Answer:
(n^3 + 4 n + 4487)/(n + 1)
Step-by-step explanation:
Simplify the following:
(n^3 + 4 n - 2 + 67^2)/(n + 1)
| | 6 | 7
× | | 6 | 7
| 4 | 6 | 9
4 | 0 | 2 | 0
4 | 4 | 8 | 9:
(n^3 + 4 n - 2 + 4489)/(n + 1)
Grouping like terms, n^3 + 4 n - 2 + 4489 = n^3 + 4 n + (4489 - 2):
(n^3 + 4 n + (4489 - 2))/(n + 1)
4489 - 2 = 4487:
Answer: (n^3 + 4 n + 4487)/(n + 1)
Answer: a. Positive, because the products (3)(-3) and (-2)(4) are negative, and the product of two negative numbers is positive
Step-by-step explanation: It is also possible to rearrange the factors.
(3)(4) = 12 a positive number.
(-3)(-2) = 6, a positive number. Again "a negative times a negative is a positive" --Jaime Escalante, <em>Stand and Deliver</em>
Now you have two positive numbers: 12×6 = 72
The product is positive either way.
So you want height to be 0 so you plug zero into the height and solve from there. You subtract 192 from both sides to get -192=-16tsquared. Then you would divide by -16 and end up with 12 = t^2. Then you find the square root of 12 and get t = 3.464 seconds.
Answer:
- EF = 4.1
- DE = 9.1
- m∠F = 66°
Step-by-step explanation:
The hypotenuse and one acute angle are given. The relevant relations are ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
__
For the given triangle, these tell us ...
sin(24°) = EF/DF = EF/10
EF = 10·sin(24°) ≈ 4.1
and ...
cos(24°) = DE/DF = DE/10
DE = 10·cos(24°) ≈ 9.1
The remaining acute angle is the complement of the given one:
F = 90° -D = 90° -24°
∠F = 66°
