Since 3:00 a.m is three hours after midnight, the variable h in the function would be three.
T(h) = -15 + 3h step 1 - write the equation
T(3) = -15 + 3(3) step 2 - plug in h, which is three
T(3) = -15 + 9 step 3 - simplify the expression
T(3) = -6
Answer:
x = 90°
Step-by-step explanation:
Using the identity
cos²x = 1 - sin²x
Given
cos²x - sin x + 1 = 0
1 - sin²x - sin x + 1 = 0
- sin²x - sin x + 2 = 0 ← quadratic equation in sin x ( multiply through by - 1 )
sin²x + sin x - 2 = 0 ← in standard form
(sinx + 2)(sinx - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
sinx + 2 = 0 ⇒ sinx = - 2 ← has no solution as - 1 ≤ x ≤ 1
sinx - 1 = 0 ⇒ sinx = 1 ⇒ x = 90°
solution is x = 90°
Answer: (<em>Draw a circle and a point outside the circle.)</em>
Step-by-step explanation:
Step 1: Draw a circle and a point outside the circle.
Step 2: Draw line OP, to join the center O to point P.
Step 3: Construct the perpendicular bisector of OP.
Step 4: Draw two arcs on the circumference of the circle.
Step 5: Draw tangent lines JP and KP.
Proof:
Part A: After 9 days the radius of algae was approximately 12.81 mm. The reasonable domain to point is (0,9).
Part B: The 9 on the y-intercept represents the amount of algae the experiment started with.
Part C: (12.81-10.12)/7=0.38
Answer:
By an online search, i found that the options are:
Option A. A(10)
Option B. A(11)-A(9)
Option C. A(10)/10
Option D. A’(10)
Let´s start by defining the concept of a derivative.
When we have a function f(x), the derivative, f´(x), is a measure of the rate of change of f(x) with respect to the variable x.
Then if A(t) represents the area covered by the oil, A´(t) is the rate of change of this area as a function of t.
Particularly, A´(10), will be the rate of change at t = 10.
Then the correct option is: Option D. A´(10)
