A patient is placed in an elliptical tank that is 178 centimeters long and 102 centimeters wide to undergo sound wave lithotripsy treatment for kidney stones. Determine where the sound emitter and the stone should be positioned relative to the center of the tank

Answers

Answer 1

Complete Question

The  diagram for this question is shown on the first uploaded image

Answer:

The position of the emitter is  [tex]E =  +  72.9 \  cm\ from\ the\ center [/tex]

The position of the stone is   [tex]S =  - 72.9 \  cm\ from\ the\ center [/tex]

Step-by-step explanation:

From the question we are told that

   The  length is  l =  178 cm

    The  width is  w  =  102 cm  

Generally the position of the stone along the horizontal axis is mathematically evaluated as

         [tex]h  =  \frac{178}{2}[/tex]

=>      [tex]h  = 89 \  cm   [/tex]

Generally the position of the emitter along the vertical axis is mathematically evaluated as

         [tex]k =  \frac{102}{2}[/tex]

=>      [tex]k  = 51 \  cm   [/tex]      

Generally the  resultant position of both stone and the emitter is

       [tex]R  =  \pm \sqrt{h^ 2  - k^2}[/tex]

=>     [tex]R  = \pm  \sqrt{89^ 2  - 51^2}[/tex]

=>     [tex]R  = \pm 72.9 \  cm   [/tex]

Hence the position of the emitter is  [tex]E =  +  72.9 \  cm[/tex]

            the position of the stone is   [tex]S =  - 72.9 \  cm[/tex]

A Patient Is Placed In An Elliptical Tank That Is 178 Centimeters Long And 102 Centimeters Wide To Undergo

Related Questions

Solve for n.
4/7 x n = 14

Answers

Answer:

[tex]n = \frac{49}{2x}[/tex]

Step-by-step explanation:

1) Simplify [tex]\frac{4}{7}[/tex] xn to [tex]\frac{4xn}{7}[/tex]

[tex]\frac{4xn}{7}[/tex] = 14

2) Multiply both sides by 7.

4xn = 14 × 7

3) Simplify 14 × 7 to 98.

4xn=98

4) Divide both sides by 4.

[tex]xn = \frac{98}{4}[/tex]

5) Simplify [tex]\frac{98}{4}[/tex] to [tex]\frac{49}{2}[/tex]

[tex]xn = \frac{49 }{2}[/tex]

6) Divide both sides by x.

[tex]n = \frac{49}{2} / x[/tex]

7) Simplify [tex]\frac{49}{2} /x[/tex] into [tex]\frac{49}{2x}[/tex]

[tex]n = \frac{49}{2x}[/tex]

Determine the domain, range and whether each table represents a function.​

Answers

The domain is the possible x values- so it is 1,2,3 .
The range is the possible y values- which are 4,6,8 .
Yes it does represent a function because each element of X is related to ONE element of y.

Hope that helped!
Domain = {1,2,3}Range = {4,6,8}This is a function

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

Explanation:

The domain is the set of all possible x values. The range is the set of all possible y values.

Since we don't have any repeated x values, we have a function. Any given input x leads to exactly one y output value. Visually plotting the points leads to the graph passing the vertical line test, which shows the relation is a function.

banana cheese salad with cheese on top

Answers

Step-by-step explanation:

question is notcorrect

Answer:

[tex]x<-5[/tex]

Step-by-step explanation:

[tex]4-x<9[/tex]

Subtract 4 to both sides

[tex]x<-5[/tex]

Hope this helps and pls do mark me brainliest if you can:)

In a lab experiment, the decay of a radioactive isotope is being observed. At the beginning of the first day of the experiment the mass of the substance was 800 grams and mass was decreasing by 13% per day. Determine the mass of the radioactive sample at the beginning of the 12th day of the experiment. Round to the nearest tenth (if necessary).

Answers

The answer is that the mass would be 310.7 on the 12th day

Which one is the right answer?

Answers

Answer:

angle 2 is 35 degrees

angle 3 is 55 degrees

Answer:

(below)

Step-by-step explanation:

since angles 3 + 4 are a right angle (90 degrees) 90 - 35 = 55. so, m of angle 3 = 55 degrees

1 is a right angle. so, m of angle 1 = 90 degrees

if all interior angle of a triangle add up to 180, angle 2 must equal 35

write an expression for a number that is 5 times greater than 2

For pre-algebra class

Please help thanks i need it thanks a lot for helping me thank you alot

Answers

Answer:

x = 5x > 2

or just 5x > 2 ya its that

Step-by-step explanation:

subtract (6+5i)-(9-3i)
(Simplify your answer. Type your answer in the form a+bi)

Answers

Answer:

-3+8i

Step-by-step explanation:

Help mehh please
Alaina has $28 in her account. She wants to purchase a pair of shoes that costs $45. If Alaina makes the purchase, which integer will represent the amount of money in Alaina’s account?
–73
–27
–23
–17

Answers

Answer:

The real answer is -17, do the math.

Step-by-step explanation:

28 - 45= -17

28 + 17 = 45

45 - 28 = 17

HELPPP

Given h(x) = 2x + 2, solve for x when h(x) = 4.

Answers

Answer:

x = 1

Step-by-step explanation:

2x + 2 = 4

2x = 2

x = 1

2x + 2 = 4
2x = 2
x = 1

Solve for x in the equation x squared minus 4 x minus 9 = 29

Answers

Answer:

x=5

Step-by-step explanation:

4x-9=29

4x=29-9

4x=20

x=20/4

x=5

Alex wrote checks on Tuesday for $35 and $40. He also made a deposit in his checking account of $170. Find the overall change in the amount in his checking account.

Answers

Answer: He retrieved 75$ from his account then he put back 170$ so +75 and -170 so in total the answer would be 245$

Answer:  He would have $100 in his bank account from the information provided .

I need help pls , Solve: 5a + 4 = 19

Answers

5a+4=19 this is the equation to solve for a 5a=19-4

5a=15

a=15÷3

a=3

Choose the equation of the horizontal line that passes through the point (2, 3). (1 point)
A.X= 2
B.x = 3
C.y=2
D.y = 3

Answers

Answer:

the answer is A, x=2

Step-by-step explanation:

Find the area of the rectangle contained within the following four lines

x =1, x = -2 , y= -3, y=2



How do you do this please help with this question pleaseeeeeee if you give good explanation I will make you brain list thing. This is a linear relation ship question. PLEASE HELP WITH THIS QUESTION

Answers

Answer:

should be 15 hope I helped you out.

Step-by-step explanation:

Answer:

15 sq unit

Step-by-step explanation:

Easiest way to understand this question is to plot the lines on the graph which will give you a rectangle with four sides at given points.

the length of the said rectangle will be l = 1 + (-2)

and the breath b = 2 + (-3)

Area= lxb = 15 sq.unit

its a geo match to the ? type thing

Answers

1) 1/2
2) 1/2
3) 2

I can explain if you have time

The product of Greg's height and 5 is 90

Answers

Answer:

450

Step-by-step explanation:

is the answer

Once the child in the sample problem reaches the bottom of the hill, she continues sliding along the flat, snow-covered ground until she comes to a stop. If her acceleration during this time is -.392m/s^2 how long does it take her to travel from the bottom of the hill to her stopping point

Answers

Sample problem is;

A child slides down a steep, snow covered hill with an acceleration of 2.82 m/s². Her initial speed is 0.0 m/s² and her final speed is 15.5 m/s travelling from top to bottom of the hill.

Answer:

t = 39.54 s

Step-by-step explanation:

We are told that her acceleration is now -0.392 m/s²

Thus; a = -0.392 m/s²

From the sample problem, we have;. Initial velocity = 0 m/s

Final velocity = 15.5 m/s

However, in this question, we want to find the time from the bottom of the hill to her stopping point.

This means her initial velocity will now be; u = 15.5 m/s and final velocity since she will come to rest will be v = 0 m/s

To find the time it takes her to travel from the bottom of the hill to her stopping point, we will use Newton's equation of motion and so, we have;

v = u + at

making t the subject, we have;

t = (v - u)/a

t = (0 - 15.5)/(-0.392)

t = 39.54 s

describes the end behavior of the graph.

Answers

Answer:  B) [tex]+\infty[/tex]

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

Explanation:

As x goes to positive infinity, we're moving forever to the right.

If we have a point on the curve, then the point will move to the right and it will also move upward forever.

So as [tex]x \to \infty[/tex] we have [tex]y \to \infty[/tex]

Because y = f(x), this is the same as saying [tex]f(x) \to \infty[/tex]

The notation [tex]+\infty[/tex] is the same as [tex]\infty[/tex]

In terms of words, we can say "the curve rises to the right" to describe the end behavior on the right.

Find the range of the function f(x) = 9x − 17 for the domain {1, 3, 5}.

Answers

Answer:

range is -8,10,28

Step-by-step explanation:

9(1)-17=-8

9(3)-17=10

9(5)-17=28

Hope this helps

In one football game, a team scored 24 points with a combination of six-point touchdowns, three-point field goals, and one-point "extra points." They made 2 more touchdowns than field goals, and 3 times as many "extra points" as field goals. Let x be the number of touchdowns, y be the number of field goals, and z be the number of "extra points." Write a system of equations that can be solved to find how many touchdowns, field goals, and "extra points" the team made. Do not solve your system.

Answers

Given:

Total score = 24 points

They made 2 more touchdowns than field goals, and 3 times as many "extra points" as field goals.

To find:

The system of equations for the given problem.

Solution:

Let x be the number of touchdowns.

y be the number of field goals.

z be the number of "extra points."

Total score is 24 points. So,

[tex]x+y+z=24[/tex]

They made 2 more touchdowns than field goals.

[tex]x=y+2[/tex]

They made 3 times as many "extra points" as field goals.

[tex]z=3y[/tex]

Therefore, the required system of equation is

[tex]x+y+z=24[/tex]

[tex]x=y+2[/tex]

[tex]z=3y[/tex]

How many 1-foot-square border tiles do you need to surround a pool that is 10 feet long and 5 feet wide

Answers

The answer is 8 hope this helps(don’t trust me)

What is the lcm of 12 & 9 pls help im in class and i dont have a clue

Answers

Answer:

36 is the lcm of this question

Se reparten 7/9 de pizza entre 4 niños. ¿Que fracción de la pizza le toca a cada uno?​

Answers

Putang ina mo gago ka

Use the bar model to add these fractions

Answers

Answer:

I don't understand the question but 5 would be close to 0 10 would be beside 5 15 will be beside 10 20 will be close to 15 30 will be next to 60

True or false a function can sometimes be a relation ?

Answers

Answer:

Step-by-step explanation:

True

If using the vertical line test, you can tell whether something is a relation or not. If a vertical line crosses all points once it’s a function if it does not then it’s not a relation.

what is (3,0) reflected on the y-axis

Answers

Reflecting across the y axis, the x value becomes opposite and the y value remains the same.

(3,0) becomes (-3,0)

Answer:

(-3, 0)

Step-by-step explanation:

There is the same amount of units from either side of the y-axis to the points.


Is this a function? Explain

Answers

Answer:

Yes

Step-by-step explanation:

The only reason a graph will not be a function is if it doesn't pass the vertical line test. In other words, if you draw a vertical line at any point, it will never pass through more than 1 point.

In that case, that is true, so it must be a function.

i need help i will mark

Answers

Answer:

[tex]-34.[/tex]

Step-by-step explanation:

[tex] - {4}^{2} + (5 - 2)( - 6) = \\ 16 + 18 = \\ -34. \\ \\ ♨Rage♨[/tex]

و please tell me what the slope is​

Answers

Answer: slope = 6

Step-by-step explanation:

Slope is rise over run.

Find two perfect points and see how many up/down you go and how many left/right you go.

On this one, you go up 6, right 1.

6/1 is 6.

Hope this helps!

Answer:

6

Step-by-step explanation:

m=y2-y1/x2-x1

take two points from the graph (0, -1) and (1, 5)

5-(-1)=6

1-0=1

6/1=6

hope this helps :3

the mean number of goals scored is 2.5.
the mean number of away goals scored is 1.8.

How many home and away games have been played in total?

Answers

Answer:

2 games.

Step-by-step explanation:

2.5 + 1.8 = 4

4 divided by 2 = 2

Total 32 games home and away games have been played.

What is the mean?

The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.

From the bar chart :

We can obtain the total number of goals scored :

Home goals (quarter 1 to quarter 4) :

= (9 + 6 + 8 + 7)

= 30

Away goals (quarter 1 to quarter 4) :

= (2 + 7 + 4 + 5)

= 18

Using the relation :

Mean goals scored = total goals scored / number of games played

Home games :

Mean goals = 2.5

Number of home games played = total goals scored / mean goals

= 30 / 2.5

= 22

Away games :

Mean goals = 1.8

Number of away games played = 18 / 1.8

= 10

Therefore, number of home and away games played in total = 22 + 10 = 32 games

To learn more about the mean;

brainly.com/question/13451489

#SPJ2

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