Please help 30 points
A recursive definition of an arithmetic sequence is shown below.
a = 7
an = an-1 + 3
Which of the following expressions represents the nth term of this sequence?
A. Ont3
B.
3n + 4
C.O3n +7
D.O7n +3

Answer:

A

Step-by-step explanation:

(2x2)3

= (4)3

=12

6x2 = 12

So the answer is A

Answer:

Step-by-step explanation:

Combine Like Terms:

=2+2+3x^10

=(3x^10)+(2+2)

=3x^10+4

Answer:

34

Step-by-step explanation:

2+2+30 Simplify

34 add the numbers

Hope that helps

If your question is which propperty is used in that opperation

Answer: The commutative property of multiplication

Step-by-step explanation: The comutative property of multiplication says that the order in which elements are multiplied the result is the same.

Answer:

2p^2-p + 5/2

Step-by-step explanation:

Here, we want to use long division method

Please check attachment for the long division process

According to the long division, the answer is

2p^2-p + 5/2

To check the answer, we multiply the binomial by the result of the division

That will be;

(2p-1)(2p^2-p + 5/2)

= 4p^3-2p^2+5p-2p^2+p-5/2

= 4p^3-2p^2-2p^2+5p+p-5/2

= 4p^3-4p^2+ 6p - 5/2

we then conclude that our answer is correct

Answer:

The equation of the Parabola

 (y - 6 )² = 8 (x -6)

Step-by-step explanation:

Step(i):-

Given directrix  x = 4

we know that    x = h - a = 4

               h -a =  4  ...(i)

Given Focus  = ( 8,6)

we know that the Focus of the Parabola

         ( h + a , k ) = ( 8,6)

   comparing  h + a = 8 ...(ii)

                  k = 6

solving (i) and (ii) and adding

   h - a + h+ a = 8 +4

           2 h = 12

              h =6

   Put h = 6 in equation (i)

  ⇒     h - a =4

  ⇒   6 - 4 = a

  ⇒      a = 2

Step(ii):-

The equation of the Parabola ( h,k) = (6 , 6)

( y - k )² = 4 a ( x - h )

(y - 6 )² = 4 (2) (x -6)

(y - 6 )² = 8 (x -6)

Answer:

$13.16

Step-by-step explanation:

Answer:

9.76 years turns 900 dollars into 1200 dollars.

Step-by-step explanation:

A(t) = 900*(1.03)^t

1200 = 900 * (1.03)^t       Divide by 900

1200/900 = (1.03)^t

1.333 = 1.03^t                   Take the log of both sides.

1.249 = 0.0128*t

1.249/0.0128 t = 9.76 years.

Answer:

I believe the answer is C. hope this helps

Answer:

C

Step-by-step explanation:

uh i DD this answer on a test so ya

Answer:

y=-4x+5

Step-by-step explanation:

8x+2y=10

2y=10-8x

divide by 2

y=5-4x

y=-4x+5

THe 3rd equation is true

Answer:

1/7

Step-by-step explanation:

Answer:

Area of the shaded region = 16(π - 2) in²

Perimeter of the shaded region = 4(π + [tex]2\sqrt{2}[/tex]) in

Step-by-step explanation:

Since, BDC is a quarter of the circle with radius = 8 in.

Area of the quarter of the circle = [tex]\frac{1}{4}(\pi)(r)^2[/tex]

                                                     = [tex]\frac{1}{4}(64)\pi[/tex]

                                                     = 16π in²

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

                        = [tex]\frac{1}{2}(8)(8)[/tex]

                        = 32 in²

Since, area of the shaded part = Area of quarter of the circle - Area of triangle BCD

= (16π - 32)

= 16(π - 2) in²

Therefore, area of the shade region = 16(π - 2) in²

Similarly, length of arc BD = [tex]\frac{1}{4}(2\pi r)[/tex]

                                            = [tex]\frac{8\pi }{2}[/tex]

                                            = 4π in.

Length of the diagonal of a square = (Side)√2

                                                          = 8√2 in

Perimeter of the shaded region = Length of arc BD + Length of diagonal BD

= 4π + 8√2

= 4(π + 2√2) in.

Answer:

2x-18

Step-by-step explanation:

2(x-9)

distribute the 2 in the ( )

2x-18

Hope this Helps!!!

Answer:

as per linear pair axiom it will be X + 84= 180

this answer is 106 degrees

Answer:

Step-by-step explanation:

Graph attached represents the relation between amount of oil left in the leaky oil tanker and time.

a). Gradient of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

                                      = [tex]\frac{(160-120)}{(0-8)}[/tex]

                                      = -5

    A-intercept = 160

b). Linear equation to represent the given relation in the graph will be,

  A = (-5)t + 160

c). At t = 15 minutes,

   A = (-5)(15) + 160

   A = -75 + 160

   A = 85 liters

d). This model is applicable till the container gets fully emptied.

   For A = 0,

   0 = -5t + 160

   t = [tex]\frac{160}{5}[/tex]

   t = 32 minutes

   Therefore, this model is reasonable up to t = 32 minutes.

Answer:

9.6km

Step-by-step explanation:

3200/(1/3)=

3200*3/1=9600 m=9.6km

Answer:

3.05

Step-by-step explanation:

Step-by-step explanation:

(9a4 + 2a2 + 5) – (16a4 – 7a2 + 1)

A. 25a4 – 5a2 – 4

B. –7a4 – 5a2 + 6

C. 25a8 + 9a4 + 6

D. –7a4 + 9a2 + 4

5.Multiply 9x2(2x2 + 8x).

A. 18x4 + 72x3

B. 18x2 + 72x3

C. 11x4 – 17x3

D. 90x4

Answer:

63

Step-by-step explanation:

hhehehehhehehehehh hope this helps

Answer:

C

Step-by-step explanation:

Trust me and vote brainliest

Answer:

9 inches

Step-by-step explanation:

Given that,

For the graph, 1/2 inch represents 20 miles.

We need to find the distance between the cities on the map if the actual distance between the two cities is 360 miles.

1/2 inch = 20 miles

1 mile = [tex]\dfrac{\dfrac{1}{2}}{20}=0.025\ \text{inches}[/tex]

For 360 miles, = 0.025 × 360

= 9 inches

Hence, the required answer is 9 inches.

Answer:

1407.43 would be your answer

Step-by-step explanation:

The formula is [tex]\pi r^2h[/tex], so plug 8 and 7 into the equation, and you'll get your answer. Hope this helps :)

Answer:

33=2(4)+3x

8 Three Points

The answer is A

Step-by-step explanation:

Answer:

Therefore the total amount that Jackson's Bakery made in one week from sheet cakes is: = $2,238

Step-by-step explanation:

Step One:

To arrive at the total amount made from the sheet cakes, we have to assign the prices of each type of cake. They are:

Step Two:

If the new pastry sold 17 small, 11 medium and 20 large sheet cakes respectively, the total money made comes to the following:

= (36 x 17) + (11 x 46) + (56 x 20)

= 612 +  506 + 1120

Therefore the total amount that Jackson's Bakery made in one week from sheet cakes is:

= $2,238

Cheers!

Answer:

Step-by-step explanation:

The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:

m = -1

(-5, 5)    ⇒   x₀ = -5,  y₀ = 5

The point-slope form of the equation:

y - 5 = -1(x + 5)

So:

y - 5 = -x - 5         {add 5 to both sides}

y = -x             ←  the slope-intercept form of the equation

Using the distance formula and the area of a rectangle, the area of the rectangle in square units is: B. 10√5

Area of rectangle = length × width.

Distance Formula is given as: [tex]d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex].

Thus:

Length of rectangle = distance between (0, 0) and (5, 5)

[tex]d = \sqrt{(5 - 0)^2 + (5 - 0)^2}\\\\d = \sqrt{50}[/tex]

Width of rectangle = distance between (5, 5) and (6, 2)

[tex]d = \sqrt{(2 - 5)^2 + (6 - 5)^2}\\\\d = \sqrt{10}[/tex]

Area of rectangle = √50 × √10

= √500

Area = 10√5

Therefore, using the distance formula and the area of a rectangle, the area of the rectangle in square units is: B. 10√5

Learn more about area of rectangle on:

https://brainly.com/question/25292087

Answer:

y= 0.2(0.05)^x

Answer:

x ≥ 42

Step-by-step explanation:

If you must be at least 42 inches tall to ride the bumper cars at an amusement park, this means that the minimum average height you can have is 42in i.e you can be more than 42inches tall.

The right inequality sign to represent this situations is a "greater than or equal to sign"(≥)

If x represent the heights of people who are allowed to ride the bumper cars, the required inequality expression will be x ≥ 42