Answer:
Step-by-step explanation:
So we have the expression:
And we wish to factor it.
First, let's make a substitution. Let's let u be equal to x². Therefore, our expression is now:
This is a technique called quadratic u-substitution. Now, we can factor in this form.
We can use the numbers -3 and -2. So:
For the first two terms, factor out a u.
For the last two terms, factor out a -3. So:
Grouping:
Now, substitute back the x² for u:
And this is the simplest form.
And we're done!
Answer:
1. 625,000 J
2. 100 J
4. 5 kg
5. √5 ≈ 2.236 m/s
Step-by-step explanation:
You should be aware that the SI derived units of Joules are equivalent to kg·m²/s².
To reduce confusion between <em>m</em> for mass and m for meters, we'll use an <em>italic m</em> for mass.
In each case, the "find" variable is what's left after we put the numbers into the formula. It is what the question is asking for. The "given" values are the ones in the problem statement and are the values we put into the formula. The formula is the same in every case.
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1. KE = (1/2)<em>m</em>v² = (1/2)(2000 kg)(25 m/s)² = 625,000 kg·m²/s² = 625,000 J
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2. KE = (1/2)<em>m</em>v² = (1/2)(0.5 kg)(20 m/s)² = 100 kg·m²/s² = 100 J
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4. KE = (1/2)<em>m</em>v²
250 J = (1/2)<em>m</em>(10 m/s)² = 50 m²/s²
(250 kg·m²/s²)/(50 m²/s²) = <em>m</em> = 5 kg
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5. KE = (1/2)<em>m</em>v²
2000 kg·m²/s² = (1/2)(800 kg)v²
(2000 kg·m²/s²)/(400 kg) = v² = 5 m²/s²
v = √5 m/s ≈ 2.236 m/s
Answer:
the rent room in Kathmandu =60000
the rent of five is =5×60000
the total value=300000
find the mean, range ,and median of these values 12,4,-2,0,9.-2,1,7,8,2 recall the range is calculated by finding the difference
Lubov Fominskaja [6]
Put numbers in order
-2,-2,0,1,2,4,7,8,9,12
Mean add all the numbers = 39 divide 39 by the number of of numbers on the list which is 10. 39/10 = 3.9
Mean = 3.9
Range is the number of spots between -2 and 12 = 14
Range =14
Median is the middle number in the list there are two middle numbers 2 and 4. Add these together to get 6. Divide 6 by the number 2 because that is how many numbers you had to add. 6/2=3. The is not on the list but it is the average of the two terms.
Median =3
8X3 equals 24
3x 8 equals 24
Eight rows of 3 =24
3 rows of 8 = 24
