To find the amount of complete octaves there are on the piano, you must first divide 88/ 12; which is 7.333. Since the question is asking for the amount of complete octaves, you must round down to 7. Your final answer is 7 complete octaves.
Step-by-step explanation:
speed = distance/time
we know the speed and the time (11:45am to 1:45pm = 2 hours).
distance = speed × time = 56 m/h × 2 h = 112 miles
Answer:
A
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (- 9, - 4) and r = 
⇒ r² = ()² = 5
(x + 9)² + (x + 4)² = 5 → A
Answer:
36
Step-by-step explanation:
For the answer to the question above,
1. If we let x as the side of the square cut-out, the formula for the capacity (volume) of the food dish is:
V = (12 - 2x)(8 - 2x)(x)
V = 96x - 40x^2 + 4x^3
To find the zeros, we equate the equation to 0, so, the values of x that would result to zero would be:
x = 0, 6, 4
2. To get the value of x to obtain the maximum capacity, we differentiate the equation, equate it to zero, and solve for x.
dV/dx = 96 - 80x + 12x^2 = 0
x = 5.10, 1.57
The value of x that would give the maximum capacity is x = 1.57
3. If the volume of the box is 12, then the value of x can be solved using:
12 = 96x - 40x^2 + 4x^3
x = 0.13, 6.22, 3.65
The permissible value of x is 0.13 and 3.65
4. Increasing the cutout of the box increases the volume until its dimension reaches 1.57. After that, the value of the volume decreases it reaches 4.
5. V = (q -2x) (p - 2x) (x)
