Question # 17 Solution
Answer:
Step-by-step Explanation:
The given expression
And we have to solve for x₁
So,
Lets solve for x₁.
Multiply both sides by x₂ - x₁
Divide both sides by -m
Therefore,
Question # 23 Solution
Answer:
Step-by-step Explanation:
The given expression
And we have to solve for n
So,
Let's solve for n.
Multiply both sides by b.
Factor out n.
Divide both sides by -b + x.
Therefore,
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Step-by-step explanation:
U = (x - 5)
V = y^3
because we follow the rule
(U+V)^2 = U^2 + 2UV + V^2
factor the expression will be
<span>D) 9.0 x 10^10 km
This is more an exercise in handling scientific notation than anything else. Since we have the distance that light travels in 1 second and we want to calculate how far it travels in 5 minutes, we must first calculate how many seconds are in 5 minutes. Simply multiplying 5 by 60 gives us 300 seconds. Now we need to multiply 300 by 3.0x10^8 km. So
300 * 3.0x10^8 = ?
We could first convert 300 into scientific notion, but it's easier to just leave it along and assume that it's 300 x 10^0. So 300 times 3 is 900. And since 0 plus 8 is 8, we have as the answer:
900 x 10^8
But we're not done. The significand has to be greater than or equal to 1 and less than 10. So let's divide 900 by 100 and add 2 to the exponent. So we get
9 x 10^10
Finally, since our data had 2 significant figures, our result should have that as well. So let's add the 2nd digit getting:
9.0 x 10^10
So we know that light travels 9.0x10^10 km in 5 minutes, and that answer matches option "D" from the available choices.</span>
Answer:
735 seconds
Step-by-step explanation:
Hope this helps! <3
Answer:
$100
Step-by-step explanation:
Simple Interest formula is given as:
A = P(1 + rt)
Where
A = Amount after t years
P = Principal = Initial Amount Invested = $2000
r = Interest rate in t years = 5%
t = time = 1 year
A = 2000(1 + (0.05 × 1)) = 2100
A = $2,100.00
The Amount after 1 year = $2100.00
The Simple Interest is calculated as
= A - P
= $2100 - $2000
= $100
Therefore, after 1 year her investment would have paid $100