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Ilya [14]
3 years ago
15

Work out the missing number 1.6 divided by(missing number)= 0.04

Mathematics
1 answer:
andrey2020 [161]3 years ago
6 0
1.6 divided by 40 = 0.04
hope this helped :)
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Greetings. As a beginner, I'm struggling a bit to learn calculus. May I know what is the derivative of x to the power 4 step by
elena-14-01-66 [18.8K]

If you're just starting calculus, perhaps you're asking about using the definition of the derivative to differentiate x^4.

We have

\dfrac{d}{dx} x^4 = \displaystyle \lim_{h\to0} \frac{(x+h)^4 - x^4}h

Expand the numerator using the binomial theorem, then simplify and compute the limit.

\dfrac{d}{dx} x^4 = \displaystyle \lim_{h\to0} \frac{(x^4+4hx^3 + 6h^2x^2 + 4h^3x + h^4) - x^4}h \\\\ ~~~~~~~~ = \lim_{h\to0} \frac{4hx^3 + 6h^2x^2 + 4h^3x + h^4}h \\\\ ~~~~~~~~ = \lim_{h\to0} (4x^3 + 6hx^2 + 4h^2x + h^3) = \boxed{4x^3}

In general, the derivative of a power function f(x) = x^n is \frac{df}{dx} = nx^{n-1}. (This is the aptly-named "power rule" for differentiation.)

3 0
2 years ago
Use the information giving in the figure to find the length FH. If applicable, round your answer to the nearest whole number.
Dimas [21]

9514 1404 393

Answer:

  FH = 16

Step-by-step explanation:

ΔGHE is a 5-12-13 triangle.

ΔEHF is a 3-4-5 triangle with a scale factor of 4, so side FH is 4·4 = 16 units.

_____

(3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17) are all commonly used Pythagorean triples. The first two on the list are used in these triangles.

If you like, you can work out the numbers using the Pythagorean theorem, which tells you the square of the hypotenuse is equal to the sum of the squares of the other two sides.

For ΔEHG, that is ...

  GE² = EH² + HG²

  13² = EH² + 5²

  EH² = 13² -5² = 169 -25 = 144

And for ΔEHF, ...

  FE² = EH² +HF²

  20² = 144 + HF²

  400 -144 = HF² = 256

  HF = √256 = 16

The length of side FH is 16 units.

5 0
2 years ago
The value of the expression 4 square root of 81^3 is ______.
Paladinen [302]

Answer:

If its written as the fourth root of (81^3) the answer is 27.

6 0
3 years ago
Read 2 more answers
The exterior angle measure of a regular polygon is 20 degrees. How many sides does the polygon have? 9 16 18 20
notka56 [123]
The polygon would have 18 sides. Hope this helps!
8 0
3 years ago
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Can any one help with this
natka813 [3]

Answer:

I know this isn't the whole answer but basicely just keep doing this to find the y-incercept

slope=-2.46

Hope This Helps!!!

4 0
2 years ago
Read 2 more answers
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