The sense of "rate<span>" being used is "a quantity, amount, or degree of something measured per unit of something else". This is what is asked in this problem. TO calculate, we divide the number of steps to the time it takes.
Steps/min = 775/12 1/2 = 62 steps per minute
Hope this answers the question. Have a nice day.</span>
Answer:
-2, 6, 20 ,...
Step-by-step explanation:
3n² +5n -2
if n=0 , then 3*0² +5*0 -2= -2
if n=1, then 3*1² +5*1 -2 = 3+5-2 = 6
if nu 2, then 3*2² +5*2 -2 = 12 +10 -2 = 20
Answer:
y = 5x - 6
Step-by-step explanation:
1. In a linear equation, it is represented by y = mx + b
2. A line parallel to another has the same slope (m) but a different y-intercept (b)
3. So we know that it is y = 5x as the first half. However, we need to find the new y-intercept.
4. Let's plug in the point we know into the equation, and see what amount we are missing (the y-intercept)
5. y = 5(3)
6. y = 15, however, we know that y = 9. That's a difference of -6.
This shows us that the y-intercept is -6 making the full equation:
y = 5x - 6
We can check by putting the point back into the equation:
y = 5(3) - 6
y = 15 - 6
y = 9
This correlates with the original point, we have solved the equation.
Using y=mx+b, the slope is -2/3 and the y-intercept is -2
y=-(2/3)x -2
Answer: 1/cos θ
Step-by-step explanation:
From basic trigonometry, csc θ is the short form of cosec θ which is further expressed as
csc θ = 1/sin θ
Also,
tan θ = sin θ/cos θ
Knowing this basis of trigonometry makes the simplification easy for us.
Firstly, expressing the equation in terms of sin θ and cos θ,
The equation becomes csc θ * tan θ = [1/sin θ] * [sin θ/ cos θ]
Further simplifying by multiplication, our answer becomes
1/cos θ
