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Alex73 [517]
3 years ago
6

Simplify the expression x^5 • x^7.

Mathematics
1 answer:
avanturin [10]3 years ago
6 0

Answer:

x^12

Step-by-step explanation:

We know that a^b* a^c = a^(b+c)

x^5 * x^7 = x^(5+7) = x^12

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Please help as soon as possible​
zhuklara [117]

Answer:

d, b + b + 3c and 2b + 3c

Step-by-step explanation:

3 0
2 years ago
Your friend approaches with three, fair 5-sided dice (labeled 1 to 5). You get to roll them and your friend gives you money base
k0ka [10]

Answer:

$1.68 per match

Average Fee = $1.69

Step-by-step explanation:

Given:

- Earnings for all 3 different number = $ 1

- Earnings for 2 same number = $ 2

- Earnings for 3 same number = $ 6

- Five sided fair dice = 3

Find:

- Expected pay-out

- What fee charged per match for 10 cent income

- Reason for change to new match

Solution:

- Construct a probability distribution table, where X: payout per match

            X               $1                    $2                    $6

          P(X)           0.48                 0.48                0.04

Case X = $1 :          _    _   _   All three different numbers

     No.outcomes    5 * 4 * 3 = 60

     Total outcome  5 * 5 * 5 = 125

Hence, P(X= $ 1) = 60 / 125 = 0.48

Case X = $2 :          S    _   S   two numbers are same

     No.outcomes  = 5 * 4 * 1 = 20 per combination

     Total combinations = S _ S + S S _ + _ S S = 3

     Total outcome = 3 * 20 = 60

Hence, P(X= $ 2) = 60 / 125 = 0.48              

Case X = $6 :          S    S   S   two numbers are same

     No.outcomes  = 5 * 1 * 1 = 5 per combination

     Total combinations = 1

     Total outcome = 5 * 1 = 5

Hence, P(X= $ 2) = 5 / 125 = 0.04    

           

- Expected Payout E(X):

      E(X) = 1*0.48 + 2*0.48 + 6*0.04 = $1.68 per match

- To earn $0.01 on average the fee of match is:

      Fee_avg = E(X) + $0.01 = $1.69

- With this new plan your friend would loose less. The expected payout of a match is $1.68 for which the probability X < $ 2 is around = 0.48. However, to gain a $2 or higher P ( X > 2 ) = 0.48 + 0.04 = 0.52. Hence, the week-payout for X > 2 is greater than 7*2 = $14. So probability of week's payout to be $14 is higher than to be $ 11.76 as per average pay per day.

7 0
3 years ago
Trying to do a question for my friend, can't quite figure it out though. Some help would be appreciated!
Troyanec [42]

Answer:

B : 5/6

Step-by-step explanation:

By doing some simple fraction, this would be the only thing that'd be correct!

7 0
2 years ago
Miguel draws a square on a coordinate plane. One vertex is located at (5, 4). The length of each side is 3 units. Circle the let
VMariaS [17]

Answer:

您同性恋

Step-by-step explanation:

8 0
2 years ago
11th grade geometry:
Aliun [14]

Answer:

<em>The perimeter is 72 units and the area is 149 square units.</em>

Step-by-step explanation:

\triangle SBA has coordinates S(15,-8),B(-2,21) and A(0,0)

Using the distance formula.........

Length of side SB = \sqrt{(15+2)^2+(-8-21)^2}= \sqrt{17^2+(-29)^2}= \sqrt{1130}

Length of side BA= \sqrt{(-2)^2+(21)^2}= \sqrt{445}

Length of side AS =\sqrt{(15)^2+(-8)^2}=\sqrt{289}=17

So, the perimeter of the triangle will be:  (SB+BA+AS)= \sqrt{1130}+ \sqrt{445}+17 =71.71... \approx 72 units.   <em>(Rounded to the nearest unit)</em>

The height of the triangle for the corresponding base SB is 8.89 units.

<u>Formula for the Area of triangle</u>,  A= \frac{1}{2}(base\times height)

So, the area of the \triangle SBA will be:  \frac{1}{2}(\sqrt{1130}\times 8.89)= 149.42... \approx 149 square units.   <em>(Rounded to the nearest unit)</em>

3 0
3 years ago
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