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2 years ago

11

Katy ran a mile in 5 minutes. How many seconds are in 5 minutes? Answer without units. *

2 answers:

umka2103 [35]2 years ago

6 0

Answer:

300 i think

Step-by-step explanation:

Colt1911 [192]2 years ago

3 0

Answer:

300 seconds

Step-by-step explanation:

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Find maclaurin series

Mumz [18]

Recall the Maclaurin expansion for cos(x), valid for all real x :

$\displaystyle \cos(x) = \sum_{n=0}^\infty (-1)^n \frac{x^{2n}}{(2n)!}$

Then replacing x with √5 x (I'm assuming you mean √5 times x, and not √(5x)) gives

$\displaystyle \cos\left(\sqrt 5\,x\right) = \sum_{n=0}^\infty (-1)^n \frac{\left(\sqrt5\,x\right)^{2n}}{(2n)!} = \sum_{n=0}^\infty (-5)^n \frac{x^{2n}}{(2n)!}$

The first 3 terms of the series are

$\cos\left(\sqrt5\,x\right) \approx 1 - \dfrac{5x^2}2 + \dfrac{25x^4}{24}$

and the general n-th term is as shown in the series.

In case you did mean cos(√(5x)), we would instead end up with

$\displaystyle \cos\left(\sqrt{5x}\right) = \sum_{n=0}^\infty (-1)^n \frac{\left(\sqrt{5x}\right)^{2n}}{(2n)!} = \sum_{n=0}^\infty (-5)^n \frac{x^n}{(2n)!}$

which amounts to replacing the x with √x in the expansion of cos(√5 x) :

$\cos\left(\sqrt{5x}\right) \approx 1 - \dfrac{5x}2 + \dfrac{25x^2}{24}$

7 0

1 year ago

Tank a has a capacity of 9.5 gallons. 6 1/3 gallons of the tank's water are poured out. how many gallons of water are left in th

Advocard [28]

Answer:

Water left in tank is $3\frac{1}{6}$ gallons.

Step-by-step explanation:

Given :

Capacity of tank = 9.5 gallons $=\frac{95}{10}$

Water taken out of tank = $6\frac{1}{3}=\frac{19}{3}$ gallons

We have to find the water left in the tank.

Water left in the tank = Total capacity of tank - water taken out of tank

= $\frac{95}{10}-\frac{19}{3}$

Taking LCM of (3,10)= 30

$\Rightarrow \frac{95 \times 3-19 \times10}{30}$

Solving further, we get,

$\Rightarrow \frac{285-190}{30}$

$\Rightarrow \frac{95}{30}=\frac{19}{6}=3\frac{1}{6}$

Thus, Water left in tank is $3\frac{1}{6}$ gallons..

5 0

2 years ago

Read 2 more answers

Find the value of a and YZ if Y is between X and Z. XY = 7a, YZ = 5a, XZ = 6a + 24 = YZ =

Aleksandr-060686 [28]

x-y-z

$\\ \sf\longmapsto XY+YZ=XZ$

$\\ \sf\longmapsto 7a+5a=6a+24$

$\\ \sf\longmapsto 12a=6a+24$

$\\ \sf\longmapsto 12a-6a=24$

$\\ \sf\longmapsto 6a=24$

$\\ \sf\longmapsto a=\dfrac{24}{6}$

$\\ \sf\longmapsto a=5$

YZ=5a=5(5)=25

5 0

2 years ago

In the early spring, the trout at Big Blue Lake swim at a depth of 30 feet below sea level. When the lake warms up in the summer

Pavel [41]

-50 feet because you have to add 2 to 30 and since it is below sea level, it is a negative

3 0

2 years ago

A=867.456 b=9846.5579<br><br>axb

MAXImum [283]

Answer is
$0.85414557297024 \times {10}^{7}$
..

7 0

2 years ago