All categories

3 years ago

30 divided by 4,800

Mathematics

2 answers:

DedPeter [7]3 years ago

8 0

30/4800 = 3/480

= 1/160 in fraction form

= 0.00625 in decimal form

White raven [17]3 years ago

4 0

0.00625 or as a fraction 4800/30<span> </span>

You might be interested in

(a) Use the power series expansions for ex, sin x, cos x, and geometric series to find the first three nonzero terms in the powe

Fofino [41]

Answer:

a) $\mathbf{4 + \dfrac{x}{1!}- \dfrac{2x^2}{2!} ...}$

b) See Below for proper explanation

Step-by-step explanation:

a) The objective here is to Use the power series expansions for ex, sin x, cos x, and geometric series to find the first three nonzero terms in the power series expansion of the given function.

The function is $e^x + 3 \ cos \ x$

The expansion is of $e^x$ is $e^x = 1 + \dfrac{x}{1!}+ \dfrac{x^2}{2!}+ \dfrac{x^3}{3!} + ...$

The expansion of cos x is $cos \ x = 1 - \dfrac{x^2}{2!}+ \dfrac{x^4}{4!}- \dfrac{x^6}{6!}+ ...$

Therefore; $e^x + 3 \ cos \ x = 1 + \dfrac{x}{1!}+ \dfrac{x^2}{2!}+ \dfrac{x^3}{3!} + ... 3[1 - \dfrac{x^2}{2!}+ \dfrac{x^4}{4!}- \dfrac{x^6}{6!}+ ...]$

$e^x + 3 \ cos \ x = 4 + \dfrac{x}{1!}- \dfrac{2x^2}{2!} + \dfrac{x^3}{3!}+ ...$

Thus, the first three terms of the above series are:

$\mathbf{4 + \dfrac{x}{1!}- \dfrac{2x^2}{2!} ...}$

The series for $e^x + 3 \ cos \ x$ is $\sum \limits^{\infty}_{x=0} \dfrac{x^x}{n!} + 3 \sum \limits^{\infty}_{x=0} ( -1 )^x \dfrac{x^{2x}}{(2n)!}$

let consider the series; $\sum \limits^{\infty}_{x=0} \dfrac{x^x}{n!}$

$|\frac{a_x+1}{a_x}| = | \frac{x^{n+1}}{(n+1)!} * \frac{n!}{x^x}| = |\frac{x}{(n+1)}| \to 0 \ as \ n \to \infty$

Thus it converges for all value of x

Let also consider the series $\sum \limits^{\infty}_{x=0}(-1)^x\dfrac{x^{2n}}{(2n)!}$

It also converges for all values of x

7 0

3 years ago

What is the value of the expression 5y² + 4x when x = 2.5 and y = 3?

Gemiola [76]

Answer:

Step-by-step explanation:

5(3)^2+4(2.5)

5(9)+4(2.5)

45+10

7 0

3 years ago

Read 2 more answers

Mrs. Smith is making fruit skewers for a party. She has 275 pieces of fruit. She skewers 4 pieces of fruit on each stick. How ma

atroni [7]

You would take 275/4 and get 68.75, meaning she will need 69 skewers but one will be incomplete, or she will need 68 and have 3 pieces of fruit left over.

4 0

3 years ago

Read 2 more answers

John, Paul, and George gather aluminum and tin cans to exchanges for money at the local recycling plant. One day, the three men

forsale [732]

To find the percent of the total that George collected, you need to create a ratio with the number of pounds George collected compared to the number of total pounds that were collected.

You will then divide these to find the part (decimal) that George collected. You can convert the decimal to a percent.

3 1/4+6 1/3+11 1/6 = 20 3/4 total pounds of cans.

11 1/6 George
20 3/4 total

11 1/6÷20 3/4 = 0.538
0.538 is approximately 54%.

George collected proximately 54% of the total amount of cans.

6 0

3 years ago

Which of the following illustrates the truth value of the given conditional statement?

jeka57 [31]

<span>I'm pretty sure it's F T → F. I can't believe nobody answered this question yet. SMH </span>

6 0

3 years ago