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3 years ago

Solve the compound inequalities: −7x−10≤60 and x−7<−6

Mathematics

1 answer:

hoa [83]3 years ago

8 0

Answer:

x= [ -10, 1)

Step-by-step explanation:

Given

−7x−10≤60 and x−7<−6

Solving first one

−7x−10≤60
-7x ≤ 70
x ≥ -10

Solving second one

x−7<−6
x < 7 - 6
x < 1

Combined:

-10 ≤ x < 1

Interval

x= [ -10, 1)

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Answer:

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And for this case we can rewrite the model like this:

$\frac{dC}{C} = r dt$

If we integrate both sides we got:

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If we use exponentials for both sides we got:

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For this case $C_o = 100 mg$ and r = -0.16

So then our model would be given by:

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Where t represent the number of hours

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Step-by-step explanation:

Part a

For this case we can assume the proportional model given by:

$\frac{dC}{dt} = rC$

And for this case we can rewrite the model like this:

$\frac{dC}{C} = r dt$

If we integrate both sides we got:

$ln C = rt + k$

If we use exponentials for both sides we got:

$C = e^{rt} e^k = C_o e^{rt}$

For this case $C_o = 100 mg$ and r = -0.16

So then our model would be given by:

$C(t) = 100 e^{-0.16 t}$

Where t represent the number of hours

Part b

For this case we can replace the value t=5 into the model and we got:

$C(5) = 100 e^{-0.16*5}= 44.9329$

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Answer: is there suposed to be a symbol between the 2x and the 2?

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2 years ago

Is .634 rational number

Ksivusya [100]

Yes 0.634 is a rational number.
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2 years ago

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irga5000 [103]

Answer:

The kind of error the researcher has done is a;

Type I error

Step-by-step explanation:

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2 years ago

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tamaranim1 [39]

Answer:

Step-by-step explanation:

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2 years ago