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3 years ago

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Express the series using sigma notation. 2 - 6 + 18 – 54 + 162 ...

1 answer:

andrey2020 [161]3 years ago

4 0

This is ur required result in attachment

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Gino studied 3/4 hour for his test on Monday. He studied another 2/4 hour on Tuesday. How long did he study in all?

dybincka [34]

Gino studied for 5/4 hours in all. To get this, do 3+2 for the numerator and just put 4 as the denominator. (Four just stays the same the denominator is all fours. If you want more details just put it on comments.) Now you have the answer: 5/4 hours.

8 0

3 years ago

Find the equation of the parallel to the line 3x-2y=5 and passing through the midpoint of the line segment joining the points (-

levacccp [35]

Given:

The equation of parallel line is:

$3x-2y=5$

The required line passing through the midpoint of the line segment joining the points (-4,2) and (2,4).

To find:

The equation of required line.

Solution:

Midpoint of line segment joining the points (-4,2) and (2,4) is:

$Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

$Midpoint=\left(\dfrac{-4+2}{2},\dfrac{2+4}{2}\right)$

$Midpoint=\left(\dfrac{-2}{2},\dfrac{6}{2}\right)$

$Midpoint=\left(-1,3\right)$

It means the required line passes through the point (-1,3).

The slope of line $Ax+By=C$ is:

$m=\dfrac{-A}{B}$

The given equation is:

$3x-2y=5$

Here, A=3 and B=-2. So, the slope of the line is:

$m=\dfrac{-3}{-2}$

$m=1.5$

Slope of parallel lines are same. So, the slope of the required line is 1.5.

The required line passes through the point (-1,3) with slope 1.5. So, the equation of the line is:

$y-y_1=m(x-x_1)$

$y-3=1.5(x-(-1))$

$y-3=1.5(x+1)$

$y-3=1.5x+1.5$

Adding 3 on both sides, we get

$y=1.5x+1.5+3$

$y=1.5x+4.5$

Therefore, the equation of the required line is $y=1.5x+4.5$ .

8 0

3 years ago

on monday, elliot road 6 miles on a bike. on tuesday he rode 6 miles on wednesday he rode 3 times farther than he did monday and

Darya [45]

Answer:

48

Step-by-step explanation:

Because 6 plus 6 is 12 and if he rode 3 times how much he rode on those days it would be 12 times 3 which is 36 than it's 36 plus 12 to get 48

5 0

3 years ago

Read 2 more answers

Which graph represents the function y= 2/3x-2?<br>

Volgvan

I believe it’s the 3rd one

8 0

3 years ago

Read 2 more answers

Convert a markup of 15% on selling price to its equivalent markup on cost.

spayn [35]

Answer:

option: D is correct. ( (D) a markup of 15% on selling price is equivalent to a 85% markup on cost ).

Step-by-step explanation:

" Markup is the percentage difference between a product's cost and its selling price "

Since we are asked to Convert a markup of 15% on selling price to its equivalent markup on cost.

As there is a markup of 15% on selling price. Hence the cost of the product would be (100-15)%=85% of the selling price.

<em>Hence, a markup of 15% on selling price is equivalent to a 85% markup on cost.</em>

<em>Hence, option D is true.</em>

5 0

4 years ago