Answer:
approximately 27 grams
Work Shown:
Half life formula
y = A*(0.5)^(x/H)
where,
A = starting amount = 30 grams
H = half life period = 90 years
x = number of years that pass by = 12
y = amount left over after x years
Let's plug the values for x, A and H into the formula to find y
y = A*(0.5)^(x/H)
y = 30*(0.5)^(12/90)
y = 27.3516746567466
y = 27 .... rounding to the nearest whole number
Answer: (a) 
(b) 
(c) 
(d) 
Step-by-step explanation:
Properties of exponents :
1) 
2) 
3) 
4) 
Now , we simplify the given expression using the above properties.
a) 
[By property (1)]
[∵ (+)(-)=(-)]
b) 
[By property (3)]
[∵ (-)(-)=(+)]
c) 
[By property (2)]
[By property (4)]
d) 
[By property (3)]
Answer:
25
Step-by-step explanation:
Let's call the missing side (the hypotenuse) c.
c² = 7²+24² (according to the pythagorean theorem)
c= 
c=25
The volume is 12 cm just multiple each 4
Answer:
y = 14
Step-by-step explanation:
Given x plug in 3 for x
y = (2times3) + 8
y = 6 + 8
to cheak ur awsner plug in y as 18 and solve for x