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sleet_krkn [62]
3 years ago
9

What's the equivalent to log3 729=6

Mathematics
1 answer:
Kaylis [27]3 years ago
3 0
What's the equivalent to log3 729=6

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When making a long distance call from a certain pay phone, the first three minutes of a call cost $2.10. After that, each additi
Sauron [17]

Answer: the number of minutes of long distance call that one can make is lesser than or equal to 12 minutes.

Step-by-step explanation:

Let x represent the number of minutes of long distance call that one makes.

The first three minutes of a call cost $2.10. After that, each additional minute or portion of a minute of that call cost $0.45. This means that if x minutes of long distance call is made, the total cost would be

2.10 + 0.45(x - 3)

Therefore, the inequality to find the number of minutes one can call long distance for $6.15 is expressed as

2.10 + 0.45(x - 3) ≤ 6.15

2.10 + 0.45x - 1.35 ≤ 6.15

0.75 + 0.45x ≤ 6.15

0.45x ≤ 6.15 - 0.75

0.45x ≤ 5.4

x ≤ 5.4/0.45

x ≤ 12

4 0
4 years ago
Suppose a and b are both non zero real numbers. Find real numbers c and d such that 1/a+ib= c+id
Thepotemich [5.8K]

\begin{gathered} c=\frac{a}{a^2+b^2} \\ d=\frac{-b}{a^2+b^2} \end{gathered}

Explanation

\frac{1}{a+bi}=c+di

Step 1

multiplicate by the conjugate

\begin{gathered} \frac{1}{a+bi}\cdot\frac{a-bi}{a+bi}=\frac{a-bi}{(a+bi)(a-bi)}=\frac{a-bi}{a^2-(bi)^2} \\ \frac{1}{a+bi}\cdot\frac{a-bi}{a+bi}=\frac{a-bi}{(a+bi)(a-bi)}=\frac{a-bi}{a^2-(-b^2)}=\frac{a-bi}{a^2+b^2} \end{gathered}

notice that

\begin{gathered} \frac{1}{a+bi}=\frac{a-bi}{a^2+b^2}=\frac{a}{a^2+b^2}-\frac{b}{a^2+b^2}i \\ \frac{a}{a^2+b^2}-\frac{b}{a^2+b^2}i=c+di \\ so \\  \end{gathered}\begin{gathered} c=\frac{a}{a^2+b^2} \\ d=\frac{-b}{a^2+b^2} \end{gathered}

I hope this helsp you

6 0
1 year ago
Solve by factoring<br> x^2-8x-9 = 0
3241004551 [841]

Answer:

the answer is ( x-9) (x+1) = 0

Step-by-step explanation:

more to the solution is x= -1, 9

4 0
3 years ago
Read 2 more answers
Use the balanced scale to find the conversion factor that can be used to convert the number of blocks to the weight of the block
Alexandra [31]

Find Total weight at left side

\\ \sf\longmapsto 6(1lb)=6lbs

Now

Per block weight at right side

\\ \sf\longmapsto \dfrac{6}{4}=1.5lbs

6 0
3 years ago
Convert 3,250 mL to L.<br><br> 3.25 L<br> 0.325 L<br> 3,250,000 L<br> 325,000 L
Sergio [31]

Answer:

3.25 L

Step-by-step explanation:

1L=1000mL

3250ml x1L/1000mL = 3.25L

6 0
4 years ago
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