<h2>Mary drives 7 miles!</h2><h3 /><h3>2cm / 4mi = 1cm / 2mi</h3><h3>1(2) + 2.5(2) = 7</h3><h3 /><h3><em>Please let me know if I am wrong.</em></h3>
Answer:
![\large \boxed{\text{18 cm}}](https://tex.z-dn.net/?f=%5Clarge%20%5Cboxed%7B%5Ctext%7B18%20cm%7D%7D)
Step-by-step explanation:
The formula for the volume (V) of a sphere is:
V = ⁴/₃πr³
We can use this equation to calculate the radius (r) and from there get the diameter (D).
![\begin{array}{rcl}V & = & \dfrac{4}{3} \pi r^{3}\\\\972 \pi & = & \dfrac{4}{3} \pi r^{3}\\\\972 & = & \dfrac{4}{3} r^{3}\\\\2916 & = & 4r^{3}\\729 & = & r^{3}\\r&=&\text{9 cm}\\\end{array}\\D = 2r = 2 \times \text{9 cm}= \textbf{18 cm}\\\text{The diameter of the sphere is $\large \boxed{\textbf{18 cm}}$}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Brcl%7DV%20%26%20%3D%20%26%20%5Cdfrac%7B4%7D%7B3%7D%20%5Cpi%20r%5E%7B3%7D%5C%5C%5C%5C972%20%5Cpi%20%26%20%3D%20%26%20%5Cdfrac%7B4%7D%7B3%7D%20%5Cpi%20r%5E%7B3%7D%5C%5C%5C%5C972%20%26%20%3D%20%26%20%5Cdfrac%7B4%7D%7B3%7D%20r%5E%7B3%7D%5C%5C%5C%5C2916%20%26%20%3D%20%26%204r%5E%7B3%7D%5C%5C729%20%26%20%3D%20%26%20r%5E%7B3%7D%5C%5Cr%26%3D%26%5Ctext%7B9%20cm%7D%5C%5C%5Cend%7Barray%7D%5C%5CD%20%3D%202r%20%3D%202%20%5Ctimes%20%5Ctext%7B9%20cm%7D%3D%20%5Ctextbf%7B18%20cm%7D%5C%5C%5Ctext%7BThe%20diameter%20of%20the%20sphere%20is%20%24%5Clarge%20%5Cboxed%7B%5Ctextbf%7B18%20cm%7D%7D%24%7D)
I’m not sure whether there is a typo in the function but I might have the answer.
If f(x) = 5(x+1)+3 = -12 then you can solve for x.
5(x+1)+3 = -12
5x + 5 + 3 = -12 << expand the brackets
5x + 5 = - 15 << minus 3
x + 1 = -3 << divide everything by 5
x = -4 << minus 1
I don’t know if this helps x Sorry
9514 1404 393
Answer:
y = -|x -1| +2
Step-by-step explanation:
The transformation ...
-f(x -h) +k
reflects function f(x) over the x-axis, translates it 'h' units to the right and 'k' units up.
Your absolute value function is reflected over the x-axis, then translated 1 unit right (h=1) and 2 units up (k=2). Putting these values in the function, we have ...
y = -abs(x -1) +2
y = -|x -1| +2