a) 3.8-10= -6.2 cm that's you're answer-6.2 cm
b) -6.2+10=16.2 that's you're answer 16.2 cm
Answer:
wuuuut do u meann
Step-by-step explanation:
Hey there!
If there are 5 choices for a hairstyle, that means that there are 5 options per 1 eye color. This totals out to 15 options (3 × 5) total for eye color and hairstyle combinations.
For each of those combinations, there are an additional 7 options for an outfit. That means that there is a total of 105 options (7 × 15) available to choose from.
Hope this helped you out! :-)
Answer:
Correct arrangement of equation of displacement to find a is as follows;
1- Vt - d = 1/2 a t^2 (^ represents exponent i.e. t square as given in equation)
2- 2(Vt - d ) = a t^2
3- a = 2(Vt - d )/ t^2 (keep in mind, 2(Vt - d) whole divided by t^2)
Step-by-step explanation:
1- In the first equation, Vt is taken to the left side of the equation (keep in mind, original equation of displacement used for reference as given in question) and multiplied by -1 on the both sides of the equation.
2- In the second equation, 2 is multiplied on the both sides.
3- Multiply t^2 on both sides of the equation, We will get a in correct arrangement, which is required to find.
Answer:
56 days
Explanation:
![\sf Half \ Life : A = A_O \ x \ (\dfrac{1}{2} )^{\dfrac{t}{h} }](https://tex.z-dn.net/?f=%5Csf%20Half%20%5C%20Life%20%3A%20A%20%20%3D%20A_O%20%20%20%5C%20x%20%5C%20%28%5Cdfrac%7B1%7D%7B2%7D%20%29%5E%7B%5Cdfrac%7Bt%7D%7Bh%7D%20%7D)
where A is final amount, Ao is initial amount, t is time taken, h is half life
Here given:
initial amount: 400 millicuries
final amount: 3.125 millicuries
half life: 8 days
time taken: ?
Hence solve for time taken:
![\sf \rightarrow A = A_O \ x \ (\dfrac{1}{2} )^{\dfrac{t}{h} }](https://tex.z-dn.net/?f=%5Csf%20%5Crightarrow%20A%20%20%3D%20A_O%20%20%20%5C%20x%20%5C%20%28%5Cdfrac%7B1%7D%7B2%7D%20%29%5E%7B%5Cdfrac%7Bt%7D%7Bh%7D%20%7D)
<u>insert values given</u>
![\sf \rightarrow 3.125 = 400 \ x \ (\dfrac{1}{2} )^{\dfrac{t}{8} }](https://tex.z-dn.net/?f=%5Csf%20%5Crightarrow%203.125%20%20%3D%20400%20%20%5C%20x%20%5C%20%28%5Cdfrac%7B1%7D%7B2%7D%20%29%5E%7B%5Cdfrac%7Bt%7D%7B8%7D%20%7D)
<u>divide both sides by 400</u>
![\sf \rightarrow (\dfrac{1}{2})^{\dfrac{t}{8}}=0.0078125](https://tex.z-dn.net/?f=%5Csf%20%5Crightarrow%20%28%5Cdfrac%7B1%7D%7B2%7D%29%5E%7B%5Cdfrac%7Bt%7D%7B8%7D%7D%3D0.0078125)
<u>apply exponent rule</u>
<u />![\sf \rightarrow {\dfrac{t}{8}}=\dfrac{ln(0.0078125)}{ln(1/2)}](https://tex.z-dn.net/?f=%5Csf%20%5Crightarrow%20%7B%5Cdfrac%7Bt%7D%7B8%7D%7D%3D%5Cdfrac%7Bln%280.0078125%29%7D%7Bln%281%2F2%29%7D)
<u>simplify</u>
![\rightarrow \sf \dfrac{t}{8}=7](https://tex.z-dn.net/?f=%5Crightarrow%20%5Csf%20%5Cdfrac%7Bt%7D%7B8%7D%3D7)
<u>multiply both sides by 8</u>
![\rightarrow \sf t = 56](https://tex.z-dn.net/?f=%5Crightarrow%20%5Csf%20t%20%3D%2056)