help help helpppppppppp

Answer:

[tex]a_{n}[/tex] = 6n + 1

Step-by-step explanation:

This is an arithmetic sequence with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 13 - 6 = 7 and d = 6 , then

[tex]a_{n}[/tex] = 7 + 6(n - 1) = 7 + 6n - 6 = 6n + 1

Answer:

the first few terms would be

7, 13, 19, 25, 31

nth term = 7 + 6(n+1)

nth term = 7+ 6n + 6

nth term = 6n + 13

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {√7}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] =\frac{7}{ \sqrt{7} }\\ [/tex]

[tex] = \frac{7}{ \sqrt{7} } \times \frac{ \sqrt{7} }{ \sqrt{7} }\\ [/tex]

[tex] = \frac{7 \sqrt{7} }{ \sqrt{7} \times \sqrt{7} }\\ [/tex]

[tex] = \frac{7 \sqrt{7} }{7}\\ [/tex]

[tex](∵ \sqrt{a} \times \sqrt{a} = a)\\[/tex]

[tex] = √7[/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}[/tex]

Step-by-step explanation:

Given,

7/√7

The denominator is √7.

We know that

Rationalising factor of √a is √a.

Therefore, the rationalising factor of √7 is √7.

On rationalising the denominator them

=> (7/√7) × (√7/√7)

=> 7(√7)/(√7 × 7)

=> 7√7/7.

Hence, the denominator is rationalised.

Answer:

1/3x +2/3 = y

Step-by-step explanation:

y= 3x-2

To find the inverse, exchange x and y

x = 3y-2

And solve for y

x+2 = 3y-2+2

x+2 = 3y

Divide by 3

1/3(x+2) = 1/3(3y)

1/3x +2/3 = y

Answer:

Y is equal to 2

Step-by-step explanation:

X equals -8

So,

4(-8) + 9y = -14

-32 + 9y = -14

-32 + 32 + 9y = -14 + 32

9y = 18

1/9 × 9y = 18 × 1/9

y = 2

Answer:

14.21267

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

because there 25% change

Answer:

for the blue its 1/4 or 2/8 and not likely.

For the yellow one it is 7/8 and likely.

Answer:

x = 5

Step-by-step explanation:

The difference between consecutive terms will be equal , then

a₂ - a₁ = a₃ - a₂ , that is

x + 9 - (3x - 2) = 2x + 5 - (x + 9) ← distribute parenthesis on both sides

x + 9 - 3x + 2 = 2x + 5 - x - 9 , simplify both sides

- 2x + 11 = x - 4 ( subtract x from both sides )

- 3x + 11 = - 4 ( subtract 11 from both sides )

- 3x = - 15 ( divide both sides by - 3 )

x = 5

Answer:

x = 5

Step-by-step explanation:

Each new term is 1 greater than the previous term.  Therefore:

x + 9 = (3x - 2) + 1                   Equivalent to x + 9 = 3x - 2 + 1, or:

                                                                       9 + 2 - 1 = 2x, or 2x = 10

                                                Thus, x = 5

Check by substituting 5 for x as indicated:

3x - 2 becomes 13 (which means the next term must be 14)

x + 9 becomes 14, and

2x + 5 becomes 15

and these consecutive sequence terms are {13, 14, 15}

Answer:

never really liked accounting, but...

The Assets seem to total $33000

and the Liabilities also seem to add to $33000

that seems to be what is supposed to happen in an accounting problem

Step-by-step explanation:

Answer:

12600 (ZAR)

Step-by-step explanation:

4.2*3000

Answer:

4 x 3/4 = 3

Step-by-step explanation:

Answer:

C. 0.5

Step-by-step explanation:

The diameter of B is from -2 to 2, which = 4 units.

The diameter of B' is from -1 to 1, which equals 2 units.

2/4 = 1/2 = 0.5 scale factor.

Answer:

Step-by-step explanation

the answee

Answer: if you mean Inches, its 25.

Answer:

36 inches or 1 yard

Step-by-step explanation:

Step-by-step explanation:

hope I understand your question

a = 9/12

b = 6/5

c = 1/12

please simplify the fractions by yourself

Answer:

5. 4

Step-by-step explanation:

[tex] \sqrt{ \frac{1}{25}} \times { \sqrt[4]{81} }^{3} \\ = \frac{1}{5} \times 27 \\ = 5.4[/tex]

brainliest please

Given:

You move down 2 units and up 8 units.

You end at (0, 4).

To find:

The starting point.

Solution:

Let the starting point be [tex](x,y)[/tex].

You move down 2 units and up 8 units. So, the rule of translation is:

[tex](x,y-2+8)=(x,y+6)[/tex]

You end at (0, 4).

[tex](x,y+6)=(0,4)[/tex]

On comparing both sides, we get

[tex]x=0[/tex]

[tex]y+6=0[/tex]

[tex]y=4-6[/tex]

[tex]y=-2[/tex]

Therefore, the starting point is (0,-2).

Answer:

The length is 99 centimeters.

Step-by-step explanation:

The area of a rectangle is found by multiplying:

A = Length • width

We also know that the area of the rectangular painting is 5,049 cm^2

An equation to represent this is:

51w = 5049

To find w, divide:

5049/51 = 99

CHECK YOUR ANSWER:

Formula tor area of a rectangle:

Length x width

Use formula with the measurements:

99 x 52 = 5049

So the length is 99 centimeters.

HOPE THIS HELPS!

Answer:

22

Step-by-step explanation:

B racket

I ndices

D division

M multiplication

A addition

Subtraction

Work out answer using the BIDMAS order

Answer:

unfortunately I do not have the answer, but this is like the only way to tell you something

The 3 real roots of the given equation.

To find the real roots.

Any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power. The quadratic formula to solve a quadratic equation ax2 + bx + c = 0 is x = [-b ± √(b2 - 4ac)]/2a.

Given that:

The equation are

[tex]\sqrt{2x+4}=\frac{1}{2x} +1\\[/tex]

By squaring both sides

[tex]2x+4=\frac{1}{4x^{2} }+1+\frac{1}{x} \\\\2x-\frac{1}{x}+3=\frac{1}{4x^{2} }\\\\8x^{3}-4x+12x^{2} -1=0\\ \\8x^{3}+12x^{2}-4x -1=0[/tex]

Solutions for x

x1 = -1.74543

x2 = -0.17169

x3 = 0.41712

So, the 3 real roots of the given equation.

Learn more about quadratic equation here:

https://brainly.com/question/24116590

#SPJ2

Answer:

D

Step-by-step explanation:

We can start by taking a look at the x and y intercepts. When x=0, y=3. Plugging this into each function,

5 * 3^(0) = 5

3 * 5^(0) = 3

5 * (1/3)^(0) = 5

3 * (1/5) ^ (0) = 3

Therefore, our answer must be either B or D. Then, although y=0 isn't given on the graph, based on where the graph is heading, we can say that y is getting smaller as x gets larger. For a big number, such as 100, we know that

3 * 5^(100) is something big and 3 * (1/5) ^ (100) is something small*. Therefore, as y must get small, not big, as x gets larger, D is our answer.

* We know that this is something small because anything less than 1 to the power of something greater than 1 makes it smaller. For example, 0.5² is 0.25, which is smaller than 0.5

Answer:

0.33

Step-by-step explanation:

1/3 can also be written as 1 ÷ 3 which equals 0.33

Answer:

0.333333333

Step-by-step explanation

Fraction of students taking mandarin: 3/40

Hope it helps.

Answer:

1. 4hrs and 10mnts

2. 13 builders

3. 25 walls

4. 52 toy soldiers

Step-by-step explanation:

1. then, one man can do it in 16hrs and 40mnts, so, 4 men would take 4hrs and 10mnts

2. one builder can build 4 houses in a year, so 13 builders are needed to build 52 houses

3. they can do it at a rate of 2 walls per person for 3 days, so 10 ppl can make 25 walls in 3.75 days

4. 4 toys per person for 2 weeks, so 7 makers can make 52 toys for 3 weeks

Answer:

6.32

5

254.34

Step-by-step explanation:

The lengths of the missing sides can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

first missing side

7² = 3² + x²

49 = 9 + x²

x² = 49 - 9

x² = 40

x = 6.32

second missing side

3² + 4²

9 + 16

= 25

√25 = 5

Area of a circle = πr²

Where : = π = pi = 3.14

3.14 x 9² = 254.34

Answer:

Hope this helps!

Step-by-step explanation:

Answer:

$254.40

Step-by-step explanation:

Find the total bill by multiplying 212 by 1.2, which will calculate the cost included with the 20% tip:

212(1.2)

= 254.4

So, the total bill will be $254.40

Answer:

[tex]\$254.40[/tex]

Step-by-step explanation:

Since 20% as a decimal is 0.2, the total bill including tax is 1.2 times larger than the original bill.

Original bill of $212.00:

Final bill: [tex]212.00\cdot 1.2=\boxed{\$254.40}[/tex]