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GuDViN [60]
3 years ago
6

How many triangles are in a square

Mathematics
1 answer:
jeka943 years ago
6 0
There are at least two
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What is 4log1/2^w(2log1/2^u-3log1/2^v written as a single logarithm?
IrinaK [193]
Given:

4log1/2^w (2log1/2^u-3log1/2^v)

Req'd:

Single logarithm = ?

Sol'n:

First remove the parenthesis,

4 log 1/2 (w) + 2 log 1/2 (u) - 3 log 1/2 (v)

Simplify each term,

Simplify the 4 log 1/2 (w) by moving the constant 4 inside the logarithm;
Simplify the 2 log 1/2 (u) by moving the constant 2 inside the logarithm;
Simplify the -3 log 1/2 (v) by moving the constant -3 inside the logarithm:

 log 1/2 (w^4)  + 2 log 1/2 (u) - 3 log 1/2 (v) 
log 1/2 (w^4) + log 1/2 (u^2) - log 1/2 (v^3)

We have to use the product property of logarithms which is log of b (x) + log of b (y) = log of b (xy):

Thus,

Log of 1/2 (w^4 u^2) - log of 1/2 (v^3) 

then use the quotient property of logarithms which is log of b (x)  - log of b (y) = log of b (x/y)

Therefore, 

log of 1/2 (w^4 u^2 / v^3)

and for the final step and answer, reorder or rearrange w^4 and u^2:

log of 1/2 (u^2 w^4 / v^3)  
8 0
3 years ago
Read 2 more answers
The rectangle below has an area of 35x^3square meters and a width
arsen [322]

Answer:7x^2

Step-by-step explanation:

3 0
3 years ago
What is the tangent ratio of angle xº?
katovenus [111]

Answer:

option number 2

gfud lzygochcivobisufiblvi

5 0
2 years ago
Read 2 more answers
Find the unit rate: <br><br> Carmen received a paycheck of $350 for 49 hours of work.
Nata [24]

Answer:

Carmen received $7.14 for each hour she worked.

Step-by-step explanation:

$350 for 49 hours of work

Write an equation, with hours as the variable

$350 = 49h

Divide both sides of the equation by 49 to find the unit rate

h = $7.14

Carmen received $7.14 for each hour she worked.

Hope this helps :)

5 0
3 years ago
According to the US Census, the percent of residents aged 65 or older in the 50 states and District of Columbia has mean 13.26%
Over [174]

Answer:

z = -2.13

The standardized score for the state of Colorado is negative and this means the score is smaller than the mean.

Step-by-step explanation:

The above question can be solved using z score.

The formula for z score is given as:

z = (x-μ)/σ,

where

x is the raw score = 9.7%

μ is the population mean = 13.26%

σ is the population standard deviation = 1.67%

z = z score or standardize score

Hence,

z = 9.7 - 13.26/1.67

z = -2.13174

Approximately z = -2.13

Therefore, the standardized z score for the state of Colorado is negative and this indicates that the score is below or smaller than the mean.

5 0
3 years ago
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