(6^4/12^4)^2 as a single power
Answers
Answer: 6^8 / 12^8
Step-by-step explanation:
To simplify the expression (6^4/12^4)^2 as a single power, you can use the properties of exponents.
First, simplify the numerator and denominator separately:
(6^4/12^4)^2 = (6^4/12^4) * (6^4/12^4)
Now, use the fact that (a/b)^2 = a^2 / b^2:
= (6^4 * 6^4) / (12^4 * 12^4)
Next, use the properties of exponents to combine the like bases:
= 6^(4+4) / 12^(4+4)
= 6^8 / 12^8
Now, you can simplify further by dividing both the numerator and denominator by a common power of 12 (in this case, 12^8):
= (6^8 / 12^8) / (12^8 / 12^8)
= (6^8 / 12^8) / 1
= 6^8 / 12^8
So, (6^4/12^4)^2 simplifies to 6^8 / 12^8 as a single power.
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balance in the account after the 4 years.
Answers
With the information given, you can make the expression 2000*3.5%*4, because the interest in a year is 3.5% of 2000 and it goes for four years.
Change 3.5% to 0.035:
2000*0.035*4
Multiply:
70*4
280
To find the total balance, add 2,000 to the amount of interest earned, 280.
2000+280=2280.
Therefore, after the 4 years pass, the account balance is $2280.
Answers
Answer
49.67mph
Step-by-step explanation:
Data: 53 miles
1 hour 4 minutes.
Convert 4 minutes to hours:
4/60 = .067
Add like terms (hours)
1+ 0.067= 1.067
mph = m/h
mph = 53/1.067 = 49.67mph
The average speed of the car will be 49.67mph.
What is speed?
The speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. The speed is a scalar quantity and does not require any direction to represent it.
Given that Chloe drives from her house to her grandma's house 53 miles away in an hour and 4 minutes. The speed will be calculated by using the formula below:-
Distance traveled = 53 miles
Time = 1 hour 4 minutes.
Convert 4 minutes to hours:
4/60 = .067
Add like terms (hours)
1+ 0.067= 1.067
Now the speed will be:-
Speed = Distance / Time
Speed = 53 / 1.067
Speed = 49.67 mph
Therefore, the average speed of the car will be 49.67mph.
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Answers
Answer:
y = 2x + 11
Step-by-step explanation:
Slope-intercept form (y=mx+b) of linear equations highlights the slope (m) and the y-intercept (b) of a line.
Slope = m = rise/run = (y2-y1)/(x2-x1) = (15-21)/(2-5) = -6/-3 = 2
substitute 2 back into the equation.
y = mx + b
y = 2x + b
use one of the provided points to solve for b.
y = 2x + b
15 = 2(2) + b
15 = 4 + b
11 = b
y = 2x + 11
5. 2x-y = -7
Answers
Answer:
Step-by-step explanation:
Hope this helps.
Answers
Final answer:
To calculate the number of newspapers per hour, divide the total number of newspapers in a week by the number of hours in a week.
Explanation:
To calculate the number of newspapers per hour, we need to know the number of hours in a week. There are 24 hours in a day and 7 days in a week, so there are 24 x 7 = 168 hours in a week. To find the number of newspapers per hour, we divide the total number of newspapers in a week by the number of hours in a week. In this case, 168 newspapers divided by 168 hours will give us 1 newspaper per hour.
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Piano Tempo
What is the tempo, in beats per minute, of the piano?
beats per minute
Answers
Answer:
100 beats per minute
Step-by-step explanation:
If it takes 28.8 secs for the piano to play 48 beats, then it would take 60 secs (1 minute) to play x number of beats.
To find the value of x, which is the number of beats the piano makes per minute, let's set the proportion as shown below:
28.8 secs = 48 beats
60 secs = x beats
Cross multiply
28.8*x = 60*48
28.8x = 2,880
Divide both sides by 28.8
x = 2,880/28.8
x = 100
✅Thus, if the Piano plays 48 beats in 28.8 secs, therefore, the tempo of the piano in beats per minute would be 100 BPM