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riadik2000 [5.3K]
3 years ago
13

In an electrical circuit, the current passing through a conductor varies inversely with the resistance. Suppose that when the cu

rrent is 4 A(amperes), The resistance is 55 ohm. What is the current when the resistance is 20 ohms?
Mathematics
1 answer:
Hitman42 [59]3 years ago
3 0

Answer: R = 34

Step-by-step explanation: In physics this is Ohm's Law, where voltage = current x resistance. Thus, an electrical circuit would be V = 17 x 10, or V = 170 volts. Now, in a real circuit, if the voltage remains constant and the current changes, the resistance will change proportionally. In this case it would be 170 = R x 5, or R = 170/5 = 34 ohms. In the same way, adding resistance to a circuit with a fixed voltage reduces the current through the circuit.

In the case of a simple stated inverse proportional relationship we can simply write the current ratio as 17/5. Then the corresponding changed resistance ratio would be 10/R. The INVERSE is R/10 so the equation is 17/5 = R/10 ; R = 10(17/5) ; R = 170/5


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Please answer ASAP. A baseball is hit upward from a platform that is m high at an initial speed of 29m/s. The approximate height
kotegsom [21]

Answer:

a) about 0.7 seconds to 5.1 seconds.

b) Listed below.

Step-by-step explanation:

h - 1 = -5x^2 + 29x

h = -5x^2 + 29x + 1

a) We will find the amount of time it takes to get to 18 meters.

18 = -5x^2 + 29x + 1

-5x^2 + 29x + 1 = 18

-5x^2 + 29x - 17 = 0

We will then use the quadratic formula to find the answer.

[please ignore the A-hat; that is a bug]

\frac{-29±\sqrt{29^2 - 4 * -5 * -17} }{2 * -5}

= \frac{-29±\sqrt{841 - 340} }{-10}

= \frac{-29±\sqrt{501} }{-10}

= \frac{-29 ± 22.38302929}{-10}

= \frac{-6.616970714}{-10} and \frac{-51.38302929}{-10}

= 0.6616970714 and 5.138302929

So, the time period for which the baseball is higher than 18 metres ranges from about 0.7 seconds to 5.1 seconds.

b) Restrictions on the domain and range of the function are that the domain and range can never be negative, since time cannot be negative, and height cannot be negative. The height cannot exceed the vertex of the parabola, since that is the highest the ball will ever go. It cannot exceed that height since gravity will cause the ball to fall down.

Hope this helps!

5 0
3 years ago
Which would the phrase "two times the quotient of a number and 3" look like as a variable expression?
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2 n/3 would be the closest answer although it looks as if the 2 is supposed to be multiplied by n/3 which would lead me to write it as 2(n/3)

6 0
3 years ago
Enter the number that belongs in the green box
Brilliant_brown [7]

Answer:

1

Step-by-step explanation:

Hi!

First we need to translate 2 units down. That means we need to subtract 2 from the y value. So now we have (-1,1).

For a 270 degree counterclockwise rotation the rule is to go from (x,y) to (y,-x)

So now we have (1,1). Since they're only asking for the x value, the answer is 1.

6 0
2 years ago
It is about Name the property of the rational numbers in each of the following
Diano4ka-milaya [45]

The property of each given rational number operation are respectively; Commutative Property; Closure Property; Associative Property; Closure Property; Distributive Property

<h3>What is the property of the rational number?</h3>

The main properties of rational numbers are:

  • Commutative property.
  • Associative Property.
  • Distributive Property.
  • Closure property.

a) The property used here is commutative property which says that;

a + b = b + a.

This tallies with the operation used on the rational numbers.

b) The property used here is called Closure Property. This is because for two rational numbers say a and b, the results of addition, subtraction and multiplication operations gives a rational number.

c) The property used here is called associative property because it states that; a * (b * c) = (a * b) * c.

d) The property used here is called Closure Property. This is because for two rational numbers say a and b, the results of addition, subtraction and multiplication operations gives a rational number.

e)  The property used here is called distributive property because it states that; a * (b * c) = (ab * ac)

Read more about Properties of rational numbers at; brainly.com/question/12088221

#SPJ1

5 0
2 years ago
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