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zheka24 [161]
3 years ago
7

A lamp in a typical electrical circuit can also be correctly described as

Mathematics
1 answer:
borishaifa [10]3 years ago
3 0

Answer:

A lamp  can also be described as circuit.

Step-by-step explanation:

Since the electric current comes from one side (positive) and other side (negative), then what makes it possible to light up is the closing of this simple circuit with the lamp.

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Find two positive numbers satisfying the given requirements. The product is 432 and the sum of the first plus three times the se
kogti [31]

Answer:

<h3>36 and 12</h3>

Step-by-step explanation:

Let the two positive integers be x and y.

If their product is 432, then

xy = 432 ......... 1

Also if the sum of the first plus three times the second is a minimum, then;

p(x) = x + 3y

From 1;

y = 432/x ..... 3

Substitute 3 into 2;

p(x) = x+3y

p(x)= x + 3(432/x)

p(x) = x + 1296/x

Since the expression is at minimum when dp(x)/dx = 0

dp/dx = 1 + (-1296)/x²

dp/dx = 1  -1296/x²

0 =  1  -1296/x²

0 = (x²-1296)/x²

cross multiply

0 = x²-1296

x² = 1296

x = √1296

x = 36

Since xy = 432

36y = 432

y = 432/36

y = 12

Hence the two positive numbers are 36 and 12

4 0
3 years ago
Find the measure of angles X and Y, as well as the values of x and y:
kotegsom [21]

Answer:

Step-by-step explanation:

By the Isosceles Triangle Theorem, if 2 sides of a triangle are congruent to each other, than the angles opposite those sides are also congruent. We see by the markings on the triangle that WX and WY are congruent. That means that angle Y (which is across from WX) and angle X (which is across from WY) are the same measure. We can set them equal to each other  because of this:

6y - 2 = 4x + 20

But we have a problem because we have 2 unknowns.

Let's try this out: the Triangle Angle-Sum Theorem says that all the angles of a triangle have to add together to equal 180. That means that

52 + 6y - 2 + 4x + 20 = 180.

But we STILL have a problem with those 2 unknowns. BUT...

If angle X and angle Y are the same, then we don't need both 6y - 2 AND 4x + 20.  We only need 1 of those multiplied by 2 because they're the same measure. Changing things up a bit to reflect that:

52 + 2(4x + 20) = 180 and

52 + 8x + 40 = 180 and

8x = 88 so

x = 11.

That means that

4(11) + 20 = 64 which is the measure of both angles X and Y.

Let's check:

64 + 64 + 52 better equal 180. And it does, so we're good.

The value of x is found this way:

4x + 20 = 64 and

4x = 44 so

x = 11 which we already knew. Now for y:

6y - 2 = 64 and

6y = 66 and

y = 11 also.

4 0
4 years ago
In a naval engagement, one-third of the fleet was captured, one-sixth was sunk, and two ships were destroyed by fire. One-sevent
Otrada [13]

Answer:

60 ships.

Step-by-step explanation:

Let the total number of ships in the naval fleet be represented by x

One-third of the fleet was captured = 1/3x

One-sixth was sunk = 1/6x

Two ships were destroyed by fire = 2

Let surviving ships be represented by y

One-seventh of the surviving ships were lost in a storm after the battle = 1/7y

Finally, the twenty-four remaining ships sailed home

The 24 remaining ships that sailed home =

y - 1/7y = 6/7y of the surviving fleet sailed home.

Hence

24 = 6/7y

24 = 6y/7

24 × 7/ 6

y = 168/6

y = 28

Therefore, total number of ships that survived is 28.

Surviving ships lost in the storm = 1/7y = 1/7 × 28 = 4

Total number of ships in the fleet(x) =

x = 1/3x + 1/6x + 2 + 28

Collect like terms

x - (1/3x + 1/6x) = 30

x - (1/2x) = 30

1/2x = 30

x = 30 ÷ 1/2

x = 30 × 2

x = 60

Therefore, ships that were in the fleet before the engagement were 60 ships.

3 0
3 years ago
How much would $500 invested at 5% interest compounded continuously be worth after 8 years? Round your answer to the nearest cen
attashe74 [19]
Okay so the equation for compound interest is A = P(1 + r/n)^nt.

P<span> =</span><span> principal amount (the initial amount you borrow or deposit)</span>

r<span>  = </span>annual rate of interest (as a decimal)

t<span>  = </span>number of years the amount is deposited or borrowed for.

A<span> =</span><span> amount of money accumulated after n years, including interest.</span>

n  =  number of times the interest is compounded per year 

When interest is compounded continually (i.e. n --> ), the compound interest equation takes the form:<span>P = Ce^<span>rt

So you have to use this formula. 

so C is 500, e is the In function on the calculator, r is 0.05 and t is 8 
Substitute into the formula and you have your answer

Hope this helps</span></span>
5 0
4 years ago
Plz answer this asap
Yuri [45]

Answer: 20

Step-by-step explanation: 5 times 4 is 20 times 2 is 40, but when you divide by 1/2 you drop down to 20.

7 0
3 years ago
Read 2 more answers
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