How do u graph y=-2x

A machine at a bottling company fills water bottles. the number of bottles filled is proportional to the amount of time the mach

Whitepunk [10]

In the table shown below:

Let N be the number of bottles filled,

Let T be the time in hours.

Given that the number of bottles filled is proportional to the amount of time the machine runs, we have

$\begin{gathered} N\propto T \\ \text{Introducing a proportionality constant, we have } \\ N\text{ = kT} \\ \Rightarrow k\text{ = }\frac{N}{T} \\ \end{gathered}$

Let's evaluate the value of k for each day.

Thus, on monday,

$\begin{gathered} N\text{ = 9900} \\ T\text{ = 5.5} \\ \text{thus,} \\ k\text{ = }\frac{9900}{5.5} \\ \Rightarrow k\text{ = 1800} \end{gathered}$

Tuesday:

$\begin{gathered} N\text{ = }11160 \\ T\text{ = }6.2 \\ \text{thus,} \\ k\text{ = }\frac{11160}{6.2} \\ \Rightarrow k\text{ = 1800} \end{gathered}$

Wednesday:

$\begin{gathered} N\text{ = }12330 \\ T\text{ = }6.25 \\ \text{thus,} \\ k\text{ = }\frac{12330}{6.25} \\ \Rightarrow k\text{ = 1972.8} \end{gathered}$

Thursday:

$\begin{gathered} N\text{ = }10440 \\ T\text{ = }5.80 \\ \text{thus,} \\ k\text{ = }\frac{10440}{5.8} \\ \Rightarrow k=1800 \end{gathered}$

It is observed that all exept wednesday have the same value of k.

Thus, the amount of time required for the number of bottles filled on wednesday is evaluated as

$\begin{gathered} N\text{ = }12330 \\ k\text{ = 1800} \\ T\text{ = ?} \\ \text{but} \\ k\text{ = }\frac{N}{T} \\ 1800\text{ = }\frac{12330}{T} \\ \Rightarrow T\text{ = }\frac{\text{12330}}{1800} \\ T\text{ = 6.85} \end{gathered}$

Hence, the incorrect day is Wednesday. The amount of time for that many bottles should be 6.85 hours.

3 0

1 year ago

What is the y intercept of (-4,6) and (1,-9)

vladimir1956 [14]

Answer:

what is the y intercept of (-4,6) and (1,-9) : (3,-12)

Step-by-step explanation:

7 0

3 years ago

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EXPERT HELP: EXPLAIN THE ANSWER AND DON'T GUESS<br><br> Tell me the mean of each brand

rosijanka [135]

Answer:

D

Step-by-step explanation:

IF you count the dots for each graph, you would see that the minimum for B is Higher than group A's maximum, Therefore, the numbers do not overlap. This means that at a simple glance you can see which company does better.

6 0

3 years ago

PLEASE HELP ME I WILL GIVE BRAINLIEST AND EXTRA POINTS TO WHO EVER ANSWERS FIRST

Lapatulllka [165]

Number 4: the slope is 3/4
number 5: y-intercept is 2

4 0

3 years ago

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A scoop of ice cream is the shape of a whole perfect sphere sits in a right cone.

Andrei [34K]

Answer:

10 cm

Step-by-step explanation:

The volume of a sphere is given by the formula ...

V = 4/3πr³

The volume of a cone is given by the formula ...

V = 1/3πr²h

The ratio of the volume of the cone to that of the sphere is ...

Vcone/Vsphere = (1/3πr²h)/(4/3πr³) = h/(4r)

In order for the ratio to have a value of 1, we must have ...

h = 4r

The height of the cone must be 4×2.5 cm = 10 cm to fit all of the ice cream.

7 0

3 years ago

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