N
8
→
I used
n
as the unknown number
Explanation:
The quotient is the result of division between two numbers.
The quotient of a number (I used
n
) and
8
would be
n
8
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
Answer:
E. 120
Step-by-step explanation:
Let's say the number of total flowers is (15+2)x
That means the number of geraniums is 2x.
That also means that 1020 = 17x, which makes x = 60
Because 2x = geraniums and x = 60, the number of geraniums is 120
Answer:
D (-1,0) and (-1,3)Step-by-step explanation:see attach. ... For which pair of points can you use this number line to find the distance?
Step-by-step explanation:
Answer:
5.65 hours
Step-by-step explanation:
Given: Initial number of bacteria = 1000
N=1000(2)
To find: Time taken to: increase to 50,000
Solution: N=1000(2)
- 50,000=1000(2)
- Taking log,
- log 50,000 = log 1000(2)
- 4.7 = 3 + _ log 2
- _ = 1.7/log 2 = 5.65
Answer = 5.65 hours
_ = symbol after the two in the brackets that is high up and smaller.