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3 years ago

Which of these needs the denominator rationalized? -PLEASE HELP

Mathematics

1 answer:

valentinak56 [21]3 years ago

4 0

Answer:

option b

Step-by-step explanation:

$\sqrt{ \frac{5}{3} }$

$\frac{ \sqrt{5} }{ \sqrt{3} }$

the denominator is in the surd form, so it must be rationalized

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Use Excel graphing. Then make histogram (a graph that represents values with columns)

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3 years ago

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mihalych1998 [28]

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4 years ago

Write out the first few terms of the series Summation from n equals 0 to infinity (StartFraction 2 Over 3 Superscript n EndFract

anyanavicka [17]

Answer:

$\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n} = 15/8$

Step-by-step explanation:

The sum you are trying to understand is this.

$\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n}$

Remember that in general when you have a geometric series

$\sum\limits_{n = 0}^{\infty} a*r^n$ you have that

$\sum\limits_{n = 0}^{\infty} a*r^n = \frac{a}{1-r}$ and that equality is true as long as $|r| < 1$ .

Therefore here we have

$\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n} = \sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{3*5} \big)^n = \sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{15} \big)^n$ and $\big|\frac{-1}{15} \big| = \frac{1}{15} < 1$

Therefore we can use the formula and

$\sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{15} \big)^n = \frac{2}{1-(-1/15)} = \frac{2}{1+1/15} = 30/16 = 15/8$

5 0

3 years ago

Point p lies on the directed line segment from A (2,3) to B (8,0) and portions the segment in the ratio 2 to 1

Arturiano [62]

Answer:

The x-coordinate of point P is 6

Step-by-step explanation:

we have

A (2,3) and B (8,0)

we know that

Point P portions the segment AB in the ratio 2 to 1

$AP=\frac{2}{3} AB$

and

$AP_x=\frac{2}{3} AB_x$

where

AP_x represent the distance between the points A and P in the x-coordinates

AB_x represent the distance between the points A and B in the x-coordinates

$AB_x=8-2=6\ units$

$AP_x=\frac{2}{3} (6)=4\ units$

The x-coordinate of P is equal to

$P_x=A_x+AP_x$

where

A_x represent the x-coordinate of A

substitute the values

$P_x=2+4=6$

therefore

The x-coordinate of point P is 6

6 0

3 years ago

Kenji buys 3 yards of fabric for $7.47. Then he realizes that he needs 2 more yards. How much will the extra fabric cost?

bixtya [17]

3 yards fabric costs $7.47
1 yard fabric costs $7.47 / 3
2 yard fabric costs $7.47 / 3 * 2
= $4.98
so, the extra fabric will cost $4.98

4 0

3 years ago

Read 2 more answers