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Oksi-84 [34.3K]

2 years ago

15

Angles A and B are complementary. Two separate angles are shown. Angle A is (x + 22) degrees. Angle B is x degrees. What is the

value of x? 34 56 68 79

2 answers:

HACTEHA [7]2 years ago

8 0

Answer: 34

Step-by-step explanation:

(x+22) + x = 90

kicyunya [14]2 years ago

6 0

Answer:

34

Step-by-step explanation:

edg 2020

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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

2 years ago

The Boardman family walked two over five of a mile in two over seven of an hour. What is their unit rate in miles per hour?

hichkok12 [17]

If the family walked 2/5 of a mile in 2/7 of an hour their MPH would be 2.8mph

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2 years ago

In the lab, Alonzo has two solutions that contain alcohol and is mixing them with each other. Solution A is 6% alcohol and Solut

ioda

Answer:

200 mL

Step-by-step explanation:

If x is the volume of solution B:

0.06 (500) + 0.20 x = 0.10 (500 + x)

30 + 0.20 x = 50 + 0.10 x

0.10 x = 20

x = 200

4 0

2 years ago

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Greatest common factor in 8 and 14

Helen [10]

Try it like this. it may help: Make it like a rainbow. Find out what all can go into 8 and 14. So kinda like this.

1,2 4 ,8

then just connect it, like a rainbow, hence the name.

Hope that helped!

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2 years ago

The factorial 4! is equal to _______.<br><br> This is about permutations btw.

bekas [8.4K]

Answer:

24

Step-by-step explanation:

factorial(4) = 4*3*2*1

factorial(4) = 24

8 0

2 years ago

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