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3 years ago

HELP ( IM DOING A TEST) (POINTS)

Mathematics

2 answers:

telo118 [61]3 years ago

8 0

Answer: -2.5 students per year

Step-by-step explanation: Since there is a 6 year difference and the y values decrease by intervals of 15, from the point between '00 and '04 (which is '02) to '08, y decreases by one interval or 15, so the answer is -15/6, or -2.5.

Salsk061 [2.6K]3 years ago

7 0

Answer:

the second one

Step-by-step explanation:

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Answer:

(a)

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(b)

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(c)

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(d)

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Step-by-step explanation:

(a)

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we can use property of exponent

$a^{-n}=\frac{1}{a^n}$

we get

$5^{-3}=\frac{1}{5^3}$

$5^{-3}=\frac{1}{5\times 5\times 5}$

$5^{-3}=\frac{1}{125}$ ........Answer

(b)

$-5^{-3}$

we can use property of exponent

$a^{-n}=\frac{1}{a^n}$

we get

$-5^{-3}=-\frac{1}{5^3}$

$-5^{-3}=-\frac{1}{5\times 5\times 5}$

$-5^{-3}=-\frac{1}{125}$ ........Answer

(c)

$(-5^{-3})^{-1}$

we can use property of exponent

$(a^{n})^m=a^{m\times n}$

we get

$(-5^{-3})^{-1}=(-5)^{-3\times -1}$

$(-5^{-3})^{-1}=(-5)^3$

$(-5^{-3})^{-1}=(-5)\times (-5)\times (-5)$

$(-5^{-3})^{-1}=-125$ ........Answer

(d)

$(-5^{-3})^{0}$

we can use property of exponent

$(a^{n})^m=a^{m\times n}$

we get

$(-5^{-3})^{0}=(-5)^{-3\times 0}$

$(-5^{-3})^{-1}=(-5)^0$

we can use property

$a^0=1$

$(-5^{-3})^{0}=1$ ........Answer

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Work Shown:

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