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2 years ago

Find the solution set for this equation y^2+7y=0

Mathematics

1 answer:

Olenka [21]2 years ago

5 0

Answer:

Step-by-step explanation:

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A scientist begins with 250 grams of a radioactive substance. After 250 minutes, the sample has decayed to 32 grams. Rounding to

s2008m [1.1K]

Answer:

Part 1 : $A=250 e^{-0.008223t}$

Part 2 : Half life is 84 minutes ( approx )

Step-by-step explanation:

Part 1 : Suppose the function that shows the amount( in grams ) of the substance after t minutes,

$A=A_0 e^{kt}$

If t = 0 min, A = 250 grams,

$250=A_0 e^{0}$

$\implies A_0 = 250$

If t = 250, A = 32 grams,

$32 = A_0 e^{250k}$

$32 = 250 e^{250k}$

$0.128 = e^{250k}$

Taking ln both sides,

$\ln(0.128) = 250k$

$\implies k =\frac{\ln(0.128)}{250}=-0.008223$

Hence, the equation that shows this situation,

$A=250 e^{-0.008223t}$

Part 2 : If A = 250/2 = 125,

$125 = 250 e^{-0.008223t}$

$0.5 = e^{-0.008223t}$

Taking ln both sides,

$\ln(0.5) = -0.008223t$

$\implies t =\frac{\ln(0.5)}{-0.008223}\approx 84$

Therefore, the half life of the substance would be 84 minutes.

8 0

3 years ago

Please help ME PLEASEEE

saw5 [17]

Answer:

3x² + 2x + 3 / b

Step-by-step explanation:

This is the correct answer. Hope this helps

5 0

1 year ago

The formula for the volume of a sphere is v= 4/3 3.14rWhat is the formula solved for r?

prohojiy [21]

Answer:

$r = \frac{3}{4\pi}V$

Step-by-step explanation:

First, the formula for the volume of a sphere is:

$V = \frac{4}{3}\pi r^3$

$\frac{3}{4}V = \pi r^3$

$\frac{3}{4}V\frac{1}{\pi} = r^3$

$r^3 = \frac{3}{4\pi}V$

$r = \sqrt[\leftroot{-2}\uproot{2}3]{\frac{3}{4\pi}V}$

<u><em>If there is any steps you are unsure of, feel free to ask in the comments.</em></u>

6 0

2 years ago

Algebra 1 IMPORTANT

babymother [125]

Answer:

Step-by-step explanation:

Subtract 1.6 from the height each hour and it shows that the answers match the height each hour.

5 0

2 years ago

Write an equation of a line wit the given slope and y intercept

Orlov [11]

Answer:

Step-by-step explanation:

the standard equation of a line is in the form y=mx+b where m is the slope and b is the y intercept so if m = 1/4 and b = -3/4 you can just replace those spots giving you y=1/4x+-3/4

6 0

3 years ago