Step-by-step explanation:
by using y=uv derivative formula and stationary mean y' = 0
y' = 3(x–2)⁴ + 3(3x–1)(x–2)³ = 0
cancel 3 and factorize
(x–2+3x–1)(x–2)³ = 0
x = ¾ or x = 2
we got point
and (2,0)
Answer:
Step-by-step explanation:
first count up the numbers on the spinner and the die cut out the number till get the number but i will guess 2
Answer:
1.584
Step-by-step explanation:
1.584 = 3.96 × 0.4
Answer:
Sum of interior angles of 12 sided object = 1800°
Step-by-step explanation:
Formula to calculate the sum of interior angles of a polygon is,
Sum of the interior angles of a polygon = (n - 2) × 180°
Where n = number of sides of the polygon.
If number of sides of a polygon are 12,
For n = 12,
Sum of interior angles = (12 - 2) × 180°
= 10 × 180°
= 1800°
Therefore, sum of interior angles of a 12 sided polygon will be 1800°.
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