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ehidna [41]
3 years ago
9

Find a value of (2power-1*4power-1)

Mathematics
1 answer:
rosijanka [135]3 years ago
8 0

2^( - 1 ) × 4^( -1 ) =

2^( -1 ) × 2^( 2 × ( - 1) ) =

2^( - 1 ) × 2^( - 2 ) =

2^( - 1 - 2 ) =

2^( - 3 ) =

1/ 2^( 3 ) =

1/8

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Oxford currently generates 45,000 tons of garbage per year. but the city is launching some recycling initiatives to bring that n
barxatty [35]

Answer:

-Exponential Decay

-Decay factor is (1-0.05)

Step-by-step explanation:

-Given that the number decreases by a defined rate each year from the initial size by 5%,

-This is an exponential decay function of the form:

y=Ae^{-rt}

Where:

y is the quantity/size after time t

A is the initial size

r is the rate of decay

-Our function can the be written as

y=45000e^{-0.05t}

Hence, the decay rate/factor is 0.05

#Alternatively

The exponential decay can be of the form:

y=ab^x

Where:

y is the size at time x, a is the initial size, x is time and b is the decay factor.

b is of the form b=(1-r),\ \  r=decay\  rate

y=ab^x\\\\y=45000(1-0.05)^x

Hence, the decay factor is (1-0.05)

8 0
3 years ago
A culture of bacteria that initially contained 2000 bacteria has a count of 18000 after 2 hrs. Determine the function that expre
melomori [17]

Answer:

y= 8000x + 2000

Step-by-step explanation:

to find the formula we can use the points given in the question:

the slope:

to get the slope we can take the 2 points, (0,2000) and (2,18000) where x values are time and y values are bacteria

now using slope-intercept form we can get \frac{18000-2000}{2-0} which gives a slope of 8000 meaning for each hour there are 8000 new bacteria

intercept:

since we start with 2000 bacteria we know this is the y intercept so when x is 0

formula:

y=8000x + 2000

8 0
2 years ago
It's make-your-own-dish night at your favorite pasta restaurant. The restaurant offers 5 types of pasta and 4 different sauces.
igor_vitrenko [27]

Answer:

there are 20 different combinations if that was the question.

Step-by-step explanation:

Formula :

Combination(event 1) times Combinations (Event2)

8 0
3 years ago
What is 1+1 plz help
Dominik [7]

Answer:

2

Step-by-step explanation:

1+1=2

3 0
3 years ago
What is the value of y?<br> 3( 13 ) + 2y = 9
Alina [70]

Answer:

y=-15

Step-by-step explanation:

...

7 0
3 years ago
Read 2 more answers
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