Answer:
Amie should have multiplied 54 by 2/3
Step-by-step explanation:
The formula of the volume of a sphere is given by
, where r is the radius of the sphere.
to find the volume of the sphere, we must find 
We know that the formula of a cylinder of height h and radius r is given by
So 
We know that the sphere and the cylinder have the same height. Recall that the height of the sphere of radius r, is the diameter of a circle that passes through the heighest and lowest points of the sphere. Then, h=2r. This means that
From here, we know that 
.
So the volume of the sphere is 
.
So Amie should have multiplied 54 by 2/3.
We can divide 4424 by 56 to find our length. 4424/56 is 79. Therefore, the length is 79m. To check our answer, we can multiply 79*56. 79*56 is 4,424.
Answer:
Step-by-step explanation:
From the given function,
f(x) = -3(x + 1)²+ 18
By comparing this equation with the standard equation of the quadratic function,
f(x) = a(x - h)² + k
Here, (h, k) is the vertex.
Part A
Vertex of the given equation → (-1, 18)
Part B
y-intercept → For the value of y at x = 0
y = -3(0 + 1)² + 18
y = -3 + 18
y = 15
y - intercept → (0, 15)
Part C
Since, the given function is opening downwards,
Function will have a maximum.
Part D
Coordinates of maximum point → (-1, 18)
Part E
Axis of symmetry → x = -1
Answer:
Step-by-step explanation:
let x° be temperature when he woke up. Given that the temperature rose by 11° then later dropped by 14°. Also let 
be temperature at time t The temperature relative to time of waking up can be expressed as:
Hence, temperature relative to time of waking up is expressed as
It's 40 just to let u know
