Write a recursive formula for an, the nth term of the sequence 18, 26, 34, ....
a1=
αη=

Answer:

-8 = m-2+b

-2 = m-0+b

4 = m2+b

10 = m4+b

Step-by-step explanation:

You just put them in y = mx+b format

Answer:

12% increase

Step-by-step explanation:

Have a good day :)

Answer:

Step-by-step explanation:

surface area of cuboid=2h(l+w)

=2*2(12+5)

=4*17

=68 cm^2

Answer:

188 cm²

Step-by-step explanation:

TSA of cuboid = 2(lb + bh + hl)

= 2 {(12*2) + (2*5) + (5*12)}

= 2 (24 + 10 + 60)

= 2 (94)

= 188cm²

Answer:

$6

Step-by-step explanation:

Set up a system of equations where b is the cost of a book and m is the cost of a movie:

9b + 5m = 124

4b + 21m = 318

Solve by elimination by multiplying the top equation by -21 and the bottom equation by 5:

-189b - 105m = -2604

20b + 105m = 1590

Add the equations together, then solve for b:

-169b = -1014

b = 6

So, the cost of a book is $6

Answer: median is two, mean is two, mode is two, range is 13, the data appears to be symmetrical

Step-by-step explanation: hope this helps <3

Answer:

FV= PV*(1 + g)^n

Step-by-step explanation:

Giving the following information:

Present Value (PV)= 120

Growth rate (g)= 6.5% per year

To calculate the future value of the population in any given year "n", we need to use the following formula:

FV= PV*(1 + g)^n

For example, in 10 years:

FV= 120*(1.065^10)

FV= 225

Answer:

Do you want the derivative?!

Answer:

Step-by-step explanation:

multiplication:  (x-1)  *  (x+3)  *  (x-4)

(x-1) * (x+3)

x^2 + 2x - 3

(x^2 + 2x -3)(x-4)

x^3-2x^2-5x+ 12

finding the zeroes:

(x-1)         (x+3)    (x-4)

x-1:0      x+3:0     x-4:0

+1:1          -3:3     +4: 4

x: 1            x:3        x:4

Answer:

11.6

Step-by-step explanation:

Answer:

243

Step-by-step explanation:

Answer:

Volume is 144ft³

Step-by-step explanation:

Answer:

The zeros are between -4 and -3, and between 0 and 1

Step-by-step explanation:

Here, we want to location of the zeros

As we can know, at the zeros of a quadratic function, the y value at those point is zero

So whenever we have y value being zero, we have it that the x value at that point is a zero or root of the quadratic function

Now, looking at the table, we can see that between the point x = -4 and -3; y moved from -2 to 2

For this movement to occur, we must have passed through 0 as we have -1 ,0 and 1 between the numbers as -2 and 2

So obviously, the root is between -4 and -3

Secondly as we can see, f(x) moved from 2 to -2

The numbers between here are 1 , 0 and -1

So definitely the root lies between the x values of 0 and 1

Answer: ₹2646

Step-by-step explanation:

Given

The volume of the room is [tex]V=270\ m^3[/tex]

cost of painting the walls is ₹[tex]3600[/tex] at the rate of [tex]15\ m^2[/tex]

So, the area of walls is

[tex]\Rightarrow A=\dfrac{3600}{15}\\\\\Rightarrow A=240\ m^2[/tex]

This the area of 4 walls i.e.

[tex]\Rightarrow 240=2[hl+hb]\\\Rightarrow 120=h[l+b]\\\Rightarrow 120=4bh\quad [\text{length is thrice of width}]\\\Rightarrow 30=bh\qua \ldots(i)[/tex]

The volume of the room is given by

[tex]V=l\times b\times h\\270=3b\times b\times h\\90=hb^2\quad \ldots(ii)[/tex]

Divide (i) and (ii)

[tex]\Rightarrow \dfrac{90}{30}=\dfrac{b^2h}{bh}\\\\\Rightarrow b=3\ m[/tex]

So, the length of the room is

[tex]l=3b\\l=3\times 3\\l=9\ m[/tex]

The area of the floor is

[tex]\Rightarrow A_o=l\times b\\\Rightarrow A_o=9\times 3\\\Rightarrow A_o=27\ m^2[/tex]

The cost of flooring is

[tex]\Rightarrow 27\times 98\\\Rightarrow Rs.2646[/tex]

Answer:

$449.5

Step-by-step explanation:

Given data

Earning rate=  $15.50 per hour

Number of hours worked = 29 hours

Hence the amount earned is

=15.5*29

= $449.5

Hence the total amount she earned is $449.5

Answer:

AB XY

Step-by-step explanation:

They are congruent side angles

Answer:

20 min

Step-by-step explanation:

To go 1 mile it takes her 10 min (5 = 1/2 multiply both sides by 2) and to get to school it would take her 2 miles, so it would take 10 min.

Answer:

A, 1 inch equals 5 feet.

Step-by-step explanation:

To calculate the answer you have to divide

30 ÷ 6 = 5

So, 1 inch represents 5 feet.

Have a great day!

Answer:

the answer is A

Step-by-step explanation:

do 30÷6 and you get 5ft. so, 1 inch represents 5ft

Answer:

B

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

So permiter is two*lengths plus 2*width of a shape.

Area is the length times the width.

For examplel if a square has a length of 2, and a width of 3 the permiteter is:

2*2+3*3=

4+9

=

13

On the other hand, area  would be:

2*3

=

6

I hope this helps!

Answer:

The correct answer is 0 or A

Step-by-step explanation:

2/0+2 + 1/5 = 6/0+5

2/2 + 1/5 = 6/5

1 + 1/5 = 6/5

5/5 + 1/5 = 6/5

6/5 = 6/5

Answer:

Step-by-step explanation:

x^2-16y-4x-12=0

Transpose and separate x and y

16y = x^2-4x-12

16y = (x^2-4x+4) -16

16y = (x-2)^2 -16

y = (1/16)(x-2)^2 -1

This means that the vertex is at

(x-2)=0 or x=2

y = -1

=> vertex (2,-1)

Answer:

$2,100.00

Step-by-step explanation:

Answer:

600 dollars a year

Step-by-step explanation:

I=prt is the formula for simple interest.

2000×0.05×6 = 600

Step-by-step explanation:

they need to add up to -56

and multiply to 180

Answer:

C

Step-by-step explanation:

C i did the test

The correct rule for the graph shown will be;

⇒ y = 3x

What is Equation of line?

The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The graph is shown in figure.

Two points on the graph are (2, 6) nd (3, 9).

Now,

Solve for the correct rule of the graph as;

Since, The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

So, We find the slope of the line as;

Two points on the graph are (2, 6) and (3, 9).

Hence,

m = (9 - 6) / (3 - 2)

m = 3/1

m = 3

Thus, The equation of line in point-slope form passing through the points (2, 6) and (3, 9).with slope 3 is defined as;

⇒ y - y₁ = m (x - x₁)

⇒ y - 6 = 3 (x - 2)

⇒ y - 6 = 3x - 6

⇒ y = 3x

Thus, The correct rule for the graph shown will be;

⇒ y = 3x

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Answer:

Step-by-step explanation:

y = 1.5n + 1.5 is the equation to predict height on n day.

For 9, I am not sure but I think 1) I only is the right answer because each day you get 3.5cm tall. Whereas, for the other two, depreciation value decreases the value of car each year so the depreciation cost you see in year 1 wont be equal in year 2 cuz value of car has decreased. For bacteria, I do not know how to properly word it but I think this one also lacks equal difference due to exponential growth. Hope this is right.

Answer:

It's a cubic monomial now that it's written 3and a multiplication sign meaning three times which is also 3cubed so the answer is C

Answer:

Step-by-step explanation:

A triangular pyramid has a base with an area of 21.8 square meters, and lateral faces with bases of 7.1 meters and heights of 9 meters. Enter an expression that can be used to find the surface area of the triangular pyramid.

The expression is written as:

Surface Area = Area of the base + 1/2( Perimeter × Slant height)

Answer:

Measurements= 7.08/3.2

Area of rectangle= 7.08cm×3.2cm

= 22.656 cm(square)

Answer:

2

Step-by-step explanation:

[tex]\sqrt{2} *\sqrt{10}=\sqrt{20} \\\sqrt{20}/\sqrt{5}=\sqrt{4} =2[/tex]

The simplified expression √2 x √10 / √5 is 2.

To simplify the expression √2 x √10 / √5, we can combine the square roots and apply the properties of radicals.

First, let's simplify the numerator, which is √2 * √10.

√2 x √10 = √(2 x 10) = √20

Next, let's simplify the denominator, which is √5.

So, √20 / √5

To rationalize the denominator, we multiply both the numerator and denominator by √5:

= (√20 / √5) x (√5 / √5)

= √(20 x 5) / √(5 x 5)

= √100 / √25

= 10 / 5

= 2

Therefore, the simplified expression is 2.

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