Answer:
Irrational Numbers. An Irrational Number is a real number that cannot be written as a simple fraction. Irrational means not Rational. rational vs irrational.
Step-by-step explanation:
Answer:
We are asked to determine the correct factorization of the given trinomial which is 5x² - 5x -100. The solution to this problem is shown below:
5x² - 5x - 100 let the problem equal to zero such as:
5x² - 5x - 100 = 0 , factor out 5 from the given trinomial
5(x²-x-20) = 0
5 (x-5)(x+4) = 0
The correct factor is 5(x-5)(x+4).
Step-by-step explanation:
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.
Answer:
s = 16.97 units
Step-by-step explanation:
Since this is a right triangle, we can use trigonometry to figure out the lengths of the sides.
Look at the 45 degree angle. We can use the opposite side (12) and the hypotenuse (s) to solve for s.
Opposite and hypotenuse is sine, so we are using sine. The sine of 45 degrees is 0.70710678118. Make an equation like so:
- 0.70710678118 =
, and we are solving for s.
Put a 1 in the denominator of sine(45 degrees) so you can cross-multiply.
Cross multiply.
Divide both sides by sine(45 degrees).
The length of side s is 16.97 units.
Another way to have done this problem is to use the Pythagorean theorem: a^2 + b^2 = c^2
Substitute 12 for a and b and solve for c, the hypotenuse.
Evaluate the exponents.
Add them together.
Square root 288 to solve for c.
c = 16.97, which is the same answer as you got using trigonometry.
Answer:
8, 3 pointers =24 points 4, 2 pointers = 8points 24+8= 34 points
Step-by-step explanation:
