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Rus_ich [418]
4 years ago
6

Let f (x )equals x squared and note that Modifying Below lim With x right arrow 2​f(x)equals 4. For epsilon equals 1​, use a gra

phing utility to find the maximum value of delta greater than 0 such that StartAbsoluteValue f (x )minus 4 EndAbsoluteValue less than epsilon whenever 0 less than StartAbsoluteValue x minus 2 EndAbsoluteValue less than delta.

Mathematics
1 answer:
Ad libitum [116K]4 years ago
5 0

Answer:

Step-by-step explanation:

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Alex is thinking of a number. He multiplies it by 1,000 then divided it by 10.
sergeinik [125]
Solutions 

1) <span>Lets use n as alex's number 
</span>⇒ n x 1000
⇒ n ÷ 10 
⇒ = 475 


To solve the problem do the opposite steps 

475 ÷ 1000 =  n
n = <span>0.475
</span>
0.475 x 10 = n 
n = 4.75

CHECK YOUR WORK 

4.75 x 1000 = 4750
4750 ÷ 10 = 475 

The answer is correct 

⇒ The answer Alex is thinking of is 4.75





6 0
3 years ago
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PS: WILL GIVE BRANLIEST
Luba_88 [7]

I'm pretty sure it a 3 to 8 and 32 to 12

6 0
3 years ago
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A classroom has a height of 8 feet and is 30 feet long. If the volume of the room is 6,000 ft 3, how wide is the classroom?
Nastasia [14]

Answer:

8 x 30 is 240 so divide 6000 by 240 and get 25, the room is is 25 feet wide

Step-by-step explanation:

4 0
3 years ago
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Water flows into a right cylindrical shaped swimming pool with a circular base at a rate of 4 m33/min. The radius of the base is
Sloan [31]

Answer:

The water level is rising at a rate of approximately 0.1415 meters per minute.

Step-by-step explanation:

Water is flowing into a right cylindrical-shaped swimming pool at a rate of 4 cubic meters per minute. The radius of the base is 3 meters.

And we want to determine the rate at which the water level of the pool is rising.

Recall that the volume of a cylinder is given by:

\displaystyle V = \pi r^ 2h

Since the radius is a constant 3 meters:

\displaystyle V = 9\pi h

Water is flowing at a rate of 4 cubic meters per minute. In other words, dV/dt = 4 m³ / min.

Take the derivative of both sides with respect to <em>t: </em>

<em />\displaystyle \frac{d}{dt}\left[ V\right] = \frac{d}{dt}\left[ 9\pi h\right]<em />

Implicitly differentiate:

\displaystyle \frac{dV}{dt} = 9\pi \frac{dh}{dt}

The rate at which the water level is rising is represented by dh/dt. Substitute and solve:

\displaystyle \left(4 \right) = 9\pi \frac{dh}{dt}

Therefore:

\displaystyle \frac{dh}{dt} = \frac{4}{9\pi} \approx 0.1415\text{ m/min}

In conclusion, the water level is rising at a rate of approximately 0.1415 meters per minute.

6 0
3 years ago
Use the formula below to find the 10th term in the geometric sequence. a x =(-2)(3) x-1
AnnZ [28]
The answer is x=-1/7
3 0
4 years ago
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