Three pounds of shrimp costs 16.47 at the grocery store. ? is the unit price of the shrimp in dollars per pound

In February, Paul's electric bill was three dollars more then one-half his gas bill. If the electric bill was ninety-two dollars

USPshnik [31]

Answer:

49$

Step-by-step explanation:

7 0

3 years ago

There are 30 singers in a show. The ratio of singers to dancers is 5:6. How many dancers are there?

Tamiku [17]

Answer: 32 dancers

Step-by-step explanation:

I drew a chart and on the side with the singers you count by 5's until u get to 30. On the dancers side of the chart you count by 6's until it lines up with 30 on the singers side.

5 0

2 years ago

Read 2 more answers

How do you find 65% of 100

galben [10]

You multiply .65 times 100 and you get 65 which is 65% of 100

7 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}}$