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Kisachek [45]
3 years ago
10

Help is really needed...

Mathematics
1 answer:
ANTONII [103]3 years ago
6 0

Answer:

240m^3

Step-by-step explanation:

Volume = length x width x height.

5x12x4= 240

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Prove that the statement (ab)^n=a^n * b^n is true using mathematical induction.
mamaluj [8]

Answer:

see below

Step-by-step explanation:

      (ab)^n=a^n * b^n

We need to show that it is true for n=1

assuming that it is true for n = k;

(ab)^n=a^n * b^n

( ab) ^1 = a^1 * b^1

ab = a * b

ab = ab

Then we need to show that it is true for n = ( k+1)

or (ab)^(k+1)=a^( k+1) * b^( k+1)

Starting with

  (ab)^k=a^k * b^k    given

Multiply each side by ab

ab *  (ab)^k= ab *a^k * b^k

   ( ab) ^ ( k+1) = a^ ( k+1) b^ (k+1)

Therefore, the rule is true for every natural number n

5 0
3 years ago
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If you put a $160 coat on layaway and make a 25% deposit, what is the balance owed?
Anna71 [15]
25% of $160

= (25/100) * 160

= 0.25 * 160

= 40

$40 paid.

Balance owed = $160 - $40 = $120

Balance owed = $120
7 0
3 years ago
Brenda considers geometric figures and concepts that are related to lines. Which terms are considered undefined?
Umnica [9.8K]

Answer:

A, C, F

Step-by-step explanation:

4 0
3 years ago
Need help with the last three asap
Sunny_sXe [5.5K]
13) Angle 1= 54 Angle 2=36
14) Angle 1=122 Angle 2=58
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Attached is the work
Hope this helps!

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Find the 6th term of a geometric sequence with t1=5 and r = -1/2
Hoochie [10]
In this item, we are to calculated for the 6th term of the geometric sequence given the initial value and the common ratio. This can be calculated through the equation,
   
                 An = (A₀)(r)ⁿ ⁻ ¹ 
where An is the nth term, A₀ is the first term (in this item is referred to as t₀), r is the common ratio, and n is the number of terms. 

Substitute the known values to the equation,

                   An = (5)(-1/2)⁶ ⁻ ¹
                   An = -5/32

Hence, the answer to this item is the third choice, -5/32. 
5 0
3 years ago
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