Answer:
10 1
Step-by-step explanation:
Answer:

Step-by-step explanation:
The time constant for the isotope decay is:


Now, the decay of the isotope is modelled after the following expression:

The time is now cleared with some algebraic handling:


Finally, the time need for the element X to decay to 43 grams is:


Answer:
m∠8 = 30°
Step-by-step explanation:
Since line AB is parallel to line CD, and m∠4 = 30°, therefore:
m∠4 and m∠8 are corresponding angles.corewslinding angles are congruent.
Therefore, this means that their measure would be equal to each other, since they are congruent.
Thus:
m∠8 = 30°
The gradient theorem applies here, because we can find a scalar function <em>f</em> for which ∇ <em>f</em> (or the gradient of <em>f</em> ) is equal to the underlying vector field:

We have



where <em>C</em> is an arbitrary constant.
So we found

and by the gradient theorem,

Answer:
(2) 22
Step-by-step explanation:
In the given triangle MNP, the medians are straight lines drawn from the angle to opposite side so as to divide the side into equal parts.
PS = 8 and QS = 3, thus;
PS = NS = 8 (congruent property of ΔRSN and ΔQSP)
QS = SP = 3 (congruence property)
So that,
NQ = NS + SQ
= 8 + 3
= 11
PR = PS + SR
= 8 + 3
= 11
Thus;
NQ + PR = 11 + 11
= 22
Therefore, NQ + PR = 22