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S_A_V [24]
3 years ago
11

BRAINLIEST! It would take 4 hours to fill an aquarium using water from 10 taps.

Mathematics
1 answer:
Fantom [35]3 years ago
7 0

Answer:

6 hours and 40 minutes

Step-by-step explanation:

10 taps = 4 hours

( ÷ 10 )         ( × 10 )

1 taps = 40 hours

( × 6 )       ( ÷ 6 )

6 taps = 6.66666666667 hours / 400 minutes

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Jamie's family went to the beach. They got to the beach at 9:55 A.M. and swam in the ocean for 50 minutes. Then they built sand
Allushta [10]

Answer:

11:40 A.M.

Step-by-step explanation:

3 0
2 years ago
Find the missing length indicated.
fredd [130]
The answer to this is 36.
4 0
3 years ago
Use the definition of a Taylor series to find the first three non zero terms of the Taylor series for the given function centere
Ket [755]

Answer:

e^{4x}=e^4+4e^4(x-1)+8e^4(x-1)^2+...

\displaystyle e^{4x}=\sum^{\infty}_{n=0} \dfrac{4^ne^4}{n!}(x-1)^n

Step-by-step explanation:

<u>Taylor series</u> expansions of f(x) at the point x = a

\text{f}(x)=\text{f}(a)+\text{f}\:'(a)(x-a)+\dfrac{\text{f}\:''(a)}{2!}(x-a)^2+\dfrac{\text{f}\:'''(a)}{3!}(x-a)^3+...+\dfrac{\text{f}\:^{(r)}(a)}{r!}(x-a)^r+...

This expansion is valid only if \text{f}\:^{(n)}(a) exists and is finite for all n \in \mathbb{N}, and for values of x for which the infinite series converges.

\textsf{Let }\text{f}(x)=e^{4x} \textsf{ and }a=1

\text{f}(x)=\text{f}(1)+\text{f}\:'(1)(x-1)+\dfrac{\text{f}\:''(1)}{2!}(x-1)^2+...

\boxed{\begin{minipage}{5.5 cm}\underline{Differentiating $e^{f(x)}$}\\\\If  $y=e^{f(x)}$, then $\dfrac{\text{d}y}{\text{d}x}=f\:'(x)e^{f(x)}$\\\end{minipage}}

\text{f}(x)=e^{4x} \implies \text{f}(1)=e^4

\text{f}\:'(x)=4e^{4x} \implies \text{f}\:'(1)=4e^4

\text{f}\:''(x)=16e^{4x} \implies \text{f}\:''(1)=16e^4

Substituting the values in the series expansion gives:

e^{4x}=e^4+4e^4(x-1)+\dfrac{16e^4}{2}(x-1)^2+...

Factoring out e⁴:

e^{4x}=e^4\left[1+4(x-1)+8}(x-1)^2+...\right]

<u>Taylor Series summation notation</u>:

\displaystyle \text{f}(x)=\sum^{\infty}_{n=0} \dfrac{\text{f}\:^{(n)}(a)}{n!}(x-a)^n

Therefore:

\displaystyle e^{4x}=\sum^{\infty}_{n=0} \dfrac{4^ne^4}{n!}(x-1)^n

7 0
1 year ago
In the figure, a∥e , m∥n , and m∠2 = 112°.
MatroZZZ [7]

Answer

Find out the  m∠6  .

To prove

As given

a∥e , m∥n , and m∠2 = 112°.

As  m∥n

a is the transversal (A line that cuts across two or more (usually parallel) lines is called transverasl.)

Thus

∠ 2 = ∠3 ( Corresponding angle property )

∠3 = 112°

Also

a∥e and m is transversal .

∠ 3 = ∠6 = 112 ° ( Corresponding angle property )

Therefore

∠6 = 112°

3 0
3 years ago
Read 2 more answers
PLS HELP ASAP I REALLY NEED HELP!!!!
maks197457 [2]

Answer:

11 1/5

Step-by-step explanation:

3 1/2 + 2 57/60 + 4 3/4 =

3 30/60 + 2 57/60 + 4 45/60 =

9 132/60 = 1

1 12/60 =

11 1/5

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

7 0
2 years ago
Read 2 more answers
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