Answer:
n = 28°
Step-by-step explanation:
The angle at the centre is twice the angle on the circle subtended on the same arc.
Also angles subtended on the same arc are congruent , thus
m = n
Then
35 + m =
(98 + n ) ← multiply both sides by 2 to clear the fraction
70 + 2m = 98 + n , but since m = n, then
70 + 2m = 98 + m ( subtract m from both sides )
70 + m = 98 ( subtract 70 from both sides )
m = 14 and n = 28
Answer:
The half life is 14.4 seconds because the half life is the time it takes for half of a sample to decay.
Hope this helps!
Mercantilism or laissez faire capitalism
Answer:
y"(2, 1) = -5
Step-by-step explanation:
Step 1: Define implicit differentiation
5 - y² = x²
Step 2: Find dy/dx
- Take implicit differentiation: -2yy' = 2x
- Isolate y': y' = 2x/-2y
- Isolate y': y' = -x/y
Step 3: Find d²y/dx²
- Quotient Rule: y'' = [y(-1) - y'(-x)] / y²
- Substitute y': y" = [-y - (-x/y)(-x)] / y²
- Simplify: y" = [-y - x²/y] / y²
- Multiply top/bottom by y: y" = (-y² - x²) / y³
- Factor negative: y" = -(y² + x²) / y³
Step 4: Substitute and Evaluate
y"(2, 1) = -(1² + 2²) / 1³
y"(2, 1) = -(1 + 4) / 1
y"(2, 1) = -5/1
y"(2, 1) = -5
Factors are related to prime numbers because, a prime number is a number with only two factors: one and itself.
(factors are numbers we can multiply to get another number)