Answer:
The y-intercept is (0,-6)
Step-by-step explanation:
In the equation y = mx + b, b is the y-intercept. In your equation, the b is -6, so the y-intercept is (0,-6).
Answer:
14.99 hours
Step-by-step explanation:
The formula for half-life is given as,
R/R' = 2ᵃ/ᵇ...................... Equation 1
Where R= Original mass of sodium-24, R' = mass of Sodium-24 after disintegration, a = Total time taken for sodium-24 to disintegrate, b = half-life of sodiun-24.
Given: R = 1 kg, R' = 0.0156 kg, a = 90 hours
Substitute into equation 1 and solve for b
1/(0.0156) = 2⁹⁰/ᵇ
Taking the log of both side
log[1/(0.0156)] = log(2⁹⁰/ᵇ)
log[1/(0.0156)] = 90/b(log2)
90/b = log[1/(0.0156)]/log2
90/b = 6.0023
b = 90/6.0023
b = 14.99 hours
b = 14.99 hours.
Hence the half-life of Sodium-24 is 14.99 hours
Step-by-step explanation:
step 1. slope = rise/run
step 2. the rise is the height between any 2 points
step 3. the run is the distance left or right between the same 2 points
step 4. if the line goes up "left to right" the slope is positive, down it is negative
step 5. slope = + 6/2 = 3.
3/8 = 0,375
5/12 = 0,416
5/12 is bigger
Answer:
B
Step-by-step explanation:
Because the equation can be written in the form (x-p)^2+(y-q)^2. So it represents a <u>circle</u> with the radius r=3 and the center of (5,0).
