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2 years ago

Which equation has a constant of proportionality equal to 3333?

Mathematics

2 answers:

muminat2 years ago

7 0

Answer:B

Step-by-step explanation:

y=13xy=\dfrac{1}{3}xy=31xy, equals, start fraction, 1, divided by, 3, end fraction, x

Oduvanchick [21]2 years ago

5 0

Answer:

y = 18/6 x

Step-by-step explanation:

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A storage tank contains a liquid radioactive element with a half-life of 96 years. It will be relatively safe for the contents t

PolarNik [594]

Answer:

The tank must remain intact for 1183 years.

Step-by-step explanation:

Exponential equation for decay:

The amount of a substance after t years is given by:

$A(t) = A(0)e^{rt}$

In which A(0) is the initial amount and r is the decay rate.

A storage tank contains a liquid radioactive element with a half-life of 96 years.

This means that $A(96) = 0.5A(0)$ , and we use this to find r.

$A(t) = A(0)e^{rt}$

$0.5A(0) = A(0)e^{96r}$

$e^{96r} = 0.5$

$\ln{e^{96r}} = \ln{0.5}$

$96r = \ln{0.5}$

$r = \frac{\ln{0.5}}{96}$

$r = -0.0072$

$A(t) = A(0)e^{-0.0072t}$

It will be relatively safe for the contents to leak from the tank when 0.02% of the radioactive element remains. How long must the tank remain intact for this storage procedure to be safe?

This is t for which $A(t) = 0.0002A(0)$ . So

$A(t) = A(0)e^{-0.0072t}$

$0.0002A(0) = A(0)e^{-0.0072t}$

$e^{-0.0072t} = 0.0002$

$\ln{e^{-0.0072t}} = \ln{0.0002}$

$-0.0072t = \ln{0.0002}$

$t = -\frac{\ln{0.0002}}{0.0072}$

$t = 1183$

The tank must remain intact for 1183 years.

5 0

2 years ago

A sequence has the recursive rule f(n)=2f(n-1). The first term of the sequence is 7. Write the first 3 terms of the sequence

alina1380 [7]

The rule says each term is double the previous one. Your terms are ...

... 7, 14, 28

8 0

3 years ago

OF bisects EOF. EOF=y+30 and FOG=3y-50. solve for y.

Alexeev081 [22]

It always helps to draw a picture. Given the information, Segment OF is the center line that is bisecting this angle.

Since it's bisecting (cutting in half)... we can simply set the two angles equal to each other.

y+30=3y-50
-2y+30=-50
-2y=-80
y = 40

C)40.

3 0

2 years ago

Factor <br><br> LaTeX: 7v^2+31v+12

bazaltina [42]

Answer:

(7v +3 ) ( v + 4 )

Step-by-step explanation:

7v^2+31v+12

(7v + ) ( v + )

12 = 1*12

2*6

3*4