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3 years ago

Solve each proportion. 2/8=5/r+8

Mathematics

1 answer:

brilliants [131]3 years ago

6 0

Answer:

r=-20/31

Step-by-step explanation:

1)divide the numbers

2) subtract 8 from both sides of the equation

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Answer:

Step-by-step explanation:

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3 years ago

Use the exponential decay model, Upper A equals Upper A 0 e Superscript kt, to solve the following. The half-life of a certai

Akimi4 [234]

Answer:

It will take 7 years ( approx )

Step-by-step explanation:

Given equation that shows the amount of the substance after t years,

$A=A_0 e^{kt}$

Where,

$A_0$ = Initial amount of the substance,

If the half life of the substance is 19 years,

Then if t = 19, amount of the substance = $\frac{A_0}{2}$ ,

i.e.

$\frac{A_0}{2}=A_0 e^{19k}$

$\frac{1}{2} = e^{19k}$

$0.5 = e^{19k}$

Taking ln both sides,

$\ln(0.5) = \ln(e^{19k})$

$\ln(0.5) = 19k$

$\implies k = \frac{\ln(0.5)}{19}\approx -0.03648$

Now, if the substance to decay to 78% of its original amount,

Then $A=78\% \text{ of }A_0 =\frac{78A_0}{100}=0.78 A_0$

$0.78 A_0=A_0 e^{-0.03648t}$

$0.78 = e^{-0.03648t}$

Again taking ln both sides,

$\ln(0.78) = -0.03648t$

$-0.24846=-0.03648t$

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Hence, approximately the substance would be 78% of its initial value after 7 years.

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3 years ago

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Vlada [557]

Answer I think that it is x times 1 times 100= altitude.

Step-by-step explanation:

400/2= 200

but if you do it 700/6

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3 0

3 years ago

Read 2 more answers

2.5m to 150 cm <br>express these ratios in its simplest form.

oksano4ka [1.4K]

Answer:

The ratios in the simplest form is 5:3

Step-by-step explanation:

Given that:

2.5m to 150cm

We have to express these ratios in simplest form but we will convert the quantities into same unit first.

Therefore,

Converting meters into centimeters

1 meter = 100 cm

2.5 m = 100*2.5 = 250 cm

Ratio form;

250 cm : 150 cm

As both the number are multiples of 50,

$\frac{250}{50}:\frac{150}{50}\\5:3$

Hence,

The ratios in the simplest form is 5:3

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Step-by-step explanation:

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