Answer:
Polynomials of degree 8 have exactly 8 roots
Step-by-step explanation:
The Fundamental Theorem of Algebra states that every polynomial of degree n
with
has exactly n roots.
But the roots may be complex numbers.
In your case n=8, so polynomials of degree 8 have exactly 8 roots.
The roots need not be different.
For example, for the polynomial
x=2 is root twice.
The rate of change of the height is 
in/min.
<h3>What is a right circular cylinder?</h3>
A right circular cylinder is a cylinder that has a closed circular surface having two parallel bases on both the ends and whose elements are perpendicular to its base. It is also called a right cylinder.
Volume of the cylinder = 
Rate of change of height is 
= ?
At any time t,
Volume, V =
Since r does not change with time, then r is a constant, so,
V = 
V = 
Differentiate both sides with respect to time t,
-------------(i)
Since 
is given as 4
cu.in. per min,
in/min.
Hence, The rate of change of the height is in/min.
To learn more about right circular cylinder from the given link:
brainly.com/question/2762448
#SPJ4
Answer:
V_avg = 0.5556 miles/min
V_avg = 0.00926 miles/sec
Step-by-step explanation:
Bonita jogs 2.5 miles west of Vinces' house to school. It took her 15 minutes to arrive.
Speed 1; distance/time = V1 = 2.5/15 = 1/6 miles/min
Furthermore she ran 5 miles to the discount store for personal supplies. This took her 5 minutes.
Thus;
Speed 2; V2 = 5/5 = 1 mile/min
She then slowly walks back to school, which takes her another 10 minutes. Distance from the discount stor to school is 5 miles as stated in speed 2.
Thus;
Speed 3: V3 = 5/10 = ½ mile/min
Her average speed is;
V_avg = (V1 + V2 + V3)/3
V_avg = (1/6 + 1 + ½)/3
V_avg = 10/18 = 0.5556 miles/min
Converting to miles/seconds
60 seconds make 1 minutes, therefore 1 mile/min = 1/60 miles/seconds
Thus;
V_avg = 0.5556 miles/min = 0.5556 × 1/60 miles/sec = 0.00926 miles/sec
Answer:
A) 4:5
Step-by-step explanation:
A) 4:5
B) 4:9
C) 5:4
D) 5:9
If there are 4 sixth grade students, you can already cross off D because there is no 4 as an option. There are 5 seventh grade students, you can cross off B because there's no 5. So now it's down to 4:5 or 5:4. Since it wants the ration of sixth to seventh, it's 4 to 5.
Hence, the ratio is 4:5, answer A
Hope this helps :)
<em>Stay Cold, </em>
<em>Brook</em>
I belive,
The experimental probability could be more, the same or less than the theoretical probability of rolling a 1 (which is 1/6).
The larger your sample (i. e., as you go beyond 60 tosses), the closer the two different probabilities are likely to be. (Think: Law of Large Numbers).
