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2 years ago

12

Increase £101 by 16% give ur answer rounded to 2 dp

1 answer:

Dvinal [7]2 years ago

8 0

Answer:

117.16

Step-by-step explanation:

Multiply 101 by .16 and then you add it to 101.

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Evaluate : limx→ tan2-sin2x x3

GrogVix [38]

Given:

$\lim _{x\to0}\frac{\tan 2x-\sin 2x}{x^3}$

Solve:

$\lim _{x\to0}\frac{\tan 2x-\sin 2x}{x^3}$

Use l'hopital's rule:

$\begin{gathered} =\lim _{x\to0}\frac{\frac{d}{dx}(-\sin 2x+\tan 2x)}{\frac{d}{dx}(x^3)} \\ =\lim _{x\to0}\frac{-2\cos (2x)+2\tan ^2(2x)+2}{3x^2} \end{gathered}$

Simplify:

$\begin{gathered} =\lim _{x\to0}\frac{-2\cos (2x)+2\tan ^2(2x)+2}{3x^2} \\ =\lim _{x\to0}\frac{2(-\cos (2x)+\tan ^2(2x)+1)}{3x^2} \end{gathered}$

Apply the constant multiple rule:

$\begin{gathered} \lim _{x\to0}cf(x)=c\lim _{x\to0}f(x) \\ \text{With c=}\frac{2}{3} \\ f(x)=\frac{-\cos (2x)+\tan ^2(2x)+1}{x^2} \end{gathered}$ $\begin{gathered} =\frac{2\lim _{x\to0}\frac{-\cos (2x)+\tan ^2(2x)+1}{x^2}}{3} \\ =\frac{2\lim _{x\rightarrow0}\frac{(4\tan ^2(2x)+4)\tan (2x)+2\sin (2x)}{2x}}{3} \end{gathered}$

Similary :

$\begin{gathered} =\frac{2\lim _{x\to0}(2\cos (2x)+12\tan ^4(2x)+16\tan ^2(2x)+4)}{3} \\ =\frac{2(6)}{3} \\ =4 \end{gathered}$

8 0

1 year ago

Miles and kilometers are twi different scales for measuring distances. A 5-kilometer race is approximately 3.1 miles, and a 10-k

sveta [45]

Answer:

$x=\dfrac{y}{0.62}$

Step-by-step explanation:

$5\ \text{km}=3.1\ \text{miles}\\\Rightarrow 1\ \text{km}=\dfrac{3.1}{5}=0.62\ \text{miles}$

$10\ \text{km}=6.2\ \text{miles}\\\Rightarrow 1\ \text{km}=\dfrac{6.2}{10}=0.62\ \text{miles}$

Let $y$ be the distance in miles. So distance in km is given by

$x=\dfrac{y}{0.62}$ .

The equation that shows the approximate distance in kilometers as a function if the distance in miles is $x=\dfrac{y}{0.62}$ .

7 0

3 years ago

PLEASE HELP! Will give the BRAINLIEST!!

Anton [14]

Answer:

7

Step-by-step explanation:

448 divided by 32 is 14 so then do 14 times 1/2 to get 7 centimeters

6 0

3 years ago

it took a car 3dyas to travel 2910 miles. what’s the cars average speed in miles per hour.round to the nearest mile per hour ?

Margaret [11]

The answer to this question is 40 miles per hour.

:)

3 0

2 years ago

1. <br>Solve the quadratic equation using quadratic formula :<br><br>x2 – 7x + 12 = 0

frez [133]

Answer:

x = 4 and 3

Step-by-step explanation:

[7±√(-7)²-4(1)(12)]/2

x = 4, 3

3 0

2 years ago