Answer:
The substance half-life is of 4.98 days.
Step-by-step explanation:
Equation for an amount of a decaying substance:
The equation for the amount of a substance that decay exponentially has the following format:
In which k is the decay rate, as a decimal.
k-value of 0.1392.
This means that:
Find the substance's half life, in days.
This is t for which 
. So
The substance half-life is of 4.98 days.
Answer:
angle 3. ( x ) is 136°
angle 4 ( y ) is 44° !!
Step-by-step explanation:
Let angle 3 be x and angle 4 be y
Given, Angle 3 and angle 4 form a linear pair
x + y = 180 [ sum of linear pair angle is 180 ] ... ( i )
Also, The measure of Angle 3 is four more than three
The measure of Angle 3 is four more than threetimes the measure of angle 4.
x = 4 + 3y .... ( ii )
Putting value of x from ( ii ) in ( i )
4 + 3y + y = 180
4y = 176
y = 44
Also, x + y = 180 => x = 180 - 44 = 136
the question says that the samples included 100 people each, so it's just 100 multiplied by the amount of samples:
7×100=700
The transformation which is represented is a 180 degree rotation about the origin
These are the steps, with their explanations and conclusions:
1) Draw two triangles: ΔRSP and ΔQSP.
2) Since PS is perpendicular to the segment RQ, ∠ RSP and ∠ QSP are equal to 90° (congruent).
3) Since S is the midpoint of the segment RQ, the two segments RS and SQ are congruent.
4) The segment SP is common to both ΔRSP and Δ QSP.
5) You have shown that the two triangles have two pair of equal sides and their angles included also equal, which is the postulate SAS: triangles are congruent if any pair of corresponding sides and their included angles are equal in both triangles.
Then, now you conclude that, since the two triangles are congruent, every pair of corresponding sides are congruent, and so the segments RP and PQ are congruent, which means that the distance from P to R is the same distance from P to Q, i.e. P is equidistant from points R and Q
