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3 years ago

Help with #7 and #8?

Mathematics

1 answer:

arsen [322]3 years ago

5 0

Answer:

M(6,5) and G(2,9)

Step-by-step explanation:

$m = ( \frac{x1 + x2}{2}, \frac{y1 + y2}{2} )$

B(3,6)

C(9,4)

m = [(3+9)/2 , (6+4)/2]

= (6,5)

M(5,9)

H(8,9)

G(x,y)

[(x+8)/2 , (y+9)/2]=(5,9)

(x+8)/2 = 5

x+8 = 10

x = 2

(y+9)/2 = 9

y+9 = 18

y = 9

G(2,9)

(Correct me if i am wrong)

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A detective finds a victim of murder at 9 am. At that time, the temperature of the body is 90.3 degrees F. One hour later, the b

LekaFEV [45]

Answer:

Step-by-step explanation:

Given

at 9 am temperature of the body is $90.3^{\circ}F$

1 hr later temperature $89^{\circ}F$

Temperature of room $T=68^{\circ}F$

According to newtons law

$\frac{\mathrm{d} T}{\mathrm{d} t}=-k\left ( T-T_{room}\right )$

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Integrating

$=\int \frac{dT}{T-68}=-kdt$

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At 10 am i.e. t=1 hr T=89

$89-68=22.3e^{-k}$

$e^{-k}=21$

$k=0.06006$

Temperature of Normal human body is $T=98.6 ^{\circ}F$

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Taking log both sides

$t=-5.27$

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3 years ago

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Ymorist [56]

Answer:

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Step-by-step explanation:

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2 years ago

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Sindrei [870]

Answer:

$P(Age\ 12) = \frac{2}{3}$

Step-by-step explanation:

Given

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Simplify

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