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3 years ago

11

Mathematics

1 answer:

JulijaS [17]3 years ago

4 0

Answer:

B. 1 + ln 2 - ln x

General Formulas and Concepts:

Algebra II

Natural logarithms ln and Euler's number e
Logarithmic Property [Multiplying]: $\displaystyle log(ab) = log(a) + log(b)$
Logarithmic Property [Dividing]: $\displaystyle log(\frac{a}{b}) = log(a) - log(b)$

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle ln(\frac{2e}{x})$

Step 2: Simplify

Expand [Logarithmic Property - Dividing]: $\displaystyle ln(\frac{2e}{x}) = ln(2e) - ln(x)$
Expand [Logarithmic Property - Multiplying]: $\displaystyle ln(\frac{2e}{x}) = ln(2) + ln(e) - ln(x)$
Simplify: $\displaystyle ln(\frac{2e}{x}) = ln(2) + 1 - ln(x)$
Rewrite: $\displaystyle ln(\frac{2e}{x}) = 1 + ln(2) - ln(x)$

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Please answer the following:

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Answer:

$( \frac{7}{10} - \frac{5}{8} )$ ÷ $\frac{1}{16}$

(check your other question for my explanation)

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Today, a tank contains 6,600 gallons of water. For the past three days, 210 gallons of water was pumped out of the tank each day

kherson [118]

Answer:

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Explanation:

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3 years ago

Which expression is represented by the diagram?

Allisa [31]

Answer:

The expression -10 - (-4) represents the given diagram.

Step-by-step explanation:

Here, the total number of blue boxes marked with (-) = 10

So, in Total number of (-) are 10 x (-1) = -10

Now, the number of boxes crossed out = 4

So, the total value crossed out = 4 x ( Value on each box) = 4 ( -1) = -4

⇒ The value Left after crossing = Total value - The crossed out value

= -10 - (-4)

Hence, the expression -10 - (-4) represents the given diagram.

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3 years ago

Read 2 more answers

A scatter plot is shown below: A graph shows numbers from 0 to 10 on the x axis at increments of 1 and the numbers 0 to 15 on th

Mrrafil [7]

Answer:

B (0, 14) and (10, 1)

Step-by-step explanation:

Option A: (0, 14) and (10, 14)

Equation of line using two point slope form .

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

$(x_1,y_1)=(0,14)$

$(x_2,y_2)=(10,14)$

Substitute values in formula :

$y-14=\frac{14-14}{`10-0}(x-0)$

$y-14=0(x-0)$

$y=14$

Option B : (0, 14) and (10, 1)

Equation of line using two point slope form .

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

$(x_1,y_1)=(0,14)$

$(x_2,y_2)=(10,1)$

Substitute values in formula :

$y-14=\frac{1-14}{`10-0}(x-0)$

$y-14=\frac{-13}{10}(x-0)$

$y=\frac{-13}{10}x+14$

Option C: (0, 7) and (7, 0)

Equation of line using two point slope form .

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

$(x_1,y_1)=(0,7)$

$(x_2,y_2)=(7,0)$

Substitute values in formula :

$y-7=\frac{0-7}{`7-0}(x-0)$

$y-7=\frac{-7}{7}(x)$

$y= -x+7$

Option D: (0, 7) and (3, 0)

Equation of line using two point slope form .

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

$(x_1,y_1)=(0,7)$

$(x_2,y_2)=(3,0)$

Substitute values in formula :

$y-7=\frac{0-7}{`3-0}(x-0)$

$y-7=\frac{-7}{3}(x)$

$y=\frac{-7}{3}(x)+7$

Now after plotting all the lines of given options on the graph of scatter plot we can see that the blue line $y=\frac{-13}{10}x+14$ of Option B the is the line of best fit for this scatter plot Since it is covering almost all ordered pairs of scatter plot.

Hence two ordered pairs can be joined to best draw the line of best fit for this scatter plot are (0, 14) and (10, 1)

Option B is correct.

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Svet_ta [14]

Answer:

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