1. 8/8
2. 6/6
3.9/9
4. 5/5
Answer:
x = 8 or x = -8
Step-by-step explanation:
x^4 - 256 = 0
<=>x^4 - 4^4 = 0
<=>(x - 8)(x + 8)(x^2 + 64) = 0
Case 1 :
x - 8 = 0
<=>x = 8 (choose)
Case 2:
x + 8 = 0
<=>x = -8 (choose)
Case 3:
x^2 + 64 = 0
<=>x^2 = -64 (nonsense)
so x = 8 or x = -8
Done :))
The coordinates of point M which divides the line segment having end points (1,-2) and (10,3) in 5:1 are (17/2,13/6).
Given that the end points of line segment are X(1,-2) and Y(10,3) and the ratio in which the line segment is being divided is 5:1.
Line segment is a collection of points which when together joined joins two points on a surface.
The coordinates of point dividing a line segment with end points
and ratio m:ncan be calculated using the below given formula:
(X,Y)=
.
We have to just put the values in the above formula to get the coordinates.
(X,Y)=(5*10+1*1/5+1,5*3-2*1/5+1)
=(50+1/6,15-2/6)
=(51/6,13/6)
=(17/2,13/6)
Hence the coordinates of point M which divides the line segment having end points (1,-2) and (10,3) in 5:1 are (17/2,13/6).
Learn more about line segment at brainly.com/question/2437195
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The answer is a hopes this helps
can i get brainlesit
Answer:
The estimated age of the skull is 39118 years.
Step-by-step explanation:
The amount of the substance after t years is given by:

In which A(0) is the initial amount, and r is the decay rate.
The half-life of carbon-14 is about 5600 years.
This means that
. We use this to find r, or 1 - r, to replace in the equation. So



![\sqrt[5600]{(1-r)^{5600}} = \sqrt[5600]{0.5}](https://tex.z-dn.net/?f=%5Csqrt%5B5600%5D%7B%281-r%29%5E%7B5600%7D%7D%20%3D%20%5Csqrt%5B5600%5D%7B0.5%7D)


So

Only 2% of the original amount of carbon-14 remains in the burnt wood of the campfire.
This is t for which
. So







The estimated age of the skull is 39118 years.