Answer and Step-by-step explanation:
The signs didn't really "swap". Instead, the whole function was divided by -1, or we could say the function was divided by -3. That would turn:
-18x² - 15x + 3 = 0
into
(-18 / -3)x² - (15 / -3)x + (3 / -3) = 0
6x² + 5x - 1 = 0
And that gives the "swapped signs".
<span>(243)^(2/5) = ?
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The 5 in the denominator means "take the 5th root".
The 2 in the numerator means "square".
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</span><span>Taking the 5th root first you get:
(243)^(2/5) = 3^2
Now squaring gives you
3^2 = 9
So the answer is 9.
Hope this helps :)
~Davinia.
</span>
Answer:
see explanation
Step-by-step explanation:
The perimeter is the sum of the measures of the 3 sides.
Sum the sides and equate to 75, that is
2x - 9 + 3x + 4 + 2x + 3 = 75, that is
7x - 2 = 75 ( add 2 to both sides )
7x = 77 ( divide both sides by 7 )
x = 11
Thus
AB = 2x - 9 = 2(11) - 9 = 22 - 9 = 13 m
BC = 3x + 4 = 3(11) + 4 = 33 + 4 = 37 m
AC = 2x + 3 = 2(11) + 3 = 22 + 3 = 25 m
Answer:
a)
b) 
c) 
Step-by-step explanation:
Part a
The significance level given is
and the degrees of freedom are given by:

Since we are conducting a right tailed test we need to find a critical value on the t distirbution who accumulates 0.1 of the area in the right and we got:

Part b
The significance level given is
and the degrees of freedom are given by:

Since we are conducting a left tailed test we need to find a critical value on the t distirbution who accumulates 0.01 of the area in the left and we got:

Part c
The significance level given is
and
and the degrees of freedom are given by:

Since we are conducting a two tailed test we need to find a critical value on the t distirbution who accumulates 0.025 of the area on each tail and we got:

First we have to find the decimal equivalent by dividing.
5 / 8 = 0.625
It can't be an Integer because decimals can't be intergers, so that's ruled out
It can't be repeating as it does end, so that's also ruled out
Since the decimal does end it can't be non-terminating, non-repeating
So the answer is Terminating Decimal by process of elimination