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4 years ago

Please help quickly!!

Mathematics

2 answers:

rosijanka [135]4 years ago

5 0

Answer:

$\frac{6}{25}$

Step-by-step explanation:

The slope of any relationship is always rise over run. This means the vertical distance traveled over the horizontal distance traveled will get us our slope.

We travels 24 feet vertically for every 100 feet horizontally, so:

$\frac{24}{100}$ .

We can simplify this fraction to find the slope in fraction form.

$\frac{24\div4}{100\div4} = \frac{6}{25}$

So the slope of this equation is $\frac{6}{25}$ .

Hope this helped!

tatyana61 [14]4 years ago

4 0

Answer:

6/25

Step-by-step explanation:

rise / run

24/100 = 6/25

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If the binomial (x+y)^7 were expanded, what would be the coefficient of each term?

Svetllana [295]

Answer:

Term coefficient

x⁷ 1

x⁶y 7

x⁵y² 21

x⁴y³ 35

x³y⁴ 35

x²y⁵ 21

xy⁶ 7

y⁷ 1

Explanation:

You can use Pascal's triangle to predict the coefficient of each term in a binomial expansion.

Since the binomial has exponent 7, the expanded expression will have 8 terms: (x + y)⁰ has 1 term, (x + y)¹ has two terms, (x + y)² has three terms, (x + y)³ has four terms, and so on.

The Pascal triangle for 8 terms has 8 rows and they are:

1 row 1

1 1 row 2

1 2 1 row 3

1 3 3 1 row 4

1 4 6 4 1 row 5

1 5 10 10 5 1 row 6

1 6 15 20 15 6 1 row 7

1 7 21 35 35 21 7 1 row 8

So, the coefficients, in order, are the numbers from the row 8: 1, 7, 21, 35, 35, 21, 7, and 1.

And the terms in order are: x⁷y⁰, x⁶y¹, x⁵y², x⁴y³, x³y⁴, x²y⁵, x¹y⁶, and x⁰y⁷.

With that, you can write the coefficient of each term:

Term coefficient

x⁷y⁰ = x⁷ 1

x⁶y¹ = x⁶y 7

x⁵y² 21

x⁴y³ 35

x³y⁴ 35

x²y⁵ 21

x¹y⁶ = xy⁶ 7

x⁰y⁷ = y⁷ 1

3 0

3 years ago

What does the y-intercept represnt

malfutka [58]

Answer:

The point where the line passes throught the y axis

7 0

3 years ago

Read 2 more answers

A modified roulette wheel has 32 slots. one slot is 0, another is 00, and the others are numbered 1 through 30, respectively. Yo

mariarad [96]

Answer:

0.46875 ; 1.133 ; $17 ;19.27

Step-by-step explanation:

Number of slots = 32

0, 00, {1,.. 30}

Odd outcomes = {1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29}

1.) probability of winning :

P(winning) = number of odd outcomes / tot possible outcomes

P(winning) = 15 / 32 = 0.46875

2.)

Odds against winning :

Number of losing outcomes / number of winning outcomes

Not odd numbers / odd numbers = 17 /15 = 1.133

C.)

Payoff odd = 1:1

If bet value = $17 ;

Profit made on winning = $17 * 1 = $17

d.)

If Payoff odd = odd against winning = 17 / 15

Profit on $17

17/ 15 * 17

(1.1333333) * 17

= 19.27

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3 years ago

Answer choices : A.27 B.32 C.34 D.39

ololo11 [35]

x = 27° (A)

Step-by-step explanation:

5x° + (x + 18)° = 180°

(5x + x)° + 18° = 180°

6x° + 18° = 180°

6x° = 180° - 18°

6x° = 162°

x° = 162 ÷ 6

x° = 27°

So, the value of x is 27° (A)

Hope it helpful and useful :)

7 0

3 years ago

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State the commutative property of multiplication, and provide an example using two different numbers.

attashe74 [19]

Answer:

The commutative property of multiplication states that the numbers of the operation can change their order, and this action will not alter the outcome.

Example 1:

$8*4=32$

Changing the order of the numbers in the operation:

$4*8=32\\\\Then,\\8*4=4*8$

Example 2:

$10*12=120$

Changing the order of the numbers in the operation:

$12*10=120\\\\Then,\\10*12=12*10$

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3 years ago