How many square feet of outdoor carpet will we need for this hole?

Using the recursion equation, it is found that the value of the 2nd iterate is:

[tex]x_2 = 3.16228[/tex]

The value of the nth iteration is given by:

[tex]x_n = \frac{x_{n-1} + \frac{10}{x_{n-1}}}{2}[/tex]

The initial estimate is:

[tex]x_0 = 3.1[/tex]

Hence, the 1st iterate is given by:

[tex]x_1 = \frac{x_0 + \frac{10}{x_0}}{2} = \frac{3.1 + \frac{10}{3.1}}{2} = 3.1629[/tex]

The 2nd iterate is:

[tex]x_2 = \frac{x_1 + \frac{10}{x_1}}{2} = \frac{3.1629 + \frac{10}{3.1629}}{2} = 3.16228[/tex]

Thus, the fourth option is correct.

You can learn more about recursive equations at https://brainly.com/question/6561461

Answer:

[tex]\displaystyle \frac{1}{4}[/tex].

Step-by-step explanation:

The voltage across the three bulbs would add up to [tex]12\; {\rm V}[/tex] since the three bulbs are connected in serial.

The voltage across the third bulb would thus be: [tex]12\; {\rm V} - 6\; {\rm V} - 3\; {\rm V} = 3\; {\rm V}[/tex].

Also because the three bulbs are connected in serial, the current going through each of them be the same as the size of the current of the whole circuit. Let [tex]I\; {\rm A}[/tex] be the size of that current.

Thus, the portion of the power consumed by the third bulb would be [tex](3\, I) / (12\, I) = 1/4[/tex].

Answer: $440

Step-by-step explanation:

Given selling price = $ 372

Loss % = 7%

We know, cost price = selling price × 100/100 - loss%

Therefore, cost price = 372 × 100/100 - 7

= 372 × 100/93

= $400

Now cost price = $400

Gain% = 10%

Therefore, selling price = (100 + gain%)cost price/100

= (100 + 10)400/100

= 110 × 4

= $440

First we identify the percent's as decimals

1%=0.01                    64%=0.64

Then we multiply our decimals by 300

0.01 x 300 = 3          0.64 x 300 = 192

If you notice, 64 x 3 is equal to 192

64 x 3 = 192

So the answers are 3 and 192

(Hope this helps!)

Answer: the first 6000 digits of pi are 3.1415926535 8979323846 2643383279

Step-by-step explanation:

Answer:

B. The title, every chart first starts with the title, then data recording.

Step-by-step explanation:

Answer:

3(x-3)+5(3x+4)

=18x+11

Answer:

18x+11

Step-by-step explanation:

All you have to do is add,subtract, and multiply

The error that Dan made was that D. A one-sample test for a proportion should have been performed because only one sample was used.

Dan should however have only used a one-sample test because the he only used one sample. By using a test that catered for two proportions, he misanalysed the data.

In conclusion, option D is correct.

Find out more on sample tests at https://brainly.com/question/15683511.

Answer:

No

Step-by-step explanation:

Cross multiplying shows this is false.

The lengths that make the sense for the value of b are 0.5 inches and 2 inches.

An isosceles triangle has two sides of equal length, a, and a base, b.

The perimeter of the triangle is 15.7 inches, so the equation to solve is 2a + b = 15.7.

If two sides of a triangle are unequal, the longer side has a greater angle opposite to it.

[tex]\rm a+a > b\\\\2a > b[/tex]

The equation of the perimeter of the triangle;

[tex]\rm 2a+b = 15.7\\\\2a = 15.7-b\\\\a = \dfrac{15.7-b}{2}[/tex]

1. Substitute b = 0.5 in the equation;

[tex]\rm a = \dfrac{15.7-b}{2}\\\\ a = \dfrac{15.7-0.5}{2} \\\\ a = \dfrac{15.2}{2}\\\\a = 7.6[/tex]

Then,

Verify the triangle inequality theorem;

0.5 + 7.6 > 7.6 is true

7.6 + 7.6 > 0.5 is true

2. Substitute b = 2 in the equation;

[tex]\rm a = \dfrac{15.7-b}{2}\\\\ a = \dfrac{15.7-02}{2} \\\\ a = \dfrac{13.7}{2}\\\\a = 6.85[/tex]

Then,

Verify the triangle inequality theorem;

0.5 + 76.85 > 6.85 is true

6.85 + 6.85 > 2 is true

Hence, the lengths that make the sense for the value of b are 0.5 inches and 2 inches.

To know more about the Triangle inequality theorem click the link given below.

https://brainly.com/question/1026055

Answer:

perimeter = 3 inches

Step-by-step explanation:

A square has 4 congruent sides , then

perimeter = 4 × [tex]\frac{3}{4}[/tex] ( cancel the 4's )

                = 3 inches

Answer:

C . Sample : 6 boy and 7 girls

Step-by-step explanation:

Data :

  Boys = 150

  Girls = 175

So ratio between boys and girls

     175/150  = 1.67

So when boy is 6

   6 ×1.667 = 7

Answer:

$1250

Step-by-step explanation:

subtract $22399 from $23649 which is $1250

Given ratio :-

3 : 2

Let's write it in fraction:-

[tex] \boxed{ \tt \dfrac{3}{2} }[/tex]

Half ratio given :-

6 : ?

Now as u can see if 3 is multiplied by 2 then we get 6

so multiply numerator and denominator by 2

[tex] \to\sf \dfrac{3 \times 2}{2 \times 2} [/tex]

[tex] \to\sf \dfrac{6}{4} [/tex]

Required Answer:

6 : 4

By using the known relations for similar triangles, we will see that the height of the basketball hoop is H = 113 ft.

In this situation, you and your shadow make a similar triangle to the one that makes the basketball hoop and its shadow.

This would mean that the quotients between the sides must be the same, so:

The quotient between your height and your shadow's length must be the same as the quotient between the hoop's height and its shadow's length.

You are at 41 in from the pole, and your shadow coincides with the shadow of the pole, so the length of the pole's shadow is:

41in + 62in = 103 in

And we define H as the height of the basketball hoop.

So we have that:

H/103in = 68in/62in

H = (68in/62in)*103in = 112.97 in

Rounding to the nearest foot, the height is 113ft.

If you want to learn more about triangles, you can read:

https://brainly.com/question/14285697

Answer: The actual answer is 120 inches have a nice day (:

Step-by-step explanation:

Answer:

2 shirts - 16$ each

i.e. 32$

1 crocs pair - 34$

A hat - 13$

so the total she spent was,

16+16+34+13 = 79$

Now, if she is using 15% off in the total amount that will cost her => $11.85 !

since she is paying 5% sales tax so the final she paid is:

$12.44/

Answer:

235 can be split into 200+30+5. Each of these can be divided by 5: 200/5+30/5+5/5=40+6+1=47 to give us the quotient.

Another way is to double 235=2*200+2*30+2*5=400+60+10=470 and divide the result by 10 by simply removing the zero to give the quotient 47. This works because dividing by 5 is the same as doubling and dividing by 10: 2/10=1/5.

Answer:

-4x - 6

Step-by-step explanation:

2(x + 2) = 2x + 4

3(-x - 2) = - 3x- 6

-(2x + 4) = -2x - 4

Add these binomials together

2x - 3x - 2x = -3x

4 - 6 - 4 = - 6

Result

-3x - 6

Now to this result we must subtract an x

-3x - x - 6 = - 4x - 6

Answer:

[tex]\boxed{\tt -4x-6}[/tex]

Step-by-step explanation:

[tex]\tt 2(x +2) - x +3 (-x -2) -(2x +4)[/tex]

First, apply the (Distributive property):-

[tex]\boxed{\tt -\left(a+b\right)=-a-b}[/tex]

[tex]\tt 2\left(x+2\right)-x+3\left(-x-2\right)-2x-4[/tex]

Expand, (Apply Distributive property):-

[tex]\tt 2\left(x+2\right)= \underline{\tt 2x+4}[/tex]

[tex]\tt 3\left(-x-2\right)=\underline{\tt -3x-6}[/tex]

[tex]\tt 2x+4-3x-6-3x-4[/tex]

Combine like terms:-

[tex]\tt (2x-3x-3x)+(4-6-4)[/tex]

[tex]\tt (2x-3x-3x)=\underline{\bold{ -4x}}[/tex]

[tex]\tt (4-6-4)=\underline{\bold{ -6}}[/tex]

[tex]\tt -4x-6[/tex]

____________________

Answer:

The slope is (1/5)

Step-by-step explanation:

See attached

Answer:

the answer is 56

Step-by-step explanation:

because i siad so

Answer:

headboard ud. He. I’d Vic if joe

Step-by-step explanation:

Answer:

academics are more important than sport sports.

Step-by-step explanation:

studies are always more important than sports, because studies have more  job opportunities than sports. If you are good at your school subjects than there will be many possibilities to get into a good collage and  a good or decent paying job, but with sports on the other hand its much harder to get a scholarship and your preformance has to be perfect to almost perfect  and quite frankly the average sports scholarships is less than $11,000 which if you look at it isnt that much. And you are more prone to getting injuries.

Answer:

Step-by-step explanation:

For the food booths, we can create an equation based on the y = mx + b equation. Since they are charging 8 dollars per day and they last for d days, then the slope is 8 or the rate is 8d. Since they also charge us 175 dollars which is a one time fee, it is the y-intercept. So the equation is

y = 8d + 175.

Since there are 18 food booths, then we can multiply the equation by 18.

y = 18(8d + 175)

y = 144d + 3150

For the game booth, we do the same thing. Since they charge us 7 dollars per day and the fair lasts for d days, then the rate is 7d. Since they also charge us 50 dollars as a one time fee, then it is the y-intercept. The equation for the game booth is:

y = 7d + 50

Since there are 23 game booths, multiply the equation by 23.

y = 23(7d + 50)

y = 161d + 1150

Now add them up to know how much they are being paid.

y = 305d + 4300

Hope this helps.

2 + 6x ≤ 32

6x ≤ 30

x ≤ 5

C and F are your answers

Answer:

Katherine is 6, Katherine's mother is 38

Step-by-step explanation:

Katherine: x

Mother: x²+2

equation: x²+x+2=44

x²+x-42

sum: 1

product: -42

numbers: 7, -6

(x+7)(x-6)

x+7=0 so x=-7 but an age cannot be negative

x-6=0 so x=6 this is an appropriate answer

substitue values back in

Katherine : 6

mother: 6²+2 (36+2)=38

Answer:

1st option is correct.

kathryn is 6 and her mother is 38

Step-by-step explanation:

Let her mother's age be y,

y = 2+x²

x+y = 44

y = 44-x

Now,

y = 2+x²

or, 44-x = 2+x²

or, 44-2 = x²+x

or, x²+x = 42

or, x²+x-42 = 0

or, x²+(7-6)x-42 = 0

or, x²+7x-6x-42 = 0

or, x(x+7)-6(x+7) = 0

or, (x+7)(x-6) = 0

Now,

x + 7 = 0

either, x = -7

or,

x-6 = 0

so, x = 6

We know age is never negative so x is 6.

Now,

x+y = 44

or, 6+y = 44

so, y = 38

Answer:

Solution:

Total words are 170 + 75+60+55=360.

Each week, Sofia is test with 15 words from the list.

Total number of weeks it will take to finish the test is 24.

Average number of weeks in a year is 25 approximately.

Seven weeks are already over, that means 15×7=105 words are covered from the list. Conclusion:

Remaining words are 360—105=255.

These words can be covered in a group of 15 in a week, so 25515=17 are the number of weeks.

Therefore, the number of words that Sofia will be tested on before the end of the year is 255.

Step-by-step explanation:

Answer:

170+75+60+55=360

15x7=105

360-105= 255

Alexa has 255 more words until the end of the year.

Step-by-step explanation:

Hope this helps!!!

-Liyah

Answer:

x less than or equal to 86

Step-by-step explanation:

this is because x represents the number of people since the bus cant hold anymore than 86 you can only have 86 or less people on the bus