Select the best answer for the question.

A tree is 8.5 meters tall. What is its height in feet? Ues the following conversion: 1 meter is 3.3 feet.

aniked [119]

The answer is 2.57575757576 or shortened to 2.57576 (I guess)

6 0

3 years ago

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The volume of this rectangular prism is 72 in³. What is the missing measurement for c?

chubhunter [2.5K]

Answer:

6

Step-by-step explanation:

The formula for finding the volume of a rectangular prism is lwh so u multiply 3 and 4 which is 12 and divide 72 by 12.

8 0

2 years ago

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Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do n

Mazyrski [523]

We can use the fact that, for $|x|$ ,

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

Notice that

$\dfrac{\mathrm d}{\mathrm dx}\left[\dfrac1{1-x}\right]=\dfrac1{(1-x)^2}$

so that

$f(x)=\displaystyle\frac5{(1-x)^2}=5\frac{\mathrm d}{\mathrm dx}\left[\sum_{n=0}^\infty x^n\right]$

$f(x)=\displaystyle5\sum_{n=0}^\infty nx^{n-1}$

$f(x)=\displaystyle5\sum_{n=1}^\infty nx^{n-1}$

$f(x)=\displaystyle5\sum_{n=0}^\infty(n+1)x^n$

By the ratio test, this series converges if

$\displaystyle\lim_{n\to\infty}\left|\frac{(n+2)x^{n+1}}{(n+1)x^n}\right|=|x|\lim_{n\to\infty}\frac{n+2}{n+1}=|x|$

so the series has radius of convergence $R=1$ .

5 0

3 years ago

Round the number 347500 to the nearest 1000

tatyana61 [14]

Answer:

348000

Step-by-step explanation:

The place you want to round to is the thousands place. The place to the right of that is the hundreds place. If the digit in the hundreds place is 5 or more (and it is), then the rounded number will have 1 added to its thousands digit.

After making that adjustment (if necessary), all digits to the right (hundreds, tens, ones, and so on) will be set to zero.

_____

<em>Comment on rounding</em>

Various rounding schemes are in use. The one described above is the one usually taught in school. In real life, it has the disadvantage that it can add a bias to a set of numbers, making their total come out higher than desired. In order to counter that, a "round to even" rule is sometimes used.

In this problem, that would mean the thousands digit would only be changed on the condition it would be changed to an even digit. (Here, that rule would give the same result. The number 346500 would be rounded down to 346000, for example.)

Various spreadsheets and computer programs implement different rounding schemes, depending on the application and the amount of bias that is tolerable. So, you may run across one that seems to be "wrong" according to what you learned in school.

6 0

4 years ago

A pizza shops sells pizzas that are 10inches (in diameter) or larger. A 10-inch cheese pizza cost 8$ .Each additional inch costs

yuradex [85]

Answer:

y=8+1.5x+0.75z

Step-by-step explanation:

step one:

let us initialize the variables

let the cost of pizza be y

and let additional inch be x

also, let additional topping be z

step two:

we can model the cost of pizza as

y=8+1.5x+0.75z

therefore the expression for the cost of the pizza is given as

y=8+1.5x+0.75z

5 0

4 years ago