Answer:
<h2>3seconds</h2>
Step-by-step explanation:
If a ball thrown downward from a window in a tall building is modeled by the equation, s = 16t² + 32t where s in feet, in order to know the time it will take to fall a distance of 276, we will substitute s = 276feet into the equation and calculate for the value of t as shown;
276 = 16t² + 32t
16t² + 32t = 276
Dividing through by 4
4t² + 8t = 69
4t² + 8t - 69 = 0
Using the general formula to find t
t = -b±√b²-4ac/2a
a = 4, b = 8 and c = -69
t = -8±√8²-4(4)(-69)/2(4)
t = -8±√64+1104/8
t = -8±√1168/8
t = -8±34.176/8
t = -8+34.176/8 or -8-34.176/8
t = 3.272 or -5.272
neglecting the negative time, t = 3secs to the nearest seconds
It will take the all 3secs to fall 276 feets
Answer:
2
a
b^
2
Step-by-step explanation:
1. Find the GCF for the numerical part 22
, 18
2. Find the GCF for the variable part a
^1
,
b^
3
,
a^
4
,b^
2
3. Multiply the values together
1. The common factors for 22, 18 are 1
,
2. The Greatest common factor is 2.
2. Next, find the common factors for the variable part: a
^1
,
b^
3
,
a^
4
,b^
2.
For a^1 it's a itself
For b^3 it's b*b*b
For a^4 it's a*a*a*a
For b^2 it's b*b
The common factors for the variables a
^1
,
b^
3
,
a^
4
,b^
2 are a
*b*b.
a*b*b is ab^2
3. Multiply the GCF of the numerical part 2
and the GCF of the variable part ab^2. That is 2
a
b^
2
Answer:
An independent clause is a group of words that contains both a subject and a predicate. It expresses a complete thought and can stand alone as a sentence. It can also be joined to other dependent or independent clauses to make a more interesting and complex sentence.
Step-by-step explanation:
Flip this table, (╯°□°)╯︵ ┻━┻ flip that table, ┻━┻ ︵ ヽ(°□°ヽ) FLIP ALL THE TABLES,
┻━┻ ︵ \( °□° )/ ︵ ┻━┻ I didn’t do that ¯\_(ツ)_/¯