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inn [45]
3 years ago
15

WORTH 10 points.

Mathematics
1 answer:
Tanya [424]3 years ago
8 0
The answer is B because I did the math
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The equation 9y-6x=36 is written in standard form. What is the first step when writing an equivalent equation which solves for x
defon
The answer is D. Subtract 9y from both sides of the equation. 
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3 years ago
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Use the formula you learned to answer the question. If a dogsled team travels 4 kilometers in 8 minutes, what is the speed of th
bonufazy [111]

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C-0.5km

Step-by-step explanation:

you can simplify both the kilometers and minutes to 1 kilometer in 2 minutes or 0.5 kilometer in 1 minute.  Hope this helps!

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3 years ago
Write the mixed number as a percent <br><br> 2 41/50
ehidna [41]

Answer:

∴ 2 \frac{41}{50}  = 282 %

Step-by-step explanation:

2 \frac{41}{50}

= [( 2 × 50) + 41] ÷ 50

=  ( 100 + 41) ÷ 50

= \frac{141}{50}

=( \frac{141 }{50} ) × \frac{2}{2}

= \frac{282}{100}

= 282 %

∴ 2 \frac{41}{50}  = 282 %

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3 years ago
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Myra likes blueberry yogurt, but cherry yogurt is her favorite. Yesterday, she bought 3 cartons of cherry yogurt for every 2 car
cupoosta [38]

Answer:

9 cherry, 6 blueberry

Step-by-step explanation:

lets do a table!

cherry | blueberry

----------------------------

   3             2

   6             4

   9             6

When there are 2 blueberry, there are 3 cherry. 3 is 1 more than 2. When there are 4 blueberry, there are 6 cherry. 6 is 2 more than 4. When there are 6 blueberry, there aare 9 cherry. 9 is 3 more than 6.

7 0
2 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
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