Answer:
E = 8
Step-by-step explanation:
y - x = 4
y - (3y) = 4
y - 3y = 4
2y = 4
y = 4/2
y = 2
x = 3y
x = 3×2
x = 6
x + y = 2+6
x+y = 8
<u>Answer:</u>
The mid-point is (7.5, 8.5).
<u>Step-by-step explanation:</u>
We are given two points (9,9) and (6,8) as the endpoints for a line segment and we are to find the midpoint of this segment.
We know that the formula for finding the mid point is:
<em>Mid point = 
</em>
So substituting the given values of the coordinates of the endpoints in the above formula to get:
Therefore, the mid-point is (7.5, 8.5).
Answer:
Step-by-step explanation:
Method 1: Taking the log of both sides...
So take the log of both sides...
5^(2x + 1) = 25
log 5^(2x + 1) = log 25 <-- use property: log (a^x) = x log a...
(2x + 1)log 5 = log 25 <-- distribute log 5 inside the brackets...
(2x)log 5 + log 5 = log 25 <-- subtract log 5 both sides of the equation...
(2x)log 5 + log 5 - log 5 = log 25 - log 5
(2x)log 5 = log (25/5) <-- use property: log a - log b = log (a/b)
(2x)log 5 = log 5 <-- divide both sides by log 5
(2x)log 5 / log 5 = log 5 / log 5 <--- this equals 1..
2x = 1
x=1/2
Method 2
5^(2x+1)=5^2
2x+1=2
2x=1
x=1/2
Answer:
800 mg
Step-by-step explanation:
As the excerpt states that the client weights 176 pounds and is to receive cyclophosphamide (Cytoxan) 50 mg/kg, we have to convert 176 pounds to kg:
1 kg → 2.20 pounds
x ← 176 pounds
x= (176 pounds * 1 kg)/2.20 pounds= 80 kg
Now, we have to determine the total amount of cyclophosphamide (Cytoxan) that the client has to receive:
50 mg/kg
For 80 kg: 80 kg *50 mg/kg= 4,000 mg
As the dose is divided over 5 days:
4,000 mg / 5= 800 mg
The client will receive 800 mg of cyclophosphamide each day.
