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2 years ago

Which of the following statements is true?

Mathematics

1 answer:

valentinak56 [21]2 years ago

5 0

Answer:

All the populations in an ecosystem form the community.

Step-by-step explanation:

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Suppose that the time it takes to do a job is inversely proportional to the number of workers. that is, the more workers on the

Maurinko [17]

I think it would be 2 days. you would get it done 4 times faster, so 8/4 is 2

7 0

3 years ago

If f (n)(0) = (n + 1)! for n = 0, 1, 2, , find the taylor series at a=0 for f.

Pie

Given that $f^{(n)}(0)=(n+1)!$ , we have for $f(x)$ the Taylor series expansion about 0 as

$f(x)=\displaystyle\sum_{n=0}^\infty\frac{(n+1)!}{n!}x^n=\sum_{n=0}^\infty(n+1)x^n$

Replace $n+1$ with $n$ , so that the series is equivalent to

$f(x)=\displaystyle\sum_{n=1}^\infty nx^{n-1}$

and notice that

$\displaystyle\frac{\mathrm d}{\mathrm dx}\sum_{n=0}^\infty x^n=\sum_{n=1}^\infty nx^{n-1}$

Recall that for $|x|$ , we have

$\displaystyle\sum_{n=0}^\infty x^n=\frac1{1-x}$

which means

$f(x)=\displaystyle\sum_{n=1}^\infty nx^{n-1}=\frac{\mathrm d}{\mathrm dx}\frac1{1-x}$
$\implies f(x)=\dfrac1{(1-x)^2}$

5 0

3 years ago

You are planting 47 flowers but want them to go into 6 rows . How many flowers will be in each row ?

Darina [25.2K]

Answer:

<u><em /></u> $7$ $flowers$ $with$ $4$ $flowers$ $left$ $over$

Step-by-step explanation

$47$ ÷ $6$

4 0

3 years ago

Use the Distributive Property to simplify the following expression: [7 + (−2)]⋅(−3)

Andrei [34K]

D. 12 hope this help

3 0

3 years ago

A custodian plans to repaint some classrooms. He has 5 = gallons of paint. All of

dlinn [17]

Answer: 2 bookcases.

Step-by-step explanation:

Let be "x" the number of bookcases that the custodian will be able to repaint completly with 5 gallons of paint.

According to the data given, the custodian needs 2 gallons of paint to repaint one bookcase. Since all the bookcases are equal, you can set up the following proportion:

$\frac{2}{1}=\frac{5}{x}$

Now you must solve for "x" in order to find its value:

$(x)(\frac{2}{1})=5\\\\2x=5\\\\x=\frac{5}{2}\\\\x=2.5$

Notice that the custodian will be able to repaint 2 bookcases completely, then you can say that:

$x\approx2$

5 0

3 years ago