What is ( √2 - √3 )² =
Answers
just use FOIL (First, Outer, Inner, Last).
( √2 - √3 ) X ( √2 - √3 )
First: √2 X √2 = 2
Outer: √2 X -√3 = -√6
Inner: -√3 X √2 = -√6
Last: -√3 X -√3 = 3
and then add them together.
2 - √6 - √6 + 3
5 - 2(√6)
The answer is 5 - 2(√6) .
=5-2(square root of 6)
or 0.1
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If 4x+3=9x-4 then x =
Thomas opened a savings account with an annual interest rate of 7% and an initial deposit of $5000. If his interest is compounded quarterly, how much is in Thomas’s account after 4 years? Round your answer to the nearest cent.interest compounded quarterly: A = P(1+r/4)
Convert y=x squared +64x + 12 into graphing form
Solve the simultaneous equations:6x-4y=392x+y=6
Answers
the height of the previous bounce. Let n = bounce number. Before the ball is
dropped, n = 0, because the ball has not yet bounced. Which explicit formula
represents the height of the ball after n bounces?
Answers
Final answer:
The height of the ball after n bounces is given by the formula a_n = 12 * 0.75^(n - 1). This formula represents a geometric sequence where each height is 75% of the previous height.
Explanation:
The height the bouncy ball reaches after each bounce is a geometric sequence, where each subsequent height is found by multiplying the previous height by the common ratio, 75%, or 0.75. The initial term is the original height from which the ball is dropped, which is 12 meters.
The explicit formula for a geometric sequence is a_n = a_1 * r^(n - 1). Replacing a_1 with 12 (the initial height), r with 0.75 (the common ratio), and n with the bounce number, the explicit formula to find the height of the ball after n bounces is a_n = 12 * 0.75^(n - 1).
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Answer:
Max. height following bounce # n is 12(¾)n because each prior height is multiplied by three fourths.
Step-by-step explanation: it jus is
Answers
2x+ 4 = 14 2x + 4 = -14
x = 5 or x = - 9
2*5 = 10 +4 = 14 Yes
2*-9 = -18 + 4 = - 14 Yes
2x > 10 2x < - 18
X > 5
X < -9
Answers
The given color printer prints 136 pages in 17 minutes with a rate of 8 pages per minute.
Given that,
A color printer will print 8 pages per minute how many minutes will it take to print a report that has 136 pages is to be determined.
What is the rate of change?
Rate of change is defined as the change in value with rest to the time is called rate of change.
Here,
rate of printing = 8 pages / minute
Now, for the printing of 136 pages,
Time = 136 / 8 = 17 minutes
Thus, the given color printer prints 136 pages in 17 minutes with a rate of 8 pages per minute.
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Answers
Minute: 12
So about 3:17 to 3:18
3:17/18
Hour: 3, 1/4
Minute: 3, 1/4
3, 1/4 means it's on 3 and a quarter passed through :)
Answers
Answer:
y = 3/4 or y = -3/5
Step-by-step explanation:
Solve for y:
(8 y - 6) (10 y + 6) = 0
Hint: | Find the roots of each term in the product separately.
Split into two equations:
8 y - 6 = 0 or 10 y + 6 = 0
Hint: | Look at the first equation: Factor the left hand side.
Factor constant terms from the left hand side:
2 (4 y - 3) = 0 or 10 y + 6 = 0
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides by 2:
4 y - 3 = 0 or 10 y + 6 = 0
Hint: | Isolate terms with y to the left hand side.
Add 3 to both sides:
4 y = 3 or 10 y + 6 = 0
Hint: | Solve for y.
Divide both sides by 4:
y = 3/4 or 10 y + 6 = 0
Hint: | Look at the second equation: Factor the left hand side.
Factor constant terms from the left hand side:
y = 3/4 or 2 (5 y + 3) = 0
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides by 2:
y = 3/4 or 5 y + 3 = 0
Hint: | Isolate terms with y to the left hand side.
Subtract 3 from both sides:
y = 3/4 or 5 y = -3
Hint: | Solve for y.
Divide both sides by 5:
Answer: y = 3/4 or y = -3/5