Answer:
Time required by Machine B to create a widget = 4 hours
Step-by-step explanation:
Time taken by Machine A (
) = 3 hours
Time taken by Machine B (
)= x hours
Time taken by both machines by working together = 12 hours
The time required to both machines by working together to finish a task is given by the formula = 
Put the values in above formula we get
⇒ T = 
⇒ 12 = 
⇒ 36 + 12 x = 3 x
⇒ x = - 4 hours
This is the time required by Machine B to create a widget.
Answer:
Alternate Interior Angles
Step-by-step explanation:
Since they are inside the parallel lines, Alternate Exterior Angles and any other similar theorems can be ruled out.
Since they are on opposite sides of each other, Corresponding Angles and any other similar theorems can be ruled out.
Since they are far apart from each other, Supplementary Angles, Adjacent Angles, Vertical Angles, and any other similar definitions can be ruled out.
Therefore, we are left with Alternate Interior Angles.
The equations are dependent (they're the same equation).
If you multiply the bottom one by 5, you get the top one.
The conclusion of the remainder theorem about a situation where a function; f(x) is divided by (x+3) and has a remainder of 11 is that; f(-3) = 11.
<h3>What does the remainder theorem conclude given that f(x)/x+3 has a remainder of 11?</h3>
It follows from the task content that f(x)/x+3 has a remainder of 11.
On this note, it follows from the remainder theorem regarding the division of polynomials that; when; x + 3= 0; x = -3 and hence;
f(-3) = 11.
Ultimately, the inference that can be drawn from the remainder theorem statement as in the task content is; f(-3) = 11.
Read more on remainder theorem;
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The volume is about 7234.56 cubic mm.
I assume the radius is 12 mm, it must have been repeated accidentally.
To find the volume of a sphere, we cube the radius, multiply by pi and finally multiply by 4/3.
We are the steps:
(12^3) = 1728 x pi (3.14) = 5425.92 x (4/3) = 7234.56