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evablogger [386]
2 years ago
14

The resistance of a wire varies directly with its length and inversely with the square of its diameter. If 100 feet of wire with

diameter 0.01 inch has a resistance of 10 ohms, what is the resistance of 140 feet of the same type of wire if its diameter is 0.01 inch
Mathematics
1 answer:
DaniilM [7]2 years ago
4 0

Answer:

  14 ohms

Step-by-step explanation:

The resistance varies directly with length, so increasing the length by a factor will increase the resistance by the same factor.

__

The length of the wire increased by a factor of 1.4 from 100 ft to 140 ft. That means the resistance will increase by a factor of 1.4 from 10 ohms to 14 ohms. (The diameter did not change.)

The longer wire will have a resistance of 14 ohms.

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(6e-3f-3/4) in a equivalent expression​
pashok25 [27]

Answer:

Step-by-step explanation:

(6e-3f-3/4) contains two terms which do not involve fractions and one fractional term (3/4).

We can safely remove the parentheses.  Then:

(6e-3f-3/4)  =>  6e - 3f - 3/4

That is "an equivalent expression."

We could go further and create one equivalent fraction.  Multiply the first two terms by 4/4, obtaining:

24e    12f       3           24e - 12f - 3             3(8e - 4f - 1

------ - ------ - -----  =>  ----------------------  =>  -------------------

  4       4         4                     4                             4

Other equivalent expressions exist here.

4 0
2 years ago
Is v = 12 a solution to the inequality below?<br> V&gt; 7
KengaRu [80]

Answer: Yes

Step-by-step explanation: If V=12

Then we plug in for the inequality and get 12>7

7 0
3 years ago
Which of the following expressions describes the solution to -2x &lt; -10
larisa [96]
The answer would be ×>5 because when u divide by a negative the sign will switch.
7 0
3 years ago
5y + 2 + 6 + 2y 5y + 2(y + 3) + 2 combining like terms 6y − y + 2y + 10 − 4 + 2 Commutative Property Distributive Property arrow
Paraphin [41]

Answer:

Distributive Property

Step-by-step explanation:

5y + 2 + 6 + 2y

= 5y + 2(y + 3) + 2 This is the distributive property of multiplication w.r.t. addition

= 6y − y + 2y + 10 − 4 + 2

The distributive property of multiplication with respect to addition  is the one  which separates each term by using multiplication and then addition.

So we see that 2 is multiplied with y and 3 and then added with the like terms. If there was a minus sign the property would be distributive over subtraction.

4 0
3 years ago
42 is 96% of what number?
Law Incorporation [45]
Let, the number = x
It would be: x * 96% = 42
x * 0.96 = 42
x = 42 / 0.96
x = 43.75

In short, Your Answer would be 43.75

Hope this helps!
7 0
3 years ago
Read 2 more answers
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