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2 years ago

15

The school council vote on the 2 candidates to become the student council president, they never votes for candidate, one was 523

, the number of votes for care did to was 412, about what percent of the votes were for candidate one

1 answer:

laila [671]2 years ago

5 0

With my calculation it says 55.5

( Sorry if incorrect)

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A dozen apples cost$4.92 for a dozen apples is a ratio of what per Apple

serg [7]

Answer:

12 : 4.92

Step-by-step explanation:

a= apples

12a=4.92

12 : 4.92

3 0

2 years ago

Can someone help me please

denis23 [38]

Answer:

Step-by-step explanation:

5.70 divided by 3

witch would be $1.90

3 0

2 years ago

Read 2 more answers

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

Click on the graphic to select the figure that would make the following a reflection in line k

Roman55 [17]

I remember answering the same question, but you didn't attach any photos. But I remember that the answer is the first one.

I hope I helped. Stay safe and God bless!

- Eli <3

6 0

2 years ago

Michele is starting a new pool-cleaning business. It costs her $85 to purchase supplies. Michele charges $40 each time she clean

Alex787 [66]

Answer:

Option A : y = 40x - 85 is the correct answer.

Step-by-step explanation:

Given that:

Cost of purchasing supplies = $85

Cost charged for cleaning a pool = $40

Let,

x be the number of pools cleaned.

y be the profit

Profit = Cost of pools cleaned - purchase price of supplies

y = 40x - 85

Hence,

Option A : y = 40x - 85 is the correct answer.

8 0

2 years ago