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Lynna [10]
2 years ago
5

Find f”(x)= (3x^+2)^5 5

Mathematics
1 answer:
Mice21 [21]2 years ago
8 0

Differentiate the function.

d

d

x

[

243

x

10

,

5

]

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One watering system needs about three times as long to complete a job as another warning system when both systems operate at the
algol13

Answer:

One watering system requires 36 minutes to complete the job alone while another watering system requires 12 minutes to complete the job alone.

Step-by-step explanation:

Given:

Both the system can complete the job = 9 minutes

We need find the time required by each system to do the job.

Solution:

Let the time required by another watering system to complete the job be 'x' mins.

Now given:

One watering system needs about three times as long to complete a job as another watering system.

Time required by one watering system = 3x

Rate to complete the job by another watering system = \frac{1}{x}\ job/min

Rate to complete the job by One watering system = \frac{1}{3x}\ job/min

Rate at which both can complete the job = \frac{1}{9}\ job/min

So we can say that;

Rate at which both can complete the job is equal to sum of Rate to complete the job by another watering system and Rate to complete the job by One watering system.

framing in equation form we get;

\frac{1}{x}+\frac{1}{3x}=\frac19

Now taking LCM to make the denominator common we get;

\frac{1\times3}{x\times 3}+\frac{1\times1}{3x\times1}=\frac19\\\\\frac{3}{3x}+\frac{1}{3x}=\frac19\\\\\frac{3+1}{3x}=\frac{1}{9}\\\\\frac{4}{3x}=\frac{1}{9}

By Cross multiplication we get;

4\times9 =3x\\\\3x =36

Dividing both side by 3 we get;

\frac{3x}{3}=\frac{36}{3}\\\\x=12\ min

Time required by One watering system = 3x =3\times 12 =36\ min

Hence One watering system requires 36 minutes to complete the job alone while another watering system requires 12 minutes to complete the job alone.

6 0
3 years ago
A cone-shaped kitchen funnel has a diameter of 6 inches and a height of 7 inches. About how many times would you need to fill th
Lerok [7]

Answer:

  D.  10

Step-by-step explanation:

The volume of the cylinder is given by the formula ...

  V = πr²h

  V = π(4 in)²(13 in) = 208π in³

The volume of a cone 3 inches in radius and 7 inches high is ...

  V = (1/3)πr²h = (1/3)(3 in)²(7 in) = 21π in³

Then the ratio of the volume of the cylinder to that of the cone is ...

  (208π in³)/(21π in³) ≈ 9.905

You would need to fill the funnel about 10 times to fill the can.

7 0
2 years ago
FREE BRANLIES IF ANSWER WITH EQUATIONS!! URGENT
4vir4ik [10]

Answer:

7) second answer

8) first answer

4 0
3 years ago
Read 2 more answers
Please help! I need to find the length of a rectangular prisim with the height as 1.5 inches and the width as 2.5 inches for a p
adelina 88 [10]
I guess try 2.0 inches for the length

4 0
3 years ago
Aaron’s room has a perimeter of 96 feet. The length of the room is 23 feet. How wide is Aaron’s room?
SIZIF [17.4K]

Answer:

The length is also 25 feet.

Step-by-step explanation:

23+23+25+25=96

5 0
2 years ago
Read 2 more answers
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