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2 years ago

Help! please don't get it wrong

Mathematics

1 answer:

AfilCa [17]2 years ago

7 0

C. because When you connect the two with a straight line for both answers eliminated the other three options. Hope this helps:)

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What is the sum of the geometric series

lbvjy [14]

If $S$ denotes the sum of the first $n$ terms of a geometric series with first term $a$ and common ratio $r$ , then

$S=a+ar+ar^2+\cdots+ar^{n-3}+ar^{n-2}+ar^{n-1}$
$rS=ar+ar^2+ar^3+\cdots+ar^{n-2}+ar^{n-1}+ar^n$
$\implies S-rS=a+(ar-ar)+(ar^2-ar^2)+\cdots+(ar^{n-1}-ar^{n-1})-ar^n$
$\implies (1-r)S=a(1-r^n)$
$\implies S=a=\dfrac{1-r^n}{1-r}$

Using summation notation, you have

$S=\displaystyle\sum_{x=1}^nar^{x-1}=\sum_{x=0}^{n-1}ar^x=a\dfrac{1-r^n}{1-r}$

In this case, you have $a=2$ , $r=\dfrac12$ , and $n=16$ . So the value of the sum is

$\displaystyle\sum_{x=0}^{15}2\left(\frac14\right)^x=2\dfrac{1-\left(\frac14\right)^{16}}{1-\frac14}\approx2.67$

Rounded to the nearest whole number, the answer would be 3.

4 0

3 years ago

Read 2 more answers

Your answer must be simplified.

JulijaS [17]

Answer:

The simplified form is $x\geq -99$ .

Step-by-step explanation:

Given : Expression $\frac{x}{3}\geq -33$

To find : The simplified expression ?

Solution :

Expression $\frac{x}{3}\geq -33$

Multiply 3 both side,

$\frac{x}{3}\times 3\geq -33\times 3$

$x\geq -99$

Therefore, the simplified form is $x\geq -99$ .

8 0

3 years ago

Given 16 = −5 + z4solve for z

AysviL [449]

Hi,

$16 = - 5 + z4 \\ - 4z + 16 = - 5 \\ - 4z = - 5 - 16 \\ - 4z = -21$

Now just divide both sides of equation by -4.

$z = \frac{21}{4}$

Simplify:

$z = 5 \frac{1}{4} \: \: \: \: \: \: \: \: \: \: \: \: \: fraction \: result$

Decimal form:

$z = 5.25 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: decimal \: result$

Hope this helps.
r3t40

8 0

3 years ago

Read 2 more answers

This data gives the average number of hours different students spend on the computer each day.

Ulleksa [173]

Answer:

Step-by-step explanation: