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Aliun [14]
3 years ago
12

Help me pls I don’t know how to do this

Mathematics
1 answer:
rusak2 [61]3 years ago
6 0

Answer:

radius=6.68cm

Step-by-step explanation:

Formula to find radius:

r=\frac{C}{2\pi }

r=42/2\pi

r=42/2(3.14)

r=6.68cm

<em>hope this helps......</em>

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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
How do I find the missing values to .. (4,y) and (0,5) m = 3 over 4​
Aleks04 [339]

Answer:

(4,3) (4,5)

Step-by-step explanation:

7 0
3 years ago
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Kristy is making a rectangular quilt that is 2 feet longer than it is wide. If the perimeter of the quilt is to be 32 feet, what
lara [203]
Huhvffghgcddtujgffyjbfghj
7 0
3 years ago
Someone please help me I’ll give out brainliest please dont answer if you don’t know
sasho [114]

Answer:

$56.25

Step-by-step explanation:

3% of 750, then multiply by 2.5

6 0
3 years ago
Deon has to buy all the butter she needs to make 60 biscuits. She buys the butter in 250 g packs. (b) How many packs of butter d
Vikki [24]

Answer:

200g of sugar, 600g of flour, 400g of butter

Step-by-step explanation:

50g sugar = 15 biscuits

3 x 50g = flour --) 150g = flour

2 x 50g = butter --) 100g = butter

60/15 = 4; 4 times as much

4 x 50g = 200g of sugar

4 x 150g = 600g of flour

4 x 100g = 400g of butter

                                                                                                           

                                                                                                       

7 0
3 years ago
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