Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary.






The distance between the pair of points is

Integrating with respect to u first ∫∫S √(1 + x² + y²) dS = ∫[0 to 2π] ∫[0 to 3] (u√(2u² + 1)) du dv integral the final numerical value of the surface integral over the helicoid S.

To evaluate the surface integral ∫∫S √(1 + x² + y²) dS over the helicoid S given by r(u,v) = ucos(v)i + usin(v)j + vk, with 0 ≤ u ≤ 3 and 0 ≤ v ≤ 2 use the surface area element dS and express it in terms of u and v.

The surface area element dS for a parametric surface given by r(u,v) = x(u,v)i + y(u,v)j + z(u,v)k is calculated as follows:

dS = |∂r/∂u x ∂r/∂v| du dv

Let's find the partial derivatives of r(u,v) with respect to u and v:

∂r/∂u = cos(v)i + sin(v)j + k

∂r/∂v = -usin(v)i + ucos(v)j

Taking the cross product of these partial derivatives:

∂r/∂u x ∂r/∂v = (cos(v)i + sin(v)j + k) x (-usin(v)i + ucos(v)j)

= (-u cos²(v) - u sin²(v))i + (-u cos(v)sin(v) + u cos(v)sin(v))j + (cos²(v) + sin²(v))k

= -u(i + j) + k

Now, calculate the magnitude of ∂r/∂u x ∂r/∂v:

|∂r/∂u x ∂r/∂v| = √((-u)² + (-1)² + 0²)

= √(u² + 1)

the surface area element expressed in terms of u and v:

dS = √(u² + 1) du dv

Finally,  set up the integral:

∫∫S √(1 + x² + y²) dS = ∫∫R √(1 + (ucos(v))² + (usin(v))²) √(u² + 1) du dv

where R is the region in the u-v plane corresponding to the given bounds.

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Answer:

The orbit of 0 is the collection of all points (complex numbers) under iteration of x2 + c starting at the seed 0. The fate of the orbit is its eventual behavior. For example, the orbit may tend to a cycle of some period---its fate would then be that cycle. Or it ---may tend to a fixed point.

Hey there!

\( \displaystyle{\orange{\boxed{\bold{\green{d = -5}}}}}\)

\( \\ \)

\( \displaystyle{ \frac{4}{5}d + 3 = -2 - \frac{1}{5}d} \\ \)

\( \hookrightarrow \) Subtract 3 from both sides :

\( \\ \displaystyle{ \frac{4}{5}d + 3 \bold{ \red{ - 3} }} = \displaystyle{ - 2 - \frac{1}{5}d \bold{ \red{ - 3}} } \\ \\ \implies \displaystyle{\frac{4}{5}d = - \frac{1}{5}d - 5 } \: \: \: \: \)

\( \\ \hookrightarrow \) Add \( \frac{1}{5}d \) to both sides :

\(\\ \displaystyle{\frac{4}{5}d \: \bold{ \blue{ + \frac{1}{5}d }} = \displaystyle{ - \frac{1}{5}d - 5 \: \bold{ \blue{ + \ \frac{1}{5}d }}}} \\ \\ \implies \displaystyle{\frac{5}{5}d = - 5} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \displaystyle{\green{ \boxed{ \orange{{d = - 5}}}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \)

Therefore, our answer is d = -5

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add \(\bf{\frac{1}{5}d }\) on both sides.

\(\boldsymbol{\dfrac{4}{5}d+3+\dfrac{1}{5}d=-2 }\)

combine \(\bf{\frac{4}{5}d }\) and \(\bf{\frac{1}{5}d }\) to get d.

\(\boldsymbol{d+3=-2}\)

Subtract 3 from both sides.

\(\boldsymbol{d=-2-3}\)

Subtract 3 from −2 to get −5.

\(\boxed{\boldsymbol{d=-5}} \ \ \to \ \ \bf{Answer}\)

Let d=-5.

\(\sf{\dfrac{4}{5}\times-5+3=-2-\dfrac{1}{5}\times-5 }\)

\(\rm{Apply \ this \ rule:\dfrac{a}{b}\times c=\dfrac{ac}{b} }\)

\(\sf{\dfrac{4\times-5}{5}+3=-2-\dfrac{1}{5}\times-5 \ \ \to \ \ Multiply \ 4 \ by \ -5 }\)

\(\sf{\dfrac{-20}{5}+3=-2-\dfrac{1}{5}\times-5 }\)

\(\rm{Move \ the \ negative \ symbol \ to \ the \ left. }\)

\(\sf{-\dfrac{20}{5}+3=-2-\dfrac{1}{5}\times-5 \ \ \to \ \ Simplify \ \frac{20}{5} \ to \ 4. }\)

\(\sf{-4+3=-2- \dfrac{1}{5}\times-1 }\)

\(\rm{Move \ the \ negative \ symbol \ to \ the \ left.}\)

\(\sf{-4+3=-2-(-1) \ \ \to \ \ Simplify \ -4+3 \ to \ -1. }\)

\(\sf{-1=-2-(-1) \ \ \to \ \ \to \ \ Remove \ parentheses. }\)

\(\sf{-1=-2+1 \ \ \to \ \ Simplify \ -2+1 \ to \ -1.}\)

\(\sf{-1=-1 \ \to \ Equality \ is \ met.}\)

Checked ✅

\(\huge \red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}\)

Answer:

30% and $30

Step-by-step explanation:

Well  240-168 is 72

72 is  30 percent of 240  because

240* x/100 = 72

24000x=7200

x=.3

.3 is percentage is 30%

We can check by doing

240*.3= 72

there is a 30% decrease

Next question

If the total price of something is 31.20 with a 4% tax we do

x * .04 + x = 31.20

because 4% added to the price of that object is 3.20

1.04x = 31.20

x= 30

we can check by doing

30*.04+ 30= 31.2

Answer:

I think its the one on the bottom right

Step-by-step explanation:

Answer:

bottom right is the answer i think

Answer:

Step-by-step explanation:

Answer:

angle 1: 120

Step-by-step explanation:

angle 1:

5x-5

5(25)-5 =120

The two numbers which the missing side is in between include the following: A. 10 and 11.

In order to determine the length of the hypotenuse, we would have to apply Pythagorean's theorem.

In Mathematics and Geometry, Pythagorean's theorem is represented by the following mathematical equation (formula):

x² + y² = d²

Where:

x, y, and d represents the length of sides or side lengths of any right-angled triangle.

By substituting the side lengths of this rectangular figure, we have the following:

d² = x² + y²

d² = 3² + 10²

d² = 9 + 100

d² = 109

d = √109

d = 10.44 units.

Therefore, d is between 10 and 11.

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The statement, "the lateral surface area of cone A is exactly half of that of cylinder B" is: A. True.

Lateral surface area of cone = πrl

Lateral surface area of cylinder = 2πrh

Lateral surface area of cone A = πrl = πrh

Lateral surface area of cylinder B = 2πrh

This means the lateral surface area of cylinder B is twice that of cone A. Thus, lateral surface area of cone A is exactly half of that of cylinder B.

The answer is: A. True.

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The volume of a liquid with a mass of 10 kg and a density of 1.18 g/cm³ can be calculated by using the formula: density = mass/volume. Rearranging this formula gives the volume as mass/density. Substituting the given values gives a volume of 8474.58 cm³.

The density of a substance is defined as its mass per unit volume. Therefore, if we know the mass and density of a substance, we can calculate its volume by rearranging the density formula. The formula is:

density = mass/volume

Rearranging this formula gives:

volume = mass/density

Substituting the given values, we have:

mass = 10 kg
density = 1.18 g/cm³

Before we can substitute these values into the formula, we need to make sure that the units are consistent. The mass is given in kilograms, but the density is given in grams per cubic centimeter. We can convert the mass to grams by multiplying it by 1000, giving:

mass = 10000 g

Now we can substitute the values into the formula to get the volume:

volume = mass/density
volume = 10000 g/1.18 g/cm³

To simplify this expression, we can convert the units of mass to grams and the units of density to grams per cubic centimeter:

volume = 10000 g/1180 g/cm³
volume = 8.47458 cm³

Therefore, the volume of the liquid is 8.47458 cm³. This calculation shows that the volume of a liquid depends on its mass and density, and that knowing these two properties can help us to determine the volume of a substance.

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Work Shown:

Plug in f(x) = 37. Solve for x. Use logarithms.

f(x) = 20(1.05)^x

37 = 20(1.05)^x

20(1.05)^x = 37

1.05^x = 37/20

1.05^x = 1.85

log( 1.05^x ) = log( 1.85 )

x*log( 1.05 ) = log( 1.85 )

x = log( 1.85 )/log( 1.05 )

x = 12.6088044498867

Round up to the nearest whole number to get x = 13.

In the year 2013, sales exceed 37 million.

The number of socks that must he take out to be sure that he has at least two socks of the same color is 3.

In a  situation were  three (3) socks are taken from the drawer, at least two (2) socks must have the same color.

Using this formula

P=P(Red)+P(Black)+P(Either red or black)

Where:

P(Red)=1

P(Black)=1

P(Either red or black)=1

Hence:

P=1+1+1

P=3 socks

Therefore the number of socks that must he take out to be sure that he has at least two socks of the same color is 3.

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The radius of the largest circular tabletop that can be cut from the given rectangular wood is 0.60 meters.

To determine the radius of the largest circular tabletop that can be cut from a rectangular piece of wood measuring 1.20 m by 1.80 m, we need to find the maximum possible diameter that fits within the dimensions of the wood.

The largest circle will have a diameter equal to the shorter side of the rectangle, which is 1.20 m. This is because the circle must be entirely contained within the rectangular wood, and placing the circle's diameter along the shorter side ensures it fits perfectly without exceeding the wood's dimensions.

Now that we know the diameter of the largest circle is 1.20 m, we can easily find the radius by dividing the diameter by 2:

Radius = Diameter / 2

Radius = 1.20 m / 2

Radius = 0.60 m

So, the radius of the largest circular tabletop that can be cut from the given rectangular wood is 0.60 meters.

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Answer:

42.415

Step-by-step explanation:

if its buy one get one then 24.95 plus one more with a 30 percent off so 30percent off of 24.95 is 17.465 plus 24.95 is 42.415

The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.

Given a function:

f(t)=e5t+4t+7ln(t2+3c)+te-1+5e6

where c is a constant.

The solution to the question is shown below.

Step 1: We have given a function:

f(t)=e5t+4t+7ln(t2+3c)+te-1+5e6

We have to find the number of words we have to write to express this function in words.

Step 2: Solution

f(t) = et5+4t + ln(t²+3c)⁷ +te-1+5e⁶

Where,

et5+4t = exponential function

ln(t²+3c)⁷ = natural logarithmic function

te-1 = linear function

e⁶ = exponential function

Therefore, f(t) can be expressed in words as:

The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.

Step 3: Conclusion

Hence, the function f(t) can be expressed in words with:The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.

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Answer:

m = 57/14 = \(4\frac{1}{14}\)

Step-by-step explanation:

The polynomial can be expressed as follows;

P(x) = 2·x³ - m·x² + x - 5·m

(2·x³ - m·x² + x - 5·m) ÷ (x - 2)

          2·x²

          (-m - 2)·x² + x

                   (-m - 2)·x

                      (m + 3)·x - 5·m

                      (m + 3)·x

                                      -5·m

The remainder = -5·m/(x -2)

Similarly, dividing by (x + 1) will give a remainder of -5·m/(x + 1)

But -5·m/(x -2) = 4×-5·m/(x + 1)

5/(x -2) = 20/(x + 1)

5(x + 1) = 20(x -2)

20x - 5x= 40 + 5

x = 45/15 = 3

2·3³ - m·3² + 3 - 5·m = 54 - 9m + 3 - 5m = 57 - 14m

(57 - 14m)/1 = (57 - 14m)/4

228 - 56m =57 - 14m

171 = 56m-14m =  42m

m = 171/42 = 57/14.

19/50

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Answer:

46,562 :) Brainliest pleaseeee

~Answer~

46,562

24*57*34=46,512

46,512+50=46,562

Answer:

I think D because 2 negative equal a positive

Step-by-step explanation:

hope this helps

Answer:

D

Step-by-step explanation:

I believe the correct answer choice is D!

This is because, knowing that the rule of signs is a negtive multiplied by a negative is a positive, that would make the 22\(\frac{2}{5}\) a positive number and the 40\(\frac{1}{5}\) a positive as well.

The parenthesis are representing the multiplication proccesses.

-(-x) = x  ---> positive number

Answer:

0.18

move the decimal one place to the left

hope this helps! <3

Answer:

0.18

Step-by-step explanation:

Answer:

Listeriosis is an infection caused by the bacteria Listeria monocytogenes. People become infected by eating foods contaminated with the bacteria. Listeria may infect many different sites in the body, such as the brain, spinal cord membranes, or the bloodstream

Step-by-step explanation:

People with invasive listeriosis usually report symptoms starting 1 to 4 weeks after eating food contaminated with Listeria

Answer:

1 to 4 weeks after eating food contaminated with Listeria

Step-by-step explanation:

People with invasive listeriosis usually report symptoms starting 1 to 4 weeks after eating food contaminated with Listeria; some people have reported symptoms starting as late as 70 days after exposure or as early as the same day of exposure.

Answer:

3552

Step-by-step explanation:

So, basically, you use the formula and plugin 37, the number of terms, into n.

So:

96(37)

96(37) = 3552

Hope this helps!

Please mark brainliest.

The two dot plots are missing, so i have attached it.

Answer:

The mean at the beginning of the school year was 9.5 miles and the mean at the end of the school year was 10.2 miles

Step-by-step explanation:

From the attached image, we are told to compare the means for each plot to the nearest tenth.

Mean = Σx/n

Now, from the image, total number of miles run by the 14 students at the beginning of the school year is;

(1 × 7) + (2 × 8) + (4 × 9) + (4 × 10) + (2 × 11) + (1 × 12) = 133

Mean of miles run at the beginning of the school year = 133/14 = 9.5 miles

Again, from the table, total miles run at the end of the school year = (2 × 8) + (2 × 9) + (4 × 10) + (3 × 11) + (3 × 12) = 143

Mean of miles run at the end of the school year = 143/14 = 10.2 miles

Thus;

The mean at the beginning of the school year was 9.5 miles and the mean at the end of the school year was 10.2 miles

A matrix structure is an adaptation of the divisional structure whereby various divisions or parts of divisions are grouped together based on some common strategic elements, usually linked to distinct product/market differences.

In a matrix structure, organizations create a dual reporting system where employees report to both functional managers and project or product managers. This structure allows for greater flexibility and collaboration across departments, as individuals from different functional areas come together to work on specific projects or initiatives. The matrix structure is often employed in complex organizations that operate in multiple markets or industries, as it enables efficient resource allocation and coordination. By grouping divisions or parts of divisions based on common strategic elements, organizations can streamline decision-making processes and enhance cross-functional communication and cooperation.

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Answer:

The mode is 78, for it keeps repeating.

Answer:

We conclude that a function is defined as having only one corresponding y-value for each x-value.

Hence, option (C) is true.

Step-by-step explanation:

We know that A function is a certain relationship is defined as having only one corresponding y-value for each x-value.

Considering the function

Here,

Considering the table

x                      y

1                      2

2                     3

3                     4

4                     5

The values in the table satisfy the function y = x+1.

It is clear from the table that the function has only one corresponding y-value for each x-value. In other words, there is no repetition of 'x' value.

Therefore, we conclude that a function is defined as having only one corresponding y-value for each x-value.

Hence, option (C) is true.

Answer:

$491.56

Step-by-step explanation:

Total number of hours worked by Frieda = 26 hours 13 minutes

lets convert 13 minutes to hour

60 minutes = 1 hour\

1 minutes = 1/60 hours

13 minutes = 13/60 hours

Thus,

Total number of hours worked by Frieda = (26 + 13/60) hours

In 1 hours Freida earns =  $18.75

in  (26 + 13/60) hours Frieda earns =  $18.75((26 + 13/60)) = 487.5 + 4.06

in  (26 + 13/60) hours Frieda earns = $491.56  (Answer)

The average rate of change of function in the interval 3 ≤ x ≤ 5 is → Δr = (b - a)/2

Given is a function f{x}.

Since the table is not given, let's assume that -

f{3} = a                                     ... Eq { 1 }

f{5} = b                                         ... Eq { 2 }

Then, we can write the average rate of change as -

Δr = (b - a)/(5 - 3)

Δr = (b - a)/2

Therefore, the average rate of change of function in the interval 3 ≤ x ≤ 5 is → Δr = (b - a)/2.

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