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mario62 [17]
3 years ago
9

How do you simplify (1/2)^4

Mathematics
2 answers:
Lady bird [3.3K]3 years ago
6 0

Answer:

1/16

Step-by-step explanation:

Igoryamba3 years ago
4 0
(1/2)^4=1/2*1/2*1/2*1/2=1/16=0.0625

Since the first number is 1, it will remain 1 at the end. So we have to find the bottom number to the power of four.

2^4=2*2*2*2

This can be simplified to equal

2^4=4*4

Which equals to 16. So we know the final equation will be equal to 1/16
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The average weekly salary of two employees is $5250. One makes $500 more than the other. Find their salaries.
irga5000 [103]

Answer: thier salaries are $5000 and $5500

Step-by-step explanation:

Let the average weekly salary of one employee be =x

And that of the other employee be = x+500

Such that if thier average of their salaries= $5250

So, their total salary=  $5250 x 2=10,500

The  equation  to solve each employee salary becomes

x+x+500=10,500

2x+500=10,500

2x=10,500-500

2x=10,000

x=10,000 /2

x= first employee salary =$5000

second employee =   x+500 =$5500

3 0
3 years ago
How many 3 digit numbers are possible when a) the leading digit cannot be zero and the number must be a multiple of 4?
guajiro [1.7K]

Step-by-step explanation:

I assume the digits can be repeated.

so, e.g. 555 is a valid number for this problem, right ?

that means we start with permutations with repetition :

n^r

n = the total number of items to pick from.

r = the number of items being picked per result.

we have 10 digits (0,1,2,3,4,5,6,7,8,9), and we pick 3 of them.

that gives us (with very little surprise, I hope)

10³ = 1000 different possible numbers from 000 to 999.

from these numbers we eliminate all with leading 0.

as we handled all digits the same way and with the same priority, there is the same amount of numbers for every digit in the leading position.

that means 1/10 of the total amount of numbers has a leading 0, or a leading 1, or a leading 2, ...

so, we need to subtract 1/10 × 1000 from 1000 :

1000 - 1000×1/10 = 1000 - 100 = 900

that would be the numbers 100 to 999.

and we have one more condition : the number must be a multiple of 4.

how many are there ?

well, that's the funny thing about numbers : from all numbers 1/2 of them are multiples of 2 (or divisible by 2), 1/3 of them are multiples of 3 (or divisible by 3), and ... you guessed it, 1/4 of them are multiples of 4 (or divisible by 4). and so on.

and so, 1/4 of our 900 numbers are multiples of 4 :

1/4 × 900 = 225

so, there are 225 possible 3-digit numbers that are multiples of 4 and do not start with a 0.

6 0
2 years ago
Determine the measure of angle j: angle k: & angle: l
Vikki [24]

Answer:

17=J

L= 180-17

 = 163

K=163

L=163

J=17

Step-by-step explanation:

3 0
2 years ago
Graph a line that contains the point (4, 3) and has a slope of 1/2
Lapatulllka [165]

Answer:

y=1/2x+1

Step-by-step explanation:

one dot on the 1 on the y axis

then more one unit up and two units to the left

and then from the first point (0,1) go one unit down

and two to the right. then make the line with the three points

3 0
3 years ago
12c + 12 (3/4c) + 12 (1/2c) shows the total cost for buying 3 phones that each cost c dollars per month for 12 months.
alisha [4.7K]

Answer:

c(12 + 9 + 6)

12(2.25c)

Step-by-step explanation:

12c + 12 (3/4c) + 12 (1/2c)

12(1c) + 12(3/4c) + 12 (1/2c)

12(c + 3/4c + 1/2c)

12(2 1/4c)

12(2.25c)

Or

12c + 12 (3/4c) + 12 (1/2c)

12c + 9c + 6c

c(12 + 9 + 6)

6 0
2 years ago
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