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MArishka [77]
3 years ago
13

Find the measurement indicated in each parallelogram.

Mathematics
1 answer:
AleksandrR [38]3 years ago
3 0
Idk if it wants the degree signs though.

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

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1 year ago
How to solve 832 divide 32 multiply by 5 =
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The answer is 130 ...
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3 years ago
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Yo can someone help me with this please and please ex plain
Novay_Z [31]

Answer:

c) The car dealer's business is expanding rapidly.

Step-by-step explanation:

You can tell because they're selling more and more every month.

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2 years ago
Solve and explain how you did​
Sliva [168]

Answer:

We conclude that:

  • -\left(9x\right)^0=-1

Step-by-step explanation:

Given:

-\left(9x\right)^0

To determine:

Explain how to solve the expression

<u>Solving the expression</u>

-\left(9x\right)^0

Apply the exponent rule

a^0=1,\:\quad \:a\ne \:0

so the expression becomes

-\left(9x\right)^0\:=\:-1

Therefore, we conclude that:

  • -\left(9x\right)^0=-1
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3 years ago
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