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serg [7]
3 years ago
9

What is the eighth term in the pattern 2,10, 18,26,

Mathematics
1 answer:
Oksana_A [137]3 years ago
5 0
The 8th character would be 58
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Need the answer plzz
Dmitrij [34]

Answer:

20 \times 11.5 + 20 \times 11.75 + 20 \times 11.5 + 20 \times 11.75 + 2 \times (11.75 \times 11.5) \\  = 1200.25 {in}^{2}

8 0
3 years ago
the half-life of chromium-51 is 38 days. If the sample contained 510 grams. How much would remain after 1 year?​
madam [21]

Answer:

About 0.6548 grams will be remaining.  

Step-by-step explanation:

We can write an exponential function to model the situation. The standard exponential function is:

f(t)=a(r)^t

The original sample contained 510 grams. So, a = 510.

Each half-life, the amount decreases by half. So, r = 1/2.

For t, since one half-life occurs every 38 days, we can substitute t/38 for t, where t is the time in days.

Therefore, our function is:

\displaystyle f(t)=510\Big(\frac{1}{2}\Big)^{t/38}

One year has 365 days.

Therefore, the amount remaining after one year will be:

\displaystyle f(365)=510\Big(\frac{1}{2}\Big)^{365/38}\approx0.6548

About 0.6548 grams will be remaining.  

Alternatively, we can use the standard exponential growth/decay function modeled by:

f(t)=Ce^{kt}

The starting sample is 510. So, C = 510.

After one half-life (38 days), the remaining amount will be 255. Therefore:

255=510e^{38k}

Solving for k:

\displaystyle \frac{1}{2}=e^{38k}\Rightarrow k=\frac{1}{38}\ln\Big(\frac{1}{2}\Big)

Thus, our function is:

f(t)=510e^{t\ln(.5)/38}

Then after one year or 365 days, the amount remaining will be about:

f(365)=510e^{365\ln(.5)/38}\approx 0.6548

5 0
3 years ago
Im stuck ....<br> What is the solution for the equation 2(3x−7)=−4(x+5)+3? <br> plss show work
Ipatiy [6.2K]

Answer:

2(3x - 7) =  - 4(x + 5) + 3 \\ 6x - 14 =  - 4x - 20 + 3 \\ 6x + 4x =  - 20 + 3 + 14 \\ 10x =  - 3 \\  \\ x =  \frac{ - 3}{10}  \\  \\ x =  - 0.3

I hope I helped you^_^

5 0
3 years ago
Tina has eight packs of paper each of her packs contain 50 sheets. Caz has three packs of paper each of his packs contain 125 sh
Vesna [10]

Answer:

i think the question is incomplete but

Tina at an average contains each package of

50 sheets ÷ 8 pack

6.205 of sheet in each pack

125 sheets ÷ 3 packs

caz contain at average 41.60 sheet average

but where the juan packs of paper that's why question is incomplete

7 0
3 years ago
Which ordered pair is a solution to the system of equations?
elixir [45]
I believe it would be (b) (-2,1)
4 0
3 years ago
Read 2 more answers
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