Answer:
25
Step-by-step explanation:
From the given information;
Numbers of posters that can be printed in an hour = no of impression/hour × no of plate utilized in each impression.
= 1000x
Thus, the required number of hours it will take can be computed as:
cost per hour = 125
If each plate costs $20 to make, then the total number of plate will equal to 40x
∴
The total cost can be computed as:
At C'(x) = 0
x = 25
where; x = 25
C''(x) = 1.6
Thus, at x = 25, C'' > 0
As such, to minimize the cost, the printer needs to make 25 metal plates.
Answer:
D
Step-by-step explanation:
as we can easily see, the x-coordinates of all points increased by 7.
so, we need a solution with "x+7". that eliminates B and C.
with that transition (glide) the triangle moved to the right into the 4th quadrant.
and now, as a second step, it needs to move up, above the x-axis, into the 1st quadrant.
and that is a reflection across the x-axis.
a reflection across the y axis would bring it back into the 3rd quadrant, where it started.
so, it is D.
The volume of a rectangular prism is its length times width times height, or algebraically,
. You may be used to computing volume with numbers, but remember, a variable is a stand-in for a number. So you can solve this in the same way. Substitute
into the formula for volume. You get
, and you multiply these factors together. As you would with ordinary fractions, multiply the numerators and denominators across. You get
. It seems that the book wants you to simplify by bringing the 6 up to the denominator. Recall the rule
, if n is non-negative. The opposite applies so that
. For your final answer, you write
. This corresponds to
answer choice B.
Answer:
Step-by-step explanation:
In general:
Volume = (the area of the base of the figure) times (the figure's height)
Here, the area of the base is 4 square feet, the height is 2 1/2 foot = 5/2 foot
Our Volume is then:
4 square feet * 5/2 foot = 10 cubic feet
