Answer:
1.753 g
Step-by-step explanation:
Half life of Einsteinium = 20.5 days
Time elapsed = 31 days
Initial quantity of the substance = 5g
The formula to apply is;
Where
N(t)=quantity of a substance remaining
No =Initial quantity of the substance = 5g
t= time elapsed=31 days
t1/2 = half life of the substance= 20.5 days
N(t)=5 * {1/2} ^ {31/20.5}
N{t} = 5 * {0.5}^1.5
N{t} = 5*0.3506
N{t} =1.753 g
Answer:
We should attempt synthetic division to find when
x
3
−
k
x
2
+
2
k
x
−
15
x
−
3
has a remainder of
0
, which would signify that it is a factor of the polynomial.
The synthetic substitution would be set up as:
3
−
∣
∣
∣
1
−
k
2
k
−
15
−−−
−−−
−−−
−−−
−−−
|
0
Treating the synthetic division like any other synthetic division problem, we see that
3
−
∣
∣
∣
1
−
k
2
k
−
15
−−−
−−−
3
−−−−−−−−
−
3
k
+
9
−−−−−−−−
−
3
k
+
27
−−−−−−−−−
1
−
k
+
3
−
k
+
9
|
0
If the remainder equals
0
, then we know that
−
3
k
+
27
+
(
−
15
)
=
0
Solve this to see that
k
=
4
.
Thus,
(
x
−
3
)
is a factor of
x
3
−
4
x
2
+
8
x
−
15
.
Answer:
the domain is 0 x 45 and the range is 0 h 360. The slope is -8, so the change in the height of the ballon is -8 feet per second. The h-intercept is 360, so the height of the ballon when the first noticed it was 360 feet. The x-intercept is 45, so the time it took the hot air balloon to reach the ground was 45 seconds.
Step-by-step explanation:
(2,-15) Down, (20, 2) Right, (2,15) Up and (-16,2) Left
I believe your answer will be 2.4 because 2 cannot be rounded up by 3 and 3 can be rounded up to 4 by 6
