Answer:
14 x 0.27 = 3.78 is your answer
Explanation:
the question is asking for the weight of the object so you multiply and get 3.79
Because the vertex of the parabola is at (16,0), its equation is of the formy = a(x-10)² + 15
The graph goes through (0,0), thereforea(0 - 10)² + 15 = 0100a = -15a = -0.15
The equation is y = f(x) = -0.15(x - 10)² + 15
The graph is shown below.
Part A
Note that y = f(x).
The x-intercepts identify values where the function or y=0. The x-intercepts occur at x=0 and x=20, or at (0,0) and (20,0).
The maximum value of y occurs at the vertex (10, 15) because the curve is down due to the negative leading coefficient of -0.15.
The curve increases in the interval x = (-∞, 10) and it decreases in the interval x = (10, ∞).
Part B
When x=12, y = -0.15(12 - 10)² + 15 = 14.4When x=15, y = -0.15(15 - 10)² + 15 = 11.25
The average rate of change between x =12 to x = 15 is(11.25 - 14.4)/(15 - 12) = -1.05
This rate of change represents the slope of the secant line from A to B. It approximates the rate at which f(x) decreases in the interval x =[12, 15].
Answer:
Step-by-step explanation:
Total peanuts = 5/6pounds
They ate = 3/4 of the peanut
= 3/4 × 5/6 = 5/8pounds
They eat 5/8 pounds
Amount left = 5/6 - 5/8
= (20 - 15)/24
= 5/24pounds
Jesus had 5/24 pounds of peanuts left
87.5 percent
Reason: 40/40-5/40 is 35/40. Divide 35/40 and you get 0.875. Multiply by a hundred and you get 87.5%
Answer: A= 460 mm2
Step-by-step explanation:
Hi, since the circumference formula is :
C = 2 π r
Where r is the radius, we can solve the formula for the radius replacing with the value given:
76 =2 π r
76 / (2 π) = r
r = 12.1 mm
Now , we have to apply the formula for the area of a circle.
A = π r^2
A = π (12.1)^2
A= 459.96 mm2= 460 mm2 (rounded to the nearest tenth, since .9 is higher than .5)
Feel free to ask for more if needed or if you did not understand something.
