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andreev551 [17]
2 years ago
15

Element X decays radioactively with a half life of 9 minutes. If there are 890 grams of Element X, how long, to the nearest tent

h of a minute, would it take the element to decay to 238 grams?
Mathematics
1 answer:
elena-s [515]2 years ago
3 0

Answer:

13.18651685

13.9

Explain:

890-238=652
652/890=0.7325842697 (Find out the percentage)

We know that 1 gram of Element X will be fully decayed in 18 minutes and half of it in 9 minutes.

0.7325842697x18=13.18651685

As you see 18/13.18651685 will equal to 18 (not exactly since it is rounded)

And of course we need to round it to nearest tenth. So the answer would be 13.9!

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Solve the equation for x.<br> 3x + 11 – X + 23 = 4
avanturin [10]

Answer:

x = -15

Step-by-step explanation:

3×+34-×=4

2×+34=4

2×+34-34=4-34

2×=4-34

2×= -30

2×/2=-30/2

×= -15

5 0
3 years ago
Find f(x) and g(x) so that the function can be described as y = f(g(x)).<br><br> y = 4/x^2+9
dlinn [17]

I'm assuming all of (x^2+9) is in the denominator. If that assumption is correct, then,

One possible answer is f(x) = \frac{4}{x},  \ \ g(x) = x^2+9

Another possible answer is f(x) = \frac{4}{x+9}, \ \ g(x) = x^2

There are many ways to do this. The idea is that when we have f( g(x) ), we basically replace every x in f(x) with g(x)

So in the first example above, we would have

f(x) = \frac{4}{x}\\\\f( g(x) ) = \frac{4}{g(x)}\\\\f( g(x) ) = \frac{4}{x^2+9}

In that third step, g(x) was replaced with x^2+9 since g(x) = x^2+9.

Similar steps will happen with the second example as well (when g(x) = x^2)

4 0
3 years ago
What is the area of this composite shape?
grin007 [14]

Answer c: c

Step-by-step explanation:

c

8 0
3 years ago
James buys 2 4/5 kilograms of red potatoes. He buys yellow potatoes that weigh 3/4 as much as the red potatoes.
Illusion [34]

Answer:

Step-by-step explanation:

2 4/5 kg” would equal as a whole number 14/5 kgs, or 2.8, divided by 3/4’s would be 2.1 kgs.

As a mixed number there would be 2 1/10’s.

2 1/10.

8 0
2 years ago
The owners of an eyeglass store claim that they fill customers' orders, on average, in 60 minutes with a standard deviation of 1
melomori [17]

By applying z-score formula we got that if a reporter determines a mean order time of 63 minutes then value o Z is 1.19

<h3>What is standard deviation?</h3>

Standard deviation is a number used to tell how measurements for a group are spread out from the average (mean), or expected value

Here given that

The owners of an eyeglass store claim that they fill customers' orders, on average, in 60 minutes with a standard deviation of 15. 9 minutes. Based on a random sample of 40 orders, a reporter determines a mean order time of 63 minutes

mean=μ=60

standard deviation=σ=15.9

number of sample=n=40

\bar{x}=63 \\

Now we can calculate z by z-score formula as

z=\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}}}  \\\\&=\frac{63-60}{\frac{15 \cdot 9}{40}} \\ \\=\frac{3}{2.5140} \\ \\=1.19\end{aligned}

By applying z-score formula we got that if a reporter determines a mean order time of 63 minutes then value o Z is 1.19

To learn more about standard deviation visit :brainly.com/question/12402189

5 0
2 years ago
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