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fiasKO [112]
1 year ago
7

What is the relationship between the conversion factors used in Part A of Model 2? Whatabout the conversion factors used in Part

B of Model 2?

Mathematics
1 answer:
Lelu [443]1 year ago
6 0

Given:

The conversions from meter to inches and inches to meter are shown in part A of model 2.

The conversions from liters to quarts and quarts to liters are shown in part B of model 2.

Required:

To find the relationship between the conversion factors used in Part A of Model 2.

To find the relationship in the the conversion factors used in Part B of Model 2.

Explanation:

We have given that 1 meter = 39.4 inches.

Thus, from the calculations shown in part A of model 2, we can conclude that the quantity from meters to inches is converted as:

1.5\times39.4=59

Thus, 1.5 m =59 inches.

Also, the quantity from inches to meters is converted as:

\frac{59}{39.4}=1.5

Hence, 59 in = 1.5 m.

Next,

We have 1 L = 1.06 qt.

Thus, from the calculations shown in part B of model 2, we can conclude that the quantity from quarts to liters is converted as:

\frac{186}{1.06}=175

Thus, 186 quarts = 175 L.

Also, the quantity from liters to quarts is converted as:

175\times1.06=186

Hence, 175 L = 186 qt.

Final Answer:

We conclude that:

While converting from meters to inches, we multiply the quantity 1.5 by the equality quantity given.

While converting from incehs to meters, we divide the quantity 59 by the equality quantity given.

Also, While converting from quarts to liters, we divide the quntity 186 by the equality quantity given.

While converting from liters to quarts, we multiply the quntity 175 by the equality quantity given.

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7 0
2 years ago
What is the sum of the first seven terms of the geometric series 2 - 10 +50 -...?
Umnica [9.8K]

Answer:

26042.

Step-by-step explanation:

What's the first term of this geometric series?

2.

What's the common ratio of this geometric series?

Divide one of the terms with the previous term. For example, divide the second term -10 with the first term 2.

\displaystyle r = \frac{-10}{2} = -5.

What's the sum of this series to the seventh term?

The sum of the first n terms of a geometric series is:

\displaystyle a_1 \cdot \frac{1-r^{n}}{1-r},

where

  • a_1 is the first term of the series,
  • r is the common ratio of the series, and
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\displaystyle 2 \times\frac{1- (-5)^{7}}{1- (-5)}=26,042.

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3 years ago
The box office manager said about 5,000 people attended the show. Write a number that could be the actual attendance if he corre
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Answer:

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Step-by-step explanation:


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What’s half of 2 1/2 as a fraction?
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Answer:

5/4

Step-by-step explanation:

2 1/2=5/2

(5/2)(1/2)=5/4

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