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2 years ago

Can someone explain this to me? No Links no bots.

Mathematics

1 answer:

IceJOKER [234]2 years ago

3 0

Answer:

Domain and Range. The domain of a function is the set of values that we are allowed to plug into our function. This set is the values in a function such as ). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an value in.

Step-by-step explanation:

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3 years ago

What is the sum of the geometric series rounded to the whole number

Nadusha1986 [10]

Answer:

Step-by-step explanation:

The formula of the sum of a geometric sequence:

$S_n=\dfrac{a_1(1-r^n)}{1-r}$

We have

$\sum\limits_{x=0}^{15}2\left(\dfrac{1}{2}\right)^x\to a_n=2\left(\dfrac{1}{2}\right)^n$

Calculate the common ratio:

$r=\dfrac{a_{n+1}}{a_n}$

$a_{n+1}=2\left(\dfrac{1}{2}\right)^{n+1}$

Substitute:

$r=\dfrac{2\left(\frac{1}{2}\right)^{n+1}}{2\left(\frac{1}{2}\right)^n}=\left(\dfrac{1}{2}\right)^{n+1}:\left(\dfrac{1}{2}\right)^n\\\\\text{use}\ a^n:a^m=a^{n-m}\\\\r=\left(\dfrac{1}{2}\right)^{n+1-n}=\left(\dfrac{1}{2}\right)^1=\dfrac{1}{2}$

Calculate the sum.

$a_1=2\left(\dfrac{1}{2}\right)^1=2\left(\dfrac{1}{2}\right)=1;\ r=\dfrac{1}{2},\ n=15\\\\S_{15}=\dfrac{1\left(1-\left(\frac{1}{2}\right)^{15}\right)}{1-\frac{1}{2}}=\dfrac{1-\frac{1}{2^{15}}}{\frac{1}{2}}=\left(1-\dfrac{1}{2^{15}}\right)\left(\dfrac{2}{1}\right)=2-\dfrac{2}{2^{15}}=2-\dfrac{1}{2^{14}}\\\\=2-\dfrac{1}{16384}=1\dfrac{16383}{16384}\approx2$

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4 years ago

What is the y-value when x equals - 16?

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Are you saying it equals 16 or -16??

if 16 then...
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if -16 then...
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3 years ago

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3 years ago

MaRussiya [10]

£70
if 100%= ?
80%=56

100/80=1.25
1.25 x 56
=70

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3 years ago

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