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3 years ago

You have 6 different video games. How many different ways can you arrange the games side by side on a shelf?

Mathematics

1 answer:

tresset_1 [31]3 years ago

8 0

36 ways to stack 6+6+6+6+6+6

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Zero is not an element of the set of whole numbers A). True B). False

ollegr [7]

Answer:

False, it's a whole number.

Step-by-step explanation:

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2 years ago

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Find the area of the region under the graph of f on [a, b]. f(x) = x2 − 8x + 17; [−1, 2]

Harman [31]

Answer:

The area is 42 area units.

Step-by-step explanation:

The area of a function f(x) on an interval [a,b] is given by:

$A = \int\limits^a_b {f(x)} \, dx$

Applying to this question:

$A = \int\limits^-1_2 {x^2 - 8x + 17} \, dx$

Then

$F(x) = \frac{x^{3}}{3} - 4x^{2} + 17x$

$A = F(2) - F(-1)$

$F(2) = frac{2^{3}}{3} - 4*2^{2} + 17*2 = \frac{8}{3} + 18 = \frac{8 + 3*18}{3} = \frac{62}[3}$

$F(-1) = frac{(-1)^{3}}{3} - 4*(-1)^{2} + 17*(-1) = -\frac{1}{3} - 21 = \frac{-1 - 21*3}{3} = -\frac{64}[3}$

$A = F(2) - F(-1) = \frac{62}[3} - (-\frac{64}[3}) = \frac{62+64}{3} = 42$

The area is 42 area units.

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3 years ago

A grandmother deposited $4,000 in an account that pays 5% per year compounded annually when her granddaughter was born. What wil

Leya [2.2K]

A = P (1 + r/n)^nt
A = 4000(1 + 0.05/1)^(13)(1)
A = $7542.59

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3 years ago

Write the equation of the line that has undefined slope and passes through the point(-5,9)

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Write the equation of the circle with center (3, 2) and radius r = 7. Use the ^ key for the exponents. Write your answer as the example: (x - 4)^2+(y+8)^2=25

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3 years ago

Need help quick please. Find the area of the sector use 3.14 for pi

olga55 [171]

$\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=9\\ \theta =120 \end{cases}\implies \begin{array}{llll} A=\cfrac{(120)\pi (9)^2}{360}\implies A=27\pi \\\\\\ \stackrel{using~\pi =3.14}{A\approx 84.8} \end{array}$

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1 year ago

You have 6 different video games. How many different ways can you arrange the games side by side on a​ shelf?

You have 6 different video games. How many different ways can you arrange the games side by side on a shelf?