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3 years ago

9. How many ways can 6 different items be arranged in a line and how many ways can 6 different items be arranged in a circle? 1

1 answer:

6 0

36 different ways; usually when it asks how many times different outcomes can pop up, all you have to do is multiply is by itself.

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3. What are the factors of<br> 9x2 - 30x + 25?

vaieri [72.5K]

{(3x)}^{2}-2(3x)(5)+{5}^{2}

−2(3x)(5)+5

{(3x-5)}^{2}

4 0

3 years ago

Can someone tell me the answer please?

vovikov84 [41]

6.241 I think that's right

4 0

4 years ago

Sean tossed a coin off a bridge into the stream below. The path of the coin can be represented by the equation 2 h tt = − 16t^2+

tekilochka [14]

Answer:

It will take 5.61 seconds for the coin to reach the stream.

Step-by-step explanation:

The height of the coin, after t seconds, is given by the following equation:

$h(t) = -16t^{2} + 72t + 100$

How long will it take the coin to reach the stream?

The stream is the ground level.

So the coin reaches the stream when h(t) = 0.

$h(t) = -16t^{2} + 72t + 100$

$-16t^{2} + 72t + 100 = 0$

Multiplying by (-1)

$16t^{2} - 72t - 100 = 0$

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

$16t^{2} - 72t - 100 = 0$

$a = 16, b = -72, c = -100$

$\bigtriangleup = (-72)^{2} - 4*16*(-100) = 11584$

$t_{1} = \frac{-(-72) + \sqrt{11584}}{2*16} = 5.61$

$t_{2} = \frac{-(-72) - \sqrt{11584}}{2*16} = -1.11$

Time is a positive measure, so we take the positive value.

It will take 5.61 seconds for the coin to reach the stream.

3 0

4 years ago

In science class Abigail Broadway 0.88 kilogram what is the value of the digit in the tenths place

zaharov [31]

0.88......ones (decimal), tenths, hundredths
so 8 is in the tenths place....8/10

7 0

3 years ago

Quickly helllllpppp! plz

xz_007 [3.2K]

Answer:

≈ 8.07 mg

Step-by-step explanation:

Given

f(x) = 12 $(0.82)^{x}$

Substitute x = 1 into f(x) , that is

f(2) = 12(0.82)² = 12 ×0.6724 ≈ 8.07 mg

7 0

3 years ago

9. How many ways can 6 different items be arranged in a line and how many ways can 6 different items be arranged in a circle? 1​

9. How many ways can 6 different items be arranged in a line and how many ways can 6 different items be arranged in a circle? 1