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MakcuM [25]
4 years ago
15

If x players are divided into teams of 8, how many teams are there

Mathematics
1 answer:
Semenov [28]4 years ago
6 0

Answer:

Each team has 8 players. That means that the x players will be separated into x / 8 teams.

Hope this helps!

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The half-life of a radioactive substance is the time it takes for a quantity of the substance to decay to half of the initial am
posledela

Step-by-step walkthrough:

a.

Well a standard half-life equation looks like this.

N = N_0 * (\frac{1}{2})^{t/p

N_0 is the starting amount of parent element.

N is the end amount of parent element

t is the time elapsed

p is a half-life decay period

We know that the starting amount is 74g, and the period for a half-life is 2.8 days.

Therefore you can create a function based off of the original equation, just sub in the values you already know.

N(t) = 74g * (\frac{1}{2})^{t/2.8days

b.

This is easy now that we have already made the function. Here we just reuse it, but plug in 2.8 days.

N(t) = 74g * (\frac{1}{2})^{t/2.8days} = N(2.8days) = 74g * (\frac{1}{2})^{2.8days/2.8days}\\= 74g * \frac{1}{2}  =  37g

c.

Now we just gotta do some algebra. Use the original function but this time, replace N(t) with 10g and solve algebraically.

10g = 74g * (\frac{1}{2})^{t/2.8days}\\\\\frac{10g}{74g} = (\frac{1}{2})^{t/2.8days}

Take the log of both sides.

log(\frac{5}{37}) = log((\frac{1}{2})^{t/2.8days})

Use the exponent rule for log laws that, log(b^x) = x*log(b)

log(\frac{5}{37}) = \frac{t}{2.8days} * log(\frac{1}{2})

\frac{log(\frac{5}{37})}{log(\frac{1}{2})}  = \frac{t}{2.8days}

2.8 * \frac{log(\frac{5}{37})}{log(\frac{1}{2})}  = t

slap that in your calculator and you get

t = 8.1 days

7 0
2 years ago
The volume of a cylinder is 9080 in.³ the same height of the cylinder is 20 inches what is the radius of the cylinder express yo
insens350 [35]

Answer:

12.02 inches

Step-by-step explanation:

recall, volume of a cylinder is given by

V = πr²h

where r is the radius of the cylinder and h = the height

hence

9080 = π x r² x 20

r² = 9080 ÷ 20π = 144.513

r = √144.513 = 12.02 inches

7 0
3 years ago
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What is the value of x in the proportion x + 1 / x+3 = 15/ 21<br> a.4<br> b.1/3<br> c.1/4<br> d.3
lesantik [10]
<span>What is the value of x in the proportion x + 1 / x+3 = 15/ 21
a.4
b.1/3
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the answer is            
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3 0
3 years ago
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A k out of n system is one in which there is a group of n components, and the system will function if at least k of the componen
kotykmax [81]

Answer:

bbb

St  bep-by-step explanation:

jj

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3 years ago
Describe the differences and<br> similarities between the following<br> y = 2x – 3 and y &lt; 2x – 3
mina [271]

Answer:

Y = -2x and Y = |-2x| correct me

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