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2 years ago

8

3x -y =6 solve for x

1 answer:

Oduvanchick [21]2 years ago

4 0

Answer: the answer is

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.

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

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

$e^{96r} = 0.5$

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

$96r = \ln{0.5}$

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

$r = -0.0072$

So

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

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

3 years ago

Compare using>,<or=

ollegr [7]

1. 80 ounces = 5 pounds and 8 pounds = 128 ounces so (8>80)
2. 3 pounds = 48 ounces and 50 ounces = 3.1 pounds so (3<50)

3 0

3 years ago

Read 2 more answers

12n²-4mn<br> factorise completely

Taya2010 [7]

Answer:

4n (3n - m)

Step-by-step explanation:

See what they both have, pull it to the outside, put what is left inside.

4n (3n - m)

8 0

3 years ago

Sabrina has designed a rectangular painting that measures 65 feet in length and 30 feet in width. Alfred has also designed a rec

liubo4ka [24]

Answer:

1674 ft²

Step-by-step explanation:

Area S = 65*30

Area A = (65 - x)(30 - x) = (65 - 3)(30 - 3) = 62*27= 1674 ft²

3 0

3 years ago

D<br> الا<br> 3x+3<br> 4x+2<br> Determine the value of mZDCB.

Anvisha [2.4K]

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

The given Angles (4x + 2) and (3x + 3) are forming linear pair, so

$4x + 2 + 3x + 3 = 180$

$7x + 5 = 180$

$7x = 180 - 5$

$7x = 175$

$x = \dfrac{175}{7}$

$x = 25$

now, let's find Angle DCB :

$3x + 3$

$(3 \times 25) + 3$

$75 + 3$

$78 \degree$

8 0

3 years ago