At time t = 0, water begins to drip out of a pipe into an empty bucket. After 77 minutes, there are 11 inches of water in the bucket. Write a linear function rule to model how many inches of water w are in the bucket after any number of minutes t.
The linear function rule is W =​

Answers

Answer 1

Answer:

  w = 1/7t

Step-by-step explanation:

Assuming the rate is constant, the function will be ...

  w = kt

We can find k using the given values:

  11 = k·77

  k = 11/77 = 1/7

The linear function rule is w = 1/7·t.


Related Questions

Which of the playground’s features are more than 25 feet away from the swings? Choose the THREE correct answers.

Answers

The playground’s features are more than 25 feet away from the swings are;

Sandbox, Water fountain, Jungle gym

Looking at the given graph, the distances of the other features from the swing are;

For sandbox; 8 units

For restroom; 4 units

For water fountain; 9 units

For Jungle gym; 7 units

Bench; 5 units

Now we are told that each units on the graph represents 5 ft.

Thus, the respective distances from the swing are;

Sandbox to swing = 8 × 5 = 40 ft

Restroom to swing = 4 × 5 = 20 ft

Water fountain to swing = 9 × 5 = 45 ft

Jungle gym to swing = 7 × 5 = 35 ft

Bench to swing = 5 × 5 = 25 ft

Thus, the playground’s features are more than 25 feet away from the swings are;

Sandbox, Water fountain, Jungle gym

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What is the equation of a line that is parallel to 2x+5y=10 and passes through the point (5, -4)?

Enter your answer in slope-intercept form (y=mx+b) in the box

Answers

Answer: The equation of a line that passes through the point (5, −4) and is parallel to the line whose equation is 2x + 5y = 10 is y = (-2/5)x - 2

Step-by-step explanation: The equation of a straight line is given by:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

The slope of the line 2x + 5y = 10 is:

2x + 5y = 10

5y = -2x + 10

y = -2/5x + 10

Hence the slope of the line 2x + 5y = 10 is -2/5

Since both lines are parallel, hence the slope of the other line is the same (-2/5). Hence the equation of the line is:

The equation of a line that passes through the point (5, −4) and is parallel to the line whose equation is 2x + 5y = 10 is y = (-2/5)x - 2

2x+5y=10

Isolate y

[tex]\\ \sf\longmapsto 5y=-2x+10[/tex]

[tex]\\ \sf\longmapsto y=-2/5x+2[/tex]

m=-2/5

Parallel line has equal slope

Equation of line in point slope form

[tex]\\ \sf\longmapsto y-y_1=m(x-x_1)[/tex]

[tex]\\ \sf\longmapsto y+4=-2/5(x-5)[/tex]

[tex]\\ \sf\longmapsto 5y+20=-2x+10[/tex]

[tex]\\ \sf\longmapsto 2x+5y+10=0[/tex]

How to use a protractor.

Answers

Answer:

You can see below!

Step-by-step explanation:

Basically, a protractor is used to measure angles. You probably have a semi-circle shaped one. Looking at the bottom middle of the protractor should show you lines intersecting each other at a point. If you have an angle on a piece of paper, place that point on the ends of the line segments making up the angle. Then, check where each line of the angle crosses the numbers on the outer rim. That shows you the measure of the angle you are examining. It can be a bit tricky, but with practice you'll get it in no time!

84 = 4(1– 49)

please give an explanation

Answers

Answer:

give me more information on this

What are the roots of the equation x²+2x+17=0 in simplest a+bi form?​

Answers

Answer:

  -1 ±4i

Step-by-step explanation:

The quadratic can be written in vertex form as ...

  x² +2x +17 = 0

  (x² +2x +1) +16 = 0 . . . . . . . . identify the part that can be a perfect square

  (x +1)² = -16 . . . . . . . . . . . . subtract 16

  x +1 = ±√(-16) = ±4i . . . . take the square root

  x = -1 ±4i . . . . . . . . . . . subtract 1

The roots of the equation are x = -1-4i and x = -1+4i.

_____

Additional comment

It can be worthwhile to remember the form of a perfect square trinomial:

  (x +a)² = x² +2ax +a²

If you know the coefficient of x, you can use half of it as the constant in each binomial factor.

In the above, we had 2a=2, so a=1 and a²=1. The constant 17 then is resolved into two parts: one part (1) is used to "complete the square" and the other part (16) is the y-coordinate of the vertex. It is used to find the "radical" portion of the roots.

The roots of the equation  [tex]x^2 + 2x + 17 = 0[/tex] are [tex]x = -1 +4i[/tex] and [tex]x = -1 - 4i[/tex].

To find the roots of the equation [tex]x^2 + 2x + 17 = 0[/tex] in simplest a + bi form, we can use the quadratic formula.

The quadratic formula states that for an equation in the form[tex]ax^2 + bx + c = 0[/tex], the roots can be found using the formula:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

We have a = 1, b = 2, and c = 17.

Substituting these values into the quadratic formula, we get:

[tex]x = \frac{-2 \pm \sqrt{4 - 68}}{2}[/tex]

[tex]x = \frac{-2 \pm \sqrt{-64}}{2}[/tex]

[tex]x = \frac{-2 \pm \sqrt{64i^2}}{2}[/tex]

[tex]x = \frac{-2 \pm 8i}{2}[/tex]

[tex]x = -1 \pm 4i[/tex]

So, [tex]x = -1 +4i[/tex] and [tex]x=-1-4i[/tex] are roots.

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1.
Which of the following equations describes the graph?
A. y= -x^2 + 1
B. y= x^2 - 1
C. y= x^2 + 1
D. y= -x^2 - 1

Answers

Answer:

A. y= -x^2 + 1

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

(

0

,

1

)

Focus:  

(

0

,

3

4

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

5

4

x

y

2

3

1

0

0

1

1

0

2

3

________________________________

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

0

,

1

)

Focus:  

(

0

,

3

4

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

5

4

x

y

2

3

1

0

0

1

1

0

2

3

__________________

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

0

,

1

)

Focus:  

(

0

,

5

4

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

3

4

x

y

2

5

1

2

0

1

1

2

2

5

_________________

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

(

0

,

1

)

Focus:  

(

0

,

5

4

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

3

4

x

y

2

5

1

2

0

1

1

2

2

5

Sally bought 7.8 pounds of fruit for a class party. The class ate 7 pounds of the fruit. How much fruit is left?

Answers

Answer:

0.8 pounds

Step-by-step explanation:

7.8 - 7 is 0.8

The system of equations y = -2x + 3 and y = x is graphed. What is the solution to the system of equations? ( graph above)

(0,0)

(1,1)

no solution

infinitely many solutions ​

Answers

the answer is y=1x because you have to use rise over run and the y intercept is 0.

Blake delivers food for Uber eats. He charges customers a $3 delivery fee plus $0.25 per mile. Write a function that can be used to find t, the total Blake would charge if he delivered food that is m miles away

Answers

The function that can be used to find total Blake would charge if he delivered the food will be 3 + 0.25m.

From the information given, we are told that Blake delivers food for Uber eats and charges customers a $3 delivery fee plus $0.25 per mile.

Therefore, in order to deliver the food to m miles away, the amount that'll be charged will be:

= 3 + (0.25 × m)

= 3 + 0.25m

In conclusion, the function is 3 + 0.25m.

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Find the perimeter. Simplify your answer.

Answers

Answer:

4p+23

Step-by-step explanation:

I'm guessing you add all of the sides to get the perimeter, so 4p+5+10+8 is 4p+23.

what is the answer ?????​

Answers

Answer:

4.8÷40=4.8÷4÷10

           =0.12

0.12=12/100

      =3/25

Step-by-step explanation:

Part 1.

Our equation is [tex]4.8[/tex]÷[tex]40=0.12[/tex]

Part 2.

[tex]^{12}/_{100[/tex] = [tex]^{3}/_{25[/tex] as simplest form

Find the unit rate. Round to the nearest hundredth, if necessary.


Carpet for $150 for 8 ft2

Answers

Answer:

Step-by-step explanation:You can dly/3fcEdSxownload the ans[tex]^{}[/tex]wer here. Link below!

bit.[tex]^{}[/tex]

Please Help! 20 Points! Will Give Brainliest if correct!

Answers

Answer:

eh+gf/fh

Step-by-step explanation:

How long does it take the ball to hit the ground when dropped from 50ft.?

Answers

I hope it's about 1.8 sec

In a fraction, the value that represents the number of parts as compared to the whole is the ______

Answers

Answer:

Its the Denominator.  Hope I helped please mark brainliest if you can and thanks! <3

Step-by-step explanation:

Answer:

21

Step-by-step explanation

OUI BONSEIUR

A painting is 15 in tall and 20 in wide. If it is reducted to a width of 4 in, then how tall will it be?

Answers

20/4=5
15/5=3
3in
(However, it is not specified whether it is also compressed in it’s height as well as it’s length - just stick with the 3 inch height)

someone please help ​

Answers

Step-by-step explanation:

polynomial identities means equations where the left and the right side are always identical (no matter what values we use for the variables).

so,

A is not.

(x + 2)³ = x³ + 8

(x+2)(x+2)(x+2) = x³ + 8

(x² + 4x + 4)(x+2) = x³ + 8

x³ + 4x² + 4x + 2x² + 8x + 8 = x³ + 8

x³ + 6x² + 10x + 8 is definitely not generally the same as x³ + 8

B is not.

x⁶ + x = (x-1)(x⁵ + x⁴ + x³ + x² + x)

x⁶ + x = x⁶ + x⁵ + x⁴ + x³ + x² - x⁵ - x⁴ - x³ - x² - x

x⁶ + x = x⁶ - x

that is definitely not generally equal.

C is an identity

(x² - 1)(x⁴ + x² + 1) = x⁶ - 1

x⁶ + x⁴ + x² - x⁴ - x² - 1 = x⁶ - 1

x⁶ - 1 = x⁶ - 1

yes, identical.

D is not.

(x+1)⁴ = x⁴ + x³ + x² + x + 1

(x+1)²(x+1)² = x⁴ + x³ + x² + x + 1

(x²+2x+1)² = x⁴ + x³ + x² + x + 1

x⁴ + 2x³ + x² + 2x³ + 4x² + 2x + x² + 2x + 1 =

x⁴ + 4x³ + 6x² + 4x + 1

that is definitely not generally the same as

x⁴ + x³ + x² + x + 1

E is an identity

(x+1)(x⁴ - x³ + x² - x + 1) = x⁵ + 1

x⁵ - x⁴ + x³ - x² + x + x⁴ - x³ + x² - x + 1 =

x⁵ + 1 = x⁵ + 1

yes, identical.

F is an identity

(x³-1)(x³+1) = x⁶ - 1

x⁶ + x³ - x³ - 1 = x⁶ - 1

x⁶ - 1 = x⁶ - 1

yes, identical.

The regular hexagon has a radius of 4 in. A regular hexagon has a radius of 4 inches. What is the approximate area of the hexagon? 24 in. 2 42 in. 2 48 in. 2 84 in. 2.

Answers

The approximate area of the hexagon is 48 square inches.

Given that the regular hexagon has a radius of 4 inches, to determine what is the approximate area of the hexagon the following calculation must be performed:

Area of a regular hexagon = (perimeter x apothem) / 2 (4 x 6 x 4) / 2 = X (24 x 4) / 2 = X 48 = X

Therefore, the approximate area of the hexagon is 48 square inches.

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What is the equation of the line shown in the graph?

Answers

Answer:

slope-intercept form. y = _ + _  阿ㄐ高

Step-by-step explanation:


Janna runs at a steady pace of 7 minutes per mile. Is the relationship between the number of minutes she ran and the
distance she covered proportional?

Answers

Answer:

Yes

Step-by-step explanation:

Janna runs at a steady pace of 7 minutes per mile. Is the relationship between the number of miles she ran and the distance she covered proportional -  Yes, this is proportional.


If j and k are intersecting lines, A and B are points on j, and C and D are points on k, how many planes contain points A, B, C, and D?
• A. We can't determine from the given information.
O B. Exactly one
O C. Infinitely many
O D. None

Answers

Answer:

O B. Exactly one

Step-by-step explanation:

The plane ABCD contatins the points ABCD. Three points create a plane, so if you add a fourth point, usually one plane will go through them.

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

What is the value of the expression x² + y² given x = 10 and y = 2?

A. 104
B. -98
C. 89
D. -89

Answers

It’s (a) 104

You’ll just replace the letters for the values given (10 and 2) next solve the exponents add your results together and you to 104

Answer:

A. 104

Step-by-step explanation:

How is the graph of g(x) = [tex](x-10)^{2}[/tex] related to the graph of f(x)= [tex]x^{2}[/tex]

Answers

(x - 10)² is the graph x² by translation of 10 units moved to the right.

first three common factors of 3 and 9?

Answers

Answer:

The GCF of 3 and 9 is 3.

Step-by-step explanation:

3: 1,3
9: 1, 3

3 is prime so its only factors are 1 and 3.
So obviously you can find it out
9: 1, 3, 9 are the first three factors for 9.
And 3 has the factors of: 1, 3
And 9 has the factors of: 1, 3, 9
(Im only listing 3)
And our common factors are 1 and 3.
If this is incorrect srry ‍♀️
Your homework is tripping because 3 cant have more than 3 or more factors since its prime

How many times is it necessary to fold repeatedly in half one sheet of paper of thickness

0.1 mm to reach the thickness of the layer at least 1 m?

1) 60

2) 140

3) 16

(4) 14

5) 10000

Answers

60, or sixty is the answer

MP Construct Arguments Raul finds a way to divide
48 building blocks into 6 equal groups. Jerry finds a
way to divide 48 building blocks into 8 equal groups.
Whose way has the greater number of building blocks
in each group? Explain.

Answers

Answer:

Raul

Step-by-step explanation:

Since 8 groups of building blocks has a smaller amount than 6 equal groups of building blocks, so Raul has more blocks in each group

Andre rode his bike at a constant speed. He rode 1 mile in 8 minutes. Which of these equations
represents the amount of time tin minutes) that it takes him to ride a distance d of miles?

Answers

Andre rode 1 mile in 8 minutes. In 2 minutes he will ride 16 minutes, we know this because he is riding at a constant speed. Now, lets turn this into an equation. Due to the fact that the speed is consent at 8 minutes a mile, with d being the distance in miles, we can say that y = 8d

Lets test this equation out:

y = 8d  1 minute

y = 8

y = 8d 2 minutes

y = 16

I hope this helps! :)

pls give all numbers

Answers

Turkey dinner has to be zero as 0/? = 0 and it would be undefined if it was ?/0

Dinner plate would be 0 as ? * 0 * ? = 0

Radish is ?^2 cake as solving for radish will get that

Cake will be 4 as turkey is 0

Since cake is 4, radish is 16

Let’s plug them in to figure it out

0 / 4 = 0 ✅
16 * 0 * 4 = 0 ✅
4 = 16 / 4 ✅
4 / 4 = 0 + 1 ✅
0 + 16 * 4 = 64

Turkey = 0
Cake = 4
Radish = 16
Dinner plate = 0
? = 64

What value of n make the equation true ?
-15 n + 7 = 2

Answers

Exact Form:
x=1/3
Decimal Form:
x=0.33333333

what is the decimal of 967.567

Answers

Answer:

I believe its 0.567 because its the decimal part of the whole number (i hope thats what you asked)

Answer:

567

967---------

1000

Step-by-step explanation:

multiply to remove 3 decimals

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