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3 years ago

Find the sum of the geometric series.

Mathematics

1 answer:

alexira [117]3 years ago

6 0

Answer:

$Sum=\frac{32}{5}=6.4$

Step-by-step explanation:

we are given geometric series as

$8-2+\frac{1}{2}-\frac{1}{8}+.......$

we can use infinite sum formula

$sum=\frac{a}{1-r}$

where

a is first term

r is common ratio

so, we have

$a=8$

$r=\frac{-2}{8}$

$r=-\frac{1}{4}$

now, we can plug values

$sum=\frac{8}{1-(-\frac{1}{4})}$

$Sum=\frac{32}{5}=6.4$

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(x^2y^-2)^3/yx^-4 please help

TiliK225 [7]

Hey is there a way you could send a photo of the equation

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2 years ago

Write the slope-intercept form of the equation that passes through the point (4,-6) and is parallel to the line y = -3/4x - 5

Karolina [17]

The equation that runs through the location (4,-6) has the slope-intercept form, $y=-\frac{3}{4}x-3$ .

<h2>Formation of the equation</h2>

A line's equation written in the slope-intercept form:

y=mx+b

where m= slope & b= y-intercept

The slope of two parallel lines is equal.

Currently, we know the line's equation:

$y=-\frac{3}{4} x-5$

here, slope, m= $-\frac{3}{4}$

A line equation is created by adding the slope's value and the point's coordinates (4, -6):

$-6=-\frac{3}{4}(4)+b$

⇒ -6=-3 +b [adding 3 to both sides]

⇒-3=b

⇒b= -3

Hence the solution is $y=-\frac{3}{4}x-3$ .

Learn more about slope-intercept form here:

brainly.com/question/9682526

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5 0

1 year ago

A bamboo plant grows about 1.26 feet each

JulsSmile [24]

Answer:

8.82 feet in one week hopes it's helps

5 0

2 years ago

Read 2 more answers

When a number x is multiplied by 6, the result is 38 .

serg [7]

X = 19/3

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6 0

3 years ago

Amelia launched her science fair rocket, and then backed away. The path of the rocket is given by the equation below, where y is

Mamont248 [21]

Answer:

1)The rocket hit the ground at $x = \frac{5}{4}$

2)The maximum height of the rocket = 12.468 feet

Step-by-step explanation:

Step(i):-

Given equation

y = -2 x² + 5 x + 7 ...(i)

Differentiating equation (i) with respective to 'x' , we get

$\frac{dy}{dx} = -2( 2x) +5(1) = -4x +5$

Equating zero

$\frac{dy}{dx} = 0$

⇒ -4 x +5 =0

⇒ -4 x = -5

⇒ $x = \frac{5}{4}$

The rocket hit the ground at $x = \frac{5}{4}$

Step(ii):-

$\frac{dy}{dx} = -4x +5$ ...(ii)

Again differentiating equation (ii) with respective to 'x' , we get

$\frac{d^{2} y}{dx^{2} } = - 4(1)$

The maximum height at x = $\frac{-5}{4}$

y = -2 x² + 5 x + 7

$y = -2 (\frac{5}{4})^{2} + 5 (\frac{5}{4} ) + 7$

$y = \frac{-2(25)+ 25 (16)+7(64)}{64}$

$y = \frac{798}{64} = 12.468 feet$

The maximum height of the rocket = 12.468 feet

4 0

2 years ago