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2 years ago

In the circuit shown in the figure above, which switches must be closed in order for the light bulb to light up?

Mathematics

2 answers:

nika2105 [10]2 years ago

4 0

Answer:

Option B.

Step-by-step explanation:

In a circuit shown in the figure two diodes are attached in which arrow shows the direction of current allowed by the diodes.

When key S1 is closed current flows from electric source to S1 then bulb. Afterwards if key S3 is closed current will pass through S3 and diode. Therefore to light the bulb circuit will be a closed circuit if S1 and S3 both are closed.

Therefore option B. is the correct answer.

katovenus [111]2 years ago

3 0

The answer is b because from s1 it goes to s3 and then it can go through the center of s2 and s3 and resume its curcuit

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Tamiku [17]

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Step-by-step explanation:

$3x^2 + 12x + 6 = 0\\\\a=3\,,\ b=12\,,\ c=6\\\\\\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\ x=\dfrac{-12\pm\sqrt{12^2-4\cdot3\cdot6}}{2\cdot3}=\dfrac{-12\pm\sqrt{144-72}}{2\cdot3}=\dfrac{-12\pm\sqrt{72}}{2\cdot3}=\dfrac{-12\pm6\sqrt{2}}{6}\\\\x_1=\dfrac{6(-2+\sqrt{2})}{6}=-2+\sqrt2\\\\x_2=\dfrac{6(-2-\sqrt{2})}{6}=-2-\sqrt2$

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2 years ago

A spinner with three equal sectors is spun three times. What is the number of possible outcomes?

Marina86 [1]

Answer:

If they mean written as a fraction, you have three total outcomes. As a fraction you can say 1/3 to say you have a one in three chance of landing on a specific one.

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3 years ago

Read 2 more answers

Find integrate (1/(xsqrt(1+(lnx)^2)),1,e,x) ...?

prohojiy [21]

Note that x² + 2x + 3 = x² + x + 3 + x. So your integrand can be written as

(x² + x + 3 + x)/(x² + x + 3) = 1 + x/(x² + x + 3). 

Next, complete the square. 

x² + x + 3 = x² + x + 1/4 + 11/4 = (x + 1/2)² + (√(11)/2)² 

Also, for the x in the numerator 

x = x + 1/2 - 1/2. 

So 

(x² + 2x + 3)/(x² + x + 3) = 1 + (x + 1/2)/[(x + 1/2)² + (√(11)/2)²] - 1/2/[(x + 1/2)² + (√(11)/2)²]. 

Integrate term by term to get 

∫ (x² + 2x + 3)/(x² + x + 3) dx = x + (1/2) ln(x² + x + 3) - (1/√(11)) arctan(2(x + 1/2)/√(11)) + C 

b) Use the fact that ln(x) = 2 ln√(x). Then put u = √(x), du = 1/[2√(x)] dx. 

∫ ln(x)/√(x) dx = 4 ∫ ln u du = 4 u ln(u) - u + C = 4√(x) ln√(x) - √(x) + C 

= 2 √(x) ln(x) - √(x) + C. 

c) There are different approaches to this. One is to multiply and divide by e^x, then use u = e^x. 

∫ 1/(e^(-x) + e^x) dx = ∫ e^x/(1 + e^(2x)) dx = ∫ du/(1 + u²) = arctan(u) + C 

= arctan(e^x) + C.

4 0

2 years ago

John has a job selling souvenirs on a football stadium. He earns $10 per game plus $0.25 dollars for each souvenir he sells. How

Ahat [919]

Answer:

He needs to sell 100 souvenirs

Step-by-step explanation:

We want to know the number of souveniers John has to sell

Let the number of souveniers he sold at the game be s

At a rate of $0.25 per souvenier, the amount earned on souveniers for s souveniers will be:

$0.25 \times s =0.25s$

Now, if we added this to the amount he earns per game, we will have the total $35 earned for working at one game.

Thus, mathematically:

$0.25s + 10 = 35 \\ 0.25s = 35 - 10 \\ 0.25s = 25 \\ s = \frac{25}{0.25} \\ s = 100$

7 0

2 years ago

Can you help me with 12-3(x+1)=30

inysia [295]

Greetings!

$12-3(x+1)=30$
Distribute the Parenthesis.
$12-3x-3=30$
Combine like terms.
$9-3x=30$
Add -9 to both sides.
$(15-3x)+(-9)=(30)+(-9)$
$-3x=21$
Divide both sides by -3.
$(-3x)/-3=(21)/-3$
The Answer Is:
$x=-7$

Hope this helps.
-Benjamin

7 0

2 years ago