2x+19 = x+23
x=4
So the answer is C
Answer: <span>If x – 5 ≠ 10, then 4x + 1 ≠ 61
Justification:
</span>
1) The inverse of a conditional is negating both the hipothesis and the conclusion of the conditional, keeping the same sense of the implication.
2) This is the scheme (the symbol ~ is used to negate)
conditional: p → q
hypothesis: p
conclusion: q
negated hypothesis: ~p
negated conclusion: ~ q
inverse conditional: ~p → ~q
3) So, for the hypotheis <span>p: x – 5 =10 and the conclusion q: 4x + 1 = 61, the conditional p→ q is:
if x - 5 = 10 then 4x + 1 = 61.
And the inverse is negating both the x - 5 = 10 and 4x + 1 = 61, leading to:
If x – 5 ≠ 10, then 4x + 1 ≠ 61, which is the answer.</span>
Answer:
120
Step-by-step explanation:
the angle.of all of these is 180 and 35+25+X=180..
60+X=180...... X=120
Answer:
<h2>
14.7 %</h2>
Step-by-step explanation:
let us total the amount in her portfolio
Company A was worth $2690
Company B was worth $2980.
Total = $5670
when The stock in Company A decreases by 20% she will have
$2690 *0.8= $2152
Company A will worth $2152
when The stock in Company B decreases by 10% she will have
$2980 *0.9= $2682
Company A will worth $2682
In all after the decline in are portfolio is $2152+$2682= $4834
the difference for the original amount in her investment is = $5670-$4834
= $836
The total percentage decrease in the investor's stock account
= (836/5670)*100= 0.147*100= 14.7 %
Answer: 1,953,125
This is one single value and it is just a bit under 2 million.
Or more accurately, it's a bit over 1.9 million.
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Explanation:
- a = 5 = first term
- r = -5 = common ratio
Note that dividing any term by its previous term gets us the common ratio
- r = term2/term1 = -25/5 = -5
- r = term3/term2 = 125/(-5) = -5
The r value must stay the same the entire time, or else the sequence isn't geometric.
The nth term of any geometric sequence is a*(r)^(n-1). With the 'a' and 'r' values we found, we update that to 5(-5)^(n-1)
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To verify that is the correct nth term expression, plug in various values of n to compare it with the given sequence.
If we tried n = 2 for instance, then we find the 2nd term is
5(-5)^(n-1) = 5(-5)^(2-1) = -25
which matches what your teacher gave you. I'll let you verify the other terms.
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The last thing we need to do is plug in n = 9 and simplify
5(-5)^(n-1)
5(-5)^(9-1)
5(-5)^8
5(390625)
1,953,125 this is one single value (rather than 3 separate values)
