The depth of water in a water tower that is draining is decreasing at a constant rate of 1.75 feet per hour. If
the depth after 6 hours of draining is 8 feet then write an equation for the water depth, d, as a function of the
amount of time it's been draining, t, in hours.

Answers

Answer 1

The linear function for the depth of water after t hours is given by:

[tex]d(t) = 17 - 1.5t[/tex]

The format of a linear function is given as follows:

[tex]d(t) = d(0) - at[/tex]

In which:

d(0) is the y-intercept, which is the initial value.a is the slope, which is the rate of change.

The depth of water in a water tower that is draining is decreasing at a constant rate of 1.75 feet per hour, which means that [tex]a = -1.75[/tex], thus:

[tex]d(t) = d(0) - 1.5t[/tex]

The depth after 6 hours of draining is 8 feet, which means that when [tex]t = 6, d(t) = 8[/tex]. This is used to find d(0).

[tex]d(t) = d(0) - 1.5t[/tex]

[tex]8 = d(0) - 1.5(6)[/tex]

[tex]d(0) = 17[/tex]

Then

[tex]d(t) = 17 - 1.5t[/tex]

A similar problem is given at https://brainly.com/question/16302622


Related Questions

Please help me solve this

Answers

Answer:

Step-by-step explanation:

This number is much larger than 1. You need to start at the decimal and move left (that's how scientific notation works for numbers larger than 1.)

So the answer is 1.0054 * 10 ^7

The person doing this started at the 1 and moved right until he/she hit the decimal. Wrong direction.

There are 360 girls in a school and they account for 15% of the students studying there, How many students study at that school?

Answers

Answer:

1250

Step-by-step explanation:

hELP asap


39.67 + 18.41

Answers

Answer:

58.08

Step-by-step explanation:

Answer:

58.08

Step-by-step explanation:

39.67+18.41=58.08

A laptop has a listed price of $503.98 before tax if the sales tax rate is 7.5% find the total cost of the laptop with sales tax included

Answers

Answer:

The tax would be roughly $37.79, which means the laptop would be overall $541.77.

Cho hình bình hành ABCD . Gọi E , F , M , N là trung điểm AB , BC , CD , DA . Cmr : a) Ba vectơ EF , AC , MN cùng phương . b) vectơ EF = vectơ NM. Suy ra : EFMN là hình bình hành

Answers

Answer:

Không ai yêu bạn

Step-by-step explanation:

Bạn là người Việt Nam, ruộng lúa của bạn có hư không? Tốt nếu nó được.

What is the slope of the line

Answers

Answer:

3/3=1/1=1 is the slope

Step-by-step explanation:

the rise is 3 and the run is 3

Hope it helps!

if i read 50 pages in 40 minutes how many pages do i read a minute

Answers

Answer:

You are reading 1 1/4 page/minute.

Step-by-step explanation:

Answer: 50/40= 1.25 pages

On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (negative 2, 3) and (0, negative 1). Everything to the left of the line is shaded. The second dashed line has a negative slope and goes through (0, 2) and (1, 0). Everything to the right of the line is shaded.
Which inequality pairs with y≤−2x−1 to complete the system of linear inequalities represented by the graph?

y<−2x+2
y>−2x+2
y<2x−2
y>2x−2

Answers

Answer:

its b

Step-by-step explanation:

I think it's b because I am trying

Stephen was thinking of a number. Stephen divides by 5 then adds 1 to get an answer of 21. Form an equation with
x
from the information.

Answers

Answer:

x/5 +1 = 21

Step-by-step explanation:

x is your variable. first step is divided by 5, so you put x/5. then it says add 1 so simply add it on to the equation x/5 + 1. the entire equation equals to 21 so you put the equal sign after x/5 +1 =21

Rachel can finish the job in 5 hours, while Carl can finish the same job in 8 hours. How long will it take them to finish the job together?PLS ANSWER ASAP WILL MARK BRAINLIEST IF CORRECT!!!!

Answers

5-7 hours i think, not 100% sure

Step-by-step explanation:

if you have any answer choices can you please list them? I'm not sure if this is correct but I'm guessing it'll take them both 5ish hours. Since Rachel can finish it in 5 hours but Carl takes longer, either they'll get it done in 5 hours or may it'll take a longer like 6 hours if Carl slows Rachel down. hope this helps!

Answer: 3 hours

Step-by-step explanation:

If she can do it in 5 and he, in 8 then subtract 5-8 and you get 3. Together they can complete this in 3 hours. Have a great day!

X/2 -5=20 please give details

Answers

Answer: x=50

how?

[tex]\frac{x}{2}[/tex] - 5= 20 (first ADD 5 with 20 whatever you do on one side you have to do it to the other) so that gives us:

[tex]\frac{x}{2}[/tex]=25 (we see that 2 is being divided by x and we want X alone so the inverse of division is MULTIPLICATION)

25 x 2= 50

therefor the x=50

the temperature dropped 4°c every hour for 5 hours. write an integer that represents the change in temperature

Answers

Answer:

20°C

Step-by-step explanation:

To find the change in temperature, we can multiply the values given.

4 * 5 = 20°C

Best of Luck!

In a river, a trout passed beneath a woman who was swimming at 1,800 centimeters per minute. The trout swam 8,000centimeters directly upstream at a constant velocity. It swam that distance in 0.8minutes. What was the trout's velocity?

Write your answer as a whole number.

centimeters per minute upstream

Answers

Answer:

It would approximately be 3.73 m/h

Step-by-step explanation:

0.8 mins is 48 seconds

I then divided 8000 by 48 seconds to see how many cm it traveled per second.

It traveled 166.666666667 cm per second

I then converted cm to feet

so it was 5.468066491699474 feet per second

I then converted feet to miles, so it was 0.0010356186537309611598 miles per second.

Then I multiplied it by 60 so it was 0.06213711922 miles per minute.

Finally I multiplied it by 60 again to make it 3.72822715343 miles per hour.

I rounded it to the nearest hundredth making it 3.73 m/h

this is like my 4th time posting this can someone plz help me

Answers

Answer:

35 degrees

Step-by-step explanation:

All angles of a triangle add up to 180 degrees.

180-120-25 = ?

? = 35

Answer:

35

Step-by-step explanation:

A group of friends wants to go to the amusement park. They have no more than $150
to spend on parking and admission. Parking is $13.50, and tickets cost $22.75 per
person, including tax. Write and solve an inequality which can be uused to determine
X, the number of people who can go to the amusement park.
FEE
Inequality:

Answers

Answer:

22.75x + 13.50 = 150

Step-by-step explanation:

Write the following terms as a product of prime factors.
12m²n^3 =
18m^3n =

Answers

Writing the terms as a product of prime factors; we have;

12m²n³ = 2 × 2 × 3 × m × m × n × n × n

18m³ n = 2 × 3 × 3 × m × m × m × n

According to the question:

We are required to write the following terms as a product of prime factors.

Prime numbers are numbers which are only divisible by themselves and the integer 1.

The prime factors of 12m²n³;

12m²n³ = 2 × 2 × 3 × m × m × n × n × n

The prime factors of 18m³n;

18m³n = 2 × 3 × 3 × m × m × m × n.

Read more:

https://brainly.com/question/145452

Which statement about this equation is true?
2x + 4 = 2(x + 2)

Answers

Answer:

number 3 is right

Step-by-step explanation:

this equation has infinitely many solutions

The difference between two positive numbers , 12/(x + 1) and 12/x , 1. () Form an equation in x and show that it reduces to x ^ 2 + x - 12 = 0 . (ii) Solve the equation x ^ 2 + x - 12 = 0 . () Hence , find the two numbers .

Answers

Answer:

Step-by-step explanation:

12

I need help with this question ​

Answers

Answer:

ijjjjjjjhgd ghhhh gghh

1.2 1,4


Which is the equation of a line that has a slope of -2/3 and passes through point
(-3,-1)?
o y=-2/3x+ 1
O y=-2/3x+3
o y=-2/3x-1
0 y=-2/3x - 3

Answers

We have to find b

(-3,-1)m=-2/3

[tex]\\ \sf\longmapsto y=mx+b[/tex]

[tex]\\ \sf\longmapsto -1=\dfrac{-2}{3}(-3)+b[/tex]

[tex]\\ \sf\longmapsto -1=-2(-1)+b[/tex]

[tex]\\ \sf\longmapsto -1=2+b[/tex]

[tex]\\ \sf\longmapsto b=-3[/tex]

Now put in equation

[tex]\\ \sf\longmapsto y=\dfrac{-2}{3}x-3[/tex]

Option D

I NEED HELP ASAP. BRAINLIEST TO THE CORRECT ANSWER.

Jane invests £300 at a simple interest rate of 4.5% per year. At the end of each year, Jane gives the interest to a charity Work out the least number of years it will take for the total amount given to the charity to be greater than £50. Show your workings.

Answers

Answer:

At least 4 years

Step-by-step explanation:

Simple interest is given by

I = Prt

so here, one year's interest is

I = 300(.045) = 13.5

Divide 50 by 13.5 and get 3.7 years...thus

she will need four years to donate 50...

Step-by-step explanation:

Interest Rate = (Simple Interest × 100)/(Principal × Time).

given

Principal(P) = 300

Interest Rate(I.R) = 4.5%

Simple Interest(S.I) = 50

required

Time(T)

I.R = (S.I × 100)

(P ×T)

T × I.R = (S.I × 100) ×T

I.R (P × T) × I.R

T = (S.I × 100)

(P × I.R)

= (50 × 100)

(300 × 4.5)

= 5000

1350

=3.7

Tim wants to prove that BA≅BC by proving △BXA≅△BXC
. He knows that: BX is the perpendicular bisector of segment AC, and therefore
any point on BX is equidistanct from point A and point C.
Why is
△BXA≅△BXC?

B.
Side-Side-Side (SSS) Theorem

C.
Angle-Side-Angle (ASA) Theorem

D.
Angle-Angle-Side (AAS) Theorem

E.
Hypotenuse Leg Theorem

Answers

Answer:

hh

Step-by-step explanation:


Student Council plans on selling fresh hamburgers at the homecoming game. They
bought 40 lbs of ground chuck to use to make burgers and each burger uses 0.25 lbs
of chuck to make. What is the most amount of burgers they can sell at the game

Answers

Answer:

Student Council can make at the most 160 fresh burgers.

Step-by-step explanation:

Take 0.25 and divide it by 40.

0.25 / 40 = 160

Which number is greater than 1/4​

Answers

Answer:

what numbers are we choosing from?

it isnt showing up if you attached an image.

but anyways 3/4 is larger.

The answer to the question are a lot. You just need to pick one from these

2/4, 3/4, 4/4, 1

What is the slope of line segment betweem the points (-1,-1) and (-2,-4)

Answers

Answer: 3

Step-by-step explanation:

Slope formula: (y2 - y1)/(x2 - x1)

(-4 -(-1))/(-2-(-1)

(-4+1)/(-2+1)

-3/-1

= 3

For detailed, step-by-step explanations you can visit my fiverr account: kesja_

I provide detailed explanations for math questions for as little as $1!

Answer:

hope you like my answer its -3

-2 + 4k2 = -15 help pls

Answers

I got this…

not working at all.

Answer the question below

Answers

Answer:

box A.

Step-by-step explanation:

im not really sure

Answer:

BOX A

Step-by-step explanation:

The more of something there is, the more heavier it is.

Amtrak: 80 miles in 5 hours
Metra: 30 miles in 2 hours

Which train is faster? How do you know?

Answers

Answer:

hope it helps......................

Answer:

Hello, There! I'll be Glad to help

Question

Amtrak: 80 miles in 5 hours

Metra: 30 miles in 2 hours

Which train is faster? How do you know?

Answer

[tex]\textbf{Amtrak is correct}[/tex]

Step-by-step explanation:

So First we have to figure out Has fast the trains  go in 1 hour so we are going to divide...

Metra

30 ÷ 2 =  15 Miles  (Metra can go 15 Miles in one hour)

Amtrak

80 ÷ by 5 = 16  (Amtrak Can go 16 Miles in one hour)

_______________________________________

So If Metra Were to keep going  Here are the list of Miles Below

(45 Miles in 3 hours)

(60 Miles  in 4 hours)

(75 miles in 5 hours)

________________________________________

Amtrak

(96 Miles in 6 hours)

(112 miles in 7 hours )

(128 miles in 8 hours)

Therefore,  Amtrak  is the Fastest Train

Simplify 3 10 +7 15- 6 10 -4 15
O 3/10-315
O 315-3110
O 3130 -3120
O 3120-3130

Answers

Answer:

B

Step-by-step explanation:

please help me solve x please

Answers

Answer:

x = 5

Step-by-step explanation:

The exterior angle theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles.

In the given problem, the exterior angle is < B, and the non-adjacent interior angles are < D and < C.

Given that:

< B = 12x + 8

< D = 8x + 8

< C = 20°

Set up the following formula to solve for x:

(8x + 8) + 20 = 12x + 8

Combine like terms:

8x + 28 = 12x + 8

Subtract 8 from both sides:

8x + 28 - 8 = 12x + 8 - 8

8x + 20 = 12x

Subtract 8x from both sides:

8x - 8x + 20 = 12x - 8x

20 = 4x

Divide both sides by 4 to solve for x:

20/4 = 4x/4

5  = x

Therefore, x = 5.

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