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2 years ago

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1 answer:

kramer2 years ago

5 0

Answer:

xxx

Step-by-step explanation:

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Identify the equation that translates y=ln(x) five units down.

kari74 [83]

We are given equation: y=ln(x) .

And translation is 5 units down.

We know the rule of transformation f(x) = y + k, if k is greater than 0 it would move up or if k is less than 0, it would move down.

For the given translation 5 unit down, 5 should be less than 0.

Number less than 0 are negative numbers.

So, we need to add -5 in the given function to ln(x).

So, we would get the final equation for five units down as

y =ln(x) - 5.

6 0

3 years ago

Read 2 more answers

A circle has a radius of 6. An arc in this circle has a central angle of 330

sashaice [31]

Answer: $Arc\ lenght\approx34.55\ units$

Step-by-step explanation:

<h3> The complete exercise is: " A circle has a radius of 6. An arc in this circle has a central angle of 330 degrees. What is the arc length?"</h3><h3></h3>

To solve this exercise you need to use the following formula to find the Arc lenght:

$Arc\ lenght=2\pi r(\frac{C}{360})$

Where "C" is the central angle of the arc (in degrees) and "r" is the radius.

In this case, after analize the information given in the exercise, you can identify that the radius and the central angle in degrees, are:

$r=6\ units\\\\C=330$

Therefore, knowing these values, you can substitute them into the formula:

$Arc\ lenght=2\pi (6\ units)(\frac{330}{360})$

And finally,you must evaluate in order to find the Arc lenght.

You get that this is:

$Arc\ lenght=2\pi (6\ units)(\frac{11}{12})\\\\Arc\ lenght=11\pi \ units\\\\Arc\ lenght\approx34.55\ units$

3 0

2 years ago

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Which of the following is the product of the rational expressions shown below?

kotykmax [81]

Answer: OPTION D.

Step-by-step explanation:

You have the expressions given in the problem:

$\frac{2}{2x+3}*\frac{9}{x}$

To find the product of both expression you must multiplicate them.

You must multiply the numerators of both expression and the denominators of both expression.

Keeping the above on mind, you obtain that the product is:

$\frac{2*9}{(2x+3)x}$

$\frac{18}{2x^{2}+3x}$

3 0

3 years ago

Read 2 more answers

7/10 - 5/8 in simplest form

NISA [10]

Answer:

3/40 :D

Step-by-step explanation:

3 0

3 years ago

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Paul paid $ 25.50 for 3 cups of hot chocolate and cups of tea. The cost of each cup of tea was 2/3 the cost of each cup of hoy c

Allushta [10]

Let the cost of one cup of hot chocolate be = x

Let the cost of one cup of hot tea be = y

Paul paid $ 25.50 for 3 cups of hot chocolate and 4 cups of tea.

Equation becomes = $3x+4y=25.50$ ...(1)

As given, the cost of each cup of tea was 2/3 the cost of each cup of hot chocolate.

$y=\frac{2x}{3}$ .... (2)

Putting the value of y from (2) in (1)

$3x+4(\frac{2x}{3})=25.50$

= $3x+\frac{8x}{3}=25.50$

= $\frac{9x+8x}{3}=25.50$

= $17x=76.5$

x=4.5

$y=\frac{2x}{3}$

= $\frac{2*4.5}{3}$

y =3

Hence each cup of hot chocolate is $4.50

Each cup of tea is $3.

7 0

3 years ago