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2 years ago

5

Carol is making yogurt smoothies. each smoothie uses 1/3 cup of yogurt. she has 4 cups of yogurt. how many smoothies can she mak

e?

1 answer:

Anestetic [448]2 years ago

3 0

Answer:

12

Step-by-step explanation:

1/3 divide by 4

Take the reciprocal and get 3 times 4

Gives you 12.

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Expanding Logarithmic Expressions In Exercise, use the properties of logarithms to rewrite the expression as the sum, difference

kicyunya [14]

Answer:

$\\ ln(x^2) - ln(x^2 + 1)$ .

For values of x>0, it can be rewritten as $\\ 2ln(x) - ln(x^2 + 1).$

Step-by-step explanation:

For the expression:

$\\ ln(\frac{x^2}{x^2 + 1})$

We can apply this logarithmical property: $\\ ln(\frac{x}{y}) = ln(x) - ln(y).$

Then,

$\\ \frac{x^2}{x^2 + 1} = ln(x^2) - ln(x^2 + 1).$

If we assume values of <em>x </em>> 0 (non negative values for x), then the expression could be rewritten as follows:

$\\ \frac{x^2}{x^2 + 1} = ln(x^2) - ln(x^2 + 1) = 2 ln(x) - ln(x^2 + 1)$ , since $\\ ln(x^{n}) = n*ln(x).$

We have to remember that <em>domain</em> (all possible values x) for logarithmic function is for all x > 0, or mathematically expressed as:

Domain: $\\ {x | x \in R, x > 0}$

8 0

2 years ago

HELP ASAP!!!! Please!!! Is my answer correct?!?! :) will give brainliest if correct!

MrMuchimi

Vertical stretch of 4 and shift of 4 to the right is: g(x) = 4*f(x-4)

So: g(x) = -12(x-4)

You are correct.

6 0

3 years ago

123.5652 to the nearest thousand

ycow [4]

Answer:

Hi there!

The correct answer will be: 123.565

Step-by-step explanation:

Any time they ask you to round to the nearest thousand, it means there will be three digits behind the decimal

3 0

2 years ago

Read 2 more answers

Rachel is a stunt driver. One time, during a gig where she escaped from a building about to explode, she drove to get to the saf

sergij07 [2.7K]

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8 0

2 years ago

What is the length of ab and bc ? a= (1,-3) b= (3,-1) C= (5,-3)

ddd [48]

Answer:

the length is (1,3

Step-by-step explanation:

the length is 3,1

5 0

2 years ago