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egoroff_w [7]
3 years ago
5

O(d)'? Which expression is equivalent to

Mathematics
1 answer:
padilas [110]3 years ago
5 0

Answer:

<h2><em><u>2nd</u></em><em><u> </u></em><em><u>Option</u></em><em><u>:</u></em></h2>

\frac{1}{ {a}^{42} }

Step-by-step explanation:

{( {r}^{ - 7}) }^{6}

<em><u>Since</u></em><em><u>,</u></em>

{( {a}^{x}) }^{y}  =  {a}^{xy}

<em><u>Then</u></em><em><u>,</u></em>

=  {r}^{ (- 7 \times 6)}  =  {r}^{ - 42}

<em><u>Since</u></em><em><u>,</u></em>

{a}^{ - 1}  =  \frac{1}{a}

<em><u>Then</u></em><em><u>,</u></em>

=  {r}^{ - 42}  =  \frac{1}{ {r}^{42} }

<em><u>Therefore</u></em><em><u>, </u></em>

<em><u>2nd</u></em><em><u> </u></em><em><u>Option</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>correct</u></em><em><u>. </u></em>

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3 / m + 4 - 4 / m = 6 (i) Show that this equation can be written as 6m^2 + 25m+16= 0
Evgen [1.6K]

Answer:

Proved Below

Step-by-step explanation:

\sf \frac{3}{m+4} - \frac{4}{m} = 6\\LCM = m(m+4)\\Multiplying \ both \ sides \ by\ m(m+4)\\3m - 4(m+4) = 6m(m+4)\\3m-4m-16 = 6m^2+24m\\-m-16 = 6m^2+24m\\Adding\ m\ to\ both\ sides\\-16 = 6m^2+24m+m\\-16 = 6m^2+25m\\Adding \ 16 \ to \ both \ sides\\0 = 6m^2+25m+16\\OR\\6m^2+25m+16 = 0

Hence, Proved that \sf \frac{3}{m+4} - \frac{4}{m} = 6 is equivalent to \sf 6m^2+25m+16 = 0.

6 0
3 years ago
Read 2 more answers
Solve the following inequality algebraically. ∣x−5∣≤11
Serga [27]

Answer:

-6 ≤ x ≤ 16

Step-by-step explanation:

First, apply absolute value rule:

x - 5 ≤ 11 and x - 5 ≥ -11

Then, we add 5 on both sides with both inequalities:

x ≤ 16 and x ≥ -6

Finally, combine the inequalities:

-6 ≤ x ≤ 16

And we're done ^^

7 0
3 years ago
Find the volume<br> Pls don’t answer if you don’t know the correct answer.
natulia [17]

can i just get a thank you ? lol

3 0
3 years ago
What are the next three terms in the sequence 1, 7, 13, 19, ... ?
mote1985 [20]

Answer:

The next three terms in the sequence are: 25,31, 37

The required sequence is: 1, 7, 13, 19,25,31, 37

Step-by-step explanation:

We need to find the next three terms in the sequence 1, 7, 13, 19, ...

First we need to find the difference between the terms

If we observe:

First term ; 1

Second term is : 1+6 = 7

Third term is: 7+6 = 13

Fourth term is: 13+6 = 19

So adding 6 to previous term we can find the next term as observed by the pattern

Fifth term will be: 19+6 = 25

Sixth term will be: 25+6 = 31

Seventh term will be: 31+6 = 37

So, the next three terms in the sequence are: 25,31, 37

The required sequence is: 1, 7, 13, 19,25,31, 37

7 0
3 years ago
2/3 divided by 5 is it 2/3 times 1/5=2/15
drek231 [11]

(2/3)/5

Yes. (2/3)/5 is the same as 2/15 because:

(2/3) = (0.67)/5 = 0.133 (continuing)

(2/15) = 0.133 (countinuing)

hope this helps

4 0
3 years ago
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