1: -4/1
2: 1/2
3: 1/4
4: -4/1
I hope those r the correct answers
Answer:
It would take 75.8 minutes for the element to decay to 2 grams.
Step-by-step explanation:
The number of grams of element x, after t minutes, is given by the following equation:

In which X(0) is the initial amount and r is the decay rate.
There are 160 grams of Element X
This means that X(0) = 160.
So


Half life of 12 minutes.
This means that X(12) = 0.5*X(0) = 0.5*160 = 80. So



![\sqrt[12]{(1 - r)^{12}} = \sqrt[12]{0.5}](https://tex.z-dn.net/?f=%5Csqrt%5B12%5D%7B%281%20-%20r%29%5E%7B12%7D%7D%20%3D%20%5Csqrt%5B12%5D%7B0.5%7D)

So


How long would it take for the element to decay to 2 grams?
This is t for which X(t) = 2. So







It would take 75.8 minutes for the element to decay to 2 grams.
Answer:
x= - 3
Step-by-step explanation:
2x - 3= 4x + 3
2x = - 6
x = - 3
Alternate Form- 7x-8/8x=3/4
Solution- 8
Hope this Helped :)
The area of the two triangular bases is
(total base area) = 2×(1/2)bh
= bh
= (10 m)(6 m) = 10·6 m² = 60 m²
The area of the three rectangles making up the remaining faces of the prism is
(total lateral area) = length×base + length×height + length×hypotenuse
= length×(base + height + hypotenuse)
= (16 m)(10 m + 6 m + 11.6 m)
= (16 m)(27.6 m) = 16·27.6 m² = 441.6 m²
Then the surface area of the prism is the sum of these
surface area = total base area + total lateral area
= 60 m² + 441.6² = 501.6 m²
When rounded to the nearest whole number, this is
A) 502 m²