Answer:
y = 28
Step-by-step explanation:
Given that y varies directly as x and inversely as z then the equation relating them is
y = 
← k is the constant of variation
To find k use the condition y = 4 when x = 2 and z = 7, then
4 = 
( multiply both sides by 7 )
28 = 2k ( divide both sides by 2 )
14 = k
y = 
← equation of variation
When x = 6 and z = 3 , then
y = 
= 14 × 2 = 28
Morse code is essentially the same as binary. That is, there are two "digits", a dot or a dash.
There are 26 letters in the English alphabet. Clearly, we can't just use one dot or dash, since that could only encode 2 letters at the most. We can't use two symbols because that could only encode 4 letters at the most. Similarly, 3 symbols means
letters at most.
We have to select the smallest power of 2 that exceeds or is equal to 26. In this case,
, so we would have to use up to 5 symbols to encode each letter in the alphabet.
Answer:
1) f(x)<x+4
f(x)>-x-3
f(x)<5
2)2.5>0+2
2.5<0+3
2.5<0+5
<u>----------------------------</u>
HOPE IT HELPS
HAVE A GREAT DAY!!
Answer:
Perimeter = (11x + 12)
Step-by-step explanation:
Since, perimeter of a polygon is represented by the sum of measures of all sides,
Perimeter of the given polygon = 3x + (x + 10) + 5x + (2x + 2)
By adding like terms of the expression,
Perimeter of the polygon = (3x + x + 5x + 2x) + (10 + 2)
= (11x + 12)
Therefore, expression for the perimeter is (11x + 12).
Answer:
Answers B, E and F (1, 5 and 6).
Step-by-step explanation:
In an exponential equation, (y=ab^x), the "b" value must be a decimal less than 1 (but greater than 0) for it to be considered an exponential decay function. Only equations B, E and F have a "b" value that fits this criteria.
