You put the names of all the students in your class in a paper bag. There are 14 boys and 20 girls. If you draw a name at random, what is P(boy’s name)?

Answer: good luck

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

10^7 = 1 and 7 zeros after it.

=> 10000000

Answer:

2,125,760

Step-by-step explanation:

The first term (a) is 8

The fourth term is 216

Hence the sum of the first 12 term can be calculated as follows

= 8-8(3)^12/1-3

= 8-24^12/-2

= 2,125,760

The sum of first 12 terms is 2,125,760

Sum of the first 12 term  =  2,125,760

For geometric sequence,

aₙ = arⁿ⁻¹

where

a = first term

r = common ratio

n = number of terms

Therefore,

a = 8

a₄ = 216

let's find the common ratio

216 = 8 × r⁴⁻¹

216 = 8 × r³

r³ = 216 / 8

r³ = 27

r = [tex]\sqrt[3]{27}[/tex]

r = 3

Let's find sum of the first 12 terms.

Sₙ = a (rⁿ - 1) / r - 1

S₁₂ = 8(3¹² - 1) / 3 - 1

S₁₂ = 8(531440) / 2

S₁₂ = 4251520 / 2

S₁₂ = 2,125,760

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Answer:

it represents a variable

Step-by-step explanation:

The number 8 is the coefficient of the variable k.

A coefficient in mathematics is a multiplicative factor in a polynomial term, a series term, or an expression. It is typically a number, but it can also be any expression. They may also be referred to as parameters if the coefficients are variables in and of themselves.

Given that the expression is 8k + 5. In the given expression the number 8 is the coefficient of the given expression.

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Answer:

72 inches

Step-by-step explanation:

Due to the programming error, the robot first moves to the right and then to the left. The second time it moves to the right, it increases its distance by 1 foot to the right and then turns back and moves to the left, reaching the starting position again.

The patterns is as follows:

move 1: moves to the right by 1 foot.

moves 2: moves to the left.

moves 3: moves to the right by 2 feet.

moves 4: moves to the left

moves 5: moves to the right by 3 feet.d

moves 6: moves to the left

moves 7: moves to the right by 4 feet.

moves 8: moves to the left

moves 9: moves to the right by 5 feet.

moves 10: moves to the left

moves 11: moves to the right by 6 feet.

We see that in the end, the robot has managed to only move 6 ft. Since 1 ft = 12 inches, 6 ft = 6* 12 = 72 ft.

So, the robot has painted 72 inches of the fence before Kiteretsuki returns.

Answer:

The question needs more information but you can see that all the numbers in the 1st column are multiplied by 6 to equal the number in column 2

Step-by-step explanation:

3 x6 =18

6 x 6= 36

9 x6= 54

12 x6 =72

Answer:

option 1:a+12

Step-by-step explanation:

add 12 to a

Answer:

The second option

Step-by-step explanation:

Answer:

7. 0.50980392

9. 12

10. 50

i: 1

ii: 6

iii: 3

iv: 2

v: 4.5

vi: 2.5

A = $5,800.00

I = A - P = $1,800.00

hey!

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 15%/100 = 0.15 per year.

Solving our equation:

A = 4000(1 + (0.15 × 3)) = 5800

A = $5,800.00

The total amount accrued, principal plus interest, from simple interest on a principal of $4,000.00 at a rate of 15% per year for 3 years is $5,800.00.

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hope i helped in some way..have great day!

Answer:

A. 20.2 ft

Step-by-step explanation:

use the pythagorean theorem to get your answer.

a^2+b^2=c^2

17^2+11^2=c^2

289+121=410

***IMPORTANT, remember to square root the answer. 410 isn't your final answer, it's still in c^2 form. 20.2 is the correct answer after square rooting it. don't forget that for future problems

Answer:

A. 20.2 ft

Step-by-step explanation:

Hope it helps..

Answer:

Option B

Step-by-step explanation:

We have to complete the table given in the question,

                         One headed               Two headed                    Total

Green                      100                       230 - 125 = 105        105 + 100 = 205

Purple            270 - 100 = 170                    125                      170 + 125 = 295

Total                         270                      500 - 270 = 230                500

By analyzing the given table,

Number of green Jolos in Balan's colony = Total of one headed green Jolos and Two headed green Jolos

= 205

Therefore, number of green Jolos in Balan's colony are 205.

Option B will be answer.

Answer:

When you put together the whole chart you will see the total is 205.

Answer:the answer might be C or B

Step-by-step explanation:

The given ordered pair (1,9.24) represents the ordered pair represents the monthly cost of one song. Option C is correct.

Given that,
Avery signed up for a streaming music service where there's a fixed cost for a monthly membership and a cost per song downloaded. Her total cost is given by the linear graph.

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Here,
According to the question,
9.24 is the total cost marked on the y axis so corresponding to this the value of x is 1 which represents the number of song,
So the given ordered pair describe that the cost of one song per month is $9.24.

Thus, the given ordered pair (1,9.24) represents the ordered pair represents the monthly cost of one song. Option C is correct.

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Trick question! All are rational numbers.

..................................................................................

Answer:

V= √( r/Stu)

Step-by-step explanation:

r = stu/v^2

Let us cross multiply , we have

r. v^2 = (s. t. u)

Let us make v ^2 the subject of the formula, we have

v^2 = (s t u)/ r

Find the square of both sides we have

V= √( r/Stu)

Answer:

C

Step-by-step explanation:

Answer:

[tex] \: x = 10[/tex]

Step-by-step explanation:

prefer the attachment

according to the question

[tex] \displaystyle \: \frac{6}{17.5-x} = \frac{8 + 6}{17.5} [/tex]

simplify addition:

[tex] \displaystyle \: \frac{6}{17.5-x} = \frac{14}{17.5 } [/tex]

simplify fraction;

[tex] \displaystyle \: \frac{6}{17.5 - x} = 0.8[/tex]

cross multiplication:

[tex]\displaystyle 6 = 14 - 0.8x[/tex]

cancel 14 from both sides:

[tex] \displaystyle - 8= - 0.8x[/tex]

divide both sides by -0.8:

[tex] \therefore \: x = 10[/tex]

the answer would be b on scholar

Answer:

3 (x² + 5) (x - 2)

Step-by-step explanation:

3x³- 6x² + 15x - 30

=> 3 (x³ - 2x² + 5x - 10)

=> 3 [x²(x - 2) + 5 (x - 2)]

=> 3 (x² + 5) (x - 2)

Answer:

t < 7

Step-by-step explanation:

52 > 5t + 17

52 - 17 > 5t

35 > 5t

35/5 > t

t < 7

Answer:

Step-by-step explanation:

Change:

Percent change:

Two things that a rigid motion preserves are: length and angle.

The two things that a rigid motion preserves are:

1. Length: A rigid motion preserves the length of objects. This means that the distances between points or the lengths of line segments remain the same after the rigid motion is applied.

For example, if you have a line segment AB of length 5 units, a rigid motion such as translation, rotation, or reflection will not change the length of AB.

2. Angle: A rigid motion preserves angles between lines or line segments. This means that the measure of an angle remains the same after a rigid motion is applied.

For example, if you have an angle ABC with a measure of 60 degrees, a rigid motion will not change the measure of angle ABC.

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Answer:  210 mm²

Step-by-step explanation:

A = 1/2(long base + short base) x height

A = 1/2(18 + 10)(15)

A = 1/2(28)(15)

A = 210 mm²

a right angle so 90 degrees