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3 years ago

What is the nth term of this sequence below? 2, 5, 8, 11 , 14. ......etc.

Mathematics

1 answer:

Gemiola [76]3 years ago

5 0

The nth term is 26 because each number is being added by 3. for example: 2+3=5, 5+3=8, etc.

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Consider a series circuit consisting of a resistor of R ohms, an inductor of L henries, and variable voltage source of V(t) volt

ser-zykov [4K]

Answer:

$I(t)=\frac{1}{3}(1-e^{-30t})$

Step-by-step explanation:

We are given that

$\frac{dI}{dt}+\frac{R}{L}I=\frac{V(t)}{L}$

R=150 ohm

L=5 H

V(t)=10 V

$P=\frac{R}{L}=\frac{150}{5}=30$

$I.F=e^{\int Pdt}=e^{\int 30 dt}=e^{30 t}$

$I(t)\times I.F=\int e^{30 t}\times 10 dt+C$

$I(t)\times e^{30 t}=\frac{10}{30}e^{30 t}+C$

$I(t)=\frac{1}{3}+Ce^{-30 t}$

I(0)=0

Substitute t=0

$0=\frac{1}{3}+C$

$C=-\frac{1}{3}$

Substitute the values

$I(t)=\frac{1}{3}-\frac{1}{3}e^{-30 t}$

$I(t)=\frac{1}{3}(1-e^{-30t})$

5 0

3 years ago

Pls help I dont get it<br>30 POINTS

yKpoI14uk [10]

Answer:

zero

Step-by-step explanation:

since there is no number less than 1 on the spinner, the probability of getting number less than one is zero.

5 0

3 years ago

Read 2 more answers

Help!!!

choli [55]

Answer:

Step-by-step explanation:

$y - 5 > 2x - 10 \\\ y > 2x - 10 + 5 \\\ y > 2x - 5$

If x = 0:

y > 2 × 0 - 5

y > - 5

If x = 3:

y > 2 × 1 - 5

y > 1

The coordenates (3, 1) and (0, -5) are not included.

Alternative A

I hope I helped you.

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3 years ago

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Solve the inequality 5u≤8u−21 and write the solution in interval notation

PIT_PIT [208]

Answer:

Step-by-step explanation:

$5u\leq 8u-21$

Subtract 8u from both sides

$-3u\leq -21$

Divide by -3 on both sides

$u\geq 7$

Interval notation: [greater/less than or equal to], (greater or equal to)

[7,∞)

3 0

3 years ago

True or false questions

Bond [772]

Answer:

correct me if i'm wrong but i think

1.False

2.False

3.True

4.True

8 0

3 years ago