Please answer this correctly without making mistakes

Answer:

Recursive formula is: [tex]a_1=-1 ; \ \ a_n=a_{n-1}+7[/tex]

Explicit formula is: [tex]a_n=7n-8[/tex]

Step-by-step explanation:

We need to find recursive formula and explicit formula for arithmetic sequence -1,6,13,20,27

In the given sequence First term a₁= -1

Common difference d = 7

Finding Recursive Formula

The recursive formula is of type:[tex]a_1= First \ term[/tex] and [tex]a_n=a_{n-1}+d[/tex]

Since the First term a₁ is -1 and common difference d is 7 so, the recursive formula  for given arithmetic sequence will be:

[tex]a_1=-1 ; \ \ a_n=a_{n-1}+7[/tex]

Finding Explicit Formula

The explicit formula is of type: [tex]a_n=a_1+(n-1)d[/tex]

We have

First term a₁= -1

Common difference d = 7

So, explicit formula will be:

[tex]a_n=-1+(n-1)7\\a_n=-1+7n-7\\a_n=7n-8[/tex]

So, explicit formula is: [tex]a_n=7n-8[/tex]

Answer:

like terms is -7k-k and 12+8

Answer:

V = 2000 km/h

Step-by-step explanation:

Recall that you need to follow proportionality here, and the ratio involved is: 10 km / 1 cm

then if the vector is 2 m long, then it is 200 cm long (converting it from meters to the same units as our scale which is in cm)

then we have to solve the following proportion to obtain the velocity "V":

10 km/h / 1 cm = V / 200 cm

multiply both sides by 200 to solve for V:

V = 2000 km/h

Answer:

ans=10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

10(4-7) /   -(4 - 1)

10(-3)  /    -(3)

-30    /    -3 =

10

Answer: 0.5p + 2.75

Step-by-step explanation:

since it's one-fourth of it you can divide it by 4

to find the solution.

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, the complete question is:

A rectangle is constructed with its base on the x-axis and two of its vertices on the parabola y 81-x², what are the dimensions of the rectangle with the maximum area? what is the area?

Solution:

Given the parabola:

y = 81 - x²

Let the points (a,0) and (-a, 0) be points on the axis, this points touch the parabola at (a, 81 - a²) and (-a, 81 - a²).

Points (a,0), (-a, 0), (a, 81 - a²), (-a, 81 - a²) form the rectangle.

The length of rectangle = distance between (a,0) and (-a, 0) or between (a, 81 - a²) and (-a, 81 - a²) = 2a

The breadth of rectangle = distance between (a,0) and (a, 81 - a²) or between (-a, 0) and (-a, 81 - a²) = 81 - a²

Area of rectangle (A) = length × breadth = 2a × (81 - a²) = 162a - 2a³

A = 162a - 2a³

The maximum area is at dA / da = 0

dA / da = 162 - 8a² = 0

162 - 6a² = 0

6a² = 162

a² = 27

a = 5.2 units

Length = 2a = 2(5.2) =  10.4 units

Breadth = 81 - a² = 81 - 5.2² = 54 unit

Area = length × breadth = 54 × 10.4 = 561 unit²

Answer:

what type of question is this

Answer:

15

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

21,871 x 0.96 = 20,996

Answer:-7/1

Step-by-step explanation:

Answer:

-7/1

Step-by-step explanation:

Answer:

RIP to all those kings!!

Step-by-step explanation:

Answer:

4(sin^2(x) -2sin^2(x/2))

Step-by-step explanation:

Matter of factorising

Answer:

It is 4(cos(x)-cos^2(x))

Step-by-step explanation:

I used an app on chegg and found that this is the only answer that is equivalent

Answer: D.

A horizontal translation and a glide reflection.

Answer:

2 times

Step-by-step explanation:

Answer:

2 times

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

let the missing number be x

x÷2+49=2¼x

49=9/4x-x/2

lcm=4

9x-2x/4

49=7x/4

49×4=7x

196=7x

divide both sides by 7

196/7=x

therefore 28=x

Answer:

hmm, imma have to do the problem

Step-by-step explanation:

Answer: The 2 answers are inequality form and interval notation: n>200, and (200, ∞).

Step-by-step explanation: To solve for n, you’ll need to simplify the both sides of the inequality, and then isolating the variable.

Answer:

2.5

Step-by-step explanation:

The length of Priya’s run was 2.5 times Tyler’s run.

Given

Priya ran 1 1/2 miles today, and Tyler ran 3 3/4 miles.

To determine how many times the length of Priya’s run was Tyler’s run following all the steps given below.

Let, the distance covered by Priya be x and Tyler be y.

Priya ran 1 1/2 miles today.

Then,

[tex]\rm = 1 \dfrac{1}{2}\times x\\\\= \dfrac{2\times 1+1}{2}\times x\\\\= \dfrac{2+1}{2}\times x\\\\=\dfrac{3x}{2}[/tex]

Tyler ran 3 3/4 miles.

[tex]\rm = 3 \dfrac{3}{4}\times y\\\\= \dfrac{4\times 3+3}{4} \times y\\\\= \dfrac{12+3}{4} \times y\\\\= \dfrac{15y}{4}[/tex]

On comparing both the distance

[tex]\rm \dfrac{3}{2} \times x= \dfrac{15}{4}\times y\\\\x = \dfrac{5y}{2} \\\\x = 2.5y[/tex]

Hence, the length of Priya’s run was 2.5 times Tyler’s run.

To know more about Equation click the link given below.

brainly.com/question/20170569

Answer:

1586

Step-by-step explanation:

Answer: He will need  8.4 liters to conver 7 m².

Step-by-step explanation:

1. You have that 1 m² is convered with 1.2 liters of paint.  

2. Therefore, to solve this problem, you can calculate the liters needed to cover 7 m² by multiplying this area by 1.2 liters and dividing this by 1 m².

Answer:

15. 0

16. Infinate

17. Infinate

18. -3

19. 11/-6

20. 0

Step-by-step explanation:

Im not explaining for each cause that would take too long, just know you plug in the y and x into the formula y1-y2/x1-x2. So for the first one, you would have -1--1 / 4--2 but when there are two subtractions signs it turns into a plus so -1+1 / 4+2

Answer:

I cant tell you the answer but multiply 3x1 then 137 by 2 then add the 3x1 and the 137 x 2 all together and you get the answer

Answer:

20 shirts

Step-by-step explanation:

We are told she paid 80 dollars for general supplies. It costs her 2 dollars to make each t shirt.

Total cost of production is;

80 + 2t

Where t is number of t-shirts.

We are told that She charges 6 dollars per shirt.

This means that total revenue from sales is; 6t

Now,in economics or business, break even point is the point where revenue and total cost are equal.

Thus, break even point will be at;

80 + 2t = 6t

6t - 2t = 80

4t = 80

t = 80/4

t = 20 shirts

Answer:

none

Step-by-step explanation:

8-4=4

if every 2 years, 4 gallons disappear

then every 1 year, 2 gallons disappear

meaning that by 5 years there will be no substance left.

(5*2=10)