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Sever21 [200]
3 years ago
14

HELP❕❗

Mathematics
1 answer:
ella [17]3 years ago
4 0

Option B

\frac{a^2b^7c^2}{a^2c^2} = b^7

<em><u>Solution:</u></em>

Given that, we have to simplify the given expression

Given expression is:

\frac{a^2b^7c^2}{a^2c^2}

We can simplify the expression by cancelling the common terms in numerator and denominator

Take the common terms out in given expression

\frac{a^2b^7c^2}{a^2c^2} = \frac{a^2c^2(b^7)}{a^2c^2}

Cancel the common terms in numerator and denominator

\frac{a^2b^7c^2}{a^2c^2} = \frac{a^2c^2(b^7)}{a^2c^2} = b^7

<em><u>Thus the simplified form of given expression:</u></em>

\frac{a^2b^7c^2}{a^2c^2}=b^7

Thus option B is correct

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3 years ago
The angular velocity of a fan blade is 6.2 radians per second.
MA_775_DIABLO [31]

Answer:

94.7 revolutions

Step-by-step explanation:

In the question above, we are given the following values for the fan

Angular velocity = 6.2 radians per seconds

Time = 1.6 minutes.

Step 1

We would convert the time given to seconds

1 minute = 60 seconds

1.6 minutes = ?

We cross multiply

1.6 minutes × 60 seconds

= 96 seconds

Step 2

Number of revolutions made by the fan is calculated as :

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× time(seconds)

Number of revolutions = 6.2 radians per seconds × 96 seconds

=595.2 radians

Converting from radians to revolution

1 radian = 0.159155 revolutions

595.2 radians =

Cross multiply

= 595.2 radians × 0.159155 revolutions

= 94.729056 revolutions.

Approximately to the nearest tenth = 94.7 revolutions.

Therefore, the number of revolutions the fan blade makes in 1.6 minutes is 94.7 revolutions.

8 0
3 years ago
-9y=3x+81 find slope
natima [27]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

4 0
3 years ago
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I will go about solving this using the elimination method.

First, convert the equations.

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6x = -8

Third, you want to solve the equation.

6x = -8 (divide by 6)
x = -1 \frac{1}{3}

Fourth, solve for y by inserting the answer for x into one of the equations.

10(-1 \frac{1}{3}) + y = -20
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The solution for this system of equations is (-1 \frac{1}{3}, -6 \frac{2}{3}).
7 0
3 years ago
Read 2 more answers
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