An artery of radius 3 mm sends blood to three smaller arteries that are all the same size. Each of the smaller arter
much blood to flow as the larger artery does. What is the radius, in mm, of one of the smaller arteries?
A)
3
B)
3T1
C)
V3
D)
2/3

Answers

Answer 1

9514 1404 393

Answer:

  C)  √3

Step-by-step explanation:

Treating this as a geometry problem, not a fluid dynamics problem, we assume the area of the smaller vessels must total that of the larger one. Then the ratio of areas of the smaller vessels to the larger one is 1/3. The ratio of radii is the square root of that: 1/√3.

Then the radius of the smaller arteries must be ...

  (3 mm)(1/√3) = √3 mm


Related Questions

Write the equation of the parabola in vertex form.


Vertex: (−3,7); Point: (−2,−5)

Answers

Answer:

y = - 12(x + 3)² + 7

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (- 3, 7 ), thus

y = a(x - (- 3))² + 7 , that is

y = a(x + 3)² + 7

To find a substitute (- 2, - 5) into the equation

- 5 = a(- 2 + 3)² + 7 ( subtract 7 from both sides )

- 12 = a(1)² = a

y = - 12(x + 3)² + 7 ← equation in vertex form


Jayden already owns 47 stamps, and additional stamps are priced at 0.05 per dollar. How
much money does Jayden need to spend on new stamps in order to have a total of 51
stamps in his collection?

Answers

Answer: If its .05 cents then only 20 cents to finish the collection I got that because 51 - 47= 4 and if it is .05 cents then I did 4 * 5 = 20

The sum of the average amounts spent for veterinary expenses for​ dogs, cats, and birds in a recent year was ​$293 The average expenditure per dog exceeded the sum of the averages for cats and birds by ​$113. The amount spent per cat was times the amount spent per bird. Find the average amount spent on each type of animal.

Answers

The question is incomplete:

The sum of the average amounts spent for veterinary expenses for​ dogs, cats, and birds in a recent year was ​$293 The average expenditure per dog exceeded the sum of the averages for cats and birds by ​$113. The amount spent per cat was 9 times the amount spent per bird. Find the average amount spent on each type of animal.

Answer:

The average amount spent in dogs is $203, in cats is $81 and in birds is $9.

Step-by-step explanation:

From the information given, you can write the following equations:

x+y+z=293 (1)

x-y-z=113 (2)

y=9z (3)

You can replace (3) in (1) and (2):

x+9z+z=293

x+10z=293 (4)

x-9z-z=113

x-10z=113 (5)

Now, you have the following equations:

x+10z=293 (4)

x-10z=113 (5)

Then, you can isolate x in (4):

x=293-10z (6)

Next, you can replace (6) in (5):

293-10z-10z=113

293-20z=113

293-113=20z

180=20z

z=180/20

z=9

Now, you can replace the value of z in (6) to find x:

x=293-10z

x=293-10(9)

x=293-90

x=203

Finally, you can replace the value z in (3) to find y:

y=9*(9)

y=81

According to this, the answer is that the average amount spent in dogs is $203, in cats is $81 and in birds is $9.

Please help answering these questions 10 points help please (look at the picture)

Answers

Answer:

46. -22

47. -22

48. 8

Answer:

46) -22

47) -22

48)  8

49) -8

50) -4

51)  4

Step-by-step explanation:

Is this a function or no

Answers

Answer:

No

Step-by-step explanation:

It is not properly done.

I think the answer is no
hope this helps x

Hello, I need an answer for this.

Answers

Answer:

3.19 x 10^6 kilometers

Step-by-step explanation:

Does anyone know what f(x)=-5x-1 when f(-7) i need help with this please.

Answers

Answer:

f(-7) = 34

Step-by-step explanation:

If f(x) = -5x - 1, then . . .

f(x) = -5x - 1

f(-7) = -5(-7) - 1

       = 35 - 1

       = 34

. . . because in f(-7), the (-7) is the x-value you're supposed to use to find the value of the function.

can someone please help me out?? :(( i have been stuck on this for 20 mins. i SUCK at math

Answers

Answer: Is it 24

Step-by-step explanation:

You have to make 1/6 and 3/8 have the same common denominator so in order to do that u have to make each denominator 48 since that’s the LCD. You then have to multiply by each number whatever it needs to get 48 on the bottom.

1/6 x 8 =8/48
3/8 x 6 =18/48

what is an equation equivaent to x=-2

Answers

x-2=0 answer

Step-by-step explanation:

x=-2 move constant to the left by adding its opposite to both sides

x+2=2-2 the sum of two opposites equals 0

x-2=0

ANSWER X-2=0

You are making a scale drawing with a scale of 2 in. = 17 ft. Explain how you find the length of the drawing of an object that has an actual length of 51 ft.

Answers

Answer:

17/2 = 8.5

1 inch = 8.5 feet

51/8.5 = 6 inches

Step-by-step explanation:

HI :)

Answer:

51 divided by 17 = the answer

Step-by-step explanation:

if each 2 in. is 17 ft, you are looking for how many inches 51 feet would be.

Write an equation in slope-intercept form of the line that passes through (-2,5) and (-4,-5)

Answers

Answer:

so the slope-intercept form is y=mx+b

so your's is....

y= 5x +15

Step-by-step explanation:

Hope this helps!!

The equation of the line that passes through (-2,5) and (-4,-5) is y = 5x + 15 in the slope-intercept form of the line.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The line that passes through (-2,5) and (-4,-5)

The equation of the line can be calculated as follows:

y + 5 = (-5 - 5)/(-4+2)[x + 4]

y + 5 = 10/2[ x + 4]

y = 5x + 20 - 5

y = 5x + 15

Thus, the equation of the line that passes through (-2,5) and (-4,-5) is y = 5x + 15 in the slope-intercept form of the line.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

In American football, the ball is punted by dropping and kicking it before it hits the ground. The height ht of the football above the ground in meters t seconds after being punted is affected by gravity and by the punter's kick, and can be represented as the difference of two functions: at=4.9t2, which specifies the effect of gravity on the height of the ball, and vt=13.7t+0.5, which specifies the effect of the punt on the ball. With these two functions, ht=vt-at, how high above the ground was the ball when it was punted?

Answers

Answer:

The ball was 0.5 m above the ground before it was punted.

Step-by-step explanation:

Since at = 4.9t² specifies the effect of gravity on the height of the ball, and vt = 13.7t + 0.5 specifies the effect of the punt on the ball, the height ht of the ball above the ground after the punt is  ht=vt-at

ht = 13.7t + 0.5 - 4.9t². To find the height ht above the ground at which the ball was punted, we insert t = 0 which is the start time of the punt into the equation for ht. So with t = 0, ht becomes

ht = 13.7t + 0.5 - 4.9t²

ht = 13.7 × 0 + 0.5 - 4.9 × 0²

ht = 0 + 0.5 - 0

ht = 0.5 m

So the ball was 0.5 m above the ground before it was punted.

The initial pressure inside a closed container is 200 psi. As the temperature inside the container increases, the pressure increases. If the pressure increases 7.5 psi for each degree Fahrenheit of increased temperature, which equation best represents p, the pressure inside the container after the temperature has increased t degrees?

Answers

Answer:

p = (200 + 7.5t) psi

Step-by-step explanation:

The initial pressure inside a closed container is 200 psi. Since the container is closed, the pressure inside it can not be less than 200 psi.

The pressure increases 7.5 psi with a degree rise in temperature (t) = 7.5t

so that;

p = 200 + 7.5t

  = (200 + 7.5t) psi

If the temperature increases by [tex]1^{o}[/tex] F, then;

p = 200 + 7.5(1)

  = 200 + 7.5

  = 207.5 psi

If the temperature increases by [tex]10^{o}[/tex] F, then;

p = 200 + 7.5(10)

  = 200 + 75

  = 275 psi

which figure shows that M is a midpoint ? select all apply

Answers

Answer:

I don't see the figures.

Step-by-step explanation:

Which of these expressions has the same product as ​(​)​?
Select all that apply.
A.
​(​)
B.
​(​)
C.
​(​)
D.
​(​)
E.
​(​)

Answers

Answer:

none

Step-by-step explanation:

I can't find any question there

Suppose that in 8 minutes, 32 gallons of water came out of a pipe. What was the rate in gallons per minute? ​

Answers

Answer:

4

Step-by-step explanation:

Answer:

8/32 =4 so 4 per min

Step-by-step explanation:

can someone help with this please . questions 3 and 4

Answers

Number three would be positive 4

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

A recent article in the paper claims that business ethics are at an all-time low. Reporting on a recent sample, the paper claims that 45% of all employees believe their company president possesses low ethical standards. Suppose 20 of a company's employees are randomly and independently sampled and asked if they believe their company president has low ethical standards and their years of experience at the company. Could the probability distribution for the number of years of experience be modelled by a binomial probability distribution?

Answers

Answer:

Yes, the probability distribution for the number of years of experience can be modelled by a binomial probability distribution

Step-by-step explanation:

We are told that on a recent sample, the paper claims that 45% of all employees believe their company president possesses low ethical standards.

This means the chance of success is p = 45% = 0.45

Now, 20 of the company's employees are randomly and independently sampled. This means that for any amount of success within this sample number can be represented by;

P(X = x) = C(n, x) × p^(x) × (1 - p)^(n - x)

Where;

x is the number of possible successes

n is the number of trials

p is the chance or probability of success

C(n, x) is the number of possible combinations that could occur

This formula represents the binomial probability distribution formula.

So yes, the probability distribution for the number of years of experience can be modelled by a binomial probability distribution

Dai is comparing trading cards with his friend Maura

Answers

Answer:

a- n= 2x+ 4

b- n= 2x + 4 - 8

 

For your birthday, you had a party at The Main Event. Your parents paid for you and 9 friends to play one game of bowling and one game of laser tag. It costs $8 for each combo ticket (covers both bowling and laser tag). Your parents also paid for a meal ticket ($6) for all of you to have pizza and a drink, but only you and 6 of your friends wanted a meal ticket.


6. Write an expression and solve it to find how much money your parents spent for the games and food/drink at The Main Event. Show all work

Answers

Answer:

$140

Step-by-step explanation:

8x+6x

TRUE OR FALSE
Angle BAH and angle DAG form linear pair.

Answers

Answer:

false

Step-by-step explanation:

The answer is TRUE ANGLE BAH AND ANGLE DAG ARE A FORM OF A LINEAR PAIR

The speed of a body falling freely from rest in a vacuum varies directly with the length of the time it falls. If after 6 seconds, a body was falling 58.8 m/s, how fast was it falling 4 seconds later? (Round off your answer to the nearest meter per second.)

Answers

Answer:

The body is falling at 98 m/s after 4 seconds later.

Step-by-step explanation:

The magnitude of the speed of a body dropped from rest is:

[tex] v = gt [/tex]

So, if the speed of a body dropped after 6 seconds is 58.8 m/s, after 4 seconds later is:

[tex] v = gt = 9.81 m/s^{2}*(4s + 6s) = 98.1 m/s = 98 m/s [/tex]

Hence, the body is falling at 98 m/s after 4 seconds later.

I hope it helps you!

Which property is illustrated by the following statement

Answers

Answer:

Communitive

Step-by-step explanation:

It is just saying that they are congruent and they just restated in different ways. It is like 4+3=7 and 3+4=7

Hope this helps

Answer this is your dont like the Teletubbies‍. Literally there your sleep paralysis!
Search them up if your dont know them!!!!
10 points!

Answers

Answer:

I am terrified of the Teletubbies. I always have been, I even hated it as a young child. (I'm 15 now) I still love Blues Clues though. Still slaps.

Step-by-step explanation:

Answer:

tramuatized

Step-by-step explanation:

teletubies are h e l l a wierd

Simon went to high school from 2012 to 2017. He was born when his father was 25. Simon’s parents met while they were in high school together. Part A Choose the compound inequality that describes the year x when Simon’s parents met.

Answers

Answer:

Simon started High school in the year 2012.

One usually starts highs school when is 14 years old.

So we can assume that Simon was born 14 years before 2012:

2012 - 14 = 1998

Now, Simon's parents may have met in the beginning of 1998, and Simon was born by the end of 1998. But in that case, Simon would be 13 at the beginning of school, instead of 14.

Then Simon's parents should have met before 1998.

Then the inequality that we have:

x < 1998.

And Simon was born when his father was 25 years old.

Then in 1998, Simon's father was 25 years old.

Meaning that he was born around:

1998 - 25 = 1973.

This means that Simon's parents met in-between the years 1973 and 1998.

1973 < x < 1998

4.49 × 10^–3 in standard form?

Answers

Answer:0.0049

Step-by-step explanation: You move the decimal 3 places to the left because its negative which gives you 0.0049

See attachment for math work and answer.

HELP ASAP I'M GIVING BRAINLIEST

Answers

Answer:

the picture is blurry is it only like that for me?

The fees for a biochemistry major are $1,728. To major in biochemistry, Toby requires 144 credit hours of coursework. How can he calculate the cost of the fees per credit hour? What is the cost of the fees per credit hour?

Answers

9514 1404 393

Answer:

divide fees by hours$12 per credit hour

Step-by-step explanation:

To find fees per hour, divide fees by hours.

  $1728/(144 h) = $12/h

Toby's cost is $12 per credit hour.

A movie club charges a one-time
membership fee of $30. It allows
members to purchase movies for $7
each. Another club does not charge
a membership fee and sells movies
for $12 each. How many movies
must a member purchase for the
total cost of the two clubs to be the
same? Write an equation, and solve
the equation to determine the
solution.

Answers

Answer:

Step-by-step explanation:

Club A charges $30 membership fee and charges $7 for each movie.

You can write this as :

A = 30 + 7m  (where m = number of movies)

Club B charges no membership fee and it costs $12 for each movie.

B = 12m

If we want to find how many movies a member must purchase for the total cost of the two clubs to be the same, this means we are trying to solve for "m" (number of movies) when A = B.

30 + 7m = 12m

Now you can just subtract 7m from both sides.

30 = 5m

Divide both sides by 5 to find "m'.

m = 30/5 = 6

Therefore a member must purchase 6 movies

Other Questions
PLZZZZ help me my Brian is not working today :( solve the equation12p = 24 When Arnetta saw Hosea Williams, one of her nonviolence trainers, arrive at her school, she thought, "It's here, it's about to happen!" She was joyful at "seeing all those children coming out to participate in the Movement." She described Dr. Bell, the principal of Ullman, as "running around like a chicken with his head cut off." Through the use of quotes in this excerpt, the reader is presented with the author's explanation of what happened at the school. an unreliable account of the day's events. a description of the event as Arnetta experienced it. a third-person point of view of what happened. A can run 3 miles in 30 minutes. How long will it takethe runner to run 2.5 miles? Use the diagram to explain. which of the following is the same as 1 second Brainliest anyone? get this right youll get Brainliest PLEASE HELP MEEEEEEEEEEEEEEEEEEEEEEEEe Arkeisha and Rodney are having a discussion about the correct use of the term "battery acid." Arkeisha insists that an alkaline battery does not have an actual acid contained within it, but Rodney disagrees and says that all batteries have acid in them. Which student is correct? A. Arkeisha is correct because the fluid in an alkaline battery has a pH between 0.0 and 6.9. B. Arkeisha is correct because the fluid in an alkaline battery has a pH between 7.1 and 14.0. C. Rodney is correct because the fluid in all batteries has a pH between 0.0 and 6.9, including alkaline batteries. D. Rodney is correct because the fluid in all batteries has a pH between 7.1 and 14.0, including alkaline batteries. Mr Davis has displayed data using box and whisker plots representing the scores on the first exam in his two calculus classes. Using these plots, what can Mr Davis correctly deduce about how the two classes compare? "Africa got decolonized at the cost of never-ending poverty, conflicts and diseases" explain with examples Consider a buggy being pulled by a horse.Which is correct?1. The horse can pull the buggy forward onlyif the horse weighs more than the buggy.2. The force on the buggy is as strong as theforce on the horse. The horse is joined to theEarth by flat hoofs, while the buggy is free toroll on its round wheels.3. The horse pulls before the buggy has timeto react so they move forward.4. The horse pulls forward slightly harderthan the buggy pulls backward on the horse,so they move forward. Help!!!!Which of the following is a condition for the figure below that will not prove /1 // 12? we want to factor the following expression 3x^2-16y^5 which pattern can be used to factor the expression U and V are either constant integers or single variable expressions An art museum had 275,760 visitors last year. The museum was open every day of the year except for 5 holidays. How many visitors did the museum have each day, on average? when do meanders form in a river? A.youngB.oldC.matureD.rejuvenated On Election Day, U.S. citizens head to the polls. They cast their votes. These are called popular votes.To cast a vote is to __________.Press enter to interact with the item, and press tab button or down arrow until reaching the Submit button once the item is selectedA give itB read itC imagine itDl ose it Suppose a boat moves at 12.0m/s relative to the water. If the boat is in a river with the current directed east of 2.50m/s, what is the boat's speed relative to the groiund when it is heading (a) east, with the current, and (b) west, against the current? HELPPPPPPPPPP A cafeteria sold 8 1/6 gallons of soda during lunchtime. 2 5/6 gallons were regular soda, and the rest was diet soda. How many gallons of diet soda were sold?Write your answer as a fraction or as a whole or mixed number._________ gallons What are textiles, and where were they used in Spain? A jet plane lands with a speed of 100 m/s and canaccelerate at a maximum rate of 5.00 m/s2 as it comes torest. (a) From the instant the plane touches the runway,what is the minimum time needed before it can come torest? (b) Can this plane land on a small tropical islandairport where the runway is 0.800 km long?