Answer: 60cm
Step-by-step explanation:
6 times 2 is 12
12 times 5 is 60
Answer:
Step-by-step explanation:
cos^-1(6/13)=62.5136°
sin(2*62.5136°)=0.8189
cos(2*62.5136°)=-0.5740
Answer:
m = rate of change of the functions.
1) m = 1/2
2) m = -1
3) m = -2
4) m = 1
5) m = 2
Step-by-step explanation:
Hi there!
For the points (a, f(a)) and (b, f(b)), the rate of change between them, m, is calculated as follows:
m = f(b) - f(a) / (b - a)
Then:
1) f(x) = 1/2 x - 3
f(0) = 1/2 · 0 -3 = -3
f(6) = 1/2 · 6 - 3 = 0
m = f(6) - f(0) /( 6 - 0)
m = 0 - (-3) / 6 = 1/2
2) f(x) = -x
f(-4) = -(-4) = 4
f(2) = -2
m = f(2) - f(-4) /(2 - (-4)
m = -2 - 4 / 2 + 4
m = -6/6
m = -1
3) f(x) = x²
f(-2) = (-2)² = 4
f(0) = 0² = 0
m = f(0) - f(-2) / 0 - (-2)
m = 0 - 4/ 2 = -2
4) f(x) = x³
f(-1) = (-1)³ = -1
f(1) = 1³ = 1
m = f(1) - f(-1) / 1 - (-1)
m = 1 - (-1)/ 2
m = 2/2 = 1
5) f(x) = 2x
f(0) = 2 · 0 = 0
f(4) = 2 · 4 = 8
m = f(4) - f(0) / (4 - 0)
m = 8 - 0 / 4
m = 2
Answer:
4n+2
Step-by-step explanation:
The common difference between the terms is 4 which means that the sequence is an arithmetic sequence.
The general formula for arithmetic sequence is:
where a_n is the nth term, a_0 is the first term and d is the common difference between them.
We know that
Putting the value in general formula:
So the generalized pattern is 4n+2 ..
Answer:
C
Step-by-step explanation:
