#1:(A)
#2:(E)
#3:(C)
Hope it helps!
Answer:
-288
Step-by-step explanation:
n=1/2 divided by -144. You then just plug that number which is .00347 into n in the equation and use a scientific calculator to find the answer.
Answer:
1. 2<u>+</u>sqrt(102)
2. 5<u>+</u>sqrt(5)
3. No Solution
4. No Solution
Step-by-step explanation:
1. r^2-4r+4-91=7+4 r^2-2r-2r+4 (r-2)^2-91=11 (r-2)^2=102 r-2=<u>+</u>sqrt(102)
1. x^2-10x+25+26=8+25 x^2-5x-5x+25 (x-5)^2+26=33 (x-5)^2=5 x-5=<u>+</u>sqrt(5)
1. k^2-4k+4+1=-5+4 k^2-2k-2k+4 (k-2)^2+1=-1 (r-2)^2=-2 No Solution
1. b^2+2b+1=-20+1 b^2+b+b+1 (b+1)^2=-19 No Solution
Answer:
1.) 8.09g ; 2) 206.7 years
Step-by-step explanation:
Given the following :
Half-life(t1/2) of Uranium-232 = 68.9 years
a) If you have a 100 gram sample, how much would be left after 250 years?
Initial quantity (No) = 100g
Time elapsed (t) = 250 years
Find the quantity of substance remaining (N(t))
Recall :
N(t) = No(0.5)^(t/t1/2)
N(250) = 100(0.5)^(250/68.9)
N(250) = 100(0.5)^3.6284470
N(250) = 100 × 0.0808590
= 8.0859045
= 8.09g
2) If you have a 100 gram sample, how long would it take for there to be 12.5 grams remaining?
Using the relation :
N / No = (1/2)^n
Where N = Amount of remaining or left
No = Original quantity
n = number of half-lifes
N = 12.5g ; No = 100g
12.5 / 100 = (1/2)^n
0.125 = (1/2)^n
Converting 0.125 to fraction
(1/8) = 1/2^n
8 = 2^n
2^3 = 2^n
n = 3
Recall ;
Number of half life's (n) = t / t1/2
t = time elapsed ; t1/2 = half life
3 = t / 68.9
t = 3 × 68.9
t = 206.7 years
Answer: This would be how I would do it, so the answer might vary from what the teacher wants.
A 135 degree angle is a 90 degree plus 45 degree. So I would first draw a straight line, then divide the line into two 90 degree angles with a perpendicular bisector. Then I would draw a line dividing one of those 90 degree angles into two 45 degree angles. Now I would erase the middle line and now you have a 135 degree angle hint 90 + 45.
Step-by-step explanation:
