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REY [17]
3 years ago
6

The amount of garbage, G produced by a city with population p is given by G = f(p). G is measured in tons per week, and p is mea

sured in thousands of people. The town of Tola has a population of 50,000 and produces 13 tons of garbage each week. Express the information in terms of the function f
Mathematics
1 answer:
barxatty [35]3 years ago
5 0
Alright, so this is simple.

P= 50,000 or 50 thousands

G= 13 Tons

The variable f isn't known.

So your equation would be 13 = 50 (f), if you were to put your known variables in the equation.

If you were to find variable f, you would divide 13 tons by 50,000 to get 0.00026 or in scientific notation: 2.6 x 10 (exponent(s):-4)



 

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Give the equation of a line that goes through the point ( − 21 , 2 ) and is perpendicular to the line 7 x − 4 y = − 12 . Give yo
nlexa [21]

Given:

Equation of line 7x-4y=-12.

To find:

The equation of line  that goes through the point ( − 21 , 2 ) and is perpendicular to the given line.

Solution:

The given equation of line can be written as

7x-4y+12=0

Slope of line is

\text{Slope}=-\dfrac{\text{Coefficient of x}}{\text{Coefficient of y}}

m_1=-\dfrac{7}{(-4)}

m_1=\dfrac{7}{4}

Product of slopes of two perpendicular lines is -1. So, slope of perpendicular line is

m_1m_2=-1

m_2=-\dfrac{1}{m_1}

m_2=-\dfrac{4}{7}           [\because m_1=\dfrac{7}{4}]

Now, the slope of perpendicular line is m_2=\dfrac{4}{7} and it goes through (-21,2). So, the equation of line is

y-y_1=m_2(x-x_1)

y-2=-\dfrac{4}{7}(x-(-21))

y-2=-\dfrac{4}{7}x-\dfrac{4}{7}(21)

y-2=-\dfrac{4}{7}x-12

y=-\dfrac{4}{7}x-12+2

y=-\dfrac{4}{7}x-10

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7 0
3 years ago
My question is 4318 divided by 7 please tell me
Vikki [24]
<span>1.You should set up the long division.
</span>


2 <span>Calculate 43 ÷ 7, which is 6 with a remainder of 1.
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3 <span>Bring down 1, so that 11 is large enough to be divided by 7.
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4 <span>Calculate 11 ÷ 7, which is 1 with a remainder of 4.
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5 <span>Bring down 8, so that 48 is large enough to be divided by 7.
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6 <span>Calculate 48 ÷ 7, which is 6 with a remainder of 6.
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5 0
3 years ago
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tangare [24]

A / B

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7 0
3 years ago
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Why equals 3/4 X -12 and why equals negative 4X - 31
Helga [31]

Answer:

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Step-by-step explanation:

Perhaps you want the solution to ...

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The solution to this system of equations is ...

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8 0
3 years ago
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