Answer:
27000
Step-by-step explanation:
We want to round 27346 to 2 significant figures.
Now, the number already has 5 significant figures, so to reduce it to 2 sig figures, we will have to reduce the 3 digits from the right to zero so that we can have just 2 significant figures by approximating.
Thus, 3 is less than 5 and so 7 cannot increase. Thus, we will have 27000 as the number when reduced to 2 significant figures.
Answer:
68
Step-by-step explanation:
Answer:
M(t) = 400•(0.79)^t
Step-by-step explanation:
As we can see, the change in mass is not uniform linearly
So it will be better if we used an exponential representation
The general form for an exponential representation is:
M(t) = I(1-r)^t
where r is the rate of decay, I is the initial value and t is the time in weeks with M(t) being the mass
Let us use any two points on the table
Thus, we have it that;
50 = 400(1-r)^9 •••••(i)
201 = 400(1-r)^3 •••••(ii)
divide i by ii
50/201 = (1-r)^6
0.249 = (1-r)^6
1-r = 6√0.249
1-r = 0.79
r = 1-0.79
r = 0.21
So the exponential equation is;
M(t) = 400•0.79^t
First, rearrange the quadratic equation:
5x² + 9x - 4 = 0
Now, compare it to the general quadratic equation:
a<span>x² + bx + c = 0
Therefore you get:
a = +5
b = +9
c = -4
And the quadratic formula will be:
x = [-b +/- </span>√(b² - 4ac)] / 2a
= [ -5 +/- √(81 - 4·5·(-4))] / 2·5
= (-5 +/- √161) / 10