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saul85 [17]
2 years ago
6

A radioactive material has a half life of 10 years. What is the fraction of the initial isotope is left after 60 years

Mathematics
1 answer:
jeka57 [31]2 years ago
3 0

Answer:

1/2^6 = 1/64

Step-by-step explanation:

Half life = 10 years

Time = 60 years

No of half life = T/t

= 60 / 10 = 6

Remaining fraction = 1/2^(no of half life)

= 1/2^6

= 1/64

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Megan has a piece of fabric which is a right triangular shape. The length of leg 1 is 4 m. The length of the other leg is twice
Bess [88]

Answer:

8.94 m

Step-by-step explanation:

Use the Pythagorean Theorum - a^2 + b^2 = c^2. Use leg 1 as <em>a</em>, leg 2 as <em>b</em>, and the third side as <em>c</em>.

We know leg 1 is 4, and that leg 2 is twice as long as leg 1...

(4)^2 + (4*2)^2 = c^2

Now, we use the Order of Operations to find c^2...

4^2+8^2=c^2\\16+64=c^2\\80=c^2

Now, we find the square root of c^2 to find c...

\sqrt{80} =8.94

So, the length of the third side is 8.94 m.

8 0
3 years ago
Use the interactive protractor to determine the measure of the angle. what is manglejhg? 70° 75° 110° 115°
DanielleElmas [232]

Using the interactive protractor, the measure of the angle JHG is 115°

<h3>How to determine the measure of the angle?</h3>

The image that completes the question is added as an attachment.

The question requests that we determine the measure of JHG using a protractor.

To do this, we set one end of the protractor at 0°.

Then, we take the measurement of the other end

Using the interactive protractor, the other end stops at 115°

Hence, the measure of the angle JHG is 115°

Read more about angles at:

brainly.com/question/24839702

#SPJ1

5 0
1 year ago
Zenin earns $142 per shift at his new job. During a pay period, he works 12 shifts. What would his pay be for that period?
Degger [83]

Answer:

total pay for his work is $1704

Step-by-step explanation:

given data

Zenin earns =  $142 per shift

total shifty = 12

to find out

What would his pay for 12  shift

solution

we have given per shift charge and total shift

so

total pay for his work = total shift × per shift charge    ................1

put here value

total pay for his work = 12 × $142

total pay for his work = $1704

3 0
3 years ago
Christian’s Gym charges a one-time fee of $50 plus $30 per session for a personal trainer.
nydimaria [60]

Answer: For 10 sessions, the cost of the two plans the same.

Step-by-step explanation:

Let x= Number of sessions.

Given: Christian’s Gym charges a one-time fee of $50 plus $30 per session for a personal trainer.

Total charge for x sessions = 50+30x

Nicole's fitness center charges a yearly fee of $250 plus $10 for each session with a  trainer.

Total charge for x sessions = 250+10x

When both plan charges the same, then

50+30x=250+10x\\\\\Rightarrow\ 30x-10x=250-50\\\\\Rightarrow\ 20x=200\\\\\Rightarrow\ x=10

i.e. For 10 sessions, the cost of the two plans the same.

3 0
3 years ago
12
adoni [48]

Answer:

i don't know sorry

Step-by-step explanation:

3 0
2 years ago
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