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Gnoma [55]
3 years ago
9

Calculus - need work shown

Mathematics
2 answers:
slamgirl [31]3 years ago
6 0

Easy evaluation!

5( ln( |4x - 15| )  + c

Step-by-step explanation:

Feel free to ask if you're left with any doubts.

ICE Princess25 [194]3 years ago
4 0

Answer:

\large \text{$ 5 \ln|4x-15|+C $}

Step-by-step explanation:

\large \displaystyle\begin{aligned}\textsf{let }\:u & =4x-15\\\implies \dfrac{du}{dx} & =4\\\implies dx & =\dfrac{1}{4}\: du\\\end{aligned}

\large\displaystyle\begin{aligned}\int \dfrac{20}{4x-5}\:dx &=\int \dfrac{20}{u}\cdot \dfrac{1}{4}\:du\\\\&=\int \dfrac{20}{4u}\:du\\\\&=\int \dfrac{5}{u}\:du\\\\&=5 \ln |u| +C\\\\&=5 \ln |4x-15| + C\end{aligned}

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A football team carried out a report to see the impact of stretching on preventing injury. Of the
Nesterboy [21]

Answer:

\frac{5}{7}=0.7143

Step-by-step explanation:

First, we need to know the number of player that don't stretch and the number of player that don't stretch and get injured.

So, the number of player that don't stretch are calculated as:

28 - 21 = 7

Because there are 28 footballers and 21 stretch regularly.

Additionally, the number of player that don't stretch and get injured are equal to:

8 - 3 = 5

Because there are 8 injured players and 3 of them stretch.

Finally, the fraction of players who don't stretch  that get injured are:

\frac{5}{7}=0.7143

Because there are 7 players that don't stretch and 5 of them get injured last year.

8 0
3 years ago
What is the length to XY? Enter only the number as an integer or decimal.
patriot [66]

Answer:

11.25

Step-by-step explanation:

it is a dialation of 2.25:

12 x 2.25 = 27

and

8 x 2.25 = 18

so...

5 x 2.25 =

11.25

6 0
3 years ago
What is the implied service rate per service counter employee at an airport automobile rental counter if customer demand is 36 c
mart [117]

Answer:

24 customers per hour

Step-by-step explanation:

The service rate is given by the demand of customers per hour per employee divided by the labor utilization.

If there are two service counter employees on duty, the demand of customers per hour per employee is:

D=\frac{36}{2}=18\ customers/hour

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8 0
3 years ago
Measure of angle A : 3x
agasfer [191]

Answer: 11 degrees

Step-by-step explanation:

5 0
3 years ago
PLEASE HELP ASAP!!! BRAINLEST!!
djyliett [7]

Answer:

They are not congruent because they are not facing the same way.

Step-by-step explanation:

SAS stands for "side, angle, side" and means that we have two triangles where we know two sides and the included angle are equal. If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

That is which postulate proves congruency.

Please make this Brainliest.

3 0
3 years ago
Read 2 more answers
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