X + (X+1)+ (x+2)=-342
3x+3 =-342
3X=-339
X=-113, -114, -115
2 1/4+1 2/4 = 3 3/4 this is how its done as 1/2 teaspoons is equivalent to 2/4
The x- and y-coordinates of point C, which partitions the directed line segment from A to B into the ratio 3:10 is; (-2.6, 5.2)
<h3>How to find coordinate points?</h3>
The coordinate of the points are given as:
A(-4, 8)
B(2, -4)
Ratio of partition is given as; 3:10
Now, the point at the given ratio is calculated from the formula;
C = [(mx2 + nx1)/(m + n)], [(my2 + ny1)/(m + n)]
Thus;
C = [(3*2 + 10*-4)/(3 + 10)], [(3*-4 + 10*8)/(3 + 2)]
C = (-34/13, 68/13)
C = (-2.6, 5.2)
Read more about Coordinate Points at; brainly.com/question/17206319
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Answer:
20, 26, 35, 18
Step-by-step explanation:
So starting at row 129, we look at the sequence two-digits at a time without overlapping. If that number is between 01 and 43, then they get selected.
The first two digits are 20. That fits between 01 and 43, so that member gets selected.
Next, we have 26. That also fits.
After that we have 64. Nope, too high.
98 and 44 are also too high.
35 fits though. So does 18.
So the members that get selected are 20, 26, 35, 18.
Answer: The correct answer is: " 3 " .
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Step-by-step explanation:
_______________________________
The problem given is:
_______________________________
Evaluate: log 2 base 8 .
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Rewrite as: "
" ; 
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Take note of the following definition of a logarithm:
_______________________
"
" ; ↔ "
" ;
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in which:
refers to the "base" ;
refers to the "argument" ;
refers to the "exponent" ;
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As such:
"
"
⇔ "
" ; Solve for "x" ;
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Note:
2⁰ = 1 ;
2¹ = 2 ;
2² = 2 * 2 = 4 ;
2³ = 2 * 2 * 2 = 8 .
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→ "
" ;
→ "
" ; since: "
" ;
→ as such: " x = 3 " ;
______________________
Thus:
"log 2 base 8 " ;
=
.
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Hope this helps!
Best wishes to you!