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3 years ago

Solve the proportion: x/9 = 4/x

Mathematics

2 answers:

AfilCa [17]3 years ago

4 0

X 4
-- = -- =
9 x

x^2 = 36
x = 6

Marrrta [24]3 years ago

3 0

$\frac{x}{9}= \frac{4}{x} \\ x*x=9*4 \\ x^2=36 \\ x=б \sqrt{36} \\ x=б6$

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2(m-27n) this is the answer

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3 years ago

A typical cup of coffee contains about 100 mg of caffeine and every hour approximately 16% ofthe amount of caffeine inthe body i

Over [174]

Answer:

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

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

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

If we integrate both sides we got:

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If we use exponentials for both sides we got:

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

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So then our model would be given by:

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

Where t represent the number of hours

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

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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3 years ago

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Step-by-step explanation:trust me

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Arada [10]

Answer:

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Step-by-step explanation:

Here we have:

8^6 · 8³

-------------

8^5

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8^a·8^b = 8^(a+b), so the numerator is equivalent to 8^(6 + 3) = 8^9.

Now we have

8^9

------

8^5

and the appropriate rule for division here is

8^a / 8^b = 8^(a - b)

So our:

8^9

--------- 8^(9-5) = 8^4

8^5

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3 years ago

Solve for x in the equation x^2-14+31=63

Bingel [31]

To solve for a variable, you need to get it (x) by itself.

x² - 14 + 31 = 63 Add 31 to -14
x² + 17 = 63 Subtract 17 from both sides of the equation
x² = 46 Square root both sides
x = $\pm \sqrt{46}$

Check your work by plugging in $\sqrt{46}$ for x and then $- \sqrt{46}$ .

$\sqrt{46}$ ² - 14 + 31 = 63 Square $\sqrt{46}$
46 - 14 + 31 = 63 Subtract 14 from 46
32 + 31 = 63 Add
63 = 63

$- \sqrt{46}$ ² - 14 + 31 = 63 Square $- \sqrt{46}$
46 - 14 + 31 = 63 Subtract 14 from 46
32 + 31 = 63 Add
63 = 63

So, x is $\sqrt{46}$ and $- \sqrt{46}$ .

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3 years ago