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suter [353]
4 years ago
12

What does double brackets mean in calculus?

Mathematics
1 answer:
Morgarella [4.7K]4 years ago
6 0

The double bracket in calculus is a way of showing alternative of the floor function which is termed to be the one with the greatest integer function or another term is that it is an integer that is lesser or equal to the symbol x.

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Why is the ? in the proportion below equal to QR? Explain why.
Artyom0805 [142]

9514 1404 393

Answer:

  A) SQ is the geometric mean between the hypotenuse and the closest adjacent segment of the hypotenuse.

Step-by-step explanation:

In this geometry, all of the right triangles are similar. That means corresponding sides have the same ratio (are proportional).

Here, SQ is the hypotenuse of ΔSQT and the short side of ΔRQS.

Those two triangles are similar, so we can write ...

  (short side)/(hypotenuse) = QT/SQ = QS/RQ

In the above proportion, we have used the vertices in the same order they appear in the similarity statement (ΔSQT ~ ΔRQS). Of course, the names can have the vertices reversed:

  QT/SQ = SQ/QR . . . . . QS = SQ, RQ = QR

__

When this is rewritten to solve for SQ, we get ...

  SQ² = QR·QT

  SQ = √(QR·QT) . . . . SQ (short side) is the geometric mean of the hypotenuse and the short segment.

8 0
3 years ago
18 less than half a number is 6
sammy [17]

Answer:

48

Step-by-step explanation:

18 less than half a number is 6.

So this is the formula:

X/2 - 18 = 6.

You can add 18 to 6.

X/2 = 24.

You can now multiply by 2.

X=48

8 0
3 years ago
WILL MARK THE CORRECT ANSWER BRAINLIEST!<br><br> Select all the correct answers:
stepladder [879]

Answer:

B, D

Step-by-step explanation:

Solve all equations:

A.

x-3x=-2x+4\\ \\-2x=-2x+4\\ \\0=4

This is false equality, so this equation has no solutions.

B.

x-\dfrac{1}{3}(3x)=0\\ \\x-x=0\\ \\0=0

This equality is true for all values of x, so this equation has infinitely many solutions.

C.

\dfrac{1}{3}x-3=4+2x\\ \\x-9=12+6x\\ \\x-6x=12+9\\ \\-5x=21\\ \\x=-\dfrac{21}{5}

This equation has the unique solution.

D.

3x+2-\dfrac{1}{3}(3x)=2+2x\\ \\9x+6-3x=6+6x\\ \\6x+6=6+6x\\ \\0=0

This equality is true for all values of x, so this equation has infinitely many solutions.

E.

x-\dfrac{1}{3}x+2=0\\ \\3x-x+6=0\\ \\2x=-6\\ \\x=-3

This equation has the unique solution.

8 0
3 years ago
Is 2 squared irrational
White raven [17]
Yes. 2 squared is irrational number because no two of the same numbers multiplied equals 2. Not including decimals either.
4 0
3 years ago
Read 2 more answers
Solve 47 (math operation)
Alchen [17]

Answer:

  t ≈ -2.014 or 3.647

Step-by-step explanation:

Add the opposite of the expression on the right side of the equal sign to put the equation into standard form.

  4.9t² -8t -36 = 0

You can divide by 4.9 to make this a little easier to solve.

  t² -(8/4.9)t -36/4.9 = 0

Now, add and subtract the square of half the x-coefficient to "complete the square."

  t² -(8/4.9)t +(4/4.9)² -36/4.9 -(4/4.9)² = 0

  (t -4/4.9)² -192.4/4.9² = 0 . . . . simplify

Add the constant term, then take the square root.

  (t -4/4.9)² = 192.4/4.9²

  t -4/4.9 = ±(√192.4)/4.9

  t = (4 ± √192.4)/4.9

  t ≈ {-2.014, 3.647}

8 0
3 years ago
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