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2 years ago

Find the nth term of 8, 2, -4, -10,... then find A50

Mathematics

1 answer:

kumpel [21]2 years ago

7 0

Answer:

An=8+(n-1)(-6)

=8-6n+6

=14-6n

A50=14-6(50)

= -286

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Drag the tiles to the correct boxes to complete the pairs.

Len [333]

<u>Answer:</u>

1. $(-2^2)^{-6}$ ÷ $(2^{-5})^{-4} \implies 2^{-32}$

2. $2^4 . (2^2)^{-2} \implies 1$

3. $(-2^{-4}).(2^2)^0 \implies -2^8$

4. $(2^2).(2^3)^{-3} \implies 2^{-5}$

<u>Step-by-step explanation:</u>

1. $(-2^2)^{-6}$ ÷ $(2^{-5})^{-4}$ :

$= \frac{ ( - 2 ^ 2 ) ^ { - 6 } } { ( 2 ^ { - 5 } ) ^ { - 4 } } = \frac{2^{-12}}{2^{20}} = 2^{-12-20}=2^{-32}$

2. $2 ^ 4 . ( 2 ^ 2 ) ^ { - 2 }$ :

$= 2^4 \times \frac{1}{2^4} = 1$

3. $(-2^{-4}).(2^2)^0$ :

$= (-2^4)^2 \times 1 = -2^8$

4. $(2^2).(2^3)^{-3}$ :

$= 2^4 \times \frac{1}{2^9} =\frac{1}{2^5} =2^{-5}$

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2 years ago

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If 588 digits were used to number the pages of a book, how many pages are in this book?

gregori [183]

Answer:

294 pages are in this book

Step-by-step explanation:

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3 years ago

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When does the new map in among us come out? They say today but I haven't seen it. Anyone know what time?

In-s [12.5K]

Answer:

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2 years ago

Find the area of the rhombus

fenix001 [56]

Check the picture below.

since in a rhombus the diagonals bisect each other, thus EC = EA.

now, the rhombus is simply 4 congruent triangles, we know the base and height of one of them, thus

$\bf \textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh~~ \begin{cases} b=8\\ h=15 \end{cases}\implies A=\cfrac{1}{2}(8)(15)\implies A=60 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of all 4 triangles}}{4(60)\implies 240}$

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3 years ago

a student played a computer game 500 times and won 370 of these game. he then won the next "x" games and lost none. he has now w

a_sh-v [17]

So, this is a proportion problem. If we express 75% as a fraction (3/4ths), we have:

$\frac{370+x}{500+x}=\frac{3}{4}$

Since he won all of his games, we add the number won (x), to the number previously won and divide it by the total games played which is just the previous games played plus the number of current games played, so since he lost no games we still add x to the denominator as well. Solving this gives us:

$4(370+x)=3(500+x) \implies\\ 1480+4x=1500+3x \implies \\ x=20$

That x value is 20.

3 0

2 years ago