Express the partial sums ( sn) of the following geometric series recursively (Remember all three parts): 3 + 6 + 12 + 24 + ...

I'll do the first one to get you started

So we have g(f(x)) which means that we start with g(x) and replace the 'x' with 'f(x)' to get g(f(x))

g(x) = ( x - 4 )/2

g(f(x)) = ( f(x) - 4)/2 .... replace every x with f(x)

g(f(x)) = (2x+4-4)/2 .... replace f(x) on the right side with 2x+4

g(f(x)) = (2x+0)/2

g(f(x)) = (2x)/2

g(f(x)) = 1x/1

g(f(x)) = 1x

g(f(x)) = x

Let me know if you need help with the other one.

240,000/100=2,400.

-TheOneandOnly003

Have a blessed day.

Answer:

x=11.1mi

Step-by-step explanation:

29.6mi          x    

120 min       45 min

cross multiply and divide

120x = 45*29.6

x = 45*29.6/120

x = 11.1 mi

There is your answer!

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Answer:

x² - 10x + 34

Step-by-step explanation:

given the roots are x = 5 ± 3i then the factors are

(x - (5 + 3i))(x - (5 - 3i))

= (x - 5)² - 9i² ← expand (x - 5)²

= x² - 10 x + 25 + 9 → [ i² = - 1 ]

= x² - 10x + 34

the missing term is 10x

Step-by-step explanation:

[tex]\frac{2}{3} + \frac{2}{9} \\\\\frac{6+2}{9}\\\\\frac{8}{9}[/tex]

Answer:

[tex]F(x)=2\left(x+\dfrac{13}{4}\right)^2-\dfrac{9}{8}.[/tex]

Step-by-step explanation:

Consider the function [tex]F(x)=2x^2+13x+20.[/tex]

Rewrite it as follows:

[tex]F(x)=(2x^2+13x)+20=2\left(x^2+\dfrac{13}{2}x\right)+20=2\left(x^2+\dfrac{13}{2}x+\left(\dfrac{13}{4}\right)^2-\left(\dfrac{13}{4}\right)^2\right)+20=2\left(x^2+\dfrac{13}{2}x+\dfrac{169}{16}\right)-2\cdot \dfrac{169}{16}+20.[/tex]

Since

[tex]x^2+\dfrac{13}{2}x+\dfrac{169}{16}=\left(x+\dfrac{13}{4}\right)^2,[/tex]

you get

[tex]F(x)=2\left(x+\dfrac{13}{4}\right)^2+20-\dfrac{169}{8}=2\left(x+\dfrac{13}{4}\right)^2-\dfrac{9}{8}.[/tex]

Answer:

the correct answer is: f(x)=2(x+13/4)²+-9/8. i hope it help

Answer:

Option A is correct.

1,017.36 square feet does the base of the building measure.

Step-by-step explanation:

Given: Diameter of the base (d) = 36 feet , Height of the building (h) = 57.2 feet and slant height of the building(l) = 60 feet.

We have to find the area of the base of the building.

Since, the building is in the form cone.

Area of the base(A) of the cone is given by:

[tex]A= \pi r^2[/tex] ......[1]; where r is the radius of the cone

Diameter(d) = 2r

36 = 2r

Divide both sides by 2 we get;

r = 18 feet.

Substitute the value of r = 18 feet and [tex]\pi = 3.14[/tex] in [1] we get;

Area of the base of the building = [tex]3.14 \times (18)^2 = 3.14 \times 324 = 1017.36[/tex] square feet.

Therefore, 1,017.36 square feet does the base of the building measure.

Answer:

A

Step-by-step explanation:

Answer:

(3, -9)

Step-by-step explanation:

To reflect an image across the line y = x, (x, y) → (y, x).

(-9, 3) → (3, -9)

Answer:

The required equation is (1) and the number of boys is 211.

Step-by-step explanation:

Let the number of boys be x.

It is given that there are 100 more girls than boys. It means the number of girls is x+100.

The total number of students is 522.

Number of boys + Number of girls = 522

[tex]x+(x+100)=522[/tex]          ... (1)

Combine like terms.

[tex]2x+100=522[/tex]

Subtract 100 from both the sides.

[tex]2x+100-100=522-100[/tex]

[tex]2x=422[/tex]

Divide both sides by 2.

[tex]x=211[/tex]

Therefore the required equation is (1) and the number of boys is 211.

Answer:

[tex]2x+100=522[/tex]

Step-by-step explanation:

Let the no. of boys be x

We are given that there are 100 more girls than boys.

So, No. of girls = x+100

Total number students = [tex]x+x+100[/tex]

                                      = [tex]2x+100[/tex]

We are given that The freshman class at Central High totals 522 students

So, equation becomes : [tex]2x+100=522[/tex]

Hence an equation can be used to find the number of boys is  [tex]2x+100=522[/tex]

This is what i did to get the answer.

225/ 4.5 = 50 seconds to finish the slushy.

Answer:

m=0

Step-by-step explanation:

Zero power rule: a^0 = 1,   Anything raised to the zero power is 1  (a≠ 0).

So if m=0, as long as x does not equal zero   (x^8/yz^5)^m will equal one.

Answer:

[tex]1008\text{ m}^2[/tex]

Step by step explanation:

Please find the attachment.    

We have been given that the length of a diagonal of a quadrilateral shaped field Is 48 m. The length of perpendicular dropped on it from the remaining apposite vertices are 16 m and 26 m.

We can see from our attachment that diagonal AC divides our quadrilateral field into two triangular fields and AC will be the base of both triangles.

To find the area of our given quadrilateral we will find the areas of both triangles and add the areas.

Let us find area of triangle ABC with base 48 m and height 26 m.

[tex]\text{Area of triangle}=\frac{1}{2}(\text{ Base}\times\text{ Height})[/tex]

[tex]\text{Area of triangle ABC}=\frac{1}{2}\times 48\times 26[/tex]  

[tex]\text{Area of triangle ABC}=24\times 26[/tex]  

[tex]\text{Area of triangle ABC}=624[/tex]

Therefore, the area of triangle ABC will be 624 square meters.

Now let us find area of triangle ADC with base 48 m and height 16 m.

[tex]\text{Area of triangle ADC}=\frac{1}{2}\times 48\times 16[/tex]  

[tex]\text{Area of triangle ADC}=24\times 16[/tex]  

[tex]\text{Area of triangle ADC}=384[/tex]    

Therefore, the area of triangle ADC will be 384 square meters.

Now let us add areas of triangles ABC and ADC to get the area of our quadrilateral ABCD.

[tex]\text{Area of quadrilateral ABCD}=384+624[/tex]  

[tex]\text{Area of quadrilateral ABCD}=1008[/tex]  

Therefore, the area of quadrilateral shaped field will be 1008 square meters.

Answer:

$.33 cents per roll

Step-by-step explanation:

a dozen rolls are 12 rolls

To find the unit prices, take the price and divide by the number of rolls.

$3.99/12

$.3325

But this is money so we round to the nearest cent

$.33 cents per roll

Answer:

Step-by-step explanation:

answer:heidi goes 0.12 miles a minute .

steps

average distance=time/miles

45/5.4

0.12

mark me as brainlest

Answer:

0.12 mile/minute

Step-by-step explanation:

Here you're being asked to find a unit rate.

Compute:

5.4 miles

--------------- = 0.12 mile/minute

45 min

This is the average distance covered in one minute.

Answer:

Step-by-step explanation:

(a) Carl earns $42 per 3 hours as given. To find the amount he earns per hourdivide:

$42/3 hours = $14/hour

(b) To see how much Louis makes per hour, simply plug in 1 for the hours value x:

y = $11(1 hours)

y = $11/hour

Thus Carl makes more than Louis.

(c) The equation of Carl's dollars per hour is similar to Louis' = 14x 

where x is the number of hours he works and y is the number of dollars he earns. Plug in whole number values of hours for x and plot the points (x, y) on a graph

Is him in your bias?

Carl earns $14 per hour, which is more than Louis' hourly wage of $11. A graph that represents Carl's earnings should have time in hours on the x-axis and money earned on the y-axis.

The question relates to comparing Hourly Earnings of Louis and Carl, and analyzing earnings overtime through graphs.

(a) To determine Carl's hourly earnings, we divide the amount of money earned by the hours worked.

For example, when he works 3 hours, he earns $42.

Therefore, the hourly rate is $42/3 = $14 per hour.

(b) By comparing Carl's hourly earning which is $14/hour to Louis' earning which is $11/hour according to the equation y = 11x, it is clear that Carl earns more per hour.

(c) To plot the graph for Carl's earnings, you need to put the time in hours on the x-axis and the money earned on the y-axis.

Each point on the graph represents the amount Carl earns after a certain number of hours.

For example the point (3,42) represents that Carl earns $42 after 3 hours of work.

Learn more about Hourly Earnings here:

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Answer:

(1/4) / (2/3) = x / 1...1/4 book to 2/3 week = x books to 1 week

cross multiply because this is a proportion

2/3x = 1/4

x = 1/4 * 3/2

x = 3/8 per week

Answer

14 / 13 hope this helps

Step-by-step explanation:

Answer:

1) 16 adults

2) 2 adults at each table

3) 7

Step-by-step explanation:

Answer:

Can I have the options? I cant check all that apply if i don't have options.

Step-by-step explanation:

Answer: The correct answer is respiration.

Respiration can be defined as the biochemical process, by which cells obtain energy as ATP from oxygen and glucose, with release of carbon dioxide, water. This process is not at all involved in the synthesis of protein, as it produces energy for the cells of the body.

Answer:

Decagon

Step-by-step explanation:

We can use the general equation to determine the sum of interior angles:

[tex]I.A. = 180 \times (n-2)[/tex]

Since we know the sum of interior angles (I.A.) is 1440°, we must figure out n - the number of sides and so:

[tex]1440=180(n-2)\\\\\frac{1440}{180}=n-2\\\\8=n-2\\\\n=10[/tex]

Since n=10 this means that it is a 10 sided shape meaning it's a decagon.

Answer:

decagon

Step-by-step explanation:

1440=180(n-2)

8=n-n

n=10  

this means that your answer is going to is decagon.

Answer:

Step-by-step explanation:

The answer to this question is 3

Hope this helps

To balance the chemical equation N2 + __H2 -> 2NH3, we need to have the same number of each type of atom on both sides. We have 2 Nitrogen atoms on each side of the equation, but the Hydrogen atoms are unbalanced. By placing a coefficient of 3 before H2, we get a balanced chemical equation; N2 + 3H2 -> 2NH3. Hence, the correct answer is option B, 3.

In order to balance a chemical equation, the same number of each type of atom must be present on both sides of the equation. In the initial chemical equation given, N2 + __H2 -> 2NH3, we have 2 Nitrogen atoms on both sides which is balanced. However, for Hydrogen we have 2 Hydrogen atoms on the left side (from H2) but 6 on the right side (as each NH3 molecule has 3 Hydrogen atoms). Therefore, we need to balance the Hydrogen atoms.

Putting a coefficient of 3 before H2 on the left side of the equation, we will have 3 * 2 = 6 Hydrogen atoms. This balances the Hydrogen atoms on both sides of the equation. Hence, the balanced chemical equation becomes N2 + 3H2 -> 2NH3. Therefore, the correct answer is B. 3.

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