Answer:30
Step-by-step explanation: act like both of the triangles are there, that is a rectangle 6 times 10 equals 60. 60 divided by 2 is 30
Answer:
<em>The least number of items to produce is 41</em>
Step-by-step explanation:
<u>Average Cost</u>
Given C(x) as the cost function to produce x items. The average cost is:

The cost function is:

And the average cost function is:

We are required to find the least number of items that can be produced so the average cost is less or equal to $21.
We set the inequality:

Multiplying by x:

Note we multiplied by x and did not flip the inequality sign because its value cannot be negative.
Adding 20x:


Swapping sides and changing the sign:

Dividing by 41:

The least number of items to produce is 41
This comes from subtracting 4 from both sides.
1 foot = 12 inches.
Divide total inches by 12:
51 / 12 = 4.25 feet.
The whole number is the number of feet. Now multiply the decimal portion by 12 to get inches:
0.25 x 12 = 3 inches
51 inches = 4 feet 3 inches
The student is 4 feet 3 inches tall
Answer:
= - 4 cm/s
Step-by-step explanation:
Let us revise the chain rule
If
= a and
= b, then
=
÷
= 
∵ y = x² + 1
- Use the differentiation to find 
∴
= 2x
∵ x = -1
- Substitute x by -1 in
∴
= 2(-1)
∴
= -2
∵
=
×
∵
= 2 cm/s
∴
= (-2) × (2)
∴
= - 4 cm/s