Alright! I've seen quite a few of these so I thought I'd get them out of the way and help you out! :).
Direct variation is simple. The formula you'll use to find the constant K is as follows:
y = kx
Once you've established your formula you simply plug in:
.3 = (k)(.6)
Then you solve for k by dividing both sides by (.6) thus getting:
(.3/.6) = k OR (1/2) = k
Your direct variation equation is your standard formula with only K plugged in:
y = (1/2)x
The explicit formula would be
.
This is a geometric sequence, since we are multiplying each term by a constant to find the next term.
The explicit formula for a geometric sequence is given by
,
where g₁ is the first term and r is the common ratio, or the number that is multiplied to get the next term.
Our first term is 5, and the common ratio is 3.
The correct solution is n=3
Answer:
C = -4
Step-by-step explanation:
First, combine like terms (terms with the same amount of variables):
14 = -2C - 3C - 6
14 = (-2C - 3C) - 6
14 = (-5C) - 6
Isolate the variable, C. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operation, and equals:
Parenthesis
Exponents & Roots
Multiplication
Division
Addition
Subtraction.
First, add 6 to both sides:
14 (+6) = -5C - 6 (+6)
14 + 6 = -5C
-5C = 20
Next, divide -5 from both sides:
(-5C)/-5 = (20)/-5
C = 20/-5
C = -4
-4 is your value for C.
~
Answer:
Area of a circle = 615.44 cm²
Step-by-step explanation:
Formula of Area of a circle = πr²
A = 3.14 × 14 × 14 = 615.44 cm²
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