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3 years ago

7.37×10 with an exponent of nine

Mathematics

1 answer:

Harman [31]3 years ago

6 0

Answer:

We get 6 x10^7 with a 4dp of 9599

9599

/ \

29 331

Step-by-step explanation:

Rounded to 4dp

64151584.9599

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What would be the absolute deviation of 5,18,6,18,13?

-BARSIC- [3]

37 is the correct answer

8 0

3 years ago

Find the equation of the normal of the curve at the given points :D thankiewss

Ahat [919]

We want to find the equation of the normal line of $y=\dfrac{20-x}{3x}$ at the point $P=(x_0,y_0)$ , where $y_0=3$ . First calculate $x_0$ . We have:

$y_0=f(x_0)=\dfrac{20-x_0}{3x_0}\\\\\\3=\dfrac{20-x_0}{3x_0}\quad|\cdot3x_0\\\\\\3\cdot3x_0=20-x_0\\\\9x_0=20-x_0\\\\9x_0+x_0=20\\\\10x_0=20\quad|:2\\\\\boxed{x_0=2}$

Now, when we know that $P=(x_0,y_0)=(2,3)$ we can write an equation of the normal line as:

$\boxed{y-y_0=-\dfrac{1}{f'(x_0)}(x-x_0)}$

Calculate $f'(x_0)$ :

$f'(x)=\left(\dfrac{20-x}{3x}\right)'=\left(\dfrac{20}{3x}\right)'-\left(\dfrac{x}{3x}\right)'=\dfrac{20}{3}\cdot\left(\dfrac{1}{x}\right)'-\left(\dfrac{1}{3}\right)'=\\\\\\=\dfrac{20}{3}\cdot\left(-\dfrac{1}{x^2}\right)-0=\boxed{-\dfrac{20}{3x^2}}\\\\\\\\f'(x_0)=f'(2)=-\dfrac{20}{3\cdot2^2}=-\dfrac{20}{3\cdot4}=-\dfrac{20}{12}=\boxed{-\frac{5}{3}}$

and the equation of the normal line:

$y-y_0=-\dfrac{1}{f'(x_0)}(x-x_0)\\\\\\y-3=-\dfrac{1}{-\frac{5}{3}}(x-2)\\\\\\y-3=\dfrac{3}{5}(x-2)\\\\\\y-3=\dfrac{3}{5}x-\dfrac{6}{5}\\\\\\y=\dfrac{3}{5}x-\dfrac{6}{5}+3\\\\\\\boxed{y=\dfrac{3}{5}x+\dfrac{9}{5}}$

4 0

3 years ago

200÷10+50×100=______

yan [13]

Answer:

5020

Step-by-step explanation:

is it correct?

4 0

3 years ago

Read 2 more answers

Lydia bought a shirt at 20% off its retail price of $40. She paid 5% tax on the price after the discount. How much did Lydia pay

lys-0071 [83]

$33.60. 20% of 40 is 8. 40 minus 8 is 32. 5% of 32 is 1.60, with a sum of 33.60, the total for the shirt.

7 0

4 years ago

TEN POINTS:

neonofarm [45]

Answer:

81/16 = 5 1/16

Step-by-step explanation:

-4(square root of x) -3 = -12

Add 3 to both sides

-4(square root of x) = -12 +3 = -9

Divide both sides by -4

(square root of x) = -9/-4

-/- equals +

(square root of x) = 9/4

Square both sides to cancel the square root

x = (9/4)^2 = 81/16 = 5 1/16

3 0

3 years ago