ha328

02.03.2021 •

Mathematics

. Suppose the amount of radioactive substance remaining in a 100 milligram sample after t years can be modeled by = 100
−0.01653
. How much is remaining after 24 years?

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Ответ:

bfredfred1737

29.01.2023

Mathematics

y=-5

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The diagonals of a rectangle are equal and bisect each other

$BP=\frac{1}{2}AC$

DP=BP

step 1

Find the value of x

$BP=\frac{1}{2}AC$

substitute the given values

$(-9x+19)=\frac{1}{2} (-x+21)$

solve for x

Multiply by 2 both sides

-18x+38=-x+21

$18x-x=38-21\\17x=17\\x=1$

step 2

Find the value of y

DP=BP

we have

BP=-9x+19

DP=-y+5

substitute

-y+5=-9x+19

substitute the value of x

$-y+5=-9(1)+19\\-y+5=10\\y=5-10\\y=-5$

In rectangle abcd, ac = -x + 21, bp = -9x + 19, and dp = -y + 5. find the value of y.

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. Suppose the amount of radioactive substance remaining in a 100 milligram sample after t years can be modeled by = 100 −0.01653 . How much is remaining after 24 years?