Answer:
27.5 minutes
Step-by-step explanation:
Using,
R/R' = 2ᵃ/ᵇ------------------ Equation 1
From the equation,
R = mass of Element X before radioactive decay, R' = mass of element X after radioactive decay, a = Time taken, b = half life.
Given: R = 870 grams, R' = 154 grams, b = 11 minutes.
Substitute these values into equation 1
870/154 = 2ᵃ/¹¹
(870/154)¹¹ = 2ᵃ
Solve for a
2ᵃ = (5.649)¹¹
2ᵃ = 187061.26
Taking the logarithm of both side,
Log2ᵃ = Log(187061.26)
⇒ a = log(187061.26)/log2
a = 8.272/0.301
a = 27.5 minutes
Answer:
<u>-3.45</u> is closer to -3
Step-by-step explanation:
because, since it's negative the closer the negative number is closer to 0 its number is lower (-) like -4 is farther away from the 0 than -3.
B because absolute value means the distance of a point on a number line from 0. So the absolute value of -6 is 6 and you add that to 4
-7x + 6y =5
x intercept. y=0
-7(x) + 6(0)=5
x=-5/7
y intercept, x=0
-7(0)+6(y) =5
y=5/6
Volume of a prism=LWH
V=12 3/8 * 10*5
V=12.375 * 50
V=618.75
The volume of the prism is 618.75yd³