Answer:
∠43=1/2(62+x)
43×2=62+x
86-62=x
24=x
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Answer:
B
Step-by-step explanation:
Given
x² + 3x + 2 = 0
To factor the quadratic
Consider the factors of the constant term (+ 2) which sum to give the coefficient of the x- term (+ 3)
The factors are 2 and 1, since
2 × 1 = 2 and 2 + 1 = 3, thus
(x + 2)(x + 1) = 0
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x + 1 = 0 ⇒ x = - 1
Given:
Nana has a water purifier that filters
of the contaminants each hour.
Water has contaminants = 
To find:
The function that gives the remaining amount of contaminants in kilograms, C(t), t hours after Nana started purifying the water.
Solution:
Let C(t) be the remaining amount of contaminants in kilograms after t hours.
Initial amount of contaminants = 
Decreasing rate is
.
Using the exponential decay model:

where,
is initial amount of contaminants, r is the decreasing rate and t is time in hours.
Substituting the values, we get


Therefore, the required function is
.
Answer: B: Velocity
Step-by-step explanation: because velocity is the speed of something in a given direction.
Answer:

Step-by-step explanation:
Given: 
Take ln of both sides

Differentiate with respect to x
