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dlinn [17]
2 years ago
10

Match the following items by evaluating the expression for x=-3.

Mathematics
2 answers:
nika2105 [10]2 years ago
4 0
-3^-3=1/(-3^3)=-1/27 maybe a typo, because you don't have this as an option
could have been -3^-2=1/(-3^2)=1/9

-3^-1=1/(-3^1)=-1/3

-3^0=1

-3^1=-3

-3^2=9
-Dominant- [34]2 years ago
4 0

Answer:

The values of given expression at x=-3 are x^{-3}= -\frac{1}{27}, x^{-1}=-\frac{1}{3}, x^{0}=1, x^{1}=-3 and x^{2}=9.

Step-by-step explanation:

We need to find the value of each expression at x=-3.

The given expression is

x^{-3}

It can be written as

x^{-3}=\frac{1}{x^3}                     [\because x^{-n}=\frac{1}{x^n}]

Substitute x=-3 in the above expression.

x^{-3}=\frac{1}{(-3)^3}\Rightarrow -\frac{1}{27}

Similarly,

x^{-1}=\frac{1}{x}\Rightarrow -\frac{1}{3}

x^{0}=1                   [\because x^{0}=1]

x^{1}=(-3)^1=-3

x^{2}=(-3)^2=9

Therefore the values of given expression at x=-3 are x^{-3}= -\frac{1}{27}, x^{-1}=-\frac{1}{3}, x^{0}=1, x^{1}=-3 and x^{2}=9.

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2 years ago
Write the percent as a mixed number in simplest form.<br> 168%
vladimir2022 [97]

Answer:

1 and 17/25

Step-by-step explanation:

First, you make it into a fraction. So because percents are out of 100, it would be 168/100. Then, you take 100 out of it to get a mixed number, 1 and 68/100, and then simplify 68/100 by dividing both sides by the greatest common factor, which is 4. 68/100÷4=17/25. The answer would be 1 and 17/25.

(hope this helps :P)

4 0
2 years ago
Does increase in sample size increases degrees of freedom for t-tests.
Elena-2011 [213]
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3 0
2 years ago
Imagine that you need to compute e^0.4 but you have no calculator or other aid to enable you to compute it exactly, only paper a
labwork [276]

Answer:

0.0032

Step-by-step explanation:

We need to compute e^{0.4} by the help of third-degree Taylor polynomial that is expanded around at x = 0.

Given :

e^{0.4} < e < 3

Therefore, the Taylor's Error Bound formula is given by :

$|\text{Error}| \leq \frac{M}{(N+1)!} |x-a|^{N+1}$   , where $M=|F^{N+1}(x)|$

         $\leq \frac{3}{(3+1)!} |-0.4|^4$

         $\leq \frac{3}{24} \times (0.4)^4$

         $\leq 0.0032$

Therefore, |Error| ≤ 0.0032

4 0
3 years ago
the snowfall total two years ago was 10.2 inches. last years was 20% grater. what’s last years snowfall total
strojnjashka [21]

12.24 inches

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7 0
3 years ago
Read 2 more answers
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