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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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between 1995 and 2006, the population of samburg, usa(in thousands) can be modeled by f(x) = 0.35x(squared) - 2.1x+15.8 where x=
Juli2301 [7.4K]
\bf f(x)=0.35x^2-2.1x+15.8\qquad 
\begin{cases}
x=\textit{year since 1995}\\
f(x)=\textit{population amount}
\end{cases}

the equation is a quadratic one, and it has a positive coefficient on the leading term, meaning, is opening upwards, so it has a "burrow" for the vertex.

the minimum or lowest point for a quadratic opening upwards is, well, the vertex point :),   the "x" value is the year, the "y" or f(x) value is the population, we're asked for the year, or the x-coordinate of the vertex

well   \bf \begin{array}{llll}
f(x)=&0.35x^2&-2.1x&+15.8\\
&\quad \uparrow &\quad \uparrow&\uparrow \\
&\quad  a&\quad  b &c
\end{array}
\\\\

\\\\
\qquad  \textit{vertex of a parabola}\\ \quad \\
\qquad 

\left(\boxed{-\cfrac{{{ b}}}{2{{ a}}}}\quad ,\quad  {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)
5 0
3 years ago
Please help me fast x over 7 minus 12 equals negative 2
andrey2020 [161]

Answer:

x= 70

Step-by-step explanation:

The equation is: x/7-12= -2

First, do inverse operations. Do = +12 on each side to get rid of 12

Now: x/7=10

Multiply 7 on each side

Now: x=70

Hope this helped!!! :D

5 0
3 years ago
Read 2 more answers
WILL GIVE BRAINIEST what is the sum of the interior angles of the polygon shown below.
jolli1 [7]

Answer:

900

Step-by-step explanation:

(n-2)*180

5*180=900

7 0
3 years ago
Read 2 more answers
How to solve: 52 is 65% of what number?
Liula [17]
Let, that number = x
It would be: x * 0.65 = 52
x = 52 / 0.65
x = 80

So, that number and your answer is 80

Hope this helps!
3 0
3 years ago
Point T(-9,5) lies on the perpendicular bisector of UV. If the
Flura [38]

The coordinate of point V is at (-16, 9)

If Point T(-9,5) lies on the perpendicular bisector of UV, this means that the point divides the line UV into two equal parts

Given the following coordinates

Midpoint T = (-9, 5)

U = (-2, 1)

Required

coordinate of point V

Using the midpoint formulas;

T(x, y) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}) \\T(-9, 5) = (\frac{-2+x_2}{2}, \frac{1+y_2}{2})

Get the value if x₂ and y₂

-9 = \frac{-2+x_2}{2}\\-18 = -2+x_2\\x_2 = -18+2\\x_2 = -16\\

Similarly;

5 = \frac{1+y_2}{2}\\10 = 1+y_2\\y_2 = 10-1\\y_2 = 9\\

Hence the coordinate of point V is at (-16, 9)

Learn more here: brainly.com/question/18049211

5 0
3 years ago
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