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2 years ago

How many more days until 04-20-2069? For... school reasons....

Mathematics

2 answers:

Ymorist [56]2 years ago

8 0

Answer:

49.36 years

i needed this info as well... for school of course....

jeka942 years ago

4 0

Answer:

The answer is 18,019 days.

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

1.) p^2+14p-38=0<br> what the vertex?

Lelu [443]

Answer:

vertex = (- 7, - 87)

Step-by-step explanation:

given a parabola in standard form : ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

$x_{vertex}$ = - $\frac{b}{2a}$

p² + 14p - 38 is in standard form

with a = 1, b = 14, c = - 38, hence

$x_{vertex }$ = - $\frac{14}{2}$ = -7

substitute x = - 7 into the equation for corresponding value of y

y = (- 7)² + 14(- 7) - 38 = 49 - 98 - 38 - - 87

vertex = (- 7, - 87)

3 0

2 years ago

The first term in a sequence of numbers is 1/2

Andrei [34K]

Answer:

The correct answer is C. The 4th term is 11.

Step-by-step explanation:

Since the next term is one more than twice the previous, we can calculate it by the following expression:

$a_{n} = 2*a_{n-1} + 1$

So the second term is:

$a_2 = 2*\frac{1}{2} + 1\\a_2 = 2$

The third term:

$a_3 = 2*2 + 1\\a_3 = 5$

And the fourth term:

$a_4 = 2*5 + 1\\a_4 = 10 + 1 = 11$

The correct answer is C. The 4th term is 11.

7 0

2 years ago

The causes of land pollutions are

Sergeu [11.5K]

Answer:

Step-by-step explanation:

Pollution can be defined as the introduction of harmful substances (man-made or natural) into the environment.

There are four major types of pollution:

1. Land pollution

2. Water pollution

3. Air pollution

4. Noise pollution

Land pollution refers to the gradual disintegration of the earth surface.

Causes of land pollution

1. Deforestation: The continuous cutting down of trees in the forest.

2. Erosion: The gradual disintegration of soil caused by the action of water.

3. Harmful agricultural practices such as bush burning, introducing toxic substances such as pesticides into the soil

4. Increased industrial waste due to increase in the number of industries

5. Mining of natural resources from the earth surface

6. Construction of bridges, railways and roads

5 0

2 years ago

Substitute the given values into the formula and solve for the unknown variable. If necessary, round to one decimal place

Stells [14]

Answer:

4=H

Step-by-step explanation:

H is unknown

180=4x7x5+2x5xH

180=140+10H

40=10H

4=H

7 0

2 years ago