7. A bucket is empty. You are filling the bucket with water at a rate of
3 inches per second.
a. Plot the points (0,0) and (5, 15).
b. What do the points in part (a) represent?
c. Draw a line through the points.
d. What does the line represent?
e. Write an equation of the line.

Answers

Answer 1

Answer:

a. Please find attached the plot of the points (0, 0) and (5, 15)

b. The point (0, 0) represents the start point

The point (5, 15) represents the point in the relationship between the water level and the change in time after 5 seconds

c. Please find attached the graph showing the Linear Trendline drawn between the points (0, 0) and (5, 15)

d. The line represents the possible combination time and water level during filling the bucket

e. The equation of the line is y = 3·x

Step-by-step explanation:

The rate at which the empty bucket is filled = 3 inches per second

a. Please find attached the plot made with Microsoft Excel of the points (0, 0) and (5, 15)

b. The points in part (a) (0, 0) and (5, 15) represent the following stages;

1) The point (0, 0) represents the point where the bucket is initially empty before filling the bucket with water

2) The point (5, 15) represents the 5 seconds of filling the bucket with water to a level of 15 inches

c) Please find attached the plot of the points with a Linear Trendline drawn between the points created with Microsoft Excel

d. The straight line drawn from point (5, 15) and passing through the origin at (0, 0) represents the proportional relationship between the water level in the bucket and the amount of time used in filling the bucket

e. The equation of the line is the equation of a proportional relationship which can be expressed in the following form;

y = kx

k = y/x

At the point (5, 15), we have;

y = 15, and x = 5

∴ k = 15/5 = 3 = The rate at which the bucket is filled with water

k = 3

Therefore, we have;

y/x = k = 3

∴ y/x = 3

y = 3 × x = 3·x

The equation of the line is therefore;

y = 3·x

7. A Bucket Is Empty. You Are Filling The Bucket With Water At A Rate Of3 Inches Per Second.a. Plot The
7. A Bucket Is Empty. You Are Filling The Bucket With Water At A Rate Of3 Inches Per Second.a. Plot The

Related Questions

Simplify: –3(y + 2)2 – 5 + 6y

What is the simplified product in standard form?

y2 +
y +

Answers

- 17 woule be the correct answer for the equation being simplified

Answer:

For edge

Step-by-step explanation:

The first one is -3

The second one is -6

The last one is -17

A wheel barrow with several bricks weighs more than a wheel barrow with just a few bricks. Rewrite the sentence in the format below and identify the variables. ______________ depends on ________________ What is the independent variable and the dependent variable?

Answers

Answer:

Step-by-step explanation:

The laden weight of a wheelbarrow depends upon the number of bricks one puts into it.  This weight is the dependent variable and the number of bricks is the independent one.

The cause is the independent variable, while the effect is the dependent variable. The weight of the wheelbarrow depends on the number of bricks.

What are the Independent variable and dependent variables?

The cause is the independent variable. Its value is unaffected by the other factors in your research.

The effect is the dependent variable. Its value fluctuates as the independent variable changes.


The sentence can be completed as,

The weight of the wheelbarrow depends on the number of bricks.

The Independent variable is the number of bricks, while the dependent variable is the weight of the wheelbarrow.

Learn more about Independent Variable and Dependent Variable:

https://brainly.com/question/21651586

#SPJ2

if y varies inversely as x, and y =35 when x =14, find x when y =15.

Answers

Answer:

[tex]x = 32 \frac{2}{3} [/tex]

Step-by-step explanation:

[tex]y = \frac{k}{x} ,where \: k \: is \: a \: constant.[/tex]

Let's find the value of k first.

When y= 35, x= 14,

[tex]35 = \frac{k}{14} [/tex]

k= 14(35)

k= 490

Substitute the value of k into the equation:

[tex]y = \frac{490}{x} [/tex]

When y= 15,

[tex]15 = \frac{490}{x} [/tex]

15x= 490

x= 490 ÷15

[tex]x = 32 \frac{2}{3} [/tex]

what is the negative solution to this equation? 4x^2+12x=135​

Answers

Answer:

[tex]-\frac{15}{2}[/tex]

Step-by-step explanation:

[tex]\mathrm{Subtract\:}135\mathrm{\:from\:both\:sides}[/tex]

[tex]4x^2+12x-135=135-135[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]4x^2+12x-135=0[/tex]

[tex]x1, 2=−b±√b2−4ac2a For a=4, b=12, c=−135x1, 2=−12±√122−4· 4(−135)2· 4[/tex]

Resuelve usando el método de sustitución o el de eliminación. Para un juego de baloncesto se vendieron 1,850 boletos. Se recaudo un total de $ 8,800. Si los boletos de niños cuestan $ 4 y los de adultos cuestan $ 6. ¿Cuántos boletos de cada clase se vendieron?

Answers

Answer:

Se vendieron 700 boletos para adultos y 1,150 boletos para niños.

Step-by-step explanation:

Primero tenemos que definir dos variables:

x = número de boletos de niños vendidos

y = número de boletos de adultos vendidos.

Entonces podemos escribir la recaudación total como:

x*$4 + y*$6

Y sabemos que la recaudación total fue $8,800, entonces:

x*$4 + y*$6 = $8,800

También sabemos que se vendieron 1,850 boletos, entonces:

x + y = 1,850

Entonces tenemos el sistema de ecuaciones:

x*$4 + y*$6 = $8,800

x + y = 1,850

En este caso podemos utilizar el método de sustitución, para ello primero debemos aislar una de las variables en una de las ecuaciones.

Si aislamos x en la segunda ecuación tenemos:

x = 1,850 - y

Ahora podemos sustituir esto en la otra ecuación para obtener:

(1,850 - y)*$4 + y*$6 = $8,800

Ahora podemos resolver esto para y.

$7,400 - y*$4 + y*$6 = $8,800

y*$2 = $8,800 - $7,400 = $1,400

y = $1,400/$2 = 700

Entonces se vendieron 700 boletos para adultos.

Ahora podemos usar la ecuación x = 1,850 - y para obtener el valor de x.

x = 1,850 - y

x = 1,850 - 700 = 1,150

Se vendieron 1,150 boletos para niños.

At your full-service. 500 room hotel, typically, 1/4 of the guests will request
room service per day. How many room service calls will likely be received in
the next 7 days?


a.850
b.875
c.900
d.925

Answers

B. 875
1/4 of 500 is 125. So 125 is how much they pay for day approx. 125 times the seven days will be 875.

How does 5x + 15 = 45
HELP PLZ

Answers

Answer:

When finding these problems we always have to do the opposite of the operation shown.

In this case its:

5x + 15 = 45

Subtract 15 from both sides (we start off with constants and numbers that are being shown) The reason why its subtraction is because since your adding 15 to 5x the opposite of that is subtraction so use the number shown by itself and subtract it from both sides.

5x = 30

Divide by 5 on both sides since the opposite of 5x is division (only use the number that is shown) We have to get rid of all the numbers on the left.

therefore you'll be left with:

X = 6

Answer:

X=6

Step-by-step explanation:

5x+15=45

5x=45-15

5x=30,divide both sides by 5 to get x

x=6

The perimeter of a square garden is (20k+36) feet. Write an expression

Answers

Answer:

5k+9

Step-by-step explanation:

Since it's a square, all four sides are equal so divide the equation of the total by 4.

20k/4=5k

36/4=9

The length of one side of the garden can be represented by the expression:

5k+9

Find the measure of C from the circle below:

Answers

Answer:

Step-by-step explanation:

Sddviwedcbhbdciuasdlasadc

Answer:

142

Step-by-step explanation:

Okay look here, I'm not always accurate! But I am mature, I do algebra so I might be accurate, but I'm not always accurate.

Write a linear equation in slope intercept form using the given point and slope.
(6,-6); slope = 2/3

Answers

Answer:

2/3x-10

Step-by-step explanation:

y=mx+b

y=2/3x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(6,-6). When x of the line is 6, y of the line must be -6.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the 2/3 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (6,-6).

So, why not plug in for x the number 6 and for y the number -6? This will allow us to solve for b for the particular line that passes through the point you gave!.

(6,-6). y=mx+b or -6=2/3 × 6+b, or solving for b: b=-6-(2/3)(6). b=-10.

so, y=2/3x-10

Evaluate 5+x; if x=7

Answers

x = 7


5 + x can also be written as 5 + 7

5 + 7 = 12

Answer:

12

Step-by-step explanation:

Can anyone answer this?​

Answers

Step-by-step explanation:

a) First we will convert 150km/hr to m/s.

[tex] \frac{150km}{1hr} = \frac{(150 \times 1000)m}{(1 \times 60)s} \\ = \frac{150000m}{60s} \\ = 2500m \: per \: second[/tex]

=2500m/s, which is the initial speed of the plane.

b)Final Speed of plane = Speed when it stopped.

= 0m/s.

c)Time taken to stop = 3 seconds.

d)Using the kinematic equation,

v = u + at,

where v = Final Speed = 0m/s

u = Initial Speed = 2500m/s

a = acceleration

t = time taken = 3 seconds

Substitute v, u and t to find a.

[tex]0 = 2500 + 3a \\ 3a = - 2500 \\ a = - 2500 \div 3 \\ = - 833 \frac{1}{3} \frac{m}{ {s}^{2} } [/tex]

an electronics store is selling a new tv for $640.00 if there is an 8% sales tax what is the actual cost of the tv

Answers

Answer:

$691.20

Step-by-step explanation:

640 * 1.08 = 691.2

Answer:

$592.59

Step-by-step explanation:

After tax=640

tax=8%

x= original price

x+8% of x=640

1.08x=640

x=640/1.08

x is approximately 592.59

Solve the inequality $-4(x + 4) > x + 7.$ Give your answer as an interval.

Answers

Answer:

x < -4.6

Step-by-step explanation:

-4(x + 4) > x + 7

-4x - 16 > x + 7

-4x - x > 7 + 16

-5x > 23            (When we divide by a negative number, we flip the sign)

5x < -23

x < -4.6

how many 5ths are in 3 3/5

Answers

Answer:

18

Step-by-step explanation:

3 3/5 = 18/5

Can you please solve for x?

Answers

Answer:

The measurement of angle L is given by the expression 180° – 130°. So, angle L measures 50°.

Step-by-step explanation:

I really need help Please and thank you ​

Answers

la B s la correcta por que es el que esta mas serca :)

Having a wife is monogamy. Having two wives is bigotry. Having three wives is ______________.

Answers

Answer:

polygamy

Step-by-step explanation:

Answer:

polygamy :)

Explanation:

Please help meeeeeeeeeee!

Answers

0.86602540378 is the sign of 60 degrees

HELPPPP
find the perimeter of the parallelogram!!!

Answers

Answer:

76ft.

Step-by-step explanation:

P = 2L +2H

P = 2(17) + 2(21)

P = 34 + 42

P = 76

Answer:

76 ft

Step-by-step explanation:

(21 x 2) + (17 x 2) = 42 + 34 = 76 ft

square root of 110 - n

Answers

Answer:

√(110 - n)

Step-by-step explanation:

This can't be simplified.  All we can do here is re-write "square root of 110 - n" symbolically, which comes out to √(110 - n).  The parentheses are essential for clarity.

take the difference of 7x² + 9 and 2x² -2x from the sum of 5x² + 4x + 7 and 2 - x.​

Answers

Answer:

bro i am not smart enough for this

A table of values for the cost of a phone plan in terms of the time spent on the phone is shown below.
Time (minutes) Cost ($)
20 17.95
30 19.45
60 23.95

Answers

I think
30 19.45
Not sure though

Answer this question to get marked as brainliest!!!!

Answers

Answer:

Diameter is the second option

Radius is the first option

Circumference is the third option

Area is the sixth option.

Step-by-step explanation:

Diameter is the distance between two circles from one end to another.

Radius is from the center to any part of the circle

To find cirumfrnce it’s diameter*π

To find area is πr^2 or in this case π*radius*radius

Disinvitedrkeiffxisivisosobo cisibibisihittieigiiigigisiibidcisividbisiAriii

Answers

Answer:

um that's veryyy creepy.....

Mrs. Phillips has some cans of peas, beans, corn, and carrots without labels. When a can is chosen randomly, the probability of picking a can of peas is 110, a can of beans is 310, and a can of corn is 12. What is the probability of picking a can of carrots? Select ALL that apply.
1/10


1/5


9/10


10%


20%


90%

Answers

Answer:

i think it is 20 percent

Step-by-step explanation:

what is the average rate of change of the function f(x) over the interval [1,3] rounded to the nearest whole number f(x)=6(2.5)

Answers

Answer:

[f(1) - f(3)] / [1–3]

Step-by-step explanation:

Formula

f(x) = 6(2.5)

How to find

The average rate of change over the interval [a,b], or the secant line between the points a and b on the function f(x), is [f(a) - f(b)]/[a-b]. So, substitute a for 1 and b for 3, and you get [f(1) - f(3)] / [1–3]. The quotient of that is your average rate of change.

What is the ordered pair where the two lines intersect? no links

Answers

Answer:

you need to plug in the values and see whether they work on both lines.

Pls help me i will give u brainlist

Answers

Answer:

y  < or= -3/2

Step-by-step explanation:

Answer:

< or= -3/2

Step-by-step explanation:

Please help, having trouble with this

Answers

12x+6=9x-15 (subtract variables, smaller one)
-9x. -9x
3x+6=-15 (subtract 6 to both sides)
-6. -6
3x=-21 (divide 3)
x=-9

Answer:

it’s -7

Step-by-step explanation:

because when you subtract the 6 from both sides you get 12x=9x-21 then subtract the 9x from both sides to get 3x=-21 then divide both sides by 3 to get x=-7.

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