 667

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 667& 116 \end{array} \implies \cfrac{x}{667}~~=~~\cfrac{100}{116} \\\\\\ \cfrac{x}{667}=\cfrac{25}{29}\implies 29x=(25)(667)\implies x=\cfrac{(25)(667)}{29}\implies x=575\)

The equation in slope-intercept form for the line that passes from the points (-7,2) and (5,8) is y = (1/2)x -3/2.

We know that, the slope intercept form is given by:-

y = mx + b

Where,

(x,y) is the ordered pair of every point on the line

m is the slope of the line

b is the y-intercept of the line

We know that, slope = (8-2)/(5-(-7)) = 6/12 = 1/2

Putting (-7,2) in (x,y) and m = 1/2 in the slope intercept form, we get,

2 = (1/2)(-7) + b

2 = -7/2 + b

b = -3/2

Hence, the slope intercept form of the line is y = (1/2)x -3/2.

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The probability of the outermost ring is 55.6%

Ibrahim has 33 more stickers than Rosie

An equation is an expression used to show the relationship between two or more variable and numbers.

Given the ratio:

Rosie: Matilda: Ibrahim = 4 : 7 : 15

Let x represent the total number of stickers

Ibrahim = (15/26)x

Matilda = (7/26)x

Given:

(15/26)x = (7/26)x  + 24

x = 78

Ibrahim = (15/26)*84 = 45

Rosie = (4/26)*84 = 12

Ibrahim has 33 (45 - 12) more stickers than Rosie

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Answer:

8.3+5.2

Step-by-step explanation:

the answer is 140 calculate so umm yeah duh I mean 280 lets go baby!!!!

Answer:

Step-by-step explanation:

A parallelogram is a shape that has two sets of parallel. There are a number of examples of parallelogram including but not limited to, square, rectangle, rhombus etc

From the question, the answer is, the shape is a rectangle. This is because the question says that the shape has its adjacent angles congruent, this means that they are supplementary(i.e they add up to 180). A rectangle is the one who fits the perfect description

There are 4 ways to increase profit: Cost-cutting, increased turnover, productivity gains, and efficiency gains are among them.

Businesses can raise revenues by selling more products or services, raising pricing, or some combination of these to enhance net margin. By lowering expenses, businesses may boost their net margin (e.g., finding cheaper sources for raw materials).

Developing and securing healthy revenues depends on strong customer connections. Customers should be matched to relationships, relationship migration pathways should be established to further integrate major accounts, and marketing should take the lead in all of these areas. Relationships should range from arm's length to deeply integrated.

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Answer:

2

Step-by-step explanation: