All categories

3 years ago

Can someone help me with number 50?

Mathematics

1 answer:

timama [110]3 years ago

3 0

Let's take a peek at the denominators first off, and do a "prime factoring" on them.

25 = 5 * 5

27 = 3 * 3 * 3

45 = 3 * 3 * 5

the numbers in bold are repeated there more than once among the factors, and therefore we'll use them once, so our LCD will be 5 * 5 * 3 * 3 * 3, or 675.

$\bf \stackrel{Alaska}{\cfrac{4}{25}}~+~\stackrel{Texas}{\cfrac{2}{27}}~+~\stackrel{California}{\cfrac{2}{45}}~~ \stackrel{LCD~675}{\implies }~~ \cfrac{(27)4~+~(25)2~+~(15)2}{675}
\\\\\\
\cfrac{108+50+30}{675}\implies \cfrac{188}{675}$

You might be interested in

Find all roots<br> x^4-29x^2+100=0;-5

jeka57 [31]

Answer:

how about you go fلللاااuاااcلللk urself

3 0

3 years ago

Which expressions are equivalent to 2 ln a 2 ln b - ln a? Check all that apply. Ln ab2 - ln a ln a 2 ln b ln a2 ln b2 - ln a 2 l

marysya [2.9K]

Equivalent expressions are expressions with same simplified form. Equivalent expressions for the given expression are;

Expression 2: $\ln(a) + 2\ln(b) = \ln(a) + \ln(b^2) = \ln(ab^2)$
Expression 3: $\ln(a^2) + \ln(b^2) - \ln(a) = \ln(a^2b^2/a) = \ln(ab^2)$
Expression 5: $\ln(ab^2)$

<h3>What are equivalent expressions?</h3>

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.

<h3>What is logarithm and some of its useful properties?</h3>

When you raise a number with an exponent, there comes a result.

Lets say you get

$a^b = c$

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

$b = log_a(c)$

Some properties of logarithm are:

$log_a(b) = log_a(c) \implies b = c\\\\\log_a(b) + log_a(c) = log_a(b \times c)\\\\log_a(b) - log_a(c) = log_a(\frac{b}{c})\\\\log_a(b^c) = c \times log_a(b)\\\\log_b(b) = 1\\\\ log_a(b) + log_b(c) = log_a(c)$

Log with base e = 2.71828.... is written as $\ln(x)$ simply.

The expression given is $2\ln(a) + 2\ln(b) - \ln(a)$

We get its simplified form as

$2\ln(a) + 2\ln(b) - \ln(a) = \ln(a) + \ln(b^2) = \ln(ab^2)$

Simplifying given expressions:

Expression 1: $\ln(ab^2) - \ln(a) = \ln(ab^2/a) = \ln(b^2)$

This isn't same as simplified form of original

. Thus , this expression is not equivalent to the given expression.

Expression 2: $\ln(a) + 2\ln(b) = \ln(a) + \ln(b^2) = \ln(ab^2)$

This is same as simplified form of original expression. Thus , this expression is equivalent to the given expression.

Expression 3: $\ln(a^2) + \ln(b^2) - \ln(a) = \ln(a^2b^2/a) = \ln(ab^2)$

This is same as simplified form of original expression. Thus , this expression is equivalent to the given expression.

Expression 4: $2\ln(ab) = \ln((ab)^2) = \ln(a^2b^2)$

This isn't same as simplified form of original expression. Thus , this expression is not equivalent to the given expression.

Expression 5: $\ln(ab^2)$

This is same as simplified form of original expression. Thus , this expression is equivalent to the given expression.

Thus, equivalent expressions for the given expression are;

Expression 2: $\ln(a) + 2\ln(b) = \ln(a) + \ln(b^2) = \ln(ab^2)$
Expression 3: $\ln(a^2) + \ln(b^2) - \ln(a) = \ln(a^2b^2/a) = \ln(ab^2)$
Expression 5: $\ln(ab^2)$

Learn more about equivalent expressions here:

brainly.com/question/10628562

4 0

2 years ago

M is at least 25 m_____25 options >

damaskus [11]

M > 25
_

Make sure u put the line underneath > because m could equal 25

7 0

3 years ago

Read 2 more answers

I really don't understand this. Would someone please send me on how to do this along with the answers?

patriot [66]

Easiest way:

Look at A and C. To get from A to C you need 6 steps to the right and 2 steps upwards.
Slope means (in layman's terms) that how many steps you take upwards when you take 1 step to the right.
In your case you take 2/6 steps, because it would take you 6 steps to the right to go 2 steps upwards.
A slope of 4 would mean that 1 step to the right is followed by 4 steps upwards. A slope of -5 means 1 step to the right, 5 steps downwards.

To get from A to E you need 9 steps to the right and 3 steps upwards. This means a 3/9 slope. The simplest form of it is 1/3.
1/3 slope means that for every 3 steps to the right you take 1 step upwards.

I hope this was understandable, this is how they taught me this in 5th grade more than a decade ago.

6 0

3 years ago

Read 2 more answers

Plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Feliz [49]

Answer:

a) x(x-2)

b) 6x(2x+2)

dont know c and d sorry

Step-by-step explanation:

3 0

2 years ago