A recursive rule for a geometric sequence is
a1 = 9; an = 2/3 (an−1)

What is the iterative rule for this sequence?

A.) an = 9 • (2/3)^n
B.) an = 2/3 • 9^n
C.) an = 9 • (2/3)^n-1

Using the surface area of a rectangular prism, it is found that she will need 366 square inches of wrapping paper to wrap the box.

He wraps the box with paper outside, hence, the amount needed is the surface area.

The surface area of a rectangular prism of length l, width w and height h is given by:

[tex]S = 2(lw + lh + wh)[/tex]

In this problem, the dimensions of 11 inches long, 8 inches wide, and 5 inches tall mean that [tex]l = 11, w = 8, h = 5[/tex]. Hence:

[tex]S = 2[11(8) + 11(5) + 8(5)] = 366[/tex]

She will need 366 square inches of wrapping paper to wrap the box.

You can learn more about the surface area of a rectangular prism at https://brainly.com/question/1310421

Answer:

224, 755

Step-by-step explanation:

you first have to find the differnce between 177 and 47 which equals to 133.

so you have to do 94+133

and 885-133

let

d1 = 250 mi the distance that Mattie Evans drove

v1 = the speed of Mattie Evans

d2 = 1300 mi the distance the plane traveled

v2 = the speed of the plane

The speed of the plane was 190 mph faster than the speed of the car:

v2 = v1 + 190

since time = distance/speed and they both traveled the same time we have

d1/v1 = d2/v2

250/v1 = 1300/v2 cross multiply

250v2 = 1300v1 divid eboth sides by 50

5v2 = 26v1

by solving the system of equations:

v2 = v1 + 190

5v2 = 26v1

we find

v1 = 45.24 mph

v2 = 235.24 mph

If any questions leave a comment

Answer:

[tex]\frac{973}{324} [/tex]

Step-by-step explanation:

[tex] ( - \frac{ 27}{64} - ( - \frac{125}{8} ))\times ( \frac{2}{3} )^{4} [/tex]

[tex] ( - \frac{ 27}{64} + \frac{125}{8} ) \times \frac{16}{81} [/tex]

[tex] \frac{973}{64} \times \frac{16}{81} [/tex]

[tex] \frac{973}{4} \times \frac{1}{81} [/tex]

[tex] \frac{973}{324} [/tex]

1 ream = 250 papers

1 booklet = 8 papers

Therefore, with 4 reams of paper, Jacob will be able to create 125 booklets.

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

With a dial action, although the dilated image may get smaller or larger the angles/ slope of lines would remain the same.

Slope = change I. Y over the change in X

Slope = (5-4) /(3-2) = 1/1 = 1

Slope = 1

Answer:

Equation in slope intercept form: y = -2x -1

Step-by-step explanation:

First you must convert this equation from standard form to slope intercept form (y=mx+b).

Subtract 6x on both sides to get 3y = -6x - 3. Then divide by 3 on both sides to get y = -2x - 1.

Now to graph:

First we will plot the y-intercept, which will be (0,-1). The point will be on the y-axis, since that's the point in which the line will cross.

Next we will go down 2 units and over to the right 1 unit, until we get to the next point.

(Picture is attached above for your convenience⤴⤴⤴)

Hope this helps you :)

General method:

Given numbers are 1.3 bar and 1.4 bar

Two rational numbers between them

= 1.3222... and 1.43333...

Mean Method:

Let X = 1.333... → → →eqn(i)

since the periodicity is 1 then multiply eqn(i) with 10

⇛10×X = 1.333...×10

⇛10X = 13.333... → → →eqn(ii)

Subtract eqn(ii)-eqn(i)

10X = 13.333...

X = 1.333...

(-)

____________

9X = 12.000...

____________

⇛9X = 12

⇛X = 12/9

⇛X = 4/3

and

Let X = 1.444... → → →eqn(i)

since the periodicity is 1 then multiply eqn(i) with 10

⇛10×X = 1.444...×10

⇛10X = 14.444...→ → →eqn(ii)

Subtract eqn(ii)-eqn(i)

10X = 14.444...

X = 1.444...

(-)

____________

9X = 13.000...

____________

⇛9X = 13

⇛X = 13/9

Now we have 12/9 and 13/9

The rational number between them by mean method (a+b)/2

⇛{(12/9)+(13/9)}/2

⇛(25/9)/2

⇛25/18

and Second rational number

⇛{(12/9)+(25/18)}/2

⇛{(24+25)/18}/2

⇛(49/18)/2

⇛49/36

Answer: The two rational numbers between them are 25/18 and 49/36.

also read similar questions: INSERT TWO RATIONAL NUMBERS BETWEEN 2 AND 3. How to find them?

https://brainly.com/question/85169?referrer

Therefore, the simplified form of (4m3)2 is 24m.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

Answer=C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Parallel lines hAve no solutions

Two lines intersection point gives one solution only

One single line denotes to infinite solutions

Option C is correct

Answer:

First one is yes second one is yes 3 one is yes 4 one is yes and first one is a repeating decimal

Step-by-step explanation:

Also sorry if it's wrong but I tried also hope u have a great day!

Answer:

9. b=120 8. b=43 11 b=84 12 b=23

Step-by-step explanation:

number 9 the angle is equals to 189 number 10 they're both the same and 11 is equal to 180, 12 the angle is equal to 90

Answer:

1

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

y(x + 1) = 51 ← substitute y = 3 into the equation

3(x + 1) = 51 ( divide both sides by 3 )

x + 1 = 17 ( subtract 1 from both sides )

x = 16

Given:

What to prove: x = 16

We have now proved that x = 16.

Hoped this helped.

[tex]BrainiacUSer1357[/tex]

Answer:

  x² -3/4x +1/4 = 0

Step-by-step explanation:

Consider the two equations in factored and expanded forms:

  (x -p²)(x -q²) = x² -(p²+q²)x +p²q² = 0   ⇒   p²+q² = 1, p²q² = 16

and

  (x -1/p)(x -1/q) = x² -(1/p+1/q)x +1/(pq) = 0

Consider the squares of the sum and product of roots:

  constant term: (1/(pq))² = 1/(p²q²) = 1/16   ⇒   1/(pq) = √(1/16) = 1/4

  x-term: (1/p +1/q)² = (p +q)²/(pq)² = (p² +q² +2pq)/(p²q²)

  = (p² +q²)/(p²q²) +2/(pq)

  = 1/16 +2/√16 = 9/16   ⇒   (1/p +1/q) = √(9/16) = 3/4

Then the equation with roots 1/p and 1/q is ...

  x² -3/4x +1/4 = 0

Answer:

NEED MORE

Step-by-step explanation:

Answer:

(x-16)(x+2)

Step-by-step explanation:

-32=-16*2

-16+2=-14

Answer:

Andrew 10 and his brother 20 years old

Step-by-step explanation:

three years ago

7 and 17  add up to 24

Hope this helps

Answer:

B. y = -4x

Step-by-step explanation:

input x in the possible answers

y = -4x

-4(2) = 8

-4(1) = -4

-4(-3) = 12

-4(-5) = 20

Answer:

4.19

Step-by-step explanation:

v=4/3(pie x r^3)

v=4/3(pie x 1^3) = 4.18879

v=4.19

Answer: 8.3 minutes

Step-by-step explanation:

The time t may be obtained using the speed distance equation s=d/t. Rearranged to solve for time it would be: t=s/v, where s is the distance between the Sun and Earth and v is the speed of light.

The cost to employ the contractors is $11250

The general cost to employ someone is between 1.25 and 1.40 of their real wage. This means the real wage is lower than the cost to employ that person.

Moreover, to determine the cost to employ the contractors, we need to determine their total wage:

Now, for all the machines to be repaired you will need to pay a total of $9000

Finally, let's find out the cost using the minimum rate.

$9000 x 1.25 = $11,250

Learn more about general cost in: https://brainly.com/question/3902215

Answer:

$8800

Step-by-step explanation:

Let x be the number of months contract A is employed and let y be the number of months contractor B is employed. Since we are trying to minimize cost, our objective function represents the total cost to employ contractor A and contract B. This function is defined by

C(x,y)=800x+1000y

The first constraint is that the company needs to have 12 IBM copying machines serviced and we know that contractor A can repair 2 IBM copying machines and contractor B can repair 1 IBM copying machines. This translates into the following inequality.

2x+y≥12

The second constraint is that the company needs 18 Xerox copying machines serviced and we know that contractor A can repair 1 Xerox copy machines while contractor B can repair 3 Xerox copy machines. This translates into the following inequality.

x+3y≥18

The third constraint is that the company needs 20 Canon copying machines serviced and we know that contractor A and contractor B can repair 2 Canon copy machines each. This translates into the following inequality.

2x+2y≥20

The fact that x and y must be positive numbers is represented by the following two constraints:

x≥0,y≥0

Using all of this information, our problem is as follows.

Minimize: C(x,y)=800x+1000y

Subject to: 2x+y≥12

x+3y≥18

2x+2y≥20

x≥0

y≥0

The corner points are:

(0,12),(18,0),(2,8),(6,4)

The point (6,4) gives lowest cost: $8800

Answer:

a]y= 0.11x + 3.44

b]y= 0.11x + 3.44

explanation:

y=mx+b form

Answer:

4 : 3 : 3

Step-by-step explanation:

2/5 of 150 = 300/5 or 60;  therefore, there are 60 blue marbles

3/10 of 150 = 450/10 or 45;  therefore, there are 45 clear marbles

150 - (60 + 45) = number of green marbles;  there are 45 green marbles

Blue : Clear : Green ratio is 60 : 45 : 45 or 4 : 3 : 3

The average speed of blood in the aorta is 0.2833 m/s

Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance  / time

From the question, to calculate the average speed:

Average speed = Volume rate / cross sectional area

Average speed = 8.5 * 10⁻⁵ / (3 * 10⁻⁴) = 0.2833 m/s

The average speed of blood in the aorta is 0.2833 m/s

Find out more on average speed at: https://brainly.com/question/680492

Step-by-step explanation:

x is the number

so, the equation is

x - 8 = 31

x = 39

Answer:

n is the number

Step-by-step explanation:

n-8=31

n = 39

hoped that helped:P