Does the order we apply a
sequence of transformations
matter?

The ratio of the lateral area of the cone to the cylinder will be √(h²+r²)/2h.

The solid formed by two congruent closed curves in parallel planes along with the surface created by line segments connecting the corresponding points of the two curves is known as a cylinder.

A cylinder with a circular base is known as a circular cylinder. Based on the form of its base, a cone is given a name.

It is given that a cone and a cylinder have equal radii,r, and equal altitudes, h. The ratio of the lateral surface area of the cone to the cylinder will be calculated as below:-

The lateral area of the cone = πr√(h²+r²)

The lateral area of the cylinder = 2πrh

The ratio will be calculated as:-

R = πr√(h²+r²)  /   2πrh

R = √(h²+r²) / 2h

Therefore, the ratio of the lateral area of the cone to the cylinder will be √(h²+r²)/2h.

To know more about the cone and a cylinder follow

https://brainly.com/question/1310192

#SPJ1

Follow these procedures to calculate the mean absolute deviation.

1. Determine the data's mean by adding all of the values and dividing by the number of values in the data set.

2. Subtract the mean from each of the data points.

3. Make each difference a good one.

4. Add up all of the positive differences.

5. Subtract this total from the amount of data values in the collection.

This is the  mean absolute deviation.

A data set's average absolute deviation is the sum of its absolute departures from a central point. It is a statistical dispersion or variability summary statistic.

The average distance between the values in a data collection and the set's mean is described by mean absolute deviation. A data collection with a mean average deviation of 3.2, for example, has values that are 3.2 units away from the mean on average.

Learn more about mean absolute deviation:
https://brainly.com/question/10528201
#SPJ1

An increasing exponential function is defined as follows:

y = a(1 + r)^x.

In which:

For this problem, the function is given as follows:

y = 20000(1.14)^t.

In which the parameters are given as follows:

More can be learned about exponential functions at https://brainly.com/question/30113628

#SPJ1

Answer:

(1,1) (2,2) (1,2) (1,5) (4,4) (4,5)

there are a lot more but those are some.

Step-by-step explanation:

To find the value of x, we calculate the average of the sample observations. Summing up the observations and dividing by the total number of observations, we get:

x = (125 + 122 + 126 + 100 + 155 + 132 + 121 + 118 + 114 + 125 + 142 + 2 + 130 + 110 + 140 + 129 + 3) / 17 = 114.118 seconds (rounded to three decimal places).b) To find the value of R, we calculate the range of each sample by subtracting the minimum observation from the maximum observation. Then we find the average range across all samples:R = (155 - 100 + 142 - 2 + 140 - 110 + 132 - 114 + 142 - 3) / 5 = 109.2 seconds (rounded to three decimal places).

c) The Upper Control Limit (UCL) and Lower Control Limit (LCL) using 3-sigma can be calculated by adding and subtracting three times the standard deviation from the average:UCL = x + (3 * R / d2) = 114.118 + (3 * 109.2 / 1.693) = 348.351 seconds (rounded to three decimal places).LCL = x - (3 * R / d2) = 114.118 - (3 * 109.2 / 1.693) = -120.115 seconds (rounded to three decimal places).

d) The Upper Control Limit Range (UCLR) and Lower Control Limit Range (LCLR) using 3-sigma can be calculated by multiplying the average range by the appropriate factor:UCLR = R * D4 = 109.2 * 2.115 = 231.108 seconds (rounded to three decimal places).LCLR = R * D3 = 109.2 * 0 = 0 seconds.

To learn more about observations click here : brainly.com/question/9679245

#SPJ11

Since \(1 - \sin^{2}{\theta} = \cos^{2}{\theta}\), the trigonometric expression \(\frac{\sin{\theta}}{\sqrt{1 - \sin^{2}{\theta}}} = \tan{\theta}\) is proven.

The trigonometric expression for this problem is defined as follows:

\(\frac{\sin{\theta}}{\sqrt{1 - \sin^{2}{\theta}}} = \tan{\theta}\)

The identity used for the proof is given as follows:

\(\sin^{2}{\theta} + \cos^{2}{\theta} = 1\)

Hence:

\(1 - \sin^{2}{\theta} = \cos^{2}{\theta}\)

Replacing on the left side of the expression, we have that:

\(\frac{\sin{\theta}}{\sqrt{1 - \sin^{2}{\theta}}} = \frac{\sin{\theta}}{\sqrt{cos^{2}{\theta}}}\)

Taking the square root:

\(\frac{\sin{\theta}}{\sqrt{1 - \sin^{2}{\theta}}} = \frac{\sin{\theta}}{\cos{\theta}}\)

The tangent is given as the division of the sine by the cosine, hence:

\(\frac{\sin{\theta}}{\cos{\theta}} = \tan{\theta}\)

More can be learned about trigonometric identities at https://brainly.com/question/7331447

#SPJ1

Answer:

What is Parabola:

a symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity ideally follows a curve of this shape.

What is the transformation of parabolas?

The function y=x2+b has a graph which simply looks like the standard parabola with the vertex shifted b units along the y-axis. Thus the vertex is located at (0,b). If b is positive, then the parabola moves upwards and, if b is negative, it moves downwards. Similarly, we can translate the parabola horizontally

Step-by-step explanation:

Answer:

value of property multiply by the tax rate

Step-by-step explanation: value of the property x the tax rate of the country

Answer:

y = 1.50x+4

if x = 2

y = 7

if x = 3

y = 8.5

if x = 5

y = 11.5

Step-by-step explanation:

every mile(x) add 1.50 dollars to 4 dollars

Randy needs 8 loads.

To find the answer on the question we have to follow the method of multiplication and division .

A washing machine can hold \(\frac{3}{4}\) kg of laundry in each load.

\(\frac{3}{4}\) kg of laundry is equal to 1 load.

\(\frac{3}{4}\) kg of laundry =  1 load

1 kg of laundry  =  \(\frac{1 * 4}{3}\) load ( following the method of division )

1 kg of laundry = \(\frac{4}{3}\) load

Randy has 6kg of laundry.

So, 1kg of laundry i.e \(\frac{4}{3}\) load is to be multiplied by 6.

6kg of laundry = \(\frac{4 * 6}{3}\) load ( following the method of multiplication)

                         = 8 loads

Hence, Randy needs 8 loads.

Read more about multiplication :

https://brainly.com/question/26669440

#SPJ4

The slope of the line is -63, which represents the number of canned goods decreases at a rate of 63 per day.

The y-intercept is 825, which is the initial amount of canned goods.

In Mathematics, the slope-intercept form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

Based on the information, an equation that models the situation is given by this mathematical expression;

y = mx + c

y = -63x + 825

In conclusion, we can reasonably infer and logically deduce that the slope is -63 and the y-intercept is equal to 825.

Read more on slope here: https://brainly.com/question/12031541

#SPJ1

Given,Function :  f(x,y) = 20 - x² - y²

Plane : z = 4

To find, double integral in rectangular coordinates for calculating the volume of the solid under the graph of the given function and above the plane z = 4.

Using the triple integral, the volume of the solid under the graph of the given function and above the plane z = 4 can be calculated as follows:∫∫R [20 - x² - y²]dA where

R is the projection of the solid onto the xy-plane.So, we have to calculate dA in terms of x and y:

∫∫R [20 - x² - y²]dA

= ∫∫R 4 dA + ∫∫R [20 - x² - y² - 4] dA

= 4A + ∫∫R [20 - x² - y² - 4] dA

Now, we calculate A:∫∫R dA = area of R

So, the projection of the solid onto the xy-plane is the circle of radius 2 centered at the origin.

So, the limits of integration are: -2 ≤ x ≤ 2 and -√(4 - x²) ≤ y ≤ √(4 - x²)

Therefore,

A = ∫∫R dA

= ∫-2² 2² ∫-√(4 - x²) √(4 - x²) dy dx

Using these limits, the limits of integration for the second integral will be: -√(4 - x²) ≤ y ≤ √(4 - x²)and for the first integral, the limits of integration will be: -2 ≤ x ≤ 2

Therefore,∫∫R [20 - x² - y²]dA

= ∫-2² 2² ∫-√(4 - x²) √(4 - x²) [20 - x² - y²] dy dx

= 4A + ∫-2² 2² ∫-√(4 - x²) √(4 - x²) [20 - x² - y² - 4] dy dx

= 4A + ∫-2² 2² ∫-√(4 - x²) √(4 - x²) [16 - x² - y²] dy dx

Using the order dx dy, the integral becomes,

∫-2² 2² ∫-√(4 - x²) √(4 - x²) [16 - x² - y²] dy dx

= ∫-2² 2² [-2y³/3 + 16y - xy²]^√(4 - x²) -√(4 - x²) dx

= ∫-2² 2² [64/3π - 8x² - 32√(4 - x²)] dx

= [64x/3π - (8x³)/3 - 16x√(4 - x²)]-2² 2²

= [-64/3π - 16√2/3].

Therefore, the value of the integral is -64/3π - 16√2/3.

So, A= 4π,

B= -64/3π and

C= -√2 and

D= √2.

The correct integral is,∫-√2 √2 ∫-2 2 (20 - x² - y²) dy dx.

To know more about coordinate visit :-

https://brainly.com/question/31293074

#SPJ11

Step-by-step explanation:

The Pythagorean theorem can be understood as a mathematical relationship between the sides of a right triangle that helps to understand geometric problems in real situations, such as finding measurements, calculating areas, etc.

The theorem says that the square of the hypotenuse is equal to the sum of the squares on the other sides.

In a right triangle the hypotenuse is the longest side of the triangle, on the side opposite to its longest angle, and the other two sides will be the sides. So the Pythagorean theorem formula is:

a² = b² + c²

where a represents the hypotenuse and b and c the other sides.

The value of logarithmic function log base a 20 is  0.902.

Solving the log equation:

log (x+36) - log(x+1) = log 19

Let us use the following logarithmic property:

log a - log b = log(a/b)log(x+36) - log(x+1)

= log 19

⇒ log[(x+36)/(x+1)] = log 19

Taking the anti logarithm on both sides,(x+36)/(x+1) = 19

Multiplying both sides by (x+1),(x+36) = 19(x+1)

Expanding the product, we get:8

x + 36 = 19x + 19x + 1 ⇒ 38x = 35 ⇒ x = 35/38

Therefore, the solution of the given log equation is x = 35/38.

Now, evaluating log base a 20.

We have, log base a 5 = 0.699 and log base a 2 = 0.301.

Now, we know that log base a (xy) = log base a x + log base a y

Using this property, we can write:

log base a 20 = log base a (4 × 5)⇒ log base a 20 = log base a 4 + log base a 5

We know that 4 is 2 raised to the power of 2, i.e., 4 = 2²

Hence, we can write:

log base a 20 = log base a (2²) + log base a 5⇒ log base a 20 = 2 log base a 2 + log base a 5

Now, substituting the values of log base a 5 and log base a 2, we get:

log base a 20 = 2 × 0.301 + 0.699= 0.902

Therefore, log base a 20 = 0.902.

Learn more about  logarithmic function from the given link

https://brainly.com/question/30283912

#SPJ11

Answer:

\(\frac{14}{16}\) simplified to \(\frac{7}{8\\}\)

Step-by-step explanation:

\(\frac{7}{16} times \frac{2}{1} you get \frac{14}{16} \\this \\simplifies \\to \frac{7}{8}\)

The solution to the initial value problem y'-4y=f(x), y(0)=0 for 0<=x<4 is given by:

y(x) = F(-4)e^(-4x)

The Laplace transform of the differential equation y'-4y=f(x) is given by:

sY(s) - y(0) - 4Y(s) = F(s)

where Y(s) and F(s) are the Laplace transforms of y(x) and f(x), respectively.

Substituting the initial condition y(0)=0 and rearranging, we get:

Y(s) = F(s)/(s+4)

Now we need to find the inverse Laplace transform of Y(s) to obtain the solution y(x). Using the partial fraction decomposition method, we can write:

Y(s) = A/(s+4) + B

where A and B are constants to be determined.

Multiplying both sides by (s+4), we get:

F(s) = A + B(s+4)

Setting s=-4, we get:

A = F(-4)

Setting s=0, we get:

B = Y(0) = y(0) = 0

Therefore, the partial fraction decomposition of Y(s) is given by:

Y(s) = F(-4)/(s+4)

Taking the inverse Laplace transform of Y(s), we get:

y(x) = L^-1{F(-4)/(s+4)} = F(-4)L^-1{1/(s+4)}

Using the table of Laplace transforms, we find that the inverse Laplace transform of 1/(s+4) is e^(-4x). Therefore, the solution to the initial value problem is given by:

y(x) = F(-4)e^(-4x)

where F(-4) is the value of the Laplace transform of f(x) evaluated at s=-4.

For more questions like Differential equation click the link below:

https://brainly.com/question/14598404

#SPJ11

Answer:

Correct answer is option D

Answer:

There are no choices but in order to qudratic equation not to have real roots the discriminant must be negative.

If d < 0, we get:

or

or

Answer:

Step-by-step explanation:

since  d > r   , becasue more daises, than roses,  we know that the answer must also reflect this logic.

A is  3r > r+d ,   can't be true, b/c with one rose,  the amount of roses + daises would be 3, and then 3r = r+d    so A is wrong

B is 3r ??? we don't have an equation or inequality to solve.  

C  3r = r+d,   this could be true if r=1  and d=2  and would also be correct for all the requirements.   C seems true,  

D Also,  for the teacher that wrote this,  " compare expressions"  means there are zero equal signs ,   expressions are with out equal signs,   equations have them,  as does C  :/   This teacher doesn't know what they are talking about.  >:/  

Based on the equation, the correct answer is D. There is not enough information to tell.

The statement "a garden has more daisies than roses, and there is at least one rose" implies that the number of daisies (d) is greater than the number of roses (r), but it does not provide any specific values for r and d.

Without knowing the specific values of r and d, we cannot determine whether 3r is greater than, equal to, or less than r + d. Therefore, the correct answer is D, indicating that there is not enough information to determine the relationship between 3r and r + d.

Learn more about equations

https://brainly.com/question/2972832

#SPJ2

In both cases, the fractions 2/n and m/n will yield terminating decimals.

If 1/n is a terminating decimal, it means that when expressed as a decimal, the fraction 1/n has a finite number of digits after the decimal point. In other words, it does not result in a repeating decimal.

In the case of 2/n, where n is a non-zero integer, the result will also be a terminating decimal. This is because multiplying the numerator of 1/n by 2 does not introduce any additional repeating patterns or infinite decimal expansions. Therefore, 2/n will also have a finite number of digits after the decimal point.

Similarly, if m/n is a fraction where m is a counting number less than n, the resulting decimal will also be terminating. Since m is a counting number less than n, multiplying the numerator of 1/n by m does not introduce any repeating patterns or infinite decimal expansions. Hence, m/n will have a finite number of digits after the decimal point.

To learn more about  terminating decimal, refer here:

https://brainly.com/question/11848544

#SPJ11

The equivalent of 0.85 hectogram (hg) is 850 decigram (dg)

The measure is given as:

0.85 hg

As a general rule:

1 hectogram (hg) = 1000 decigram (dg)

So, multiply both sides of the above equation by 0.85

So, we have:

0.85 * 1 hectogram (hg) = 0.85 * 1000 decigram (dg)

Evaluate the product

0.85 hectogram (hg) = 850 decigram (dg)

Hence, the equivalent of 0.85 hectogram (hg) is 850 decigram (dg)

Read more about metric units at:

https://brainly.com/question/2004114

#SPJ1

Simple interest formula (not compound interest formula) is used here, as much as i know.

the formula is:

f = p * (1 + r * n).

f is the future value

p is the present value

r is the interest rate per time period

n is the number of time periods

Given

Therefore, we have

Hence, the answer is

So, you're going to want to put this in the form y=mx+b (I don't remember what it's called). So, start off by moving the -8x to the other side by adding 8x to both sides. So, we have 2y=8x-2. Then, divide both sides by 2. 8x/2=4x, and 2/2=1. So, we have y=4x+1.

Slope=4

y-intercept=1

The probability of randomly drawing seven cards from a deck of cards and getting three Jacks and two Kings is approximately 0.00000027 or 2.7 in 10 million.

To compute the probability of randomly drawing seven cards from a deck of cards and getting three Jacks and two Kings, we can use the formula for hypergeometric probability.

The number of ways to draw three Jacks and two Kings from a deck of cards is given by:

(4 choose 3) * (4 choose 2) = 6 * 6 = 36

where (n choose k) represents the number of ways to choose k items from a set of n items.

The total number of ways to draw seven cards from a deck of cards is given by:

(52 choose 7) = 133,784,560.

So the probability of getting three Jacks and two Kings when drawing seven cards from a deck of cards is:

36 / 133,784,560 ≈ 0.00000027.

For similar question on probability.

https://brainly.com/question/27371271

#SPJ11

Answer:

s=7

p=3s

Step-by-step explanation:

The perimeter is the side length times 3

So the equation would be p=3s

Plug in 21 for p

21=3s

That means s=7

Answer: 2.5, 5.3

Step-by-step explanation:

\(-16t^2 +126t=217\\ \\ 16t^2 -126t+217=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(217)}}{2(16)}\\\\t \approx 2.5, 5.3\)

Answer:

He has worked 4 days.

Step-by-step explanation:

240 divided by 60 is 4.

If this helped I would appreciate it if you marked me brainliest. Thank you and have a nice day!

The slope of the line passing through the points (3, 4) and (5, 8) is 2.

We have,

To find the slope of a line passing through two points (x₁, y₁) and (x₂, y₂), you can use the formula:

slope = (y₂ - y₁) / (x₂ - x₁)

In this case,

The points are (3, 4) and (5, 8).

Let's substitute these values into the formula:

slope = (8 - 4) / (5 - 3)

= 4 / 2

= 2

Therefore,

The slope of the line passing through the points (3, 4) and (5, 8) is 2.

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ1

Answer:

the $27 fkr 4 pizzas because you can split thw pizzas in half and get 8 pizzas for $27

Answer:

32 for 5

Step-by-step explanation: