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Yuliya22 [10]
3 years ago
8

Can someone help me

Mathematics
2 answers:
Musya8 [376]3 years ago
7 0
Question 1 = 33+42= 75
True [87]3 years ago
4 0

Answer:

Why is this long?

Step-by-step explanation:

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Element X is a radioactive isotope such that every 30 years, its mass decreases by half. Given that the initial mass of a sample
Lena [83]

Answer:

19.3 years

Step-by-step explanation:

Given that the initial mass of a sample of Element X is 100 grams,

The formula is given as:

N(t) = No × (1/2) ^t/t½

Element X is a radioactive isotope such that every 30 years, its mass decreases by half.

N(t) = Mass after time (t)

No = Initial mass = 100 grams

t½ = Half life = 30 grams

N(t) = 100 × (1/2) ^t/30

How long would it be until the mass of the sample reached 64 grams, to the nearest tenth of a year?

This means we are to find the time

N(t) = 100 × (1/2) ^t/30

N(t) = 64 grams

64 = 100(1/2)^t/30

Divide both sides by 100

64/100 = 100(1/2)^t/30/100

0.64 = (1/2)^t/30

Take the Log of both sides

log 0.64 = log (1/2)^t/30

log 0.64 = t/30(1/2)

t = 19.315685693242 years

Approximately = 19.3 years

8 0
2 years ago
A copy machine makes 165 copies in three minutes and 45 seconds how many copies of them make per minute
NNADVOKAT [17]

So we just divide 165 by 3.75 to get 44 copies per minute.

4 0
3 years ago
Read 2 more answers
Evaluate the integral using the indicated trigonometric substitution. (use c for the constant of integration.) x^3 / sqrt x^2 +
slava [35]
\displaystyle\int\frac{x^3}{\sqrt{x^2+49}}\,\mathrm dx

Taking x=7\tan\theta gives \mathrm dx=7\sec^2\theta\,\mathrm d\theta, so that the integral becomes

\displaystyle\int\frac{(7\tan\theta)^3}{\sqrt{(7\tan\theta)^2+49}}(7\sec^2\theta)\,\mathrm d\theta
=\displaystyle7^4\int\frac{\tan^3\theta\sec^3\theta}{\sqrt{49\tan^2\theta+49}}\,\mathrm d\theta
=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{\sqrt{\tan^2\theta+1}}\,\mathrm d\theta
=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{\sqrt{\sec^2\theta}}\,\mathrm d\theta
=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{|\sec\theta|}\,\mathrm d\theta

When \sec\theta>0, we have

=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{\sec\theta}\,\mathrm d\theta
=\displaystyle7^3\int\tan^3\theta\sec^2\theta\,\mathrm d\theta

and from here we can substitute u=\tan\theta to proceed from here.

Quick note: When we set x=7\tan\theta, we are implicitly enforcing -\dfrac\pi2 just so that the substitution can be undone later via \theta=\tan^{-1}\dfrac x7. But note that over this domain, we automatically guarantee that \sec\theta>0, so the absolute value bars can be dropped immediately.
6 0
3 years ago
reorder the numbers and combine like terms to simplify 4.5+2 1/2 +6.0-5 1/2 is it A. -7.5 B. 7 C.7.5 or D.8.5​
DerKrebs [107]

Answer:

I believe its C

Step-by-step explanation:

I added them up lol

6 0
3 years ago
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John wants to create a line of dominoes 18 inches long with each domino spaced 1 1/2 in.apart.how many dominoes will he need
AysviL [449]

Answer:

12

Step-by-step explanation:

if the line is 18 inches long and a 1.5 space apart then u divide them and 18 divided by 1.5 is 12

7 0
3 years ago
Read 2 more answers
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