The function h (d) = 2d + 4.3 relates the height (h) of the water in a fountain in feet to the diameter (d) of the pipe carrying the water in inches. Find h (1.5) and interpret your solution in the context of the problem find the value of d when h (d) = 10.3 and interpret your solution in the context of the problem

Answers

Answer 1

Answer:

h(1.5) = 7.3 ft

h(10.3) = 24.9 ft

Step-by-step explanation:

Given the function h(d) = 2d + 4.3,

where:

h = height of the water in a fountain (in feet)

d = diameter of the pipe carrying the water (in inches)

h(1.5)

Substitute the input value of d = 1.5, into the function:

h(1.5) = 2(1.5) + 4.3

h(1.5) = 3 + 4.3

h(1.5) = 7 feet

The height of the water in a fountain is 7 feet when the diameter of the pipe is 1.5 inches.

h(10.3)

Substitute the input value of d = 10.3, into the function:

h(10.3) = 2(10.3) + 4.3

h(10.3) = 20.6 + 4.3

h(10.3) = 24.9 feet

The height of the water in a fountain is 24.9 feet when the diameter of the pipe is 10.3 inches.

Context of the solutions to h(1.5) and h(10.3):

The solutions to both functions show the relationship between the diameter of the pipe to the height of the water in a fountain.  The height of the water in fountain increases relative to the diameter of the pipe.  In other words, as the diameter or the size of the pipe increases or widens, the height of the water in a fountain also increases.  


Related Questions

What happens if you subtract the two equations and solve for S5? Can you use this information to come up with a way to find any geometric series Sn in the form ∑an-1bn-1?

Answers

Step-by-step explanation:

¿Puedes decirnos las ecuaciones?

help asap help asap for brainlist

Answers

Answer:

The first option

Step-by-step explanation:

In Texas, the coldest temperature ever recorded is

23°F. That's a lot chillier than in Florida, where the coldest recorded temperature is

2°F.
How many degrees warmer is Florida's coldest recorded temperature than Texas's?
°F

Answers

Answer:

I searched this and it said Florida's coldest temperature was -2°F and Texas's was -23. So the answer is 21.

Step-by-step explanation:

Texas's lowest temp: -23

Florida's lowest temp: -2

The difference is 21°F

Check the answer:

-23+21=-2

Frankie works after school at the carwash. He makes $50 every pay period, plus a $10 commission (x) on each car he cleans. Choose the linear function that
represents his total pay each pay period (y).

Answers

Answer:

y = 10x + 50

Step-by-step explanation:

The island of Martinique has received $32000 for hurricane relief efforts. The island’s goal is to fundraise more than y dollars for aide by the end of the month. They receive donations of $4500 each day. Write an inequality that represents this situation, where x is the number of days.

Answers

Answer:

y=4500x+32000

Step-by-step explanation:

If they are increasing at a constant rate of 4500 then that is the coefficient of x, and if they received a 32000$ donation then that is the y-intercept so you add that to 4500x to get this equation.

Hope this answer helped!

Which table shows a proportional relationship between x and y
X

Answers

Answer:

The second one from the top

Step-by-step explanation:

     This table shows a proportional relationship between x and y because when y is multiplied by 7, we get x.

     (or when x is divided by 7 we get y, my thoughts first go to the multiplication)

     Hope this helps, have a nice day! :D

every year rob reads 12 less books than his friend.
let t represent the number of books that rob reads and let b represent the number of books that his friend reads.
write an equation to represent the relationship between t and b

Answers

B-12 because b is how many books his friend reads and he reads 12 leas than his friend, so b-12

What statement makes the open sentence 7x - 7=2x +8 true?
MULTIPLE CHOICE QUESTIONS: OPTIONS;
0, 1, 3, 4

WILL MARK BRIANLIEST

Answers

Well 7x-7=2x+8
7x-2x=8+7
3x=15
x=3
So the answer is 3 ;)


On a recent glider flight, Lucy took a tow to 3000 feet above
ground level. She found a good thermal draft and climbed 1800
feet higher. Then, she hit a big gap and lost 2250 feet.
a
What is her current altitude at this point?

Answers

Answer:

2550 feet

Step-by-step explanation:

3000+1800-2250=2550

what is the slope of the line // will give lots of points and brainliest

Answers

m= 1/2. for slope always think “rise/run” as a fraction for when you hit the next point. up/down x amount divided by left/right x amount

Answer:

  1/2

Step-by-step explanation:

It usually works well to compute the slope from coordinates where the graph crosses grid line intersections. We can identify two of those as ...

  (-1, 3) and (1, 4)

The slope formula tells you the slope is ...

  m = (y2 -y1)/(x2 -x1)

  m = (4 -3)/(1 -(-1)) = 1/2

The slope of the line is 1/2.

__

Additional comment

The y-intercept is 3 1/2.

An equation for the line could be ...

  y = 1/2x + 3 1/2 . . . slope-intercept form

  x -2y = -7 . . . . . . . . standard form

Use the scores in the box. What is the range? 21 25 25 26 19 24 30 21 30 25 28 25 17 17 25 17 28 23 28 21 20 25 19 24 21​

Answers

Answer:

The range is 13.

Step-by-step explanation:

The definition of the range is to subtract the largest number from the smallest number. Looking at this set of numbers, the largest number is 30, and the smallest number is 17. When you subtract 30 - 17 you end up with 13.

Hope This helped :)

Answer:

13

Step-by-step explanation:

Find the slope of the line that passes through (-90, 99) and (-91, 25).

Answers

Slope: (y2-y1)/(x2-x1)
(25-99)/(-91-(-90) = -74/-1 = 74

The slope is 74

Answer:

I believe the slope is 74

Step-by-step explanation:

m=74

Does anyone know this?

Answers

I got -42 but it could be positive I don’t know

Solve for x.
2
——
X +6. =4

6

Answers

Question:

Solve for x.

2

——

X +6. =4

6

Answer:  

1

,

5

)

Step-by-step explanation:

{

2

x

6

<

4

x

3

2

x

+

6

<

4

x

<

3

Solve  

2

x

6

<

4

when  

x

3

.

3

x

<

5

Solve  

2

x

+

6

<

4

when  

x

<

3

.

1

<

x

<

3

Find the union of the solutions.

1

<

x

<

5

The result can be shown in multiple forms.

Inequality Form:

1

<

x

<

5

Interval Notation:

(

1

,

5

)

For the line and point on the picture, find a perpendicular line, through the given point. please look at the picture to see the point and line and answer choices.

Answers

Answer:

y = - 7

Step-by-step explanation:

Make 'y' the subject of the formula: 17t+3hy=24

Answers

Answer:

y=[tex]\frac{24-17t}{3h}[/tex]

Step-by-step explanation:

Hi there!

We are given the formula 17t+3hy=24

We want to make y the subject of the formula, which also means that we want to solve the equation for y

To do that, we'll need to isolate y on one side, much like solving for an equation with real numbers.

Let's first subtract 17t from both sides.

17t+3hy=24

-17t         -17t

___________

3hy=24-17t

Now on the left, we have 3hy, but remember; we want just y by itself. Once again, similar to solving an equation with real numbers, we can pretend that 3h is the coefficient of the equation, while y is our variable.

So to get y by itself, we'll need to divide both sides by 3h

y= [tex]\frac{24-17t}{3h}[/tex], which can also be written as y=[tex]\frac{8}{h} -\frac{17t}{3h}[/tex]

Hope this helps!

Can anyone help me ASAP!

Answers

Answer:

11,12

Step-by-step explanation:

when calculated, the square root is 11.7473401245, which is between the two integers, 11 and 12!

Hope this helps!

What is the slope of the line on the graph?

Answers

Answer:

6/1 or just 6

Step-by-step explanation:

Answer:

6 over 1 is the slope

Step-by-step explanation:

to find the slope of a line you have to find two points on the line and do rise over run

so for example for this problem I looked at the tho points and starting from the bottom one I went up (rise) six and over (run) one and got 6 over 1  

your welcome : )

Given the point (5, 6) and the slope of 5, find y when x = 21.

Answers

Answer:

y = 86

Step-by-step explanation:

We know the slope is 5 so we can write our equation like this:

y = 5x + b

Since we know that (5, 6) is on our equation, we can substitute it into our equation:

6 = 5(5) + b

b = 6-25 = -19

Now we know our equation is y = 5x - 19

Next, we plug in 21 for x to find our y-value:

y = 5(21)-19 = 105-19 = 86

Two plants are being compared for how many zucchinis are picked from each plant each week, the data shown in two plot points What is the difference between the medians of the dot plot points.

Please explain it!

Answers

Answer:

2

Step-by-step explanation:

Plant A has a median of 3

Plant B had a median of 5

The median is the last number(s) left when you put them from least to greatest and cross them off.

a b and c are positive integers a:b
=3:8 and b:c=6:11

Answers

Answer:

a= 18; b= 48; c= 88. Please note that even half these value work (9, 24, 44) or any multiple of these (9k, 24k, 44k, with k a positive integer)

Step-by-step explanation:

Let's go easy, and pick b to be 6x8, to make things easy for us. Maybe even 6x4 could work, 12x8 will totally work, but this is the simplest choice.

Now on the first proportion [tex]a:48=3:8 \rightarrow 8a = 48\times3 \rightarrow a = 18[/tex]

From the second proportion [tex]48:c=6:11 \rightarrow 6c = 48\times 11 \rightarrow c = 88[/tex]

the time taken by 23 students to complete a worksheet

Answers

I think you forgot some information

Which is the graph of the linear inequality
y ≥ - x - 3​

Answers

Answer:

See answer below.

Step-by-step explanation:

Find three ordered pairs for the graph y > -x - 3

x      0        5       -3

y      -3      -8        0

No graphs to pick from! You did not add the picture.

However, the graph is a solid line with points (0, -3), (5, -8), and (-3, 0) on it and for the  > shaded the region above the line.

Find the cost per visit to the nearest cent: Health and Heart Club, $259 per year, 3 visits per week.


$7.19


$1.66


$3.32


$156

Answers

Answer: The answer is A $1.66

Step-by-step explanation: We have been given that Health and Heart Club charges $259 per year. A person has 3 visits per week. We are asked to find the cost of per visit to Health and Heart Club.We know that there are 52 weeks in one year. So total visits in one year would be 3 times 52 that   156 visits.

Now, we will divide total cost by 156 to find cost per visit.

Cost per visit = $1.660256

Rounding to nearest hundredths, we will get: Cost per visit = $1.66

Therefore, the cost per visit is $1.66 and option 'a' is the correct choice.

Hope this helps everyone that asked this question lol!

It takes 2 hours to travel 360 miles on a plane. At this rate, how many miles does the plane travel in 4 hours?

Answers

Step-by-step explanation:

720

Answer:

720

Step-by-step explanation:

360 divided by 2 is 180

1 hour takes 180 miles

180 times 4 gives you how much it takes for 4 hours

answer is 720 miles

On a map, the scale is 1 inch=125 miles. What is the actual distance between two cities if the map distance is 4 inches?

Answers

What you need to do is multiply 125 by 4. You will get 500. The cities are 500 miles apart. I hope this is correct

Kiera pays $1.95 per song
she downloads.

Answers

Answer:

1 song = $1.95

2 songs = $3.90

3 songs= $5.85

4 songs= $7.80

Explanation:

it's simple multiplying

Graph: y–3=1/2(x+2) ​

Answers

Answer:

Step-by-step explanation:

Solve the  y

y -3 = 1/2(x + 2)

y =  1/2(x + 2) + 3                Add

Pick  points that you wish to substitute for x values.

       x = 0                                   x  = 2                                       x = 4

  y = 1/2(x + 2) + 3                y = 1/2(x + 2) + 3               y = 1/2(x + 2) + 3

  y = 1/2(0 + 2) + 3               y = 1/2(2 + 2) + 3               y = 1/2(4 + 2) + 3

    y = 1/2(2) + 3                    y = 1/2(4) + 3                     y = 1/2(6) + 3

    y = 1 + 3                            y = 2 + 3                            y = 3 + 3

    y = 4                                 y = 5                                  y = 6

Locate the following point on  graph (x, y); (0, 4), (2, 5), (4, 6)  

a rental truck has a cargo capacity of 96 ft ^3 a ft pipe just fits resting diagonally on the floor of the truck if the cargo space is 8ft high, find the dimensions of the truck

Answers

The dimension of the truck is 8ft by 6t by 2ft

The volume of the rental cargo is expressed according to the formula;

V = lwh

l is the length of the box

w is the width

h is the height

Given the following parameters

V = 96ft^3

h = 8ft

Substitute into the formula

96 = 8lw

lw = 96/8

lw = 12

The other dimensions of the tuck will be 2ft and 6ft respectively

Hence the dimension of the truck is 8ft by 6t by 2ft

Learn more here: https://brainly.com/question/21214343

Question 1
Question 2
For a spherical object to just barely block the sun from your view, the ratio of the
length of the object's conical shadow, measured from the object to your eye, to
the object's diameter must be about 108: 1. How far in feet from your eye would a
tennis ball with an approximate diameter of 2.7 inches need to be to just block out
the sun? Round your answer to the nearest tenth.
Question 3
O 3.3
Question 4
O 24.3
0 40.0
0 291.6

Answers

The tennis ball's distance from the eye can be determined by using similar triangles.

The distance of the tennis ball from the eye to block out the Sun is; 24.3 feet.

Reasons:

The given parameter are;

The ratio of the shadow to the objects diameter = 108 : 1

[tex]\dfrac{108}{1} = \dfrac{Distance \ of \ tennis \ ball}{2.7}[/tex]

The distance of the tennis ball from the eye = 108 × 2.7 in. = 291.6 in.

291.6 inches = 24.3 feet

The distance of the tennis ball from the eye to block out the Sun is 24.3 feet.

Learn more here:

https://brainly.com/question/2956155

Other Questions
If m f(x) M for a x b, where m is the absolute minimum and M is the absolute maximum of f on the interval [a, b], thenm(b a) bIf m f(x) M for a x b, where m is the absolute minimum and M is the absolute maximum of f on the interval [a, b], then m(b a) f(x) dx M(b a).f(x) dx M(b a).Use this property to estimate the value of the integral.8(10x 20 sin(x)) dx7 Select the correct answer.The graph of f(x) = 7^x is stretched vertically by a factor of five. Which of the following is the equation of the new graph, g(x)? What is the difference between inequality between countries and inequality within a country Find the slope of the line shown below. When a ball is dropped onto a flat floor, it bounces to 65% of the height from which it was dropped. If the ball is dropped from 80 cm, construct a sequence consists of the first, second and third term which represents the height of each bounce from the first drop.13nShow that the height of nth bounce, Tn is = 80 .20Hence, find the height of the fifth bounce Given the mass of the yo-yo is m and the length of the string (radius of the circle traced by the yo-yo) is L, you find the moment of inertia to be I. If you double the length of the string, what is the new moment of inertia -b-2>8 solve the inequality PLEASE HELP ASAP! WILL GIVE BRANLIEST! Pay attention to what happens to the things around you as you go about your day. Describe three examples of Newtons third law in action. In your examples describe the action and the equal and opposite reaction. 19) 8(8 + 2x) = -36 - 4xSOLVE FOR X PLEASE IM STUCK ON THIS ONE Read the sentence.Digestion is divided into four parts, ingestion, digestion, absorption, and elimination.Which revision is necessary?add a colon after dividedadd a colon after isremove the comma after absorptionchange the comma after parts to a colon Mi to compr un terreno campestre de forma rectangular que mide 3/4 hm de largo y 1/2 de ancho, Cual es su rea ? Please help my career is a veterinarian! 4. What path could you take in high school to help prepare you for this career? For example: AP courses, career and technical education, etc. Which is most appropriate and why?5. What post-secondary routes (education after high school) could also help you to prepare forthis career? Explain or describe. Long term alcohol abuse can lead to erectile dysfunction in men true or false Paragraph 4 of the excerpt mainly reveals Rewrite 5(8+2) using the distributive property of multiplication over addition HELPPP LAST ATTEMPT!! jacob jogs 3/4 miles he than jogs 1/3 mile how many miles does he jog Should Hamlet be taught to all high school seniors? Why is it important that oval-shaped women not wear structured clothing?I disagree with this, people should wear whatever they want regardless of body type its just for school >. Which area on the map represents the region MOST affected by the Homestead Act of 1862?-)A)1B)23hD4