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borishaifa [10]
3 years ago
7

Name the properties that were used to derive the properties of logarithms.

Mathematics
1 answer:
Sonja [21]3 years ago
5 0
The properties that were used to derive the properties of logarithms are:
1. a^x · a^y = a^(x+y)   2. a^x / a^y = a^(x - y)   3. a^0 = 1   4. a^(-x) = 1 / x   5. (a^x)^y = a^(<span>xy)</span>

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Solve.<br> -|-10|+ (-3) + |5|=<br> A. -18<br> B-8<br> C. 8<br> D. 12<br> E18
hram777 [196]

Answer:

The answer is for-|-10|+(-3)+|5|=-8 which is B

8 0
3 years ago
(HURRY PLS 100 POINTS)
-BARSIC- [3]

Answer: Currently my battery is about to die but i can answer part A for you real quick!

Step-by-step explanation:

Part A- Scatter plot            Explanation: A scatter uses dots to represent values for two different numeric variables. which fits the data the most.  

6 0
2 years ago
jamie says the value of the expression 1.43 x (-20/39) is close to -0.75. Does jamie's estimate seem reasonable? explain. Jamie'
kherson [118]
Yes. J<span>amie's estimate seem reasonable.
This is because, when we expand the expression </span><span>1.43 x (-20/39) we get;

</span><span>1.43 x (-20/39) = -0.73333... (3 is repeating)

Her estimate was -0.75 while the actual answer is </span>-0.73333...
This is a good estimate since the difference is 0.016666.... which is negligible. 
3 0
4 years ago
In the figure below , ABCD is a square . Points are chosen on each pair of adjacent sides of ABCD to form 4 congruent right tria
Lostsunrise [7]

Answer:

5/9 of the area of square ABCD is shaded

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

To find out what fraction of the area of square ABCD is shaded, divide the shaded area by the total area of square ABCD

step 1

Find out the area of square ABCD

The area of a square is

A=b^{2}

where

b is the length side of the square

we have

b=(x+2x)=3x\ units

so

A=(3x)^{2}

A=9x^2\ units^{2}

step 2

Find out the area of the 4 congruent right triangles

A=4[\frac{1}{2}(x)(2x)]=4x^{2}\ units^2

step 3

Find out the area of the shaded region

The area of the shaded region is equal to the area of square ABCD minus the area of the 4 congruent right triangles

so

A=9x^2-4x^{2}=5x^{2}\ units^{2}

step 4

Divide the shaded area by the total area of square ABCD

\frac{5x^{2}}{9x^{2}} =\frac{5}{9}

therefore

5/9 of the area of square ABCD is shaded

7 0
3 years ago
3. A 24.000-gallon pool is being filled at a rate of 40 gallons per minute. At this rate, how many
Nataliya [291]

Answer:

Step-by-step explanation:

total gallon be filled in one minute =40 gallon

to fill half full you have to fill gallon =24000/2

=12000 gallon

Total time taken to fill 12000 gallon = 12000/40

=300 minutes.

or 5 hours

3 0
3 years ago
Read 2 more answers
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