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Wittaler [7]
2 years ago
9

Please can anyone send a question in law of indices I really need it now​

Mathematics
1 answer:
DaniilM [7]2 years ago
6 0

Answer:

I think this is a pretty good question of law of indices

Step-by-step explanation:

Given that

(9^p)(27^q)=3^n\\

a) express n in terms of p and q ,

b) hence if p = 1 and q = 2 find the value of n

Solution to part a)

(9^p)(27^q)=3^n\\\\

Simplify the equation and how do we do that? As we can see that 9 can also be written as 3^2 and 27 can be written as 3^3 we can rewrite the following equation like this,

(3^2)^p(3^3)^q=3^n\\

now we multiply p with 2 and

multiply q with 3 respectively,

(3^{2p})(3^{3q})=3^n\\

now since the bases are same and are multiplying the exponents will add themselves like this, in this equation the number 3 is the base

3^{2p+3q}=3^n\\

now since the bases on the left hand side and on the right hand side are equal the exponents will also be equal so now,

2p+3q=n\\

hence n is expressed in terms of p and q

Solution to part b)

if p = 1 and q = 2 we plug in these values in the above equation we found for n

n = 2p + 3q

n = 2(1) + 3(2)

n = 2 + 6

n = 7

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mote1985 [20]

Answer:

There are infinite solutions of x such as 0,1,2 ...

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i.e x€[0,∞)

3 0
1 year ago
I have some questions regarding combinations in finite. Here is my first one I am stumped on:
podryga [215]

We will get the number of possible selections, and then subtract the number less than 25 cents.

We can choose the number of dimes 5 ways 0,1,2,3 or 4.
We can choose the number of nickels 4 ways 0,1,2 or 3.
We can choose the number of quarters 3 ways 0,1, or 2.

That's 5*4*3  = 60 selections 

Now we must subtract from the 60 the number of selections of coins that are less than 25 cents. These will involve only dimes and nickels. 

To get a selection of coin worth less than 25 cents:
If we use no dimes, we can use 0,1,2  on all 3 nickels.
That's 4 selections less than 25 cents. (that includes the choice of No coins at all in the 60, which we must subtract).

If we use exactly 1 dime , we can use 0,1,2, or all 3 nickels.
That's the 3 combinations less than 25 cents.

And there is 1 other selection less than 25 cents, 2 dimes and no nickels. 

So that's 4+3+1 = 8 selections which we must subtract from the 60.
 
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8 0
3 years ago
BRAINLIST ASAP
kifflom [539]

Answer:

25.50

Step-by-step explanation:

-5 notebooks $2 each

-4 pencils $1.50 each

-2 packs of markers $3.75 each

5(2)+4(1.50)+2(3.75)

$23.5

23.5 times 8.5/100

1.9975

plus 23.5

25.4975

rounded to 25.50

6 0
2 years ago
Suppose you have the following recursion formula a1 = 1, a2 = 2, and an = a(n - 1)+ a(n - 2) for integers n ≥ 3. How would you d
Firlakuza [10]
\left\{\begin{array}{ccc}a_1=1\\a_2=2\\a_n=a_{n-1}+a_{n-2}&for\ n\geq3\end{array}\right\\\\a_3=a_{3-1}+a_{3-2}=a_2+a_1\to a_3=2+1=3\\\\a_4=a_{4-1}+a_{4-2}=a_3+a_2\to a_4=3+2=5\\\\a_5=a_{5-1}+a_{5-2}=a_4+a_3\to a_5=5+3=8\\\vdots
6 0
3 years ago
PLeAsE sEnD hElP !!!!!!!!!!!!!!!!
Luba_88 [7]

Answer:

5 units

Step-by-step explanation:

If DG, EG and FG are perpendicular bisectors of the sides of triangle ABC, then point G is the circumcenter of the triangle ABC and

BG = AG = CG as radii of the circumcirle.

Consider right triangle BEG. By the Pythagorean theorem,

BG^2=EG^2+BE^2\\ \\BG^2=4^2+3^2\\ \\BG^2 =16+9\\ \\BG^2=25\\ \\BG=5\ units

This gives us that

AG = BG = 5 units

3 0
2 years ago
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