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2 years ago

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 8, 12,18 find the 6th term

Mathematics

1 answer:

Andreas93 [3]2 years ago

5 0

Answer:

8 12 18 24 34 46

Step-by-step explanation:

its adding 2 to evrey one that changes

hope this helps :)

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Write out the sample space for the given experiment. Use the following letters to indicate each choice: W for white, Y for yello

allochka39001 [22]

Answer:

S={WG, WE, WM, YG, YE, YM, BG, BE, BM}

Step-by-step explanation:

There are three possible color choices for the game room (White, Yellow or Blue), and three possible choices for the entertainment center (Gray, Ebony or Maple). This means that there are 9 possible outcomes, therefore, the sample space for the experiment is:

S={WG, WE, WM, YG, YE, YM, BG, BE, BM}

4 0

2 years ago

Factor the trinomial x^2-9x+4x

8090 [49]

Answer:

Step-by-step explanation:

Simplifying

x2 + -9x = 4x + -4

Reorder the terms:

-9x + x2 = 4x + -4

Reorder the terms:

-9x + x2 = -4 + 4x

Solving

-9x + x2 = -4 + 4x

Solving for variable 'x'.

Reorder the terms:

4 + -9x + -4x + x2 = -4 + 4x + 4 + -4x

Combine like terms: -9x + -4x = -13x

4 + -13x + x2 = -4 + 4x + 4 + -4x

Reorder the terms:

4 + -13x + x2 = -4 + 4 + 4x + -4x

Combine like terms: -4 + 4 = 0

4 + -13x + x2 = 0 + 4x + -4x

4 + -13x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0

4 + -13x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-4' to each side of the equation.

4 + -13x + -4 + x2 = 0 + -4

Reorder the terms:

4 + -4 + -13x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0

0 + -13x + x2 = 0 + -4

-13x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4

-13x + x2 = -4

The x term is -13x. Take half its coefficient (-6.5).

Square it (42.25) and add it to both sides.

Add '42.25' to each side of the equation.

-13x + 42.25 + x2 = -4 + 42.25

Reorder the terms:

42.25 + -13x + x2 = -4 + 42.25

Combine like terms: -4 + 42.25 = 38.25

42.25 + -13x + x2 = 38.25

Factor a perfect square on the left side:

(x + -6.5)(x + -6.5) = 38.25

Calculate the square root of the right side: 6.184658438

Break this problem into two subproblems by setting

(x + -6.5) equal to 6.184658438 and -6.184658438.

8 0

2 years ago

Read 2 more answers

One student can paint a wall in 20 minutes. Another student can paint the same wall in 30 minutes. Working together, how long wi

Katarina [22]

1) in one minute for first wiil be 1/20

the other 1/30, it means that A paint in one minute 1/20 and B 1/30 then A+B in one minute 1/20 + 1/30 = 3+2/60 = 5 / 60, 5/60 = 1/12

if in one min they make 1/12 then in 12 min they paint all the wall

5 0

3 years ago

Complete the equivalent equation for –7x – 60 = x2 + 10x.

cupoosta [38]

Answer:

x = -5

x = -12

Step-by-step explanation:

- 7x - 60 = x^2 + 10x

add 7x to both sides

x^2 + 17x = -60

add 60 to both sides

x^2 + 17x + 60 = 0

factorise quadratic

(x + 12) (x + 5) = 0

x = -12

x = -12x = -5

6 0

2 years ago

Hüseyin draws a fox with a scale of 3 units on his graph paper represents 15cm. The fox has an actual height of 80cm. What is th

Over [174]

Answer:

The height of the fox in Huseyin's drawing is, 16 units

Step-by-step explanation:

Proportion states that the two ratios or fractions are equal.

As per the statement: Huseyin draws a fox with a scale of 3 units on his graph paper represents 15 cm. The fox has an actual height of 80 cm.

⇒ We are given Scale of 3 units.

On graph paper the length of fox is 15 cm.

The fox has an actual height = 80 cm

let x be the height in units of the fox in Huseyin's drawing.

By definition of proportion;

$\frac{3}{15} = \frac{x}{80}$

by cross multiply we get;

$3 \times 80 = 15x$

Simplify:

240 = 15x

Divide both sides by 15 we get;

x = 16 units.

Therefore, the height of the fox in Huseyin's drawing is, 16 units

6 0

3 years ago

Read 2 more answers