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shtirl [24]
3 years ago
14

log_{3}(5) \times log_{3}(4 ) " alt=" 3log_{3}(5) \times log_{3}(4 ) " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
olga nikolaevna [1]3 years ago
8 0

Answer:

log3 (500)

Step-by-step explanation:

3 log3 (5) * log3(4)

We know that a log b(c) = log b(c^a)

log3 (5)^3 * log3(4)

We know that log a(b) * log a (c) = loga( b*c)

log3 ((5)^3 * 4)

log3 (125*4)

log3 (500)

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Which property is demonstrated by the following statement?<br><br> 16 + (22 + a) = (16 + 22) + a
lions [1.4K]
The property that is demonstrated is the communative property, i think.
6 0
4 years ago
Read 2 more answers
HELP! BRAINLIST COULD GET 50+ POINTS!!!
mestny [16]

Answer:

B

Step-by-step explanation:

well by rotating  ΔABC  by 60*(degrees) about A , such that in ΔA'B'C,B =C'

you can see that ΔAPP' is equilateral side length 1, meaning that <APP' =60*

you can also see that ΔCPP' is a 30- 60- 90 right angle also meaning that <CPP' =60* now,by adding the two together you see that < ACP =120* now you can also use the law of cosins and soooo

                          s2=(AP)2+(CP)2-2(AP)(CP)cos120*

                                     s2=1+4-2(1)(2)cos120*

                                             s2=5-4 (-1over2)

                                                      s=\sqrt{x} 5+2\\

                                                    7

so b is your answer hope this helped

6 0
3 years ago
What is the relationship between pi, circumstance, and area?
frozen [14]
You use pi in the equation to find the circumference and/or area of a circle.
7 0
4 years ago
Luisa is planning a bridal shower for her best friend. At the party, she wants to serve 3 beverages, 3 appetizers, and 3 dessert
Vladimir79 [104]

Answer:

Luisa can pick the food and drinks to serve at the bridal shower in 15,615,600 different ways.

Step-by-step explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

Also

The order in which the food and drinks are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Beverages:

3 from a set of 15. So

B = C_{15,3} = \frac{15!}{3!12!} = 455

Appetizers:

3 from a set of 10. So

A = C_{10,3} = \frac{10!}{3!7!} = 120

Desserts:

3 from a set of 13. So

D = C_{13,3} = \frac{13!}{3!10!} = 286

How many different ways can Luisa pick the food and drinks to serve at the bridal shower?

By the fundamental counting principle, as beverages, appetizers and desserts are independent:

T = B*A*D = 455*120*286 = 15,615,600

Luisa can pick the food and drinks to serve at the bridal shower in 15,615,600 different ways.

4 0
4 years ago
How do you write 26.2 as a mixed number in simplest form
Arte-miy333 [17]
To write 26.2 as a mixed number in the simplest form, do the following:
26.2 = 26 + 0.2
         = 26 + 2/10

Note that 
\frac{2}{10}= \frac{2 \times 1}{2 \times 5}  = \frac{1}{5}

Therefore
26.2 = 26 \, \frac{1}{5}  \\

Answer:  26 \,  \frac{1}{5}


7 0
3 years ago
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