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Firlakuza [10]
3 years ago
13

Simplify the following expression 2^2•2^3

Mathematics
2 answers:
Goryan [66]3 years ago
4 0

Answer: 2^5

Step-by-step explanation:

2^2 * 2^3 you add the exponents

Sveta_85 [38]3 years ago
4 0

Answer:

32

Step-by-step explanation:

2^2=4

2^3=8

4×8=32

Hope this helps!

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A spy is trying to escape. She must get by four guards. Each guard takes half of her remaining money. She then $64 for her plane
Komok [63]

Answer:

The spy must have at the start the amount of $1,024 in order to escape

Step-by-step explanation:

Let

a ------> amount of money that the spy must have at the start to escape

y ----> the remaining money

x ----> the number of guards

In this problem the remaining money is going to be reduced by half, every time the spy passes through a guard, so we can use an exponential function of the form

y=a(b^{x})

where

a is the initial value (amount of money at the start)

b is the base

b=(1-r)

r is the rate of decay

In this problem we have

r=50% -----> r=0.50

The value of b is

b=(1-0.50)=0.50

substitute

y=a(0.50^{x})

we know that

In order to escape after the fourth guard the amount of money remaining must be equal to $64

so

For x=4, y=$64

substitute in the equation and solve for a

64=a(0.50^{4})

64=a(0.0625)

a=64/(0.0625)

a=\$1,024

therefore

The spy must have at the start the amount of $1,024 in order to escape

5 0
3 years ago
WILL GIVE BRAINLIEST
mafiozo [28]

Answer:

(6x - 1) • (2x + 9)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 ((22•3x2) +  52x) -  9

STEP

2

:

Trying to factor by splitting the middle term

2.1     Factoring  12x2+52x-9  

The first term is,  12x2  its coefficient is  12 .

The middle term is,  +52x  its coefficient is  52 .

The last term, "the constant", is  -9  

Step-1 : Multiply the coefficient of the first term by the constant   12 • -9 = -108  

Step-2 : Find two factors of  -108  whose sum equals the coefficient of the middle term, which is   52 .

     -108    +    1    =    -107  

     -54    +    2    =    -52  

     -36    +    3    =    -33  

     -27    +    4    =    -23  

     -18    +    6    =    -12  

     -12    +    9    =    -3  

     -9    +    12    =    3  

     -6    +    18    =    12  

     -4    +    27    =    23  

     -3    +    36    =    33  

     -2    +    54    =    52    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -2  and  54  

                    12x2 - 2x + 54x - 9

Step-4 : Add up the first 2 terms, pulling out like factors :

                   2x • (6x-1)

             Add up the last 2 terms, pulling out common factors :

                   9 • (6x-1)

Step-5 : Add up the four terms of step 4 :

                   (2x+9)  •  (6x-1)

            Which is the desired factorization

HOPE IT HELPS! :))

8 0
2 years ago
What is 1200 x 1200?<br><br> (this is just becouse i was bored) <br> Plz answer me <br> thx
lawyer [7]

Answer:

\tt{}1.440.000 \\

Step-by-step explanation:

\tt{}1.200 \times 1.200  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \\  \\ \tt{}((12 \times 12) + (0000)) \\  \\ 1.440.000 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \\  \\  \\

3 0
2 years ago
Sean earns $8.50 per hour and made a total of $80.75 today. How many hours did he work?
Vesnalui [34]

Answer: 9.5 hours

In order to solve this, you must divide his total (80.75) by his hourly wage (8.50) When you do that, you get 9.5, so he worked 9.5 hours

Step-by-step explanation:

3 0
3 years ago
Please help me, I will mark as brainliest.
FrozenT [24]
I think it is student 1
7 0
2 years ago
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