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2 years ago

At 9 A.M. You have run 2 miles. At 9:24 A.M. You have run 5 miles. What is your running rate in minutes

Mathematics

1 answer:

Tamiku [17]2 years ago

8 0

Your running rate is 1 mile every 8 minutes. Not bad

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Determine the slope of the graph of the linear<br> equation y = -3/7x + 5.

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The -3/7 would be slope because it is also the one with the x

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2 years ago

R varies inversely as v2 if r=120 when v=1 ,find r when v=10

makvit [3.9K]

<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ r = k/v^2

Substitute the values in:

120 = k/1^2

Multiply both sides by 1^2 to find k

k = 120

Substitute new values in:

r = 120/10^2

Solve:

r = 1.2

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3 years ago

6<br> 4<br> 2<br> Divide (16x - 12x + 4x) by 4x

cricket20 [7]

Answer:2

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Combine like terms and divide

8x/4x

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9 months ago

Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do n

Mazyrski [523]

We can use the fact that, for $|x|$ ,

$\displaystyle\frac1{1-x}=\sum_{n=0}^\infty x^n$

Notice that

$\dfrac{\mathrm d}{\mathrm dx}\left[\dfrac1{1-x}\right]=\dfrac1{(1-x)^2}$

so that

$f(x)=\displaystyle\frac5{(1-x)^2}=5\frac{\mathrm d}{\mathrm dx}\left[\sum_{n=0}^\infty x^n\right]$

$f(x)=\displaystyle5\sum_{n=0}^\infty nx^{n-1}$

$f(x)=\displaystyle5\sum_{n=1}^\infty nx^{n-1}$

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By the ratio test, this series converges if

$\displaystyle\lim_{n\to\infty}\left|\frac{(n+2)x^{n+1}}{(n+1)x^n}\right|=|x|\lim_{n\to\infty}\frac{n+2}{n+1}=|x|$

so the series has radius of convergence $R=1$ .

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2 years ago

8x-5y=21 simultaneous linear equation<br>2x+9y=-5

olya-2409 [2.1K]

Answer:

$x=2$ and $y=-1$

Step-by-step explanation:

If two equations are given, we can solve one of the equation in terms of single variable and put it in the other equation which will further give the value of x and y.

For the given equations:

$8x-5y=21$ Equation:1

$2x+9y=-5$ Equation:2

Solving equation multiply equation 2 with 4 on both the sides

$8x+36y=-20$ Equation 3

Subtracting Equation:3 from Equation:1

$8x-5y-(8x+36y)=21-(-20)\\8x-5y-8x-36y=21+20\\-41y=41\\y=-1$

Putting value of 'y' in Equation:2 which will give the value of x

$2x+9y=-5\\2x+9(-1)=-5\\2x-9=-5\\2x=4\\x=2$

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3 years ago