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gogolik [260]
2 years ago
13

PLEASE SOLVE FOR X AND Y!!!! I WILL MARK BRAINLIEST!!!!

Mathematics
1 answer:
natima [27]2 years ago
4 0

opposite sides and diagonals of a parallelogram are equal

+ diagonals of a parallelogram meet eachother in the middle so:

10x+14=x+77

10x-x=77-14

9x=63

x=63÷9

x= 7

y+8=4y-19

y-4y=-19-8

-3y=-27

y=-27÷-3

y=9

2z+3=37

2z=37-3

2z=34

z=34÷2

z=17

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The initial size of the population is 300. After 1 day the population has grown to 800. Estimate the population after 6 days. (R
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Given initial population = 300

Final population after 1 day = 800

Number of days = 6

∴ $\frac{dP}{dt} =kt^{1/2} $

P(0) = 300    P(1) = 300

We need to find P(8).

$dP = kt^{1/2} dt$

$ \int 1 dP = \int kt^{1/2} dt$

$P(t) = k \left(\frac{t^{3/2}}{3/2}\right)+c$

$P(t)= \frac{2k}{3}t^{3/2} + c$

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$300 = \frac{2k}{3} (0)^{3/2} + c$

∴ c = 300

∴ $P(t)= \frac{2k}{3}t^{3/2} + 300$

When P(1) = 800

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$500 = \frac{2k}{3}$

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$P(t)= 500t^{3/2} + 300$

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$P(t)= 500(8)^{3/2} + 300$

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