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3 years ago

Write the expression as a single natural logarithm. 3ln3 + 3lnc

1 answer:

5 0

Using the rules of logarithms, you can change it to

ln( $3^{3}$ ) + ln( $c^{3}$ ) =

ln(27 $c^{3}$ )

This is because when you have a factor in front of a logarithm, that turns into an exponent, and when you add logarithms, you multiply the factors inside of the logarithm.

So your final answer is D.

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Find the equation of this line. y= [?]x+[?]

DochEvi [55]

Answer:

$y=3x-4$

Step-by-step explanation:

Hi there!

Slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when x=0)

1) Determine the slope (m)

$m=\displaystyle\frac{y_2-y_1}{x_2-x_1}$ where two points that fall on the line are $(x_1,y_1)$ and $(x_2,y_2)$

On the graph, two points are highlighted for us: (0,-4) and (2,2). Plug these into the formula:

$m=\displaystyle\frac{2-(-4)}{2-0}\\\\m=\displaystyle\frac{2+4}{2}\\\\m=\displaystyle\frac{6}{2}\\\\m=3$

Therefore, the slope of the line is 3. Plug this into $y=mx+b$ :

$y=3x+b$

2) Determine the y-intercept (b)

$y=3x+b$

Recall that the y-intercept occurs when x=0. Given the point (0,-4), the y-intercept is therefore -4. Plug this into $y=3x+b$ :

$y=3x+(-4)\\y=3x-4$

I hope this helps!

5 0

2 years ago

A dozen eggs cost 3.84 at this rate how much would 50 eggs cost

Zina [86]

Answer:

50 eggs would cost 16$

Step-by-step explanation:

A dozen eggs is 12. So for 4 dozen eggs, you get 48. 48 eggs is 15.36$. If you divide the 3.84 to 12, you will get the individual price for each egg. The individual price for each egg is .32 cents. You need to add 2 more eggs to the 4 dozen to get 50 eggs. You times .32 to 2 and you get .64. After that you add .64 to the price of the 4 dozen eggs and you will get 16$

Simple version:

dozen eggs =12, cost 3.84$

4 dozen eggs= 48, cost 15.36$

3.84$ divided by 12 = .32 cents (price of the individual egg)

Add two of the individual eggs together and add it to 15.36$

5 0

2 years ago

Please help me please

myrzilka [38]

Answer:

B. y = -4/3x + 22

Step-by-step explanation:

Parallel lines have the same slope.

Use the given point (6, 14) and point-slope form:

y - 14 = -4/3(x - 6)
y = -4/3x + 8 + 14
y = -4/3x + 22

Correct choice is B

8 0

2 years ago

Read 2 more answers

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Law Incorporation [45]

A circle with a radius of 4cm sits inside a circle with a radius of 11cm
What is the area of the shaded region?
Round your final answer to the nearest hundredth.

Answer: 329.86 cm

6 0

3 years ago

Please help!!!

Nonamiya [84]

Answer:

I belive it would be 1/5. ;;;

4 0

3 years ago