Answer:
x =12
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
30 + 4x+2 = 8+6x
Combine like terms
32 +4x = 8+6x
Subtract 4x from each side
32+4x-4x = 8+6x-4x
32 = 8+2x
subtract 8 from each side
32-8 = 8-8+2x
24 = 2x
Divide each side by 2
24/2 =2x/2
12 =x
Your question is missing an important value. That is the number of people on this trip. So we assume that 250 people are on this trip.
Answer:
88 persons
Step-by-step explanation:
Be cause your question does not have the total number of people on this trip, I assumed that the number of people should be 250.
Now we are to find 35% of 250.
This would give the total number of people they enjoyed the trip
0.35 x 250
= 87.5
approximately 88 persons
So we say that 88 persons loved the zoo.
To trick is to find 35% of whatever number of people are on this field trip.
A.) P(t) = P0exp(kt)
P(20/60) = 40 exp(20k/60)
80 = 40 exp(k/3)
exp(k/3) = 80/40 = 2
k/3 = ln(2)
k = 3ln(2)
b.) P(8) = 40(2)^24 = 40(16777216) = 671088640 cells
d.) Rate of change = exp(8k) = exp(8(3ln(2)) = exp(24ln(2)) = exp(16.6355) = 16777216 cells / hour
e.) P(t) = 40(2)^3t; t in hours
1,000,000 = 40(8)^t
25,000 = 8^t
ln(25,000) = t ln(8)
t = ln(25,000)/ln(8) = 4.87 hours
Answer:
a= 3
Step-by-step explanation:
11=1/3a + 2
-2 -2
9=1/3a
a = 3
9514 1404 393
Answer:
6.5 cm
Step-by-step explanation:
The Pythagorean theorem applies. You want c for a=1.6, b=6.3.
c² = a² +b²
c² = 1.6² +6.3² = 2.56 +36.69 = 42.25
c = √42.25 = 6.5
The length of the hypotenuse is 6.5 cm.
