To solve this we are going to use the half life equation
Where:
is the initial sample
is the time in years
is the half life of the substance
is the remainder quantity after
years
From the problem we know that:
Lets replace those values in our equation to find
:
We can conclude that after 1600 years of radioactive decay, the mass of the 100-gram sample will be
91.7 grams.
By definition, two angles are supplementary if the sum of them is 180 degrees. In this case (see figure attached with the answer) the line AD is transversal to lines AB and DC. This is a proof of the Same-side interior angle theorem.
This theorem states that if we have two lines that are parallel and we intercept those two lines with a line that is transversal to both, same-side interior angles are formed, and also sum 180º, in other words, they are supplementary angles.
Then:
By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are <em><u>same-side interior angles</u></em>. Because AB and DC are <em><u>parallel</u></em>, the same-side interior angles must be <em><u>supplementary</u></em> by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.
Answer:
D
Step-by-step explanation:
This is your answer because first you have 3x10-6 and 2x1030 what you have to do is that first you multiply 3 x 2 equals to 6 then, 10 x 1 = 10 then you have to multiply 30 x 6 = 180 then you put it together and your answer is 6x10-180
Hope this helps :)
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Start with hours worked 6 x $9 = 54
Then commission $700 x 0.12 (12% converted to a decimal) = $84
Add up 54 + 84 = $138 total income
So answers are A, the first C (you make $84 in commission), and the last one, you make $138 in total.
Answer: B. 2/3; 1
Use the slope-intercept form y = m x + b to find the slope m and y-intercept b
.
Slope:
(2)
/(3)
y-intercept:
(
0
, 1
)
Step-by-step explanation:
Find the slope and y-intercept of the equation. y = (2)/(3)x + 1
Find the Slope and y-intercept
