Answer: 24 grams of element would remain.
Step-by-step explanation:
Exponential function for decay:
....(i) , where A = initial value , b = decay factor, x = time , n= time per period
As per given,
A = 569 grams , 
n= 5 years, t = 23 years
Put all values in (i) , we get
Hence, after 23 years , 24 grams of element would remain.
Find the area of the rectangle and the 1/2 circle, then subtract the half circle's area from the rectangle's.
Area of the rectangle is 30in.
Area of the 1/2 circle is 19.625.
Subtract
30-19.625
10.375
(Round it to 10.4 in this case)
Answer:
C
Step-by-step explanation:
The first number on the mechanic's list is the one that is most negative. The negative numbers on the list are ...
-3/16, -1/4, -1/16
These are easier to compare if they have a common denominator:
-1/4 = -4/16
So, the numbers are ...
-3/16, -4/16, -1/16
The one that is most negative is -4/16 = -1/4. Only one answer choice has this listed first. (No further work is necessary.)
2 ways:
1. solve for x
2. simplify the 10 so it can add to the 4/x
if you use 1. solve for x
8/x=4/x+10
subtract 4/x from both sides
4/x=10
multiply both sides by x
4=10x
divide both side sby 10
0.4=x
proportion is 8/0.4=4/0.4+10
if you use 2. make 10 addable to 4/x
4/x+10/1
multiply 10/1 by x/x
4/x+10x/x=(4+10x)/x
8/x=(4+10x)/x
multiply both sides by x to clear fraciton
8=4+10x
subtract 4
4=10x
divide 10
0.4=x
Answer:
Area= 19.63
Circumference= 15.71
Step-by-step explanation:
Area:
Circumference
- C= 2πr
- C= 2π2.5
- C=5π
- C=15.71
