Pregunta
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The pattern uses
and
for the divisions.
-
-
-
-
- Result:
Solución
To complete the pattern, let’s analyze the given equations step by step.
-
The first equation is:We need to find the value of
that will allow us to establish a pattern. -
The second equation is:To find
, we can rearrange this equation: -
Let’s calculate
using the above equation: -
The third equation is:We will use the same
value we found earlier. -
The fourth equation is:Rearranging gives us:
Now, let’s calculate the values of
from both equations to see if they are consistent.
I’ll perform the calculations for both equations.
Calculate the value by following steps:
Calculate the value by following steps:
- step0: Calculate:
- step1: Convert the expressions:
- step2: Multiply by the reciprocal:
- step3: Reduce the numbers:
- step4: Simplify:
Calculate or simplify the expression.
Calculate the value by following steps: - step0: Calculate:
- step1: Convert the expressions:
- step2: Multiply by the reciprocal:
- step3: Reduce the numbers:
- step4: Multiply the numbers:
The calculations yield the following results for:
-
From the second equation:
-
From the fourth equation:
Now, we can summarize the pattern:
- The first equation
should use . - The second equation
uses . - The third equation
should use . - The fourth equation
uses .
Thus, the completed pattern is:
The values of
are
and
for the respective divisions.
Respondido por UpStudy AI y revisado por un tutor profesional
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Bonus Knowledge
To complete the pattern, we can observe how the numbers are structured and the relationship between each division operation.
- For
, the square must equal 1000. This is because dividing by 1000 gives . - For
, to follow the same pattern, we notice is times (which is when divided by 1,000). Therefore, would equal 100.
Continuing down the list, we follow the same pattern:
For
, we can reason that the square must be 1000 again (continuing the multiplication/division structure).
For , using
.
For
- For
- For
- For
- For
Thus the filled values of the squares:
-
for the first line -
for the second -
for the third -
for the fourth

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