we know that
If the only factors a polynomial are 
and itself, then that polynomial is prime.
so
If the polynomial has at least one root (one x-intercept) then the polynomial is not prime
Using a graph tool
<u>case 1) </u>
see the attached figure N 1
The polynomial has one root-------> the polynomial is not prime
<u>case 2) </u>
see the attached figure N 2
The polynomial has three roots-------> the polynomial is not prime
<u>case 3) </u>
see the attached figure N 3
The polynomial has zero roots-------> the polynomial is prime
<u>case 4)</u>
see the attached figure N 4
The polynomial has two roots-------> the polynomial is not prime
therefore
<u>the answer is</u>
------> is prime
Short answer 3 times as much = 54 m^3 <<<<< answer
The volumes are krelated by k So solve for k
Volume of Cylinder = k Volume of the cone.
pi r^2 h = k(1/3 pi r^2 h) Since you know that r is the same in both and so is h they divide out.
divide by h
pi r^2 = k (1/3 pi r^2 Divide by pi
r^2 = k (1/3 r^2 ) Divide by r^2
1 = k (1/3) multiply by 3
3 = k
The volume will be 3 times as much.as the cone.
3 * 18 = volume of cylinder.
54 <<<< volume of cylinder.
Answer:
X = 10 Y = 14
Step-by-step explanation:
Okay, so. If you divide the Y and X for example 2.8 divided by 2 is 1.4 5.6 divided by 4 is 1.4. So like it says it is proportional. So, when you get down to the eight. You can see they are adding the X by 2 so the X is 2. The Y would be 2.8. So, you would add 2.8 into 11.2. That would be 14.
Hope this helps!
These three vectors are linearly <u>dependent</u> (details are in the attachment).
Answer:
The number of drips per minute needed to deliver the medication at the prescribed dosage is 50 drips per minute
Step-by-step explanation:
The given parameters are;
The volume of the prescribed medication to delivered through IV = 800 mL
The duration over which the drug is to be delivered = 8 hours
The rate at which the IV delivers the medication = 30 drips/1 mL
800 mL = 800 × 1 mL
Therefore, the total number of drips in 800 mL= 800 mL × 30 drips/mL = 24,000 drips
The rate at which the drug is delivered = 800 mL/(8 hours) = 100 mL/hr = 100/60 mL/minute = 10/6 mL/minute
The total number of drips in 10/6 mL= 10/6 mL × 30 drips/mL = 50 drips
∴ The rate at which the medication needs to be delivered = 10/6 mL/minute = 50 drips/minute
The number of drips per minute needed to deliver the medication at the prescribed dosage of 800 mL/(8 hours) = 10/6 mL/minute = 50 drips per minute.
