How many steps did all of Sweatcoin users take in total during first 5 months of y2022 ?

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

8. Find all the real fourth roots of 256

mezya [45]

X^4=256
x^4-256=0
(x^2)^2-(16)^2=0
(x^2+16)(x^2-16)=0
either x^2+16=0
it gives complex roots.
or x^2-16=0
or x^2-4^2=0
(x+4)(x-4)=0
either x+4=0,x=-4
or x-4=0
x=4

7 0

3 years ago

Im honestly so confused about this PLEASE help me just give me the right answers plz plz

GREYUIT [131]

Answer:

Step-by-step explanation:

1. is 0.125x – 3.375

2. 0.6x – 5

3. 0.89x-5

Just use a slope calculator and desmos to see if your answer is right. Also a rounding calculator if the answer for one is too long, example: the third one said 0.88888888888889 for the first number so i rounded that to 0.89 to make sure it doesnt look like a computer did it

4 0

2 years ago

McDonald's sells about 150 hamburgers every 3 seconds. How many seconds will it take McDonald's to sell 6,400 hamburgers

lawyer [7]

Answer:

6250

Step-by-step explanation:

Hope the answer is correct.

3 0

2 years ago

To simplify -36 = (2)(3) 2 + 5, we first

velikii [3]

Answer:

Step-by-step explanation:

We use formula of BODMAS we starting by removing blackets by multiply (2)(3)and w get 6 and then by 2 we get 12 and add by 5 we get 17 and cross 17 to -36 and 17 change to -17 and then take -17-36=-53..

-36=(2)(3)2+5

-36=(6)2+5

-36=12+5

-36=17

-17-36

=-53

4 0

3 years ago

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