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Bess [88]
3 years ago
9

Which equation represents the formula for the general term an, of an arithmetic sequence with a first term of 8 and a common dif

ference of 0.3? an = 7.7 + 0.3n an = 8 + 0.3n an = 8.3 + 0.3n an = 7.7 – 0.3n
Mathematics
1 answer:
kykrilka [37]3 years ago
8 0
The formula for the general term of an arithmetic sequence with first term, a, and a common difference, d, is given by
A_n=a+(n-1)d

Given that the first term of an arithmetic sequence is 8 and the common difference of 0.3, then the equation that represents the formula for the general term of the arithmetic sequence is given by
A_n=8+(n-1)0.3=8+0.3n-0.3=7.7+3.3n
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The two curves y=x and y=x^{1/15} intersect at x=0 and x=1, with x^{1/15}\ge x over 0\le x\le1.

  • Washer method

\displaystyle\pi\int_0^1\left(\left(x^{1/15}\right)^2-x^2\right)\,\mathrm dx=\pi\int_0^1\left(x^{2/15}-x^2\right)\,\mathrm dx=\pi\left(\frac{15}{17}-\frac13\right)=\boxed{\frac{28\pi}{51}}

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We have y=x^{1/15}\implies x=y^{15}. The curves x=y and x=y^{15} intersect at y=0 and y=1, with y\ge y^{15} over 0\le y\le1.

\displaystyle2\pi\int_0^1y\left(y-y^{15}\right)\,\mathrm dy=2\pi\int_0^1\left(y^2-y^{16}\right)\,\mathrm dy=2\pi\left(\frac13-\frac1{17}\right)=\boxed{\frac{28\pi}{51}}

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3 years ago
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uranmaximum [27]
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grandymaker [24]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
Read 2 more answers
ASAP PLEASE HELP An ostrich egg has a mass of 1.2 kg to the nearest tenth of a kilogram. Find the minimum and maximum possible m
katen-ka-za [31]

The maximum possible measurement is 1.25 Kg and the minimum possible measurement is 1.15 kg

<u>Solution:</u>

Given mass of an ostrich egg is 1.2 Kg

We have to find the minimum and maximum possible measurements to the nearest tenth of a kilogram

The greatest possible error in measurement nearest tenth of a kilogram, is a half a tenth of a kilogram which is:-

\frac{1}{2} \times \frac{1}{10}=\frac{1}{20}

Now, the maximum value will be equal to calculated amount plus the error in measurement of value .i.e.

\text { Maximum value }=1.2+\frac{1}{20}=1.2+0.05=1.25

Now, the minimum value will be equal to calculated amount minus  the error in measurement of value .i.e.

\text { Minimum value }=1.2-\frac{1}{20}=1.2-0.05=1.15

Hence, maximum possible measurement is 1.25 Kg

And the minimum possible measurement is 1.15 kg

3 0
3 years ago
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