Your answer is y = -1/2 and y = 2
To solve this quadratic we first need to subtract 2 from both sides to set it equal to 0, which gives us 2y² - 3y - 2 = 0
Then we just need to factorise it:
2y² - 3y - 2 = 0
(2y + 1)(y - 2) = 0
Now we can set each bracket equal to 0 and solve for y:
2y + 1 = 0
2y = -1
y = -1/2
y - 2 = 0
y = 2
I hope this helps! Let me know if you have any questions :)
Answer:
5 + 2 x 9
Step 1 = 7 x 9
Step 2 = 63
Step-by-step explanation:
= 5 + 2 x 9
= 5 + ( 2 x 9 )
= 5 + 18
= 23
Step 2 = 7 x 9
= 63
Step 3 = 63
C. jin did not make a mistake
<em>Sorry </em><em>i'm </em><em>wrong </em><em>:</em><em>)</em>
Answer:

Step-by-step explanation:
The exponential decrease formula that we must use is:

Where A is the amount of thorium as a function of time
is the initial amount and k is the decrease rate
We know that initially there are 50 gr and that you decay 50% every 1.9 years.
So


We solve the equation for k





After 22.8 years the amount of thorium that exists is:


Answer:
704 cm²
Step-by-step explanation:
The circumference of the cylindrical container is given by 2πr.
Now, r = radius of the base
If the diameter of the base is 14 cm then the radius will be 7 cm.
So, the circumference =
cm.
Now, the label around the surface of the container placed 2 cm from top and bottom.
Therefore, the width of the label is (20 - 2 - 2) = 16 cm and the length is 44 cm.
Hence, the area of each label is (44 × 16) = 704 cm² (Answer)
well, what we do is, simply get the area of the containing rectangle, is an 8x10, and then get the area of the circle, with a radius of half of 4.3 or r = 2.15, and then if we subtract the area of the circle from the rectangle's, what's leftover is the shaded part.
![\stackrel{\textit{\large Areas}}{\stackrel{rectangle's}{(8\cdot 10)}~~-~~\stackrel{circle's}{[\pi (2.15)^2]}}\implies 80-4.6225\pi ~~\approx~~65.5](https://tex.z-dn.net/?f=%5Cstackrel%7B%5Ctextit%7B%5Clarge%20Areas%7D%7D%7B%5Cstackrel%7Brectangle%27s%7D%7B%288%5Ccdot%2010%29%7D~~-~~%5Cstackrel%7Bcircle%27s%7D%7B%5B%5Cpi%20%282.15%29%5E2%5D%7D%7D%5Cimplies%2080-4.6225%5Cpi%20~~%5Capprox~~65.5)