Find the perimeter of a regular octagon if one of its sides is x + 6 and another side is 14 – x.

Answer:

[4,∞)

Step-by-step explanation:

x≥4

[4,∞)

Answer:

The answer is X

Step-by-step explanation:

Answer:

The number of ways is 6435

Step-by-step explanation:

Given

[tex]Male = 6[/tex]

[tex]Female = 5[/tex]

[tex]Students = 4[/tex]

Required

Number of ways a group of 8 can be formed

Here, I'll assume each category of people are distinct:

Hence;

[tex]Total = Male + Female + Students[/tex]

[tex]Total = 6 + 5 + 4[/tex]

[tex]Total = 15[/tex]

Number of ways is then calculated as follows:

[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]

Where

[tex]n = 15\ and\ r = 8[/tex]

So, we have:

[tex]^{15}C_8 = \frac{15!}{(15 - 8)!8!}[/tex]

[tex]^{15}C_8 = \frac{15!}{7! * 8!}[/tex]

[tex]^{15}C_8 = \frac{15 * 14 * 13 * 12 * 11 * 10 * 9 * 8!}{7!8!}[/tex]

[tex]^{15}C_8 = \frac{15 * 14 * 13 * 12 * 11 * 10 * 9}{7!}[/tex]

[tex]^{15}C_8 = \frac{15 * 14 * 13 * 12 * 11 * 10 * 9}{7 * 6 *5 * 4 * 3 * 2 * 1}[/tex]

[tex]^{15}C_8 = \frac{32432400}{5040}[/tex]

[tex]^{15}C_8 = 6435[/tex]

Hence, the number of ways is 6435

Hey there! I"m happy to help!

The interior angles of a triangle add up to 180. We have 2 angles that have a value of x, so 2x+138=180.

We subtract 138 from both sides.

2x=42

We divide both sides by 2

x=21.

Have a wonderful day! :D

Answer:

x>2

Step-by-step explanation:

5x>2x+6 Subtract 2x from 5x

3x>6 Divide 3 by 6

x>2

Answer:

B. April

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Answer:

10, 6, 6, 12, 8, 3, respectively

Step-by-step explanation:

The denominator is the bottom number in a fraction.

Answer:

Point D

Step-by-step explanation:

To draw a perpendicular bisector between BE, you have take more than half of the length BE on the compass. So, it should be D

Answer:

-18

Explanation:

a - b

a = -7

b = 11

Insert -7 for 'a' and 11 for 'b'

-7 - 11

= -18

Answer:

41 divided by 5

$41 divided by 5 people is equal to $8.2 per person

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Form on number to the other there is a difference,and the difference are all odd numbers

From 100 to 93 is 7

From 98 to 84 is 9

From 84 to 73 is 11

From 73 to 45 is 28 this shows that there is a number missing

So from 73 to x should be 13

And from x to 45 should be 15

So 73 -13=60

And 60-15=45

So x is 60

The missing number in the sequence is 60

Given the sequence 100, 93, 84, 73, ... 45​

To get the next term, we need to get the common differences as shown:

To get the missing value, we will subtract 13 from 73.

Missing number  = 73 - 13

Missing number = 60

Hence the missing number in the sequence is 60

Learn more on sequence here: https://brainly.com/question/24989563

Answer:

3.002 * 10⁵

Step-by-step explanation:

3 * 10⁵ = 3 * 10³ * 10² = 3000 *10²

3 * 10⁵ + 2* 10² = 3000 * 10² + 2*10²

                        = (3000 + 2) * 10²

                       = 3002 * 10²

                       = 3.002 * 10³ * 10²

                      = 3.002 * 10⁵

Answer:

101/2

Step-by-step explanation:

Answer:

75/2

Step-by-step explanation:

Simplify the following:

8×4 - 5 (3 + 1/5 - (2 + 1/2)) + (4 - 1)^2

Put 2 + 1/2 over the common denominator 2. 2 + 1/2 = (2×2)/2 + 1/2:

8×4 - 5 (3 + 1/5 - (2×2)/2 + 1/2) + (4 - 1)^2

2×2 = 4:

8×4 - 5 (3 + 1/5 - (4/2 + 1/2)) + (4 - 1)^2

4/2 + 1/2 = (4 + 1)/2:

8×4 - 5 (3 + 1/5 - (4 + 1)/2) + (4 - 1)^2

4 + 1 = 5:

8×4 - 5 (3 + 1/5 - 5/2) + (4 - 1)^2

Put 3 + 1/5 - 5/2 over the common denominator 10. 3 + 1/5 - 5/2 = (10×3)/10 + 2/10 + (5 (-5))/10:

8×4 - 5(10×3)/10 + 2/10 + (5 (-5))/10 + (4 - 1)^2

10×3 = 30:

8×4 - 5 (30/10 + 2/10 + (5 (-5))/10) + (4 - 1)^2

5 (-5) = -25:

8×4 - 5 (30/10 + 2/10 + (-25)/10) + (4 - 1)^2

30/10 + 2/10 - 25/10 = (30 + 2 - 25)/10:

8×4 - 5(30 + 2 - 25)/10 + (4 - 1)^2

30 + 2 = 32:

8×4 - 5 (32 - 25)/10 + (4 - 1)^2

| 2 | 12

| 3 | 2

- | 2 | 5

| 0 | 7:

8×4 - 5×7/10 + (4 - 1)^2

-5×7/10 = (-5×7)/10:

8×4 + (-5×7)/10 + (4 - 1)^2

The gcd of -5 and 10 is 5, so (-5×7)/10 = ((5 (-1)) 7)/(5×2) = 5/5×(-7)/2 = (-7)/2:

8×4 + (-1×7)/2 + (4 - 1)^2

4 - 1 = 3:

8×4 - 7/2 + 3^2

8×4 = 32:

32 - 7/2 + 3^2

3^2 = 9:

32 - 7/2 + 9

Put 32 - 7/2 + 9 over the common denominator 2. 32 - 7/2 + 9 = (2×32)/2 - 7/2 + (2×9)/2:

(2×32)/2 - 7/2 + (2×9)/2

2×32 = 64:

64/2 - 7/2 + (2×9)/2

2×9 = 18:

64/2 - 7/2 + 18/2

64/2 - 7/2 + 18/2 = (64 - 7 + 18)/2:

(64 - 7 + 18)/2

| 1 |  

| 6 | 4

+ | 1 | 8

| 8 | 2:

(82 - 7)/2

| 7 | 12

| 8 | 2

- | | 7

| 7 | 5:

Answer: 75/2

Answer: 0.04

Step-by-step explanation:

Number of trips (n) = 40

Red = 30 seconds, Green = 30 seconds

P(red) = p(green) = 30/ (30+30) = 0.5

P(not red) = p(not green) = 1 - 0.5 = 0.5

P(x) = nCx * p^x * (1-p)^(n-x)

n = number of trials

x = number of outcome desired

P = probability of success of desired outcome

P(X > 25) = P(26) + p(27) + p(28) +.... + p(40)

Hence, to save computation time, we use the binomial distribution probability calculator :

P(X > 25) = 0.04

Answer:

  - 250

Step-by-step explanation:

Pick two points along the line of the graph

(4,7000) and (8,6000)

Using the slope formula

m = (y2-y1)/(x2-x1)

    = (6000-7000)/(8-4)

    -1000/4

   - 250

Answer:

-250

Step-by-step explanation:

Answer:

P’(-1, 1), I’ (1, 2), G’(1,0)

Step-by-step explanation:

Adding a negative is the same as subtracting a positive number.

80 + (-25)

80 - 25

= 55

Best of Luck!

Answer: She earns 50.4 much than she did on her other pay per hour.

Step-by-step explanation: First multiply 11.09 by 40, you get 443.6, then multiply 12.35 by 40 you get 494.0, so then you subtract the two total paychecks, and that's how you get the answer 50.4, more money.

Hope this helps. :)

Answer:

-4

Step-by-step explanation:

g(-2) =  (-2)^2 + 5(-2)

g(-2) = 4 - 10

g(-2) = -6

and

g(-2) + 2

-6 + 2 = -4

Answer:

-4

Step-by-step explanation:

g(x)=x^2+5x

First find g(-2) by letting x=-2

g(-2) = (-2)^2 +5(-2)

       = 4 -10

      = -6

g(-2) +2 = -6+2 = -4

(x - 4y) / w = 9

Multiply both sides by w

x - 4y = 9w

Add 4y to both sides

x = 9w + 4y

Answer:

3000

Step-by-step explanation:

Rounding to the nearest thousand implies not writing any significant figure after the digit located in the column of the thousand. In this case, what you have in that column is the number 3 (which is followed by a 1 in the column of the hundreds) so you need to round the number to 3000.

If the number that followed the 3 was 5 or larger, you would have rounded it to 4000.

Answer:

3,000

Step-by-step explanation:

The answer is 3,000 because:

1) The number in the hundreds place is 1, which is less than 5. Therefore, the number in the thousands place stays the same.

2) Whenever you are rounding with decimals, you have to leave the numbers after the decimal point.

Hope this helps!

Answer:

D. Multiply/divide both sides by the same non-zero constant

A. Yes

Just Did It On Khan Academy

Step-by-step explanation:

Answer:

The negative integers go to the left: , , , and so on. The distance between a number's place on the number line and is called the number's absolute value The absolute value of a number is its distance from 0 on a number line..

Step-by-step explanation:

Negative

I hope this helps :)

Answer:

28

Step-by-step explanation:

35% × 80 =

(35 ÷ 100) × 80 =

(35 × 80) ÷ 100 =

2,800 ÷ 100 =

28

I hope this helps :)

Answer:

You would have to add two different percents to get to 35. You would need to add 25% and 10%. So, I would divided 80 by 4, which gets me 20, and divided 80 by 10, which gets me 8. If you add 20 and 8 together, that gets you 28. Your answer is 28.

Not sample answer, but correct

Answer:

Step-by-step explanation:

3 + 2x + 1 = 2x + 3

2x + 4 = 2x + 3

4 ≠ 3

no solution

Answer:

c=d/4

Step-by-step explanation:

we have to get c by itself...first we have to add d t the other side of the equation so

4c=d now since 4 is being multiplied by c we have to divide it out.

c=d/4

Answer:

10 feet

Step-by-step explanation:

Answer: 2.3 repeating

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