Answer:
C. 
General Formulas and Concepts:
<u>Calculus</u>
- Mean Value Theorem (MVT) - If f is continuous on interval [a, b], then there is a c∈[a, b] such that
- MVT is also Average Value
Step-by-step explanation:
<u>Step 1: Define</u>
f'(c) = 20
Interval [1, b]
<u>Step 2: Check/Identify</u>
Function [1, b] is continuous.
Derivative [1, b] is continuous.
∴ There exists a c∈[1, b] such that
<u>Step 3: Mean Value Theorem</u>
- Substitute:
- Rewrite:
And we have our final answer!
Answer:
2)A plane has length and width.
3)A plane extends infinitely in all directions
5)A plane is a flat surface.
Step-by-step explanation:
We can think of a plane as a line in space with no height, only length and width.
Yes, a plane is a two-dimensional surface, hence it has length and width.
2)A plane has length and width (TRUE)
The plane surface extends infinitely far, therefore it extends infinitely in all direction.
3)A plane extends infinitely in all directions (TRUE)
5)A plane is a flat surface(TRUE)
The correct options are 2,3 and 5.
See attachment
Answer:
1. cell?
2. distinction
3. assumption
4. foliage
5. commission
6. dimension
7. considerable
8. membrane
9. cell
10. final
11. viewpoint
12. considerable
Step-by-step explanation:
Answer:
117
Step-by-step explanation:
Let d represent the number of stamps Derek had at first. After he gave 1/9 of his stamps to Ahmad, Ahmad had (d -104) +(d/9). Derek had 4 times this number after giving away d/9 stamps:
(d -d/9) = 4((d -104) +d/9)
(8/9)d = 4d -416 +(4/9)d
416 = (32/9)d . . . . add 416 -8/9d
117 = d . . . . . . . . . . multiply by 9/32
Derek had 117 stamps at first.
_____
<em>Check</em>
1/9 of Derek's collection is 13 stamps. 104 less than Derek's collection is 13 stamps.
So, Ahmad started with 13 stamps and was given 13 stamps by Derek. Meanwhile, Derek started with 117 stamps and gave away 13, so ended with 104 stamps. That number (104) is 4 times Ahmad's new number (26), as it should be.
Answer:
160 ounces
Step-by-step explanation:
16 ounces=1 pound
10x16=160
