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vredina [299]
3 years ago
12

align="absmiddle" class="latex-formula">
Mathematics
1 answer:
otez555 [7]3 years ago
6 0
If you put in n the calculator you should get the answer very easily. What i got is 3.734111864 im not sure if its correct tho
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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
Find the value of x from the equation
Jobisdone [24]

\dfrac{8^{3x}}{2^{10}}=\dfrac{4^{2x}}{16} \\\dfrac{2^{3(3x)}}{2^{10}}=\dfrac{4^{2x}}{4^2} \\2^{9x-10}=4^{2x-2} \\2^{9x-10}=2^{2(2x-2)} \\2^{9x-10}=2^{4x-4} \\9x-10=4x-4 \\5x-6=0 \\5x=6 \\\boxed{x=\dfrac{6}{5}}

Hope this helps.

r3t40

3 0
3 years ago
HELPPP!! <br> Triangle ABC is similar to triangle MOP. A = 45 and P = 102. What is the measure of B?
erma4kov [3.2K]

Answer:

       \large\boxed{\large\boxed{33\º}}

Explanation:

The order of the letters naming the triangles is relevant. When it is said that <em>triangle ABC is similar to triangle MOP</em>, means that:

  • ∡A ≅ ∡M
  • ∡B ≅ ∡O
  • ∡C ≅ ∡P

Therefore:

  • ∡A = 45º (given)
  • ∡P = 102º (given)
  • ∡C = 102º (by substitution)

Now, you have two angles of triangle ABC and can find the third one:

  • ∡A + ∡B + ∡C = 180º
  • ∡B = 180º - ∡A - ∡B
  • ∡B = 180º - 45º - 102º = 33º ← answer

6 0
3 years ago
Please Help I Will Mark Brainly . Thank You !
Ganezh [65]
801= 8.01×10^2
0.0801= 8.01×10^-2
8,010,000= 8.01×10^6
.00000801=8.01×10^-6
7 0
3 years ago
A triangle with all congruent angles is called what?
VladimirAG [237]

Answer:

Equiangular

Step-by-step explanation:

Please look up questions like this instead of posting them. They just waste other people's time.

8 0
3 years ago
Read 2 more answers
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