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krok68 [10]
3 years ago
7

Which expressions are equivalent to

Mathematics
2 answers:
Softa [21]3 years ago
8 0

the answers are options 2, 3, and 5 according to edgunity

wolverine [178]3 years ago
6 0
The given expression is
2 ln a + 2 ln b - ln a
It simplifies to
ln a + ln b² = ln ab²

Let us check the given answers.
1. ln ab² - ln a   = ln (ab²)/a = ln b²
   FALSE

2. ln a + 2 ln b = ln ab²
   TRUE

3. ln a² + ln b² - ln a = ln (a²b²)/a = ln ab²
   TRUE

4. 2 ln ab = ln a²b²
   FALSE

5. ln ab²
   TRUE

Answer:
Choices 2, 3, and 5  are correct.

You might be interested in
How do you find a missing side of a triangle using SOH CAH TOA
katrin2010 [14]

Answer:

See explanation and attachment

Step-by-step explanation:

SOH CAH TOA is a mnemonic.

SOH means \sin \theta=\frac{Opposite}{Hypotenuse}

CAH means \cos \theta =\frac{Opposite}{Hypotenuse}

TOA means \tan \theta=\frac{Opposite}{Adjacent}

Given an angle and a side of a right angle triangle, you can use the appropriate ratio to find the missing side.

For instance, find x in the diagram in the attachment.

In this case the best ratio to use is TOA.

\tan 60\degree=\frac{\sqrt{3} }{x}

\implies x=\frac{\sqrt{3} }{\tan 60}

x=\frac{\sqrt{3} }{\sqrt{3} } =1

All the other ratio also follow the same pattern

NB: Your calculator in degree should give  \tan 60\degree=\sqrt{3}

3 0
3 years ago
. The total area of a rectangular mural has been extended by x feet. The expression to represent the area is 5.5(7.5 + x). Rewri
alexandr1967 [171]

Answer and Step-by-step explanation: <u>Distributive</u> <u>Property</u> describes how to solve expressions like a(b +c). According to the property, multiplying the sum of two or more numbers by a number will result in the same as multiplying each number and then add the products. For example:

                 11(2 + 4)

11(6) = 66                 22 + 44 = 66

So, for the expression that represents the area:

5.5(7.5 + x) = 41.25 + 5.5x

As the expression has non-numerical terms, the distributive property will be multiply each term and then add the products.

The expressio for area of a rectangular mural is 41.25 + 5.5x.

7 0
3 years ago
6 times 6.........................
Schach [20]
36. You can search it up and look at a times table chat or you can do this 6x5=30+6=36
6 0
3 years ago
A community swimming pool is a rectangular prism that is 30 feet long, 12 feet wide, and 5 feet deep. The wading pool is half as
topjm [15]

Answer:

The volume of the community swimming pool is 4 times greaters than the volume of the wading pool.

Step-by-step explanation:

By definition of rectangular prism, we get the respective formulas for the volumes of the community swimming pool and the wadling pool, respectively:

Community swimming pool

V_{c} = l\cdot w\cdot h (1)

Wading pool

V_{w} = \left(\frac{1}{2}\cdot l \right)\cdot \left(\frac{1}{2}\cdot h\right)\cdot w (2)

Where:

l – Length of the swimming pool, measured in feet.

h – Depth of the swimming pool, measured in feet.

w – Width of the swimming pool, measured in feet.

V_{c} – Volume of the community swimming pool, measured in cubic feet.

V_{w} – Volume of the wading swimming pool, measured in cubic feet.

The ratio of the volume of the community swimming pool to the volume of the wadling pool is:

\frac{V_{c}}{V_{w}} = \frac{l\cdot w \cdot h}{\left(\frac{1}{2}\cdot l \right)\cdot \left(\frac{1}{2}\cdot h\right)\cdot w} (3)

\frac{V_{c}}{V_{w}} = \frac{1}{\frac{1}{4} }

\frac{V_{c}}{V_{w}} = 4

The volume of the community swimming pool is 4 times greaters than the volume of the wading pool.

8 0
2 years ago
Read 2 more answers
What is an equation of the line that passes through the point (−5,−1) and is parallel to the line 4x+5y=45?
frozen [14]

This gives you, 4x + 5y = -25 as your final answer.
8 0
3 years ago
Read 2 more answers
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