A researcher has developed an algorithm for analyzing documents. To test the performance he runs the algorithm on documents with lengths of 10 pages, 20 pages, and 30 pages. The run times were 0.1 seconds, 0.2 seconds, and 0.4 seconds. Would the algorithm be reasonable for analyzing a 300 page document? Explain.

Answer:

lateral area is  329.7 and the surface area is 483.56

Step-by-step explanation:

Lateral area = [tex]\pi (7)(15) = 105\pi = 329.7\\[/tex]

Surface area = lateral area + base area

Base area= [tex]\pi r^{2}[/tex] = [tex]\pi (7)^{2}[/tex] = [tex]49\pi[/tex]

Surface area = 105[tex]\pi + 49\pi = 154\pi = 483.56[/tex]

Answer:

≈5089.3801 (5089.4)

Step-by-step explanation:

the formula is πr^2 x h

so, V=πr2h=π·92·20≈5089.3801

Answer:

Step-by-step explanation:

6089.9

9514 1404 393

Answer:

  x = 15√3

  y = 30

Step-by-step explanation:

In a 30°-60°-90° "special" triangle, the ratios of side lengths are ...

  1 : √3 : 2

Your diagram shows the short side is 15, so the other sides can be found by multiplying the above ratio numbers by 15.

  1 : √3 : 2 = 15 : x : y = 15 : 15√3 : 30

  x = 15√3

  y = 30

Answer:

Step-by-step explanation:

Correct choice is A

Answer:

[tex]\frac{x^{2} + 19x + 102}{4(x + 5)(x + 7)}[/tex]

Step-by-step explanation:

I have factored and multiplied lwh to get the volumes

Vol. = [tex]\frac{2x - 1}{(2x - 3)(x + 5)}[/tex] [tex]\frac{2(2x - 3)}{3x - 1}[/tex][tex]\frac{(3x - 1)(x + 3)}{(2x - 1)(x + 3)}[/tex] + [tex]\frac{x - 5}{3x + 2}[/tex][tex]\frac{3x + 2}{4}[/tex][tex]\frac{x - 2}{(x + 7)(x - 5)}[/tex]

      = [tex]\frac{4}{x + 5}[/tex] + [tex]\frac{x - 2}{4(x + 7)}[/tex]

      = [tex]\frac{4(4)(x + 7) + (x - 2)(x + 5)}{4(x + 5)(x + 7)}[/tex]

      =  [tex]\frac{16x + 112 + x^{2} + 3x -10}{4(x + 5)(x + 7)}[/tex]

      = [tex]\frac{x^{2} + 19x + 102}{4(x + 5)(x + 7)}[/tex]

If I have done everything correctly, then [tex]\frac{x^{2} + 19x + 102}{4(x + 5)(x + 7)}[/tex] is the total volume

This a real exercise in factoring and multiplying and adding fractions

Answer:

29 / 5 = 5.8

Step-by-step explanation:

To round a mixed number to the nearest whole number, simply look at the fraction part.

If the fraction is more than one half, round up.

If this fraction is less than one half, round down.

In the number 29 1/5, 1/5 is LESS than one half, so we round down.

In the number 4 6/7, is 6/7 is MORE than one half, so we round up.

29 1/5 rounded to the nearest whole number is 29.

4 6/7 rounded to the nearest whole number is 7.

And, 29/7 = 5.8

Therefore, the estimated quotient is 5.8.

Answer:

Step-by-step explanation:

If the graph looks like the one attached, then East Asia is the only region showing an increase in forest cover over time.

Answer:

east asia

Step-by-step explanation:

got it right

Answer:

She should add 10x to both sides

Step-by-step explanation:

Answer:

Step-by-step explanation:

x² - 10x - 2 = 0   {Add 2 to both sides}

            +2 = +2

x² - 10x     = 2

Now to find what to add both sides, divide the co-efficient of x by 2

10/2 = 5

Add 5² to both sides

x² - 10x + 25 = 5²

(x - 5)² = 5²

Take square root both sides,

x - 5 = ± 5

x- 5 = 5   ;   x - 5 = -5

  x = 5+5 ;      x = -5 + 5

  x = 10    ;      x = 0

Answer:

the answer is 3 and 9

Step-by-step explanation:

(x for 3 and y for 9)

3 + 9 = 12 and 3×9= 27

Answer:

0,70 s

Step-by-step explanation:

We have to solve the associated equation:

-16t^2 + 48t + 64 = 90

1) divide each member by 2

-8t^2 + 24t + 32 = 45

2) add at both member -45

-8t^2 + 24t + 32 -45 = 45-45

-8t^2 + 24t - 13 = 0

3). multiply the two members by -1

8t^2 - 24t + 13 = 0

4) find Δ/4 with the reduce formula

Δ/4 = 144 -104 = 40

5) find the approximate  solutions with the reduce formula

t1 = (12 + 6,42)/8 = 2,29 s

t2 = (12 - 6,42)/8  = 0,70 s

we have to take the smallest value because the biggest describe when the rocket will reach 90 feet when it is descending

Answer:

The square will have length 13 cm only and it's perimeter will be:

4l

4×13cm

52cm

I hope it helps you

Answer:

24/35

Step-by-step explanation:

Answer:

24/35

Step-by-step explanation:

turn 1 1/7 into a mixed number

1 1/7=8/7

multiply the numerator and the denominator of 8/7 and 3/5 to get 24/35

Answer:

By the Central Limit Theorem, it is approximately normal with mean 0.29 and standard deviation 0.0596

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

According to the U.S. Census Bureau, 29% of Americans age 25 years or older have already earned a bachelor's or more advanced degree.

This means that [tex]p = 0.29[/tex]

You decide to randomly select 58 adults over the age of 25 to ask if they have earned at least a bachelor's degree.

This means that [tex]n = 58[/tex]

Describe the sampling distribution of the proportion of respondents who have earned at least a bachelor's degree.

By the Central Limit Theorem, it is approximately normal with mean [tex]\mu = p = 0.29[/tex] and the standard deviation is [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.29*0.71}{58}} = 0.0596[/tex]

Answer:

Radical.

Step-by-step explanation:

To explain;

3√13 is a radical.

The 3 in this expression is known as the index.

The 13 in this expression is known as the radicand.

The √ is considered the radical sign.

The given expression is the radical sign.

The given expression is [tex]3\sqrt{3}[/tex].

The √ symbol is used to denote square root or nth roots. Radical Expression - A radical expression is an expression containing a square root. Radicand - A number or expression inside the radical symbol.

Therefore, the given expression is the radical sign.

To learn more about the radicals visit:

https://brainly.com/question/12737007.

#SPJ2

Answer:

Box A-10

Box B-15

Box C-20

i think

Answer:

Box A= x+5

Box B= x+5

Box C= x+5

Step-by-step explanation:

So i was literally over here trying to big brain this problem, literally stressing like "Oh my gosh why is this so difficult wth is going on rn?!" when all i had to do was find the equation(which has been sitting on my paper for the last 15 minutes) and plug it in.

-_-

Chile anyways so the equation to the problem is 3(x+5) =20. And all you have to do is split the (x+5) into three parts on the tape diagram and it would all equal 20.

Answer:

False

Step-by-step explanation:

Formula for circumference is C= πd, meaning pi multiplied by diameter. I will complete the question using both 3.14 for pi, and the pi key on the calculator, as I am not sure what the rules are for your mathematics class.

Formula C=πd, where diameter (given: 56) is 56 and pi is 3.14.

C=πd

  = 3.14 x 56

  =175.84

∴ The circumference of the wheel is about 175.8cm.

To find how much distance covered in 100 revolutions, we must multiply the distance covered in one revolution by 100.

175.84 x 100= 17584

The question does not ask to convert to meters or kilometers so I may leave it like this.

If you are told otherwise, follow the rules for converting.

∴ The distance covered in 100 revolutions is 17,584cm.

Formula C=πd where d equals 56 and pi is the full value of pi (3.1415926....)

C=πd

 = π x 56

 =175.929

As you can see, we get a more accurate answer, but again, it is all up to your class rules.

∴ About 175.93 cm circumference

Revolutions:

175.93 x 100 = 17593

∴ About 17, 593cm.

I hope this helps!

Answer:

[tex] { (x - 8)}^{2} + {(y + 3)}^{2} = 36[/tex]

Answer:

A soccer field is 100 Yards.

Step-by-step explanation:

120-100=100yds.

Answer:

#1

#2

#3

#4

#5

#6

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#9

Answer:

5.4

sarah = 27

Hilary = 32.4

Step-by-step explanation:

25(.08)+25=27

30(.08)+30= 32.4

32.4-27=5.4

Answer:

y = -1/3x + 6

Step-by-step explanation:

You have the formula y = mx + b

We can put in:

b=6

m=-2/6=-1/3

y=-1/3x+6

Answer:

false

Step-by-step explanation:

Answer:

use the reverse Pythagorean therm BC= 4 DE= 4.8

Step-by-step explanation:

The square root of 5(squared) - 3(squared) = 4

the square root of 8(squared) - 6.4(squared) = 4.8

Answer:

3/4

Step-by-step explanation:

Tan A = opp/adj

Tan A = 30/40

= 3/4

Answer: 158 as area and perimeter 62

Step-by-step explanation: